%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP371-1 : 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 : n014.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 10:17:37 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 71
% Syntax : Number of formulae : 458 ( 29 unt; 22 def)
% Number of atoms : 1668 ( 507 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2297 (1087 ~;1188 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 5 ( 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 : 91 ( 0 sgn 91 !; 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_c1,sk_c2) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,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_13) ).
fof(f28,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,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_15) ).
fof(f32,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,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_17) ).
fof(f36,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f38,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f40,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( sk_c2 = inverse(sk_c1)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f56,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f58,plain,
( sk_c2 = inverse(sk_c1)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f60,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f63,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_31) ).
fof(f64,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,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_33) ).
fof(f68,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,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_35) ).
fof(f72,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,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_37) ).
fof(f76,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f78,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f80,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f79]) ).
fof(f83,negated_conjecture,
( multiply(sk_c9,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_c9,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c9,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_c9,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c9,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_c9,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c9,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_c9,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c9,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_c9,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c9,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_c9,sk_c10)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( multiply(sk_c9,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_c9,sk_c10)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( multiply(sk_c9,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_c9,sk_c10)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f99]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| multiply(X0,X1) != sk_c11
| inverse(X0) != X1
| multiply(X1,sk_c10) != sk_c11
| multiply(sk_c9,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
| multiply(X0,X1) != sk_c11
| inverse(X0) != X1
| sk_c11 != multiply(X1,sk_c10)
| sk_c11 != multiply(sk_c9,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_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10)
| sk_c11 != multiply(sk_c9,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_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10)
| sk_c11 != multiply(sk_c9,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_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10)
| sk_c11 != multiply(sk_c9,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))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ 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
<=> sk_c11 = multiply(sk_c9,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f119,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f120,plain,
( sk_c11 != multiply(sk_c9,sk_c10)
| spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f122,definition,
( spl0_5
<=> ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f123,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f122]) ).
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,f122,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(f135,definition,
( spl0_8
<=> sk_c8 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f137,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f100,f118,f135]) ).
fof(f140,definition,
( spl0_9
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f142,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f98,f118,f140]) ).
fof(f145,definition,
( spl0_10
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f147,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f96,f118,f145]) ).
fof(f150,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f152,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f94,f118,f150]) ).
fof(f155,definition,
( spl0_12
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f157,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f92,f118,f155]) ).
fof(f160,definition,
( spl0_13
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f162,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f163,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f90,f118,f160]) ).
fof(f165,definition,
( spl0_14
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f167,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f88,f118,f165]) ).
fof(f170,definition,
( spl0_15
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f172,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( spl0_15
| spl0_4 ),
inference(avatar_split_clause,[],[f86,f118,f170]) ).
fof(f175,definition,
( spl0_16
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f177,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f178,plain,
( spl0_16
| spl0_4 ),
inference(avatar_split_clause,[],[f84,f118,f175]) ).
fof(f180,definition,
( spl0_17
<=> sk_c11 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f182,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f80,f180,f135]) ).
fof(f185,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f78,f180,f140]) ).
fof(f186,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f76,f180,f145]) ).
fof(f187,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f74,f180,f150]) ).
fof(f188,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f72,f180,f155]) ).
fof(f189,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f70,f180,f160]) ).
fof(f190,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f68,f180,f165]) ).
fof(f191,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f66,f180,f170]) ).
fof(f192,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f64,f180,f175]) ).
fof(f194,definition,
( spl0_18
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f196,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f198,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f60,f194,f135]) ).
fof(f199,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f58,f194,f140]) ).
fof(f200,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f56,f194,f145]) ).
fof(f201,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f54,f194,f150]) ).
fof(f202,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f52,f194,f155]) ).
fof(f203,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f50,f194,f160]) ).
fof(f204,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f48,f194,f165]) ).
fof(f205,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f46,f194,f170]) ).
fof(f206,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f44,f194,f175]) ).
fof(f208,definition,
( spl0_19
<=> sk_c11 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f210,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f212,plain,
( spl0_8
| spl0_19 ),
inference(avatar_split_clause,[],[f40,f208,f135]) ).
fof(f213,plain,
( spl0_9
| spl0_19 ),
inference(avatar_split_clause,[],[f38,f208,f140]) ).
fof(f214,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f36,f208,f145]) ).
fof(f215,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f34,f208,f150]) ).
