%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP240-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:15 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 79
% Syntax : Number of formulae : 516 ( 27 unt; 21 def)
% Number of atoms : 1869 ( 513 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2549 (1196 ~;1332 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f7,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c10) = sk_c9
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c10) = sk_c9
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( inverse(sk_c10) = sk_c9
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( inverse(sk_c10) = sk_c9
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( inverse(sk_c10) = sk_c9
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f23,negated_conjecture,
( inverse(sk_c9) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c10 = inverse(sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c9) = sk_c10
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c10 = inverse(sk_c9)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c9) = sk_c10
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c10 = inverse(sk_c9)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c9) = sk_c10
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c10 = inverse(sk_c9)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c10 = inverse(sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c9) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c10 = inverse(sk_c9)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c9) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c10 = inverse(sk_c9)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c9 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f80,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f82,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f86,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f88,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f92,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f94,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f96,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f98,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f100,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f104,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f106,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f105]) ).
fof(f107,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f108,plain,
( sk_c10 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f107]) ).
fof(f109,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f110,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f109]) ).
fof(f111,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f112,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f114,plain,
( sk_c10 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f116,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f115]) ).
fof(f117,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c10) != sk_c9
| inverse(sk_c9) != sk_c10
| multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c9
| multiply(sk_c10,X1) != sk_c9
| multiply(X2,sk_c10) != X1
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,X5) != sk_c9
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c9
| multiply(sk_c10,X6) != sk_c9
| multiply(X7,sk_c10) != X6
| inverse(X7) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).
fof(f118,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,X1)
| multiply(X2,sk_c10) != X1
| sk_c10 != inverse(X2)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c9 != multiply(X5,sk_c10)
| sk_c9 != multiply(sk_c10,X6)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X7) ),
inference(reorient_equations,[],[f117]) ).
fof(f119,plain,
! [X2,X3,X0,X6,X7,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != inverse(X2)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c9 != multiply(X5,sk_c10)
| sk_c9 != multiply(sk_c10,X6)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f118]) ).
fof(f120,plain,
! [X2,X3,X0,X6,X7,X4] :
( inverse(sk_c10) != sk_c9
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != inverse(X2)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(sk_c10,X6)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f119]) ).
fof(f121,plain,
! [X2,X3,X0,X7,X4] :
( inverse(sk_c10) != sk_c9
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != inverse(X2)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f120]) ).
fof(f123,definition,
( spl0_1
<=> ! [X7] :
( sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f124,plain,
( ! [X7] :
( sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f127,plain,
( ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,definition,
( spl0_3
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f130,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,definition,
( spl0_4
<=> ! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f133,plain,
( ! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,definition,
( spl0_5
<=> sk_c10 = inverse(sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f136,plain,
( sk_c10 = inverse(sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f137,plain,
( sk_c10 != inverse(sk_c9)
| spl0_5 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl0_6
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f140,plain,
( inverse(sk_c10) = sk_c9
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( inverse(sk_c10) != sk_c9
| spl0_6 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f121,f139,f135,f132,f123,f129,f126,f123]) ).
fof(f144,definition,
( spl0_7
<=> sk_c10 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f146,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl0_8
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f150,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f116,f148,f144]) ).
fof(f153,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c7,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f155,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f114,f148,f153]) ).
fof(f158,definition,
( spl0_10
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f160,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f112,f148,f158]) ).
fof(f163,definition,
( spl0_11
<=> sk_c9 = multiply(sk_c6,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f165,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f110,f148,f163]) ).
fof(f168,definition,
( spl0_12
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f170,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f108,f148,f168]) ).
fof(f173,definition,
( spl0_13
<=> sk_c9 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f175,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f106,f148,f173]) ).
fof(f178,definition,
( spl0_14
<=> sk_c10 = multiply(sk_c4,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f180,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f104,f148,f178]) ).
fof(f183,definition,
( spl0_15
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f185,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f186,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f102,f148,f183]) ).
fof(f188,definition,
( spl0_16
<=> sk_c3 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f190,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f191,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f100,f188,f144]) ).
fof(f192,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f98,f188,f153]) ).
