%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP378-1 : 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 : n011.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 10:17:38 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 73
% Syntax : Number of formulae : 486 ( 30 unt; 22 def)
% Number of atoms : 1725 ( 516 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2347 (1108 ~;1217 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 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(f5,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f12,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f20,plain,
( inverse(sk_c11) = sk_c10
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f22,plain,
( inverse(sk_c11) = sk_c10
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f36,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f38,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f40,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f56,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f58,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f60,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f62,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( sk_c2 = inverse(sk_c1)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f76,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f78,plain,
( sk_c2 = inverse(sk_c1)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f80,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f82,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f87]) ).
fof(f91,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f96,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f98,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f100,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f102,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| multiply(sk_c11,sk_c9) != sk_c10
| multiply(X0,X1) != sk_c11
| inverse(X0) != X1
| multiply(X1,sk_c10) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(X4,X5) != sk_c11
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c11
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(sk_c11,sk_c9)
| multiply(X0,X1) != sk_c11
| inverse(X0) != X1
| sk_c11 != multiply(X1,sk_c10)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(equality_resolution,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X6,X7,X4] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != X7
| inverse(X4) != inverse(X7)
| multiply(X6,inverse(X4)) != X7 ),
inference(equality_resolution,[],[f105]) ).
fof(f107,plain,
! [X2,X3,X0,X6,X4] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6))
| inverse(X6) != multiply(X6,inverse(X4)) ),
inference(equality_resolution,[],[f106]) ).
fof(f109,definition,
( spl0_1
<=> ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f110,plain,
( ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f113,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f116,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,definition,
( spl0_4
<=> ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f119,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_5
<=> sk_c10 = multiply(sk_c11,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f122,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( sk_c10 != multiply(sk_c11,sk_c9)
| spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_6
<=> inverse(sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f126,plain,
( inverse(sk_c11) = sk_c10
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( inverse(sk_c11) != sk_c10
| spl0_6 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f107,f125,f121,f118,f115,f112,f109]) ).
fof(f130,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f132,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f134,definition,
( spl0_8
<=> sk_c11 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f136,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f102,f134,f130]) ).
fof(f139,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f141,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f100,f134,f139]) ).
fof(f144,definition,
( spl0_10
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f146,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f98,f134,f144]) ).
fof(f149,definition,
( spl0_11
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f151,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f96,f134,f149]) ).
fof(f154,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f156,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f94,f134,f154]) ).
fof(f159,definition,
( spl0_13
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f161,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f92,f134,f159]) ).
fof(f164,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f165,plain,
( sk_c10 != inverse(sk_c4)
| spl0_14 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f166,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f169,definition,
( spl0_15
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f171,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f88,f134,f169]) ).
fof(f174,definition,
( spl0_16
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f176,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f86,f134,f174]) ).
fof(f179,definition,
( spl0_17
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f181,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,plain,
( spl0_17
| spl0_8 ),
inference(avatar_split_clause,[],[f84,f134,f179]) ).
fof(f184,definition,
( spl0_18
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f186,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f187,plain,
( spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f82,f184,f130]) ).
fof(f188,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f80,f184,f139]) ).
fof(f189,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f78,f184,f144]) ).
fof(f190,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f76,f184,f149]) ).
fof(f191,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f74,f184,f154]) ).
fof(f192,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f72,f184,f159]) ).
fof(f193,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f70,f184,f164]) ).
fof(f194,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f68,f184,f169]) ).
fof(f195,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f66,f184,f174]) ).
fof(f196,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f64,f184,f179]) ).
fof(f198,definition,
( spl0_19
<=> sk_c11 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f200,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,plain,
( spl0_7
| spl0_19 ),
inference(avatar_split_clause,[],[f62,f198,f130]) ).
fof(f202,plain,
( spl0_9
| spl0_19 ),
inference(avatar_split_clause,[],[f60,f198,f139]) ).
fof(f203,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f58,f198,f144]) ).