fof(f216,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f32,f208,f155]) ).
fof(f217,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f30,f208,f160]) ).
fof(f218,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f28,f208,f165]) ).
fof(f219,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f26,f208,f170]) ).
fof(f220,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f24,f208,f175]) ).
fof(f221,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f125,f130]) ).
fof(f222,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f125,f135]) ).
fof(f223,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f125,f140]) ).
fof(f224,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f17,f125,f145]) ).
fof(f225,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f125,f150]) ).
fof(f226,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f125,f155]) ).
fof(f228,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f125,f165]) ).
fof(f229,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f125,f170]) ).
fof(f230,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f125,f175]) ).
fof(f231,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_15 ),
inference(superposition,[],[f3,f172]) ).
fof(f233,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_11 ),
inference(superposition,[],[f3,f152]) ).
fof(f234,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f3,f142]) ).
fof(f235,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f3,f137]) ).
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_16 ),
inference(superposition,[],[f4,f177]) ).
fof(f240,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl0_14 ),
inference(superposition,[],[f4,f167]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f157]) ).
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_15 ),
inference(superposition,[],[f4,f231]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f247,f1]) ).
fof(f261,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f248,f177]) ).
fof(f270,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f239,f261]) ).
fof(f272,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f270,f177]) ).
fof(f273,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f241,f147]) ).
fof(f279,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f273,f261]) ).
fof(f289,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f240,f272]) ).
fof(f291,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f289,f167]) ).
fof(f301,plain,
( sk_c11 != sk_c9
| spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f120,f291]) ).
fof(f310,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f244,f3]) ).
fof(f311,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f244,f244]) ).
fof(f319,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_14 ),
inference(superposition,[],[f244,f167]) ).
fof(f321,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f244,f291]) ).
fof(f322,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_12 ),
inference(superposition,[],[f244,f157]) ).
fof(f324,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f244,f279]) ).
fof(f327,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f244,f233]) ).
fof(f328,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_8 ),
inference(superposition,[],[f244,f235]) ).
fof(f329,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f244,f132]) ).
fof(f331,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_9 ),
inference(superposition,[],[f244,f234]) ).
fof(f334,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f331,f137]) ).
fof(f336,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f329,f142]) ).
fof(f337,plain,
( sk_c5 = sk_c6
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f327,f328]) ).
fof(f338,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f324,f152]) ).
fof(f340,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f322,f152]) ).
fof(f341,plain,
( identity = sk_c10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f321,f3]) ).
fof(f343,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f319,f162]) ).
fof(f349,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f310,f311]) ).
fof(f350,plain,
( sk_c11 = sk_c8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f340,f338]) ).
fof(f352,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f349,f341]) ).
fof(f353,plain,
( sk_c11 = multiply(sk_c6,sk_c11)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f279,f337]) ).
fof(f371,plain,
( sk_c7 = multiply(sk_c11,identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f334,f350]) ).
fof(f380,plain,
( sk_c7 = multiply(sk_c11,sk_c10)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f371,f341]) ).
fof(f385,plain,
( sk_c11 = sk_c7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f380,f261]) ).
fof(f393,plain,
( identity = multiply(sk_c6,sk_c11)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f234,f385]) ).
fof(f395,plain,
( inverse(sk_c11) = sk_c6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f142,f385]) ).
fof(f397,plain,
( identity = sk_c11
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f393,f353]) ).
fof(f399,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f244,f336]) ).
fof(f401,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c11)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f399,f350]) ).
fof(f402,plain,
( sk_c6 = multiply(sk_c8,sk_c11)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f401,f137]) ).
fof(f403,plain,
( sk_c11 = sk_c6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f402,f338]) ).
fof(f416,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f244,f343]) ).
fof(f418,plain,
( identity = sk_c9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f416,f3]) ).
fof(f421,plain,
( sk_c10 = sk_c9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f418,f341]) ).
fof(f423,plain,
( sk_c11 != sk_c10
| spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f301,f421]) ).
fof(f443,plain,
( identity = inverse(sk_c10)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f3,f352]) ).
fof(f448,plain,
( sk_c4 = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f167,f352]) ).
fof(f455,plain,
( sk_c10 = sk_c4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f448,f421]) ).
fof(f459,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f443,f341]) ).
fof(f477,plain,
( sk_c11 = sk_c10
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f341,f397]) ).