fof(f193,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f96,f188,f158]) ).
fof(f194,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f94,f188,f163]) ).
fof(f195,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f92,f188,f168]) ).
fof(f196,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f90,f188,f173]) ).
fof(f197,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f88,f188,f178]) ).
fof(f198,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f86,f188,f183]) ).
fof(f200,definition,
( spl0_17
<=> sk_c9 = multiply(sk_c10,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f202,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f84,f200,f144]) ).
fof(f204,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f82,f200,f153]) ).
fof(f205,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f80,f200,f158]) ).
fof(f206,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f78,f200,f163]) ).
fof(f207,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f76,f200,f168]) ).
fof(f208,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f74,f200,f173]) ).
fof(f209,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f72,f200,f178]) ).
fof(f210,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f70,f200,f183]) ).
fof(f212,definition,
( spl0_18
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f214,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,plain,
( spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f68,f212,f144]) ).
fof(f216,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f66,f212,f153]) ).
fof(f217,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f64,f212,f158]) ).
fof(f218,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f62,f212,f163]) ).
fof(f219,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f60,f212,f168]) ).
fof(f220,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f58,f212,f173]) ).
fof(f221,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f56,f212,f178]) ).
fof(f222,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f54,f212,f183]) ).
fof(f224,definition,
( spl0_19
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f226,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f227,plain,
( spl0_7
| spl0_19 ),
inference(avatar_split_clause,[],[f52,f224,f144]) ).
fof(f228,plain,
( spl0_9
| spl0_19 ),
inference(avatar_split_clause,[],[f50,f224,f153]) ).
fof(f229,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f48,f224,f158]) ).
fof(f230,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f46,f224,f163]) ).
fof(f231,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f44,f224,f168]) ).
fof(f232,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f42,f224,f173]) ).
fof(f233,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f40,f224,f178]) ).
fof(f234,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f38,f224,f183]) ).
fof(f235,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f36,f135,f144]) ).
fof(f236,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f34,f135,f153]) ).
fof(f237,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f135,f158]) ).
fof(f238,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f30,f135,f163]) ).
fof(f239,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f135,f168]) ).
fof(f240,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f26,f135,f173]) ).
fof(f241,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f24,f135,f178]) ).
fof(f243,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f139,f144]) ).
fof(f244,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f139,f153]) ).
fof(f245,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f139,f158]) ).
fof(f246,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f139,f163]) ).
fof(f247,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f139,f168]) ).
fof(f248,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f139,f173]) ).
fof(f249,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f139,f178]) ).
fof(f251,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f3,f146]) ).
fof(f252,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_12 ),
inference(superposition,[],[f3,f170]) ).
fof(f256,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl0_14 ),
inference(superposition,[],[f4,f180]) ).
fof(f259,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f175]) ).
fof(f260,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f165]) ).
fof(f261,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c10,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f155]) ).
fof(f262,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f256,f1]) ).
fof(f265,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f251]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f265,f1]) ).
fof(f274,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f266,f155]) ).
fof(f281,plain,
( sk_c10 = sk_c9
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f160,f274]) ).
fof(f283,plain,
( multiply(sk_c9,sk_c10) = multiply(sk_c5,sk_c9)
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f259,f165]) ).
fof(f288,plain,
( multiply(sk_c10,sk_c10) = multiply(sk_c5,sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f283,f281]) ).
fof(f292,plain,
( sk_c10 != inverse(sk_c10)
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f137,f281]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f260,f266]) ).
fof(f298,plain,
( multiply(sk_c6,identity) = multiply(sk_c9,sk_c7)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f260,f251]) ).
fof(f303,plain,
( multiply(sk_c10,sk_c7) = multiply(sk_c6,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f298,f281]) ).
fof(f307,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f294,f281]) ).
fof(f310,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f303,f251]) ).
fof(f314,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f307,f266]) ).
fof(f340,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f262,f3]) ).
fof(f341,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f262,f262]) ).
fof(f345,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f262,f274]) ).
fof(f348,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c10)
| ~ spl0_14 ),
inference(superposition,[],[f262,f180]) ).
fof(f350,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_13 ),
inference(superposition,[],[f262,f175]) ).
fof(f351,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),multiply(sk_c9,X0))
| ~ spl0_13 ),
inference(superposition,[],[f262,f259]) ).
fof(f352,plain,
( identity = multiply(inverse(sk_c6),identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f262,f310]) ).
fof(f355,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl0_12 ),
inference(superposition,[],[f262,f252]) ).
fof(f364,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f352,f355]) ).
fof(f365,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),multiply(sk_c10,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f351,f281]) ).
fof(f366,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f350,f281]) ).
fof(f368,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f348,f185]) ).
fof(f370,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f345,f3]) ).
fof(f372,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f340,f341]) ).
fof(f373,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f365,f170]) ).
fof(f374,plain,
( sk_c6 = multiply(sk_c6,sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f366,f170]) ).
fof(f376,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f368,f281]) ).
fof(f378,plain,
( sk_c5 = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f370,f364]) ).
fof(f380,plain,
( ! [X0] : multiply(X0,sk_c5) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f372,f364]) ).
fof(f381,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,X0)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f373,f260]) ).
fof(f382,plain,
( sk_c9 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f374,f165]) ).
fof(f384,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f381,f314]) ).
fof(f385,plain,
( sk_c10 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f382,f281]) ).
fof(f386,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f384,f281]) ).
fof(f402,plain,
( multiply(sk_c7,sk_c10) = multiply(sk_c8,sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f261,f376]) ).
fof(f404,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f262,f376]) ).
fof(f406,plain,
( identity = sk_c10
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f404,f3]) ).
fof(f408,plain,
( multiply(sk_c7,sk_c10) = multiply(sk_c5,sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f402,f378]) ).
fof(f410,plain,
( multiply(sk_c7,sk_c10) = multiply(sk_c10,sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f408,f288]) ).
fof(f411,plain,
( sk_c10 = multiply(sk_c7,sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f410,f376]) ).
fof(f425,plain,
( multiply(sk_c4,sk_c9) = multiply(sk_c10,sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f258,f380]) ).
fof(f429,plain,
( sk_c5 = multiply(sk_c10,sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f266,f380]) ).
fof(f430,plain,
( sk_c5 = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f429,f386]) ).
fof(f434,plain,
( multiply(sk_c4,sk_c9) = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f425,f386]) ).
fof(f440,plain,
( sk_c10 = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f434,f180]) ).
fof(f488,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f146,f430]) ).
fof(f489,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f488,f440]) ).
fof(f494,plain,
( $false
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f489,f292]) ).
fof(f495,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f499,plain,
( sk_c10 != inverse(sk_c10)
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f141,f281]) ).
fof(f500,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f499,f489]) ).
fof(f501,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f502,plain,
( ! [X0] :
( sk_c10 != multiply(X0,sk_c10)
| inverse(X0) != sk_c9 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f133,f281]) ).
fof(f504,plain,
( ! [X0] :
( sk_c10 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f502,f281]) ).
fof(f505,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(identity)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f504,f1]) ).
fof(f514,plain,
( sk_c10 != inverse(identity)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f505]) ).
fof(f522,plain,
( sk_c10 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f514,f364]) ).
fof(f527,plain,
( sk_c10 != sk_c6
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f522,f170]) ).
fof(f532,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f527,f385]) ).
fof(f533,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f534,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f124,f386]) ).
fof(f535,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f534,f281]) ).
fof(f536,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f380,f440]) ).
fof(f549,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f535,f1]) ).
fof(f551,plain,
( identity != sk_c10
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f535,f3]) ).
fof(f558,plain,
( sk_c10 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f549]) ).
fof(f565,plain,
( sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f551,f406]) ).
fof(f567,plain,
( sk_c10 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f558,f364]) ).
fof(f571,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f565,f489]) ).
fof(f572,plain,
( sk_c10 != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f567,f170]) ).
fof(f575,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f571,f489]) ).
fof(f576,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f577,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f572,f385]) ).
fof(f578,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f579,plain,
( ! [X4] :
( sk_c10 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f127,f281]) ).
fof(f580,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c10 != multiply(X4,inverse(X4)) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f579,f536]) ).
fof(f581,plain,
( ! [X4] :
( sk_c10 != multiply(X4,inverse(X4))
| sk_c10 != inverse(X4) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f580,f281]) ).
fof(f591,plain,
( sk_c10 != multiply(sk_c7,sk_c10)
| sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f581,f146]) ).
fof(f592,plain,
( sk_c10 != multiply(sk_c5,sk_c6)
| sk_c10 != sk_c6
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f581,f170]) ).
fof(f600,plain,
( sk_c10 != multiply(sk_c7,sk_c10)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f591]) ).
fof(f606,plain,
( sk_c10 != multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f592,f385]) ).
fof(f607,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f600,f411]) ).
fof(f608,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f610,plain,
( sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f606,f175]) ).
fof(f613,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f610,f281]) ).
fof(f614,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f639,plain,
( sk_c6 = multiply(sk_c6,sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f350,f170]) ).
fof(f640,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f262,f136]) ).
fof(f641,plain,
( identity = multiply(sk_c10,sk_c9)
| ~ spl0_5 ),
inference(superposition,[],[f3,f136]) ).
fof(f645,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f150]) ).
fof(f647,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_18 ),
inference(superposition,[],[f3,f214]) ).
fof(f648,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f262,f190]) ).
fof(f650,plain,
( sk_c10 = multiply(sk_c10,sk_c3)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f648,f150]) ).
fof(f653,plain,
( sk_c3 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_17 ),
inference(superposition,[],[f262,f202]) ).
fof(f655,plain,
( sk_c3 = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f653,f140]) ).
fof(f657,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_19 ),
inference(superposition,[],[f262,f226]) ).
fof(f658,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl0_19 ),
inference(superposition,[],[f4,f226]) ).
fof(f659,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f657,f214]) ).
fof(f661,plain,
( multiply(sk_c6,identity) = multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f260,f641]) ).
fof(f666,plain,
( sk_c3 = multiply(sk_c6,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f661,f655]) ).
fof(f668,plain,
( sk_c6 = sk_c3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f666,f372]) ).
fof(f671,plain,
( identity != sk_c10
| sk_c10 != inverse(inverse(sk_c9))
| ~ spl0_3 ),
inference(superposition,[],[f130,f3]) ).
fof(f673,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f130,f180]) ).
fof(f676,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f673]) ).
fof(f678,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f676,f185]) ).
fof(f679,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f681,plain,
( sk_c10 != inverse(sk_c10)
| identity != sk_c10
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f671,f136]) ).
fof(f687,definition,
( spl0_21
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f688,plain,
( sk_c10 = sk_c9
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( sk_c10 != sk_c9
| spl0_21 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f693,definition,
( spl0_22
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f694,plain,
( identity = sk_c10
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f695,plain,
( identity != sk_c10
| spl0_22 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f697,plain,
( sk_c10 != sk_c9
| identity != sk_c10
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f681,f140]) ).
fof(f698,plain,
( ~ spl0_22
| ~ spl0_21
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f697,f139,f135,f129,f687,f693]) ).
fof(f708,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl0_8 ),
inference(superposition,[],[f262,f645]) ).
fof(f711,plain,
( inverse(sk_c10) = sk_c2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f708,f372]) ).
fof(f714,plain,
( sk_c9 = sk_c2
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f711,f140]) ).
fof(f716,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl0_18 ),
inference(superposition,[],[f262,f647]) ).
fof(f719,plain,
( inverse(sk_c9) = sk_c1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f716,f372]) ).
fof(f721,plain,
( sk_c10 = sk_c1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f719,f136]) ).
fof(f723,plain,
( sk_c3 = multiply(sk_c9,sk_c10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f190,f714]) ).
fof(f725,plain,
( sk_c9 = sk_c3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f723,f659]) ).
fof(f795,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f658,f721]) ).
fof(f804,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f795,f640]) ).
fof(f873,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f262,f639]) ).
fof(f875,plain,
( identity = sk_c9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f873,f3]) ).
fof(f885,plain,
( sk_c10 = multiply(sk_c10,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f650,f668]) ).
fof(f886,plain,
( sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f650,f202]) ).
fof(f891,plain,
( sk_c3 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f262,f650]) ).
fof(f894,plain,
( identity = sk_c3
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f891,f3]) ).
fof(f900,plain,
( $false
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f886,f689]) ).
fof(f901,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f902,plain,
( sk_c10 = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f885,f804]) ).
fof(f924,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f647,f688]) ).
fof(f947,plain,
( sk_c10 != sk_c10
| sk_c9 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_19 ),
inference(superposition,[],[f133,f226]) ).
fof(f948,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f947]) ).
fof(f950,plain,
( $false
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f948,f214]) ).
fof(f951,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f974,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f124,f804]) ).
fof(f975,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f974,f688]) ).
fof(f979,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f975,f1]) ).
fof(f981,plain,
( identity != sk_c10
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f975,f3]) ).
fof(f985,plain,
( sk_c10 != sk_c3
| sk_c10 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f975,f190]) ).
fof(f986,plain,
( sk_c10 != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f979]) ).
fof(f987,plain,
( sk_c10 != sk_c3
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f985,f150]) ).
fof(f990,plain,
( sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f981,f694]) ).
fof(f991,plain,
( sk_c10 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f986,f875]) ).
fof(f992,plain,
( sk_c10 != sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f987,f668]) ).
fof(f996,plain,
( sk_c10 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f990,f140]) ).
fof(f997,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f991,f136]) ).
fof(f998,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f999,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f992,f902]) ).
fof(f1000,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f1003,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f996,f136]) ).
fof(f1004,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1005,plain,
( ! [X4] :
( sk_c10 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) )
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f127,f688]) ).
fof(f1006,plain,
( ! [X4] :
( sk_c10 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X4,inverse(X4)) )
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1005,f688]) ).
fof(f1019,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f1006,f150]) ).
fof(f1033,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1019,f804]) ).
fof(f1047,plain,
( sk_c10 != sk_c3
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1033,f190]) ).
fof(f1060,plain,
( sk_c10 != sk_c6
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1047,f668]) ).
fof(f1065,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1060,f902]) ).
fof(f1066,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1065]) ).
fof(f1069,plain,
( identity = sk_c1
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f924,f804]) ).
fof(f1085,plain,
( identity = sk_c9
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f894,f725]) ).
fof(f1103,plain,
( sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1047,f725]) ).
fof(f1106,plain,
( identity = sk_c10
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1069,f721]) ).
fof(f1123,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1085,f688]) ).
fof(f1129,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1103,f688]) ).
fof(f1130,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1131,plain,
( $false
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1106,f695]) ).
fof(f1132,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1131]) ).
fof(f1144,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1123,f695]) ).
fof(f1145,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f142]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f151]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f156]) ).
cnf(s5,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f161]) ).
cnf(s6,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f166]) ).
cnf(s7,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f171]) ).
cnf(s8,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f176]) ).
cnf(s9,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f181]) ).
cnf(s10,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f186]) ).
cnf(s11,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f191]) ).
cnf(s12,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f192]) ).
cnf(s13,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f193]) ).
cnf(s14,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f194]) ).
cnf(s15,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f195]) ).
cnf(s16,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f196]) ).
cnf(s17,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f197]) ).
cnf(s18,plain,
( spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f198]) ).
cnf(s19,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f203]) ).
cnf(s20,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f204]) ).
cnf(s21,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f205]) ).
cnf(s22,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f206]) ).
cnf(s23,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f207]) ).
cnf(s24,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f208]) ).
cnf(s25,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f209]) ).
cnf(s26,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f210]) ).
cnf(s27,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f215]) ).
cnf(s28,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f216]) ).
cnf(s29,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f217]) ).
cnf(s30,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f218]) ).
cnf(s31,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f219]) ).
cnf(s32,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f220]) ).
cnf(s33,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f221]) ).
cnf(s34,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f222]) ).
cnf(s35,plain,
( spl0_7
| spl0_19 ),
inference(sat_conversion,[],[f227]) ).
cnf(s36,plain,
( spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f228]) ).
cnf(s37,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f229]) ).
cnf(s38,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f230]) ).
cnf(s39,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f231]) ).
cnf(s40,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f232]) ).
cnf(s41,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f233]) ).
cnf(s42,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f234]) ).
cnf(s43,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f235]) ).
cnf(s44,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f236]) ).
cnf(s45,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f237]) ).
cnf(s46,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f238]) ).
cnf(s47,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f239]) ).
cnf(s48,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f240]) ).
cnf(s49,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f241]) ).
cnf(s51,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f243]) ).
cnf(s52,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f244]) ).
cnf(s53,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f245]) ).
cnf(s54,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f246]) ).
cnf(s55,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f247]) ).
cnf(s56,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f248]) ).
cnf(s57,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f249]) ).
cnf(s59,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f495]) ).
cnf(s60,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f501]) ).
cnf(s66,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f533]) ).
cnf(s71,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f576]) ).
cnf(s72,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f578]) ).
cnf(s75,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f608]) ).
cnf(s77,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f614]) ).
cnf(s81,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f679]) ).
cnf(s85,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f698]) ).
cnf(s88,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| spl0_21 ),
inference(sat_conversion,[],[f901]) ).
cnf(s90,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f951]) ).
cnf(s97,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f998]) ).
cnf(s98,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s100,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f1004]) ).
cnf(s112,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s120,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s121,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s122,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s123,plain,
spl0_5,
inference(rat,[],[s59,s43,s44,s45,s46,s47,s48,s49]) ).
cnf(s124,plain,
spl0_6,
inference(rat,[],[s60,s51,s52,s53,s54,s55,s56,s57]) ).
cnf(s126,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s90,s32,s40]) ).
cnf(s127,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s90,s31,s39]) ).
cnf(s128,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s90,s30,s38]) ).
cnf(s129,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s90,s29,s37]) ).
cnf(s130,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s90,s28,s36]) ).
cnf(s131,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13
| ~ spl0_11 ),
inference(rat,[],[s90,s27,s35,s66]) ).
cnf(s132,plain,
~ spl0_4,
inference(rat,[],[s131,s130,s129,s128,s127,s126]) ).
cnf(s134,plain,
( spl0_14
| spl0_21 ),
inference(rat,[],[s88,s9,s17,s25]) ).
cnf(s135,plain,
( spl0_21
| ~ spl0_3 ),
inference(rat,[],[s88,s10,s18,s26,s81,s134]) ).
cnf(s136,plain,
( spl0_19
| ~ spl0_3 ),
inference(rat,[],[s81,s41,s42]) ).
cnf(s137,plain,
( ~ spl0_21
| ~ spl0_3 ),
inference(rat,[],[s81,s33,s34,s121,s136,s85,s124,s123]) ).
cnf(s138,plain,
~ spl0_3,
inference(rat,[],[s137,s135]) ).
cnf(s139,plain,
( spl0_14
| ~ spl0_11
| ~ spl0_19
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s112,s134,s9,s17,s25,s123,s124]) ).
cnf(s140,plain,
( spl0_13
| ~ spl0_11
| ~ spl0_19
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s112,s88,s8,s16,s24,s123,s124]) ).
cnf(s141,plain,
( spl0_12
| ~ spl0_11
| ~ spl0_19
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s112,s88,s7,s15,s23,s123,s124]) ).
cnf(s142,plain,
( spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s112,s88,s5,s13,s21,s123,s124]) ).
cnf(s143,plain,
( spl0_9
| ~ spl0_11
| ~ spl0_19
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s112,s88,s4,s12,s20,s123,s124]) ).
cnf(s144,plain,
( ~ spl0_11
| ~ spl0_19
| ~ spl0_2
| ~ spl0_18 ),
inference(rat,[],[s112,s88,s3,s11,s19,s77,s143,s142,s141,s140,s139,s124,s123]) ).
cnf(s145,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s120,s88,s6,s14,s22,s144,s124,s123]) ).
cnf(s146,plain,
( spl0_19
| ~ spl0_2 ),
inference(rat,[],[s75,s35,s36,s37,s38,s39,s40,s41,s42]) ).
cnf(s147,plain,
( ~ spl0_19
| ~ spl0_2 ),
inference(rat,[],[s75,s27,s28,s29,s30,s31,s32,s33,s34,s145]) ).
cnf(s148,plain,
~ spl0_2,
inference(rat,[],[s147,s146]) ).
cnf(s149,plain,
spl0_1,
inference(rat,[],[s2,s123,s132,s124,s138,s148]) ).
cnf(s150,plain,
( spl0_13
| ~ spl0_11
| ~ spl0_19
| ~ spl0_18 ),
inference(rat,[],[s98,s88,s8,s16,s24,s123,s124,s149]) ).
cnf(s151,plain,
( spl0_12
| ~ spl0_11
| ~ spl0_19
| ~ spl0_18 ),
inference(rat,[],[s98,s88,s7,s15,s23,s123,s124,s149]) ).
cnf(s152,plain,
( spl0_10
| spl0_21 ),
inference(rat,[],[s88,s5,s13,s21]) ).
cnf(s153,plain,
( spl0_9
| spl0_21 ),
inference(rat,[],[s88,s4,s12,s20]) ).
cnf(s154,plain,
( ~ spl0_11
| ~ spl0_19
| ~ spl0_18 ),
inference(rat,[],[s88,s3,s11,s19,s72,s153,s152,s97,s151,s150,s123,s149]) ).
cnf(s155,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_21
| ~ spl0_19
| ~ spl0_18 ),
inference(rat,[],[s100,s122,s149,s123,s124]) ).
cnf(s156,plain,
( ~ spl0_19
| ~ spl0_18 ),
inference(rat,[],[s155,s88,s6,s14,s22,s154]) ).
cnf(s157,plain,
spl0_19,
inference(rat,[],[s71,s35,s36,s37,s38,s39,s40,s41,s42,s149]) ).
cnf(s158,plain,
~ spl0_18,
inference(rat,[],[s156,s157]) ).
cnf(s159,plain,
spl0_15,
inference(rat,[],[s34,s158]) ).
cnf(s160,plain,
spl0_14,
inference(rat,[],[s33,s158]) ).
cnf(s161,plain,
spl0_13,
inference(rat,[],[s32,s158]) ).
cnf(s162,plain,
spl0_12,
inference(rat,[],[s31,s158]) ).
cnf(s163,plain,
spl0_11,
inference(rat,[],[s30,s158]) ).
cnf(s164,plain,
spl0_10,
inference(rat,[],[s29,s158]) ).
cnf(s165,plain,
spl0_9,
inference(rat,[],[s28,s158]) ).
cnf(s166,plain,
spl0_7,
inference(rat,[],[s27,s158]) ).
cnf(s167,plain,
$false,
inference(rat,[],[s71,s162,s164,s163,s160,s166,s149,s161,s165,s159]) ).
fof(f1157,plain,
$false,
inference(avatar_sat_refutation,[],[s167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP240-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 09:44:31 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.47 % (3307005)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (3307014)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2058359176:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (3307011)% WARNING: option uhcvi not known.
% 0.15/0.47 % (3307010)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3029831948_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (3307012)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1285783775:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (3307011)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1940014954:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (3307015)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1656543990:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (3307013)dis+10_1_sil=32000:sp=arity:random_seed=1947758404:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (3307016)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2317582592:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (3307014) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3307005-3307014"...
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % (3307014)...printing done.
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % (3307014)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (3307014)------------------------------
% 0.15/0.47 % (3307014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (3307014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (3307014)CaDiCaL version: 2.1.3
% 0.15/0.47 % (3307014)Termination reason: Refutation
% 0.15/0.47 % (3307014)Time elapsed: 0.013 s
% 0.15/0.47 % (3307014)Peak memory usage: 12 MB
% 0.15/0.47 % (3307014)Instructions burned: 36 (million)
% 0.15/0.47 % (3307005)Success in time 0.053 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------