fof(f204,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f56,f198,f149]) ).
fof(f205,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f54,f198,f154]) ).
fof(f206,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f52,f198,f159]) ).
fof(f207,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f50,f198,f164]) ).
fof(f208,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f48,f198,f169]) ).
fof(f209,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f46,f198,f174]) ).
fof(f210,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f44,f198,f179]) ).
fof(f212,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f40,f121,f139]) ).
fof(f213,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f38,f121,f144]) ).
fof(f214,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f36,f121,f149]) ).
fof(f215,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f34,f121,f154]) ).
fof(f216,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f121,f159]) ).
fof(f217,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f30,f121,f164]) ).
fof(f218,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f121,f169]) ).
fof(f219,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f26,f121,f174]) ).
fof(f220,plain,
( spl0_17
| spl0_5 ),
inference(avatar_split_clause,[],[f24,f121,f179]) ).
fof(f221,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f125,f130]) ).
fof(f222,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f125,f139]) ).
fof(f223,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f125,f144]) ).
fof(f224,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f17,f125,f149]) ).
fof(f225,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f125,f154]) ).
fof(f226,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f125,f159]) ).
fof(f228,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f125,f169]) ).
fof(f229,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f125,f174]) ).
fof(f230,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f125,f179]) ).
fof(f231,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f3,f176]) ).
fof(f232,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f3,f166]) ).
fof(f233,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_12 ),
inference(superposition,[],[f3,f156]) ).
fof(f234,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f3,f146]) ).
fof(f235,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f3,f141]) ).
fof(f238,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f239,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_17 ),
inference(superposition,[],[f4,f181]) ).
fof(f240,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl0_15 ),
inference(superposition,[],[f4,f171]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f161]) ).
fof(f244,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f238,f1]) ).
fof(f247,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f231]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f247,f1]) ).
fof(f261,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f248,f181]) ).
fof(f270,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f239,f261]) ).
fof(f272,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f270,f181]) ).
fof(f273,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f241,f151]) ).
fof(f279,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl0_11
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f273,f261]) ).
fof(f289,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f240,f272]) ).
fof(f291,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f289,f171]) ).
fof(f309,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f244,f3]) ).
fof(f310,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f244,f244]) ).
fof(f312,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c11),X0)
| ~ spl0_16 ),
inference(superposition,[],[f244,f248]) ).
fof(f314,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_14 ),
inference(superposition,[],[f244,f232]) ).
fof(f318,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_15 ),
inference(superposition,[],[f244,f171]) ).
fof(f320,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f244,f291]) ).
fof(f321,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_13 ),
inference(superposition,[],[f244,f161]) ).
fof(f323,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_11
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f244,f279]) ).
fof(f326,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_12 ),
inference(superposition,[],[f244,f233]) ).
fof(f327,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_9 ),
inference(superposition,[],[f244,f235]) ).
fof(f328,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f244,f132]) ).
fof(f330,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_10 ),
inference(superposition,[],[f244,f234]) ).
fof(f333,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f330,f141]) ).
fof(f335,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f328,f146]) ).
fof(f336,plain,
( sk_c5 = sk_c6
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f326,f327]) ).
fof(f337,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f323,f156]) ).
fof(f339,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f321,f156]) ).
fof(f340,plain,
( identity = sk_c10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f320,f3]) ).
fof(f342,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f318,f166]) ).
fof(f348,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f309,f310]) ).
fof(f349,plain,
( sk_c11 = sk_c8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f339,f337]) ).
fof(f351,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f348,f340]) ).
fof(f352,plain,
( sk_c11 = multiply(sk_c6,sk_c11)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f279,f336]) ).
fof(f370,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1,f340]) ).
fof(f372,plain,
( multiply(sk_c8,sk_c10) = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f333,f340]) ).
fof(f381,plain,
( sk_c11 = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f372,f151]) ).
fof(f394,plain,
( identity = multiply(sk_c6,sk_c11)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f234,f381]) ).