fof(f479,plain,
( sk_c11 = sk_c10
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f397,f341]) ).
fof(f486,plain,
( $false
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f477,f423]) ).
fof(f487,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f489,plain,
( sk_c11 = sk_c9
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f119,f352]) ).
fof(f490,plain,
( sk_c10 != sk_c6
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f127,f395]) ).
fof(f491,plain,
( sk_c11 != sk_c10
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f490,f403]) ).
fof(f492,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f491,f479]) ).
fof(f493,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f497,plain,
( sk_c11 = sk_c10
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f421,f489]) ).
fof(f511,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f352,f479]) ).
fof(f557,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_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f110,f352]) ).
fof(f577,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_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f557,f172]) ).
fof(f585,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c3,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f577]) ).
fof(f594,plain,
( ! [X0] :
( inverse(X0) != X0
| sk_c11 != multiply(sk_c3,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f585,f511]) ).
fof(f607,plain,
( ! [X0] :
( sk_c11 != sk_c10
| inverse(X0) != X0
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f594,f177]) ).
fof(f620,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != X0 )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f607,f479]) ).
fof(f682,plain,
( sk_c11 != inverse(sk_c10)
| sk_c10 != sk_c4
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f620,f162]) ).
fof(f690,plain,
( sk_c11 != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f682,f455]) ).
fof(f696,plain,
( sk_c11 != sk_c10
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f690,f459]) ).
fof(f704,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f696,f479]) ).
fof(f705,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f713,plain,
( ! [X3] :
( sk_c9 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f113,f352]) ).
fof(f714,plain,
( ! [X3] :
( sk_c10 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f713,f421]) ).
fof(f715,plain,
( ! [X3] :
( sk_c11 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f714,f479]) ).
fof(f716,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != X3 )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f715,f479]) ).
fof(f725,plain,
( sk_c11 != sk_c10
| sk_c11 != sk_c4
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f716,f162]) ).
fof(f735,plain,
( sk_c11 != sk_c4
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f725,f479]) ).
fof(f747,plain,
( sk_c11 != sk_c10
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f735,f455]) ).
fof(f750,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f747,f479]) ).
fof(f751,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f750]) ).
fof(f799,plain,
( ! [X2] :
( sk_c11 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f116,f497]) ).
fof(f801,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl0_6 ),
inference(superposition,[],[f3,f126]) ).
fof(f822,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_18 ),
inference(superposition,[],[f3,f196]) ).
fof(f833,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_19 ),
inference(superposition,[],[f244,f210]) ).
fof(f836,plain,
( sk_c2 = multiply(sk_c2,sk_c11)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f833,f196]) ).
fof(f869,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f799,f279]) ).
fof(f870,plain,
( sk_c11 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f869]) ).
fof(f872,plain,
( sk_c11 != sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f870,f152]) ).
fof(f877,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f872,f350]) ).
fof(f878,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f896,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f119]) ).
fof(f899,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f182]) ).
fof(f909,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(identity)
| ~ spl0_3 ),
inference(superposition,[],[f116,f1]) ).
fof(f914,definition,
( spl0_20
<=> sk_c11 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f915,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f916,plain,
( sk_c11 != inverse(sk_c10)
| spl0_20 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f926,definition,
( spl0_22
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f927,plain,
( sk_c11 = sk_c10
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f928,plain,
( sk_c11 != sk_c10
| spl0_22 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f991,plain,
( sk_c11 = multiply(sk_c2,sk_c11)
| ~ spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f182,f927]) ).
fof(f998,plain,
( sk_c11 != inverse(sk_c11)
| spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f916,f927]) ).
fof(f999,plain,
( sk_c11 != sk_c10
| ~ spl0_6
| spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f998,f126]) ).
fof(f1005,plain,
( $false
| ~ spl0_6
| spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f999,f927]) ).
fof(f1006,plain,
( ~ spl0_6
| spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1012,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f915,f927]) ).
fof(f1107,plain,
( sk_c11 != multiply(sk_c5,sk_c8)
| sk_c11 != multiply(sk_c8,sk_c10)
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f123,f152]) ).
fof(f1109,plain,
( sk_c11 != multiply(sk_c1,sk_c2)
| sk_c11 != multiply(sk_c2,sk_c10)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f123,f196]) ).
fof(f1127,plain,
( sk_c11 != multiply(sk_c2,sk_c10)
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1109,f210]) ).
fof(f1129,plain,
( sk_c11 != multiply(sk_c8,sk_c10)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1107,f157]) ).
fof(f1143,plain,
( $false
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1127,f182]) ).
fof(f1144,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1147,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1129,f147]) ).
fof(f1148,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1164,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f113,f927]) ).
fof(f1190,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),sk_c11)
| sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f110,f927]) ).
fof(f1341,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c9),multiply(sk_c11,X0))
| ~ spl0_4 ),
inference(superposition,[],[f244,f896]) ).
fof(f1454,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f3,f1012]) ).
fof(f1540,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1164,f927]) ).
fof(f1563,plain,
( ! [X0,X1] :
( sk_c9 != multiply(X0,multiply(X1,sk_c11))
| sk_c11 != inverse(multiply(X0,X1)) )
| ~ spl0_2
| ~ spl0_22 ),
inference(superposition,[],[f1540,f4]) ).
fof(f1588,plain,
( sk_c9 != multiply(sk_c11,sk_c11)
| sk_c11 != inverse(multiply(sk_c2,sk_c10))
| ~ spl0_2
| ~ spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f1563,f899]) ).
fof(f1618,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f244,f836]) ).
fof(f1620,plain,
( identity = sk_c11
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1618,f3]) ).
fof(f1870,definition,
( spl0_28
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f1872,plain,
( sk_c11 != sk_c9
| spl0_28 ),
inference(avatar_component_clause,[],[f1870]) ).
fof(f1902,plain,
( identity != sk_c9
| sk_c11 != inverse(multiply(sk_c2,sk_c10))
| ~ spl0_2
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1588,f1454]) ).
fof(f1939,plain,
( sk_c11 != sk_c9
| sk_c11 != inverse(multiply(sk_c2,sk_c10))
| ~ spl0_2
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1902,f1620]) ).
fof(f1955,plain,
( sk_c11 != inverse(sk_c11)
| sk_c11 != sk_c9
| ~ spl0_2
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1939,f182]) ).
fof(f1962,plain,
( sk_c11 != sk_c9
| ~ spl0_2
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1955,f1012]) ).
fof(f1966,plain,
( ~ spl0_28
| ~ spl0_2
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1962,f926,f914,f208,f194,f180,f112,f1870]) ).
fof(f1970,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f1,f1620]) ).
fof(f1981,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(inverse(sk_c9),multiply(sk_c11,X0))
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1341,f927]) ).
fof(f1983,plain,
( ! [X0] : multiply(inverse(sk_c9),X0) = X0
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1981,f1970]) ).
fof(f1997,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl0_18 ),
inference(superposition,[],[f244,f822]) ).
fof(f2000,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1997,f349]) ).
fof(f2021,plain,
( sk_c11 = sk_c2
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f836,f991]) ).
fof(f2043,plain,
( inverse(sk_c11) = sk_c1
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f2000,f2021]) ).
fof(f2044,plain,
( sk_c10 = sk_c1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2043,f126]) ).
fof(f2050,plain,
( sk_c11 = sk_c1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2044,f927]) ).
fof(f2054,plain,
( identity = sk_c9
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1983,f3]) ).
fof(f2067,plain,
( sk_c11 = sk_c9
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2054,f1620]) ).
fof(f2070,plain,
( $false
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f2067,f1872]) ).
fof(f2071,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f2070]) ).
fof(f2202,plain,
( ! [X0] :
( identity != inverse(inverse(inverse(X0)))
| sk_c11 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(X0,inverse(X0))
| inverse(X0) != inverse(inverse(inverse(inverse(X0)))) )
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f1190,f3]) ).
fof(f2210,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| inverse(X0) != inverse(inverse(inverse(inverse(X0))))
| sk_c11 != inverse(inverse(inverse(X0)))
| sk_c11 != multiply(inverse(X0),sk_c11) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2202,f1620]) ).
fof(f2340,plain,
( sk_c2 != inverse(inverse(inverse(sk_c2)))
| sk_c11 != multiply(sk_c1,sk_c2)
| sk_c11 != inverse(inverse(sk_c2))
| sk_c11 != multiply(sk_c2,sk_c11)
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f2210,f196]) ).
fof(f2344,plain,
( sk_c2 != inverse(inverse(inverse(sk_c2)))
| sk_c11 != inverse(inverse(sk_c2))
| sk_c11 != multiply(sk_c2,sk_c11)
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2340,f210]) ).
fof(f2350,plain,
( sk_c2 != inverse(inverse(inverse(sk_c2)))
| sk_c11 != inverse(inverse(sk_c2))
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2344,f991]) ).
fof(f2356,plain,
( sk_c2 != inverse(inverse(sk_c1))
| sk_c11 != inverse(inverse(sk_c2))
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2350,f2000]) ).
fof(f2362,plain,
( sk_c2 != inverse(sk_c2)
| sk_c11 != inverse(inverse(sk_c2))
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2356,f196]) ).
fof(f2368,plain,
( sk_c1 != sk_c2
| sk_c11 != inverse(inverse(sk_c2))
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2362,f2000]) ).
fof(f2374,plain,
( sk_c11 != sk_c1
| sk_c11 != inverse(inverse(sk_c2))
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2368,f2021]) ).
fof(f2381,plain,
( sk_c11 != inverse(inverse(sk_c2))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2374,f2050]) ).
fof(f2386,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2381,f2000]) ).
fof(f2392,plain,
( sk_c11 != sk_c2
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2386,f196]) ).
fof(f2395,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2392,f2021]) ).
fof(f2396,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2395]) ).
fof(f2402,plain,
( sk_c11 != inverse(identity)
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f909,f927]) ).
fof(f2406,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2402,f1620]) ).
fof(f2411,plain,
( $false
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2406,f1012]) ).
fof(f2412,plain,
( ~ spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2411]) ).
fof(f2420,plain,
( sk_c11 = multiply(sk_c10,sk_c11)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f801,f1620]) ).
fof(f2497,plain,
( multiply(sk_c11,sk_c11) = multiply(sk_c2,sk_c11)
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f899,f2420]) ).
fof(f2505,plain,
( sk_c2 = multiply(sk_c11,sk_c11)
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2497,f836]) ).
fof(f2507,plain,
( sk_c11 = sk_c2
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2505,f1970]) ).
fof(f2518,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f822,f2507]) ).
fof(f2523,plain,
( inverse(sk_c11) = sk_c1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f2000,f2507]) ).
fof(f2524,plain,
( sk_c10 = sk_c1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2523,f126]) ).
fof(f2528,plain,
( identity = sk_c1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2518,f1970]) ).
fof(f2534,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2528,f2524]) ).
fof(f2539,plain,
( sk_c11 = sk_c10
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2534,f1620]) ).
fof(f2540,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f2539,f928]) ).
fof(f2541,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f2540]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f128]) ).
cnf(s3,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f138]) ).
cnf(s4,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f143]) ).
cnf(s5,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f148]) ).
cnf(s6,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f153]) ).
cnf(s7,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f158]) ).
cnf(s8,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f163]) ).
cnf(s9,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f168]) ).
cnf(s10,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f173]) ).
cnf(s11,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f178]) ).
cnf(s13,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f184]) ).
cnf(s14,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f185]) ).
cnf(s15,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f186]) ).
cnf(s16,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f187]) ).
cnf(s17,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f188]) ).
cnf(s18,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f189]) ).
cnf(s19,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f190]) ).
cnf(s20,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f191]) ).
cnf(s21,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f192]) ).
cnf(s23,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f198]) ).
cnf(s24,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f199]) ).
cnf(s25,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f200]) ).
cnf(s26,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f201]) ).
cnf(s27,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f202]) ).
cnf(s28,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f203]) ).
cnf(s29,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f204]) ).
cnf(s30,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f205]) ).
cnf(s31,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f206]) ).
cnf(s33,plain,
( spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f212]) ).
cnf(s34,plain,
( spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f213]) ).
cnf(s35,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f214]) ).
cnf(s36,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f215]) ).
cnf(s37,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f216]) ).
cnf(s38,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f217]) ).
cnf(s39,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f218]) ).
cnf(s40,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f219]) ).
cnf(s41,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f220]) ).
cnf(s42,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f221]) ).
cnf(s43,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f222]) ).
cnf(s44,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f223]) ).
cnf(s45,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f224]) ).
cnf(s46,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f225]) ).
cnf(s47,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f226]) ).
cnf(s49,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f228]) ).
cnf(s50,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f229]) ).
cnf(s51,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f230]) ).
cnf(s53,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f487]) ).
cnf(s54,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f493]) ).
cnf(s63,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f705]) ).
cnf(s73,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f751]) ).
cnf(s82,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f878]) ).
cnf(s92,plain,
( ~ spl0_6
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s102,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s104,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s141,plain,
( ~ spl0_2
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22
| ~ spl0_28 ),
inference(sat_conversion,[],[f1966]) ).
cnf(s148,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| spl0_28 ),
inference(sat_conversion,[],[f2071]) ).
cnf(s156,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f2396]) ).
cnf(s160,plain,
( ~ spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f2412]) ).
cnf(s174,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| spl0_22 ),
inference(sat_conversion,[],[f2541]) ).
cnf(s175,plain,
spl0_4,
inference(rat,[],[s53,s3,s4,s5,s6,s7,s8,s9,s10,s11]) ).
cnf(s176,plain,
spl0_6,
inference(rat,[],[s54,s42,s43,s44,s45,s46,s47,s49,s50,s51]) ).
cnf(s177,plain,
( spl0_12
| ~ spl0_5 ),
inference(rat,[],[s102,s17,s27,s37]) ).
cnf(s178,plain,
( spl0_11
| ~ spl0_5 ),
inference(rat,[],[s102,s16,s26,s36]) ).
cnf(s179,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_5 ),
inference(rat,[],[s102,s15,s25,s35,s104]) ).
cnf(s180,plain,
~ spl0_5,
inference(rat,[],[s179,s178,s177]) ).
cnf(s181,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s160,s92,s174,s17,s27,s37,s176]) ).
cnf(s182,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s160,s92,s174,s176]) ).
cnf(s183,plain,
( spl0_19
| ~ spl0_11
| ~ spl0_10
| ~ spl0_3 ),
inference(rat,[],[s82,s38,s39,s40,s41,s181,s175]) ).
cnf(s184,plain,
( spl0_18
| ~ spl0_11
| ~ spl0_10
| ~ spl0_3 ),
inference(rat,[],[s82,s28,s29,s30,s31,s181,s175]) ).
cnf(s185,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_3 ),
inference(rat,[],[s82,s18,s19,s20,s21,s182,s184,s183,s181,s175]) ).
cnf(s186,plain,
( spl0_11
| ~ spl0_3 ),
inference(rat,[],[s182,s16,s26,s36]) ).
cnf(s187,plain,
( ~ spl0_11
| ~ spl0_3 ),
inference(rat,[],[s182,s15,s25,s35,s185]) ).
cnf(s188,plain,
~ spl0_3,
inference(rat,[],[s187,s186]) ).
cnf(s189,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s141,s148,s92,s174,s175,s176]) ).
cnf(s190,plain,
( spl0_19
| ~ spl0_2 ),
inference(rat,[],[s73,s33,s34,s35,s36,s37,s38,s39,s40,s41]) ).
cnf(s191,plain,
( spl0_18
| ~ spl0_2 ),
inference(rat,[],[s73,s23,s24,s25,s26,s27,s28,s29,s30,s31]) ).
cnf(s192,plain,
( ~ spl0_18
| ~ spl0_2
| ~ spl0_19 ),
inference(rat,[],[s73,s13,s14,s15,s16,s17,s18,s19,s20,s21,s189]) ).
cnf(s193,plain,
~ spl0_2,
inference(rat,[],[s192,s191,s190]) ).
cnf(s194,plain,
spl0_1,
inference(rat,[],[s1,s175,s180,s176,s188,s193]) ).
cnf(s195,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_17 ),
inference(rat,[],[s174,s156,s194,s176]) ).
cnf(s196,plain,
spl0_19,
inference(rat,[],[s63,s33,s34,s35,s36,s37,s38,s39,s40,s41,s194]) ).
cnf(s197,plain,
spl0_18,
inference(rat,[],[s63,s23,s24,s25,s26,s27,s28,s29,s30,s31,s194]) ).
cnf(s198,plain,
~ spl0_17,
inference(rat,[],[s195,s196,s197]) ).
cnf(s199,plain,
spl0_16,
inference(rat,[],[s21,s198]) ).
cnf(s200,plain,
spl0_15,
inference(rat,[],[s20,s198]) ).
cnf(s201,plain,
spl0_14,
inference(rat,[],[s19,s198]) ).
cnf(s202,plain,
spl0_13,
inference(rