%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP282-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 10:13:32 AM UTC 2026
% Result : Unsatisfiable 2.38s 1.33s
% Output : Refutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 69
% Syntax : Number of formulae : 458 ( 22 unt; 18 def)
% Number of atoms : 1873 ( 445 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 2691 (1276 ~;1397 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f5]) ).
fof(f9,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c9) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = inverse(sk_c9) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = inverse(sk_c9) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c9 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = inverse(sk_c9) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = inverse(sk_c9) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c4,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f80,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f82,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f86,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f88,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = inverse(sk_c9) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f92,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f94,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f96,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f98,plain,
( sk_c9 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f100,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c9,sk_c8) != sk_c7
| multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| multiply(sk_c9,X1) != sk_c8
| multiply(X2,sk_c9) != X1
| inverse(X2) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| inverse(sk_c9) != sk_c7
| inverse(X3) != sk_c9
| multiply(X3,sk_c7) != sk_c9
| multiply(X4,X5) != sk_c7
| inverse(X4) != X5
| multiply(X5,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c8 != multiply(sk_c9,X1)
| multiply(X2,sk_c9) != X1
| sk_c9 != inverse(X2)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c7 != inverse(sk_c9)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c7)
| sk_c7 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c7 != multiply(X5,sk_c9) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,plain,
! [X2,X3,X0,X4,X5] :
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c7 != inverse(sk_c9)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c7)
| sk_c7 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c7 != multiply(X5,sk_c9) ),
inference(equality_resolution,[],[f102]) ).
fof(f104,plain,
! [X2,X3,X0,X4] :
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c7 != inverse(sk_c9)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c7)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c9) ),
inference(equality_resolution,[],[f103]) ).
fof(f106,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f107,plain,
( ! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c9) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f110,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,definition,
( spl0_3
<=> sk_c7 = inverse(sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f113,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( sk_c7 != inverse(sk_c9)
| spl0_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f116,definition,
( spl0_4
<=> sk_c9 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f117,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
( sk_c9 != multiply(sk_c8,sk_c7)
| spl0_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f120,definition,
( spl0_5
<=> sk_c7 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f121,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
( sk_c7 != multiply(sk_c8,sk_c9)
| spl0_5 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f124,definition,
( spl0_6
<=> ! [X2] :
( sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f125,plain,
( ! [X2] :
( sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,definition,
( spl0_7
<=> ! [X0] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f128,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,definition,
( spl0_8
<=> multiply(sk_c9,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f131,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| spl0_8 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f104,f130,f127,f124,f120,f116,f112,f109,f106]) ).
fof(f135,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f137,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl0_10
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f141,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f100,f139,f135]) ).
fof(f144,definition,
( spl0_11
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f146,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
( spl0_11
| spl0_10 ),
inference(avatar_split_clause,[],[f98,f139,f144]) ).
fof(f149,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f151,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f96,f139,f149]) ).
fof(f154,definition,
( spl0_13
<=> sk_c9 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f155,plain,
( sk_c9 != multiply(sk_c4,sk_c7)
| spl0_13 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( sk_c9 = multiply(sk_c4,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,plain,
( spl0_13
| spl0_10 ),
inference(avatar_split_clause,[],[f94,f139,f154]) ).
fof(f159,definition,
( spl0_14
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f161,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl0_14
| spl0_10 ),
inference(avatar_split_clause,[],[f92,f139,f159]) ).
fof(f163,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f90,f139,f112]) ).
fof(f164,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f88,f139,f116]) ).
fof(f165,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f86,f139,f120]) ).
fof(f167,definition,
( spl0_15
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f169,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f84,f167,f135]) ).
fof(f171,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f82,f167,f144]) ).
fof(f172,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f80,f167,f149]) ).
fof(f173,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f78,f167,f154]) ).
fof(f174,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f76,f167,f159]) ).
fof(f175,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f74,f167,f112]) ).
fof(f176,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f72,f167,f116]) ).
fof(f177,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f70,f167,f120]) ).
fof(f179,definition,
( spl0_16
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f181,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f68,f179,f135]) ).
fof(f183,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f66,f179,f144]) ).
fof(f184,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f64,f179,f149]) ).
fof(f185,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f62,f179,f154]) ).
fof(f186,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f60,f179,f159]) ).
fof(f187,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f58,f179,f112]) ).
fof(f188,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f56,f179,f116]) ).
fof(f189,plain,
( spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f54,f179,f120]) ).
fof(f191,definition,
( spl0_17
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f193,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f52,f191,f135]) ).
fof(f195,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f50,f191,f144]) ).
fof(f196,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f48,f191,f149]) ).
fof(f197,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f46,f191,f154]) ).
fof(f198,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f44,f191,f159]) ).
fof(f199,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f42,f191,f112]) ).
fof(f200,plain,
( spl0_4
| spl0_17 ),
inference(avatar_split_clause,[],[f40,f191,f116]) ).
fof(f201,plain,
( spl0_5
| spl0_17 ),
inference(avatar_split_clause,[],[f38,f191,f120]) ).
fof(f203,definition,
( spl0_18
<=> sk_c8 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f205,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f36,f203,f135]) ).
fof(f207,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f34,f203,f144]) ).
fof(f208,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f32,f203,f149]) ).
fof(f209,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f30,f203,f154]) ).
fof(f210,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f28,f203,f159]) ).
fof(f211,plain,
( spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f26,f203,f112]) ).
fof(f212,plain,
( spl0_4
| spl0_18 ),
inference(avatar_split_clause,[],[f24,f203,f116]) ).
fof(f213,plain,
( spl0_5
| spl0_18 ),
inference(avatar_split_clause,[],[f22,f203,f120]) ).
fof(f214,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f20,f130,f135]) ).
fof(f215,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f18,f130,f144]) ).
fof(f216,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f16,f130,f149]) ).
fof(f217,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f14,f130,f154]) ).
fof(f218,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f12,f130,f159]) ).
fof(f219,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f130,f112]) ).
fof(f221,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f6,f130,f120]) ).
fof(f222,plain,
( identity = multiply(sk_c7,sk_c9)
| ~ spl0_3 ),
inference(superposition,[],[f3,f113]) ).
fof(f223,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_11 ),
inference(superposition,[],[f3,f146]) ).
fof(f224,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f3,f161]) ).
fof(f227,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f228,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c9,X0)
| ~ spl0_4 ),
inference(superposition,[],[f4,f117]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f121]) ).
fof(f231,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f151]) ).
fof(f232,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f137]) ).
fof(f233,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f227,f1]) ).
fof(f236,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f222]) ).
fof(f237,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c9,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f236,f1]) ).
fof(f238,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f223]) ).
fof(f239,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f238,f1]) ).
fof(f240,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f224]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f240,f1]) ).
fof(f246,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f237,f224]) ).
fof(f263,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f239,f151]) ).
fof(f266,plain,
( multiply(sk_c7,sk_c9) = multiply(sk_c5,sk_c7)
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f231,f137]) ).
fof(f272,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f266,f222]) ).
fof(f274,plain,
( sk_c7 = multiply(sk_c6,identity)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f239,f272]) ).
fof(f293,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl0_14 ),
inference(superposition,[],[f233,f224]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c8),multiply(sk_c9,X0))
| ~ spl0_4 ),
inference(superposition,[],[f233,f228]) ).
fof(f301,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_13 ),
inference(superposition,[],[f233,f156]) ).
fof(f309,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f233,f263]) ).
fof(f310,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl0_11 ),
inference(superposition,[],[f233,f223]) ).
fof(f313,plain,
( identity = sk_c7
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f309,f3]) ).
fof(f318,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f301,f161]) ).
fof(f323,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c9)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f229,f318]) ).
fof(f328,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f323,f222]) ).
fof(f330,plain,
( identity = sk_c9
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f328,f117]) ).
fof(f331,plain,
( sk_c9 = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f330,f313]) ).
fof(f343,plain,
( sk_c4 = multiply(sk_c9,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f246,f331]) ).
fof(f344,plain,
( sk_c6 = multiply(sk_c6,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f263,f331]) ).
fof(f347,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f344,f137]) ).
fof(f348,plain,
( sk_c4 = multiply(sk_c9,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f343,f313]) ).
fof(f351,plain,
( sk_c9 = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f347,f331]) ).
fof(f352,plain,
( sk_c4 = multiply(sk_c9,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f348,f331]) ).
fof(f353,plain,
( sk_c7 = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f352,f318]) ).
fof(f354,plain,
( sk_c9 = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f353,f331]) ).
fof(f381,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f310,f313]) ).
fof(f382,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f381,f331]) ).
fof(f383,plain,
( sk_c5 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f382,f351]) ).
fof(f384,plain,
( identity = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f383,f3]) ).
fof(f385,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f384,f313]) ).
fof(f386,plain,
( sk_c9 = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f385,f331]) ).
fof(f410,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f241,f354]) ).
fof(f414,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f274,f313]) ).
fof(f415,plain,
( sk_c9 = multiply(sk_c6,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f414,f331]) ).
fof(f416,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f415,f351]) ).
fof(f459,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f232,f410]) ).
fof(f467,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f459,f237]) ).
fof(f470,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f467,f351]) ).
fof(f496,plain,
( sk_c8 != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f132,f470]) ).
fof(f502,plain,
( sk_c9 != sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f496,f331]) ).
fof(f513,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f296,f470]) ).
fof(f514,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f513,f331]) ).
fof(f515,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f514,f470]) ).
fof(f518,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f515,f3]) ).
fof(f526,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f518,f313]) ).
fof(f528,plain,
( sk_c9 = sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f526,f331]) ).
fof(f531,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f528,f502]) ).
fof(f532,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f533,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f125,f470]) ).
fof(f534,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f131,f331]) ).
fof(f535,plain,
( spl0_7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f533,f159,f154,f149,f144,f135,f124,f120,f116,f112,f127]) ).
fof(f536,plain,
( sk_c9 = sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f534,f470]) ).
fof(f555,plain,
( ! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c9) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f128,f536]) ).
fof(f558,plain,
( sk_c9 != sk_c6
| sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f555,f146]) ).
fof(f563,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f558,f351]) ).
fof(f569,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f563,f386]) ).
fof(f572,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f569,f416]) ).
fof(f573,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f574,plain,
( ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c9) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f107,f331]) ).
fof(f575,plain,
( ! [X4] :
( sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f574,f331]) ).
fof(f577,plain,
( sk_c9 != multiply(sk_c7,sk_c9)
| sk_c9 != multiply(sk_c9,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f575,f113]) ).
fof(f593,plain,
( identity != sk_c9
| sk_c9 != multiply(sk_c9,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f577,f222]) ).
fof(f602,plain,
( sk_c9 != multiply(sk_c9,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f593,f330]) ).
fof(f613,plain,
( sk_c9 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f602,f470]) ).
fof(f618,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f613,f331]) ).
fof(f619,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f620,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c9) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f110,f331]) ).
fof(f626,plain,
( sk_c9 != sk_c6
| sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f620,f146]) ).
fof(f631,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f626,f351]) ).
fof(f637,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f631,f386]) ).
fof(f640,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f637,f416]) ).
fof(f641,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f642,plain,
( sk_c4 = multiply(inverse(sk_c9),sk_c7)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f293,f313]) ).
fof(f647,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f3,f141]) ).
fof(f658,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_15 ),
inference(superposition,[],[f233,f169]) ).
fof(f660,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f658,f141]) ).
fof(f665,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_18 ),
inference(superposition,[],[f233,f205]) ).
fof(f666,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl0_18 ),
inference(superposition,[],[f4,f205]) ).
fof(f667,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f665,f193]) ).
fof(f760,plain,
( sk_c9 = sk_c8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f660,f181]) ).
fof(f776,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f131,f760]) ).
fof(f783,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f667,f760]) ).
fof(f812,plain,
( multiply(sk_c8,sk_c9) = multiply(sk_c1,sk_c9)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f666,f783]) ).
fof(f816,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f233,f783]) ).
fof(f818,plain,
( identity = sk_c9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f816,f3]) ).
fof(f822,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f812,f205]) ).
fof(f824,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f822,f121]) ).
fof(f826,plain,
( sk_c9 = sk_c7
| ~ spl0_5
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f824,f760]) ).
fof(f927,plain,
( sk_c9 = sk_c7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f776,f783]) ).
fof(f956,plain,
( sk_c4 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f642,f826]) ).
fof(f957,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f956,f3]) ).
fof(f958,plain,
( sk_c7 = sk_c4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f957,f313]) ).
fof(f959,plain,
( sk_c9 = sk_c4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f958,f826]) ).
fof(f960,plain,
( sk_c9 != multiply(sk_c9,sk_c7)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f155,f959]) ).
fof(f968,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f960,f826]) ).
fof(f970,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f968,f783]) ).
fof(f971,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f1057,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f647,f818]) ).
fof(f1075,plain,
( sk_c2 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f233,f1057]) ).
fof(f1077,plain,
( identity = sk_c2
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1075,f3]) ).
fof(f1082,plain,
( sk_c9 = sk_c2
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1077,f818]) ).
fof(f1091,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f141,f1082]) ).
fof(f1127,plain,
( sk_c9 != sk_c7
| spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f114,f1091]) ).
fof(f1131,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1127,f826]) ).
fof(f1132,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1131]) ).
fof(f1133,plain,
( sk_c9 = sk_c7
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f113,f1091]) ).
fof(f1135,plain,
( ! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c9) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f128,f760]) ).
fof(f1138,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1135,f193]) ).
fof(f1141,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1138]) ).
fof(f1144,plain,
( sk_c9 != sk_c8
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1141,f205]) ).
fof(f1149,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1144,f760]) ).
fof(f1150,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1151,plain,
( sk_c7 != multiply(sk_c9,sk_c9)
| spl0_5
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f122,f760]) ).
fof(f1160,plain,
( sk_c9 != sk_c7
| spl0_5
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1151,f783]) ).
fof(f1180,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c9 != multiply(sk_c9,multiply(X2,sk_c9)) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f125,f760]) ).
fof(f1185,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c1,sk_c9))
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1180,f193]) ).
fof(f1186,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f1180,f141]) ).
fof(f1187,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1186]) ).
fof(f1188,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c1,sk_c9))
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1185]) ).
fof(f1190,plain,
( sk_c9 != multiply(sk_c9,sk_c3)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1187,f169]) ).
fof(f1191,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1188,f205]) ).
fof(f1193,plain,
( $false
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1190,f660]) ).
fof(f1194,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1193]) ).
fof(f1195,plain,
( sk_c9 != sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1191,f131]) ).
fof(f1198,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1195,f1133]) ).
fof(f1199,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1198]) ).
fof(f1200,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c9) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f110,f1133]) ).
fof(f1202,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f1200,f193]) ).
fof(f1205,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1202]) ).
fof(f1208,plain,
( sk_c9 != sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1205,f205]) ).
fof(f1213,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1208,f760]) ).
fof(f1214,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1215,plain,
( ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c9) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f107,f1133]) ).
fof(f1216,plain,
( ! [X4] :
( sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1215,f1133]) ).
fof(f1218,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f1216,f193]) ).
fof(f1226,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1218,f783]) ).
fof(f1232,plain,
( sk_c9 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1226,f205]) ).
fof(f1238,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1232,f760]) ).
fof(f1239,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1238]) ).
fof(f1246,plain,
( $false
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f927,f1160]) ).
fof(f1247,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1249,plain,
( sk_c9 != multiply(sk_c9,sk_c7)
| spl0_4
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f118,f760]) ).
fof(f1256,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_3
| spl0_4
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1249,f1133]) ).
fof(f1257,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1256,f783]) ).
fof(f1258,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f133]) ).
cnf(s2,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f142]) ).
cnf(s3,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f147]) ).
cnf(s4,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f152]) ).
cnf(s5,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f157]) ).
cnf(s6,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f162]) ).
cnf(s7,plain,
( spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f163]) ).
cnf(s8,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f164]) ).
cnf(s9,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f165]) ).
cnf(s10,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f170]) ).
cnf(s11,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f171]) ).
cnf(s12,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f172]) ).
cnf(s13,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f173]) ).
cnf(s14,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f174]) ).
cnf(s15,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f175]) ).
cnf(s16,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f176]) ).
cnf(s17,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f177]) ).
cnf(s18,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f182]) ).
cnf(s19,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f183]) ).
cnf(s20,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f184]) ).
cnf(s21,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f185]) ).
cnf(s22,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f186]) ).
cnf(s23,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f187]) ).
cnf(s24,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f188]) ).
cnf(s25,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f189]) ).
cnf(s26,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f194]) ).
cnf(s27,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f195]) ).
cnf(s28,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f196]) ).
cnf(s29,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f197]) ).
cnf(s30,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f198]) ).
cnf(s31,plain,
( spl0_3
| spl0_17 ),
inference(sat_conversion,[],[f199]) ).
cnf(s32,plain,
( spl0_4
| spl0_17 ),
inference(sat_conversion,[],[f200]) ).
cnf(s33,plain,
( spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f201]) ).
cnf(s34,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f206]) ).
cnf(s35,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f207]) ).
cnf(s36,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f208]) ).
cnf(s37,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f209]) ).
cnf(s38,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f210]) ).
cnf(s39,plain,
( spl0_3
| spl0_18 ),
inference(sat_conversion,[],[f211]) ).
cnf(s40,plain,
( spl0_4
| spl0_18 ),
inference(sat_conversion,[],[f212]) ).
cnf(s41,plain,
( spl0_5
| spl0_18 ),
inference(sat_conversion,[],[f213]) ).
cnf(s42,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f214]) ).
cnf(s43,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f215]) ).
cnf(s44,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f216]) ).
cnf(s45,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f217]) ).
cnf(s46,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f218]) ).
cnf(s47,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f219]) ).
cnf(s49,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f221]) ).
cnf(s51,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f532]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f535]) ).
cnf(s56,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f573]) ).
cnf(s64,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f619]) ).
cnf(s68,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f641]) ).
cnf(s70,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f971]) ).
cnf(s72,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s75,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s77,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f1194]) ).
cnf(s79,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s82,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1214]) ).
cnf(s86,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1239]) ).
cnf(s88,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1247]) ).
cnf(s89,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s90,plain,
spl0_3,
inference(rat,[],[s72,s88,s7,s15,s23,s31,s39,s47]) ).
cnf(s91,plain,
spl0_4,
inference(rat,[],[s89,s8,s16,s24,s32,s40,s90]) ).
cnf(s92,plain,
( spl0_8
| ~ spl0_5 ),
inference(rat,[],[s51,s42,s43,s44,s45,s46,s90,s91]) ).
cnf(s93,plain,
( spl0_14
| ~ spl0_7 ),
inference(rat,[],[s75,s6,s14,s22,s30,s38]) ).
cnf(s94,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_5
| ~ spl0_14
| ~ spl0_8
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s70,s5,s13,s21,s29,s37,s56,s91,s90]) ).
cnf(s95,plain,
( spl0_12
| ~ spl0_7 ),
inference(rat,[],[s75,s4,s12,s20,s28,s36]) ).
cnf(s96,plain,
( spl0_11
| ~ spl0_7 ),
inference(rat,[],[s75,s3,s11,s19,s27,s35]) ).
cnf(s97,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_5
| ~ spl0_14
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s75,s2,s10,s18,s26,s34,s94]) ).
cnf(s98,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s97,s96,s95,s93,s92]) ).
cnf(s99,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_8 ),
inference(rat,[],[s79,s6,s14,s22,s30,s38,s90]) ).
cnf(s100,plain,
( spl0_16
| ~ spl0_12
| ~ spl0_11
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s52,s18,s21,s98,s99,s92,s90,s91]) ).
cnf(s101,plain,
( spl0_15
| ~ spl0_12
| ~ spl0_11
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s52,s10,s13,s98,s99,s92,s90,s91]) ).
cnf(s102,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s52,s2,s5,s77,s101,s100,s98,s99,s92,s90,s91]) ).
cnf(s103,plain,
( spl0_12
| ~ spl0_6
| ~ spl0_8 ),
inference(rat,[],[s79,s4,s12,s20,s28,s36,s90]) ).
cnf(s104,plain,
( spl0_7
| ~ spl0_8
| spl0_1
| spl0_2
| ~ spl0_5 ),
inference(rat,[],[s79,s3,s11,s19,s27,s35,s102,s103,s1,s91,s90]) ).
cnf(s106,plain,
spl0_5,
inference(rat,[],[s88,s9,s17,s25,s33,s41,s49]) ).
cnf(s107,plain,
spl0_8,
inference(rat,[],[s92,s106]) ).
cnf(s108,plain,
~ spl0_7,
inference(rat,[],[s98,s106]) ).
cnf(s111,plain,
( spl0_16
| ~ spl0_12
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s68,s18,s21,s22,s90,s91,s106]) ).
cnf(s112,plain,
( spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_10
| ~ spl0_16
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s70,s29,s37,s106]) ).
cnf(s113,plain,
( spl0_9
| ~ spl0_15
| ~ spl0_10
| ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s82,s26,s34,s90]) ).
cnf(s114,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_10
| ~ spl0_12
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s68,s112,s113,s111,s90,s91,s106]) ).
cnf(s115,plain,
( ~ spl0_15
| ~ spl0_10
| ~ spl0_12
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s82,s30,s38,s114,s111,s90]) ).
cnf(s116,plain,
( spl0_15
| ~ spl0_12
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s68,s10,s13,s14,s90,s91,s106]) ).
cnf(s117,plain,
( ~ spl0_15
| ~ spl0_12
| ~ spl0_2
| ~ spl0_11 ),
inference(rat,[],[s68,s2,s5,s6,s115,s106,s91,s90]) ).
cnf(s118,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s117,s116]) ).
cnf(s119,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s82,s4,s12,s20,s28,s36,s90]) ).
cnf(s120,plain,
( ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s82,s3,s11,s19,s27,s35,s118,s90]) ).
cnf(s121,plain,
~ spl0_2,
inference(rat,[],[s120,s119]) ).
cnf(s122,plain,
spl0_1,
inference(rat,[],[s104,s106,s121,s107,s108]) ).
cnf(s123,plain,
( spl0_9
| ~ spl0_16
| ~ spl0_10
| ~ spl0_15 ),
inference(rat,[],[s86,s26,s34,s90,s122]) ).
cnf(s124,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_10
| ~ spl0_15
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s64,s112,s123,s90,s91,s106,s122]) ).
cnf(s125,plain,
( ~ spl0_16
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_12 ),
inference(rat,[],[s86,s30,s38,s124,s122,s90]) ).
cnf(s126,plain,
( spl0_16
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s64,s18,s21,s22,s90,s91,s106,s122]) ).
cnf(s127,plain,
( spl0_10
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s64,s2,s5,s6,s90,s91,s106,s122]) ).
cnf(s128,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_11
| ~ spl0_16 ),
inference(rat,[],[s64,s10,s13,s14,s125,s122,s106,s91,s90]) ).
cnf(s129,plain,
( ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s128,s127,s126]) ).
cnf(s130,plain,
spl0_12,
inference(rat,[],[s86,s4,s12,s20,s28,s36,s90,s122]) ).
cnf(s131,plain,
~ spl0_11,
inference(rat,[],[s129,s130]) ).
cnf(s132,plain,
spl0_18,
inference(rat,[],[s35,s131]) ).
cnf(s133,plain,
spl0_17,
inference(rat,[],[s27,s131]) ).
cnf(s134,plain,
spl0_16,
inference(rat,[],[s19,s131]) ).
cnf(s135,plain,
spl0_15,
inference(rat,[],[s11,s131]) ).
cnf(s136,plain,
spl0_10,
inference(rat,[],[s3,s131]) ).
cnf(s137,plain,
$false,
inference(rat,[],[s86,s136,s135,s122,s90,s134,s132,s133]) ).
fof(f1259,plain,
$false,
inference(avatar_sat_refutation,[],[s137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP282-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:43:10 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.38/1.33 % (1165238)Input is clausal, will run a generic CNF schedule.
% 2.38/1.33 % (1165247)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4040766911:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.38/1.33 % (1165248)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4053089338:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.38/1.33 % (1165243)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1460750468:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.38/1.33 % (1165249)dis-21_1_sil=8000:lcm=predicate:random_seed=2198318178:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.38/1.33 % (1165245)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1163356236:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.38/1.33 % (1165244)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2790008770:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.38/1.33 % (1165246)lrs+10_1_sil=8000:sp=occurrence:random_seed=913609766:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.38/1.33 % (1165249)Refutation not found, incomplete strategy
% 2.38/1.33 % (1165249)------------------------------
% 2.38/1.33 % (1165249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.38/1.33 % (1165249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.33 % (1165249)CaDiCaL version: 2.1.3
% 2.38/1.33 % (1165249)Termination reason: Refutation not found, incomplete strategy
% 2.38/1.33 % (1165249)Time elapsed: 0.002 s
% 2.38/1.33 % (1165249)Peak memory usage: 88 MB
% 2.38/1.33 % (1165249)Instructions burned: 2 (million)
% 2.38/1.33 % (1165246)Refutation not found, incomplete strategy
% 2.38/1.33 % (1165246)------------------------------
% 2.38/1.33 % (1165246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.38/1.33 % (1165246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.33 % (1165246)CaDiCaL version: 2.1.3
% 2.38/1.33 % (1165246)Termination reason: Refutation not found, incomplete strategy
% 2.38/1.33 % (1165246)Time elapsed: 0.003 s
% 2.38/1.33 % (1165246)Peak memory usage: 88 MB
% 2.38/1.33 % (1165246)Instructions burned: 5 (million)
% 2.38/1.33 % (1165247)Instruction limit reached!
% 2.38/1.33 % (1165247)------------------------------
% 2.38/1.33 % (1165247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.38/1.33 % (1165247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.33 % (1165247)CaDiCaL version: 2.1.3
% 2.38/1.33 % (1165247)Termination reason: Instruction limit
% 2.38/1.33 % (1165247)Termination phase: Saturation
% 2.38/1.33 % (1165247)Time elapsed: 0.034 s
% 2.38/1.33 % (1165247)Peak memory usage: 89 MB
% 2.38/1.33 % (1165247)Instructions burned: 115 (million)
% 2.38/1.33 % (1165248)First to succeed.
% 2.38/1.33 % (1165248)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1165238"
% 2.38/1.33 % (1165257)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1734837286:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.38/1.33 % (1165257)Refutation not found, incomplete strategy
% 2.38/1.33 % (1165257)------------------------------
% 2.38/1.33 % (1165257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.38/1.33 % (1165257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/1.33 % (1165257)CaDiCaL version: 2.1.3
% 2.38/1.33 % (1165257)Termination reason: Refutation not found, incomplete strategy
% 2.38/1.33 % (1165257)Time elapsed: 0.002 s
% 2.38/1.33 % (1165257)Peak memory usage: 88 MB
% 2.38/1.33 % (1165257)Instructions burned: 5 (million)
% 2.38/1.33 % (1165246)------------------------------
% 2.38/1.33 % (1165246)------------------------------
% 2.38/1.33 % (1165249)------------------------------
% 2.38/1.33 % (1165249)------------------------------
% 2.38/1.33 % (1165248)Refutation found. Thanks to Tanya!
% 2.38/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.38/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.53 % (1165248)------------------------------
% 3.85/1.53 % (1165248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.53 % (1165248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.53 % (1165248)CaDiCaL version: 2.1.3
% 3.85/1.53 % (1165248)Termination reason: Refutation
% 3.85/1.53 % (1165248)Time elapsed: 0.026 s
% 3.85/1.53 % (1165248)Peak memory usage: 89 MB
% 3.85/1.53 % (1165248)Instructions burned: 42 (million)
% 3.85/1.53 % (1165248)------------------------------
% 3.85/1.53 % (1165248)------------------------------
% 3.85/1.53 % (1165238)Success in time 0.451 s
% 3.85/1.53 % Vampire exiting
%------------------------------------------------------------------------------