fof(f396,plain,
( inverse(sk_c11) = sk_c6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f146,f381]) ).
fof(f398,plain,
( identity = sk_c11
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f394,f352]) ).
fof(f400,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f244,f335]) ).
fof(f402,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c11)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f400,f349]) ).
fof(f403,plain,
( sk_c6 = multiply(sk_c8,sk_c11)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f402,f141]) ).
fof(f404,plain,
( sk_c11 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f403,f337]) ).
fof(f408,plain,
( inverse(sk_c11) = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f141,f404]) ).
fof(f409,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f408,f349]) ).
fof(f417,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f244,f342]) ).
fof(f419,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f417,f3]) ).
fof(f422,plain,
( sk_c10 = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f419,f340]) ).
fof(f425,plain,
( sk_c10 != multiply(sk_c11,sk_c10)
| spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f123,f422]) ).
fof(f426,plain,
( sk_c11 != sk_c10
| spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f425,f261]) ).
fof(f440,plain,
( identity = inverse(sk_c10)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f3,f351]) ).
fof(f445,plain,
( sk_c4 = sk_c9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f171,f351]) ).
fof(f455,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f440,f340]) ).
fof(f473,plain,
( sk_c11 = sk_c10
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f398,f340]) ).
fof(f474,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c11)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f314,f398]) ).
fof(f476,plain,
( sk_c11 = sk_c10
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f340,f398]) ).
fof(f481,plain,
( sk_c4 = multiply(sk_c10,sk_c11)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f474,f455]) ).
fof(f482,plain,
( $false
| spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f473,f426]) ).
fof(f483,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f484,plain,
( sk_c11 = sk_c4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f481,f370]) ).
fof(f486,plain,
( sk_c10 != sk_c6
| spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f127,f396]) ).
fof(f487,plain,
( sk_c11 != sk_c10
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f486,f404]) ).
fof(f488,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f487,f476]) ).
fof(f489,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f490,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| inverse(X0) != sk_c11 )
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f119,f351]) ).
fof(f494,plain,
( sk_c11 != multiply(sk_c5,sk_c8)
| sk_c11 != sk_c8
| ~ spl0_4
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f490,f156]) ).
fof(f504,plain,
( sk_c11 != sk_c8
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f494,f161]) ).
fof(f510,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f504,f349]) ).
fof(f511,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f526,plain,
( ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| sk_c11 != inverse(X4)
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f110,f351]) ).
fof(f538,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f351,f476]) ).
fof(f559,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c3,sk_c11)
| sk_c11 != sk_c11
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f526,f176]) ).
fof(f567,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c3,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f559]) ).
fof(f576,plain,
( ! [X0] :
( inverse(X0) != X0
| sk_c11 != multiply(sk_c3,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f567,f538]) ).
fof(f589,plain,
( ! [X0] :
( sk_c11 != sk_c10
| inverse(X0) != X0
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f576,f181]) ).
fof(f602,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != X0 )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f589,f476]) ).
fof(f660,plain,
( sk_c11 != inverse(sk_c8)
| sk_c5 != sk_c8
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f602,f156]) ).
fof(f665,plain,
( sk_c11 != inverse(sk_c11)
| sk_c5 != sk_c8
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f660,f349]) ).
fof(f670,plain,
( sk_c5 != sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f665,f409]) ).
fof(f676,plain,
( sk_c11 != sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f670,f349]) ).
fof(f683,plain,
( sk_c11 != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f676,f336]) ).
fof(f684,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f683,f404]) ).
fof(f685,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f686,plain,
( ! [X3] :
( sk_c9 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f113,f351]) ).
fof(f687,plain,
( ! [X3] :
( sk_c10 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f686,f422]) ).
fof(f688,plain,
( ! [X3] :
( sk_c11 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f687,f476]) ).
fof(f689,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != X3 )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f688,f476]) ).
fof(f703,plain,
( sk_c11 != sk_c10
| sk_c11 != sk_c4
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f689,f166]) ).
fof(f711,plain,
( sk_c11 != sk_c4
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f703,f476]) ).
fof(f719,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f711,f484]) ).
fof(f720,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f799,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_18 ),
inference(superposition,[],[f3,f186]) ).
fof(f880,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl0_6 ),
inference(superposition,[],[f3,f126]) ).
fof(f881,plain,
( identity = sk_c11
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f880,f370]) ).
fof(f884,plain,
( sk_c11 = sk_c10
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f340,f881]) ).
fof(f886,plain,
( sk_c10 != inverse(sk_c9)
| spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f165,f445]) ).
fof(f887,plain,
( sk_c11 != inverse(sk_c9)
| ~ spl0_6
| spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f886,f884]) ).
fof(f903,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl0_5 ),
inference(superposition,[],[f244,f122]) ).
fof(f906,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f903,f312]) ).
fof(f909,plain,
( sk_c3 = sk_c9
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f906,f351]) ).
fof(f911,plain,
( sk_c11 = inverse(sk_c9)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f176,f909]) ).
fof(f921,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f911,f887]) ).
fof(f922,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f939,plain,
( identity != sk_c10
| sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_3 ),
inference(superposition,[],[f116,f3]) ).
fof(f940,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f116,f181]) ).
fof(f941,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f940]) ).
fof(f942,plain,
( $false
| ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f941,f176]) ).
fof(f943,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f942]) ).
fof(f960,definition,
( spl0_20
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f961,plain,
( sk_c11 = sk_c10
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f962,plain,
( sk_c11 != sk_c10
| spl0_20 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f969,definition,
( spl0_22
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f970,plain,
( sk_c10 = sk_c9
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f971,plain,
( sk_c10 != sk_c9
| spl0_22 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f973,definition,
( spl0_23
<=> sk_c11 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f974,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f975,plain,
( sk_c11 != inverse(sk_c10)
| spl0_23 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f978,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f3,f166]) ).
fof(f979,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f978,f419]) ).
fof(f980,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f1,f419]) ).
fof(f982,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f136]) ).
fof(f983,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl0_18 ),
inference(superposition,[],[f244,f799]) ).
fof(f986,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f983,f348]) ).
fof(f988,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_18 ),
inference(superposition,[],[f3,f986]) ).
fof(f989,plain,
( identity = sk_c11
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f988,f200]) ).
fof(f990,plain,
( multiply(sk_c4,identity) = multiply(sk_c9,sk_c11)
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f240,f880]) ).
fof(f992,plain,
( sk_c11 = multiply(inverse(sk_c10),identity)
| ~ spl0_6 ),
inference(superposition,[],[f244,f880]) ).
fof(f995,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f992,f348]) ).
fof(f996,plain,
( sk_c11 = multiply(sk_c4,identity)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f990,f980]) ).
fof(f997,plain,
( $false
| ~ spl0_6
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f995,f975]) ).
fof(f998,plain,
( ~ spl0_6
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f999,plain,
( sk_c11 = sk_c4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f996,f348]) ).
fof(f1003,plain,
( identity = multiply(sk_c11,sk_c10)
| ~ spl0_23 ),
inference(superposition,[],[f3,f974]) ).
fof(f1011,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f244,f979]) ).
fof(f1014,plain,
( sk_c4 = multiply(sk_c11,sk_c9)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1011,f974]) ).
fof(f1016,plain,
( sk_c10 = sk_c4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1014,f122]) ).
fof(f1018,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1016,f999]) ).
fof(f1026,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_20
| ~ spl0_23 ),
inference(superposition,[],[f974,f961]) ).
fof(f1045,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f1,f989]) ).
fof(f1069,plain,
( identity != sk_c11
| sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f939,f961]) ).
fof(f1073,plain,
( identity = sk_c10
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1003,f1045]) ).
fof(f1079,plain,
( sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1069,f989]) ).
fof(f1086,plain,
( sk_c11 != inverse(sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1079,f126]) ).
fof(f1090,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1086,f974]) ).
fof(f1091,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
fof(f1094,plain,
( sk_c11 = sk_c10
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1073,f989]) ).
fof(f1095,plain,
( $false
| ~ spl0_18
| ~ spl0_19
| spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1094,f962]) ).
fof(f1096,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1099,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1018,f973,f169,f164,f125,f121,f960]) ).
fof(f1167,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c2,sk_c10)
| sk_c11 != multiply(sk_c1,sk_c2)
| inverse(X0) != multiply(X0,sk_c2)
| sk_c2 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_18 ),
inference(superposition,[],[f110,f186]) ).
fof(f1173,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c1,sk_c2)
| inverse(X0) != multiply(X0,sk_c2)
| sk_c2 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1167,f136]) ).
fof(f1198,plain,
( ! [X0] :
( sk_c2 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c2) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1173,f200]) ).
fof(f1273,plain,
( multiply(sk_c11,sk_c11) = multiply(sk_c2,identity)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f982,f880]) ).
fof(f1280,plain,
( sk_c2 = multiply(sk_c11,sk_c11)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1273,f348]) ).
fof(f1285,plain,
( sk_c11 = sk_c2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1280,f1045]) ).
fof(f1299,plain,
( sk_c2 != inverse(sk_c10)
| sk_c10 != multiply(sk_c11,sk_c2)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f1198,f126]) ).
fof(f1312,plain,
( sk_c11 != sk_c2
| sk_c10 != multiply(sk_c11,sk_c2)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1299,f974]) ).
fof(f1319,plain,
( sk_c10 != multiply(sk_c11,sk_c2)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1312,f1285]) ).
fof(f1326,plain,
( sk_c10 != sk_c2
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1319,f1045]) ).
fof(f1340,plain,
( sk_c11 != sk_c10
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1326,f1285]) ).
fof(f1344,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1340,f961]) ).
fof(f1345,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1349,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[],[f113,f961]) ).
fof(f1379,plain,
( ! [X0] :
( sk_c11 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f119,f961]) ).
fof(f1393,plain,
( sk_c11 != multiply(sk_c10,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f1379,f126]) ).
fof(f1400,plain,
( identity != sk_c11
| sk_c11 != multiply(sk_c11,inverse(sk_c11))
| ~ spl0_4
| ~ spl0_20 ),
inference(superposition,[],[f1379,f3]) ).
fof(f1416,plain,
( sk_c11 != multiply(sk_c11,inverse(sk_c11))
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1400,f989]) ).
fof(f1423,plain,
( identity != sk_c11
| sk_c11 != multiply(sk_c11,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1393,f880]) ).
fof(f1433,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1416,f1045]) ).
fof(f1442,plain,
( sk_c11 != multiply(sk_c11,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1423,f989]) ).
fof(f1449,plain,
( $false
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1433,f1026]) ).
fof(f1450,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1456,plain,
( sk_c11 != sk_c10
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1442,f1045]) ).
fof(f1463,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1456,f961]) ).
fof(f1464,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1463]) ).
fof(f1466,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1349,f961]) ).
fof(f1469,plain,
( sk_c11 = sk_c9
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f970,f961]) ).
fof(f1488,plain,
( sk_c11 != sk_c9
| sk_c11 != inverse(identity)
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[],[f1466,f1]) ).
fof(f1495,plain,
( sk_c11 != inverse(identity)
| ~ spl0_2
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1488,f1469]) ).
fof(f1498,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1495,f989]) ).
fof(f1502,plain,
( $false
| ~ spl0_2
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1498,f1026]) ).
fof(f1503,plain,
( ~ spl0_2
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1502]) ).
fof(f1506,plain,
( sk_c11 != sk_c9
| ~ spl0_20
| spl0_22 ),
inference(forward_demodulation,[],[f971,f961]) ).
fof(f1608,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f903,f961]) ).
fof(f1611,plain,
( identity = sk_c9
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1608,f3]) ).
fof(f1614,plain,
( sk_c11 = sk_c9
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1611,f989]) ).
fof(f1615,plain,
( $false
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1614,f1506]) ).
fof(f1616,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1615]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f128]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f137]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f142]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f147]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f152]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f157]) ).
cnf(s7,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f162]) ).
cnf(s9,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f172]) ).
cnf(s10,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f177]) ).
cnf(s11,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f182]) ).
cnf(s12,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f187]) ).
cnf(s13,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f188]) ).
cnf(s14,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f189]) ).
cnf(s15,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f190]) ).
cnf(s16,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f191]) ).
cnf(s17,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f192]) ).
cnf(s18,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f193]) ).
cnf(s19,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f194]) ).
cnf(s20,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f195]) ).
cnf(s21,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f196]) ).
cnf(s22,plain,
( spl0_7
| spl0_19 ),
inference(sat_conversion,[],[f201]) ).
cnf(s23,plain,
( spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f202]) ).
cnf(s24,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f203]) ).
cnf(s25,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f204]) ).
cnf(s26,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f205]) ).
cnf(s27,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f206]) ).
cnf(s28,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f207]) ).
cnf(s29,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f208]) ).
cnf(s30,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f209]) ).
cnf(s31,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f210]) ).
cnf(s33,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f212]) ).
cnf(s34,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f213]) ).
cnf(s35,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f214]) ).
cnf(s36,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f215]) ).
cnf(s37,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f216]) ).
cnf(s38,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f217]) ).
cnf(s39,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f218]) ).
cnf(s40,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f219]) ).
cnf(s41,plain,
( spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f220]) ).
cnf(s42,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f221]) ).
cnf(s43,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f222]) ).
cnf(s44,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f223]) ).
cnf(s45,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f224]) ).
cnf(s46,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f225]) ).
cnf(s47,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f226]) ).
cnf(s49,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f228]) ).
cnf(s50,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f229]) ).
cnf(s51,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f230]) ).
cnf(s53,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f483]) ).
cnf(s54,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f489]) ).
cnf(s55,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f511]) ).
cnf(s65,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f685]) ).
cnf(s69,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f720]) ).
cnf(s81,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f922]) ).
cnf(s82,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f943]) ).
cnf(s87,plain,
( ~ spl0_6
| spl0_23 ),
inference(sat_conversion,[],[f998]) ).
cnf(s93,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s94,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_20
| ~ spl0_23 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s95,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| spl0_20
| ~ spl0_23 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s103,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s114,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s120,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1464]) ).
cnf(s122,plain,
( ~ spl0_2
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f1503]) ).
cnf(s126,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f1616]) ).
cnf(s127,plain,
spl0_5,
inference(rat,[],[s53,s33,s34,s35,s36,s37,s38,s39,s40,s41]) ).
cnf(s128,plain,
spl0_6,
inference(rat,[],[s54,s42,s43,s44,s45,s46,s47,s49,s50,s51]) ).
cnf(s129,plain,
spl0_23,
inference(rat,[],[s87,s128]) ).
cnf(s131,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_4 ),
inference(rat,[],[s94,s114,s129]) ).
cnf(s132,plain,
( spl0_17
| ~ spl0_4 ),
inference(rat,[],[s131,s21,s31]) ).
cnf(s133,plain,
( spl0_16
| ~ spl0_4 ),
inference(rat,[],[s131,s20,s30]) ).
cnf(s134,plain,
( spl0_15
| ~ spl0_4 ),
inference(rat,[],[s131,s19,s29]) ).
cnf(s135,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s120,s17,s27,s95,s81,s133,s132,s134,s128,s129,s127]) ).
cnf(s136,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s131,s16,s26]) ).
cnf(s137,plain,
( ~ spl0_12
| ~ spl0_17
| ~ spl0_4
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(rat,[],[s131,s15,s25,s55]) ).
cnf(s138,plain,
~ spl0_4,
inference(rat,[],[s137,s136,s135,s134,s133,s132]) ).
cnf(s139,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_3 ),
inference(rat,[],[s94,s93,s128,s129]) ).
cnf(s140,plain,
( spl0_19
| ~ spl0_3 ),
inference(rat,[],[s82,s30,s31]) ).
cnf(s141,plain,
( ~ spl0_19
| ~ spl0_3 ),
inference(rat,[],[s82,s20,s21,s139]) ).
cnf(s142,plain,
~ spl0_3,
inference(rat,[],[s141,s140]) ).
cnf(s143,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s122,s126,s94,s129,s127]) ).
cnf(s144,plain,
( spl0_19
| ~ spl0_2 ),
inference(rat,[],[s69,s23,s24,s25,s26,s27,s28,s29,s30,s31]) ).
cnf(s145,plain,
( ~ spl0_19
| ~ spl0_2 ),
inference(rat,[],[s69,s13,s14,s15,s16,s17,s18,s19,s20,s21,s143]) ).
cnf(s146,plain,
~ spl0_2,
inference(rat,[],[s145,s144]) ).
cnf(s147,plain,
spl0_1,
inference(rat,[],[s1,s127,s138,s128,s142,s146]) ).
cnf(s148,plain,
spl0_8,
inference(rat,[],[s65,s2,s3,s4,s5,s6,s7,s9,s10,s11,s147]) ).
cnf(s149,plain,
( ~ spl0_19
| ~ spl0_18 ),
inference(rat,[],[s103,s94,s129,s148,s128,s147]) ).
cnf(s150,plain,
spl0_19,
inference(rat,[],[s65,s22,s23,s24,s25,s26,s27,s29,s30,s31,s147]) ).
cnf(s151,plain,
~ spl0_18,
inference(rat,[],[s149,s150]) ).
cnf(s152,plain,
spl0_17,
inference(rat,[],[s21,s151]) ).
cnf(s153,plain,
spl0_16,
inference(rat,[],[s20,s151]) ).
cnf(s154,plain,
spl0_15,
inference(rat,[],[s19,s151]) ).
cnf(s156,plain,
spl0_13,
inference(rat,[],[s17,s151]) ).
cnf(s157,plain,
spl0_12,
inference(rat,[],[s16,s151]) ).
cnf(s158,plain,
spl0_11,
inference(rat,[],[s15,s151]) ).
cnf(s159,plain,
spl0_10,
inference(rat,[],[s14,s151]) ).
cnf(s160,plain,
spl0_9,
inference(rat,[],[s13,s151]) ).
cnf(s161,plain,
spl0_7,
inference(rat,[],[s12,s151]) ).
cnf(s162,plain,
$false,
inference(rat,[],[s65,s154,s156,s157,s158,s159,s160,s147,s152,s153,s161]) ).
fof(f1617,plain,
$false,
inference(avatar_sat_refutation,[],[s162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP378-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:00:00 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.16/0.46 % (2163937)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (2163946)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4140524061:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (2163943)% WARNING: option uhcvi not known.
% 0.16/0.46 % (2163943)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2479633069:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (2163942)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3345684447_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (2163944)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=671913722:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (2163945)dis+10_1_sil=32000:sp=arity:random_seed=412419981:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (2163947)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=119591673:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (2163948)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4200496297:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % (2163946) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2163937-2163946"...
% 0.16/0.46 % TRYING [4]
% 0.16/0.46 % (2163946)...printing done.
% 0.16/0.46 % (2163946)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (2163946)------------------------------
% 0.16/0.47 % (2163946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (2163946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (2163946)CaDiCaL version: 2.1.3
% 0.16/0.47 % (2163946)Termination reason: Refutation
% 0.16/0.47 % (2163946)Time elapsed: 0.017 s
% 0.16/0.47 % (2163946)Peak memory usage: 13 MB
% 0.16/0.47 % (2163946)Instructions burned: 50 (million)
% 0.16/0.47 % (2163937)Success in time 0.045 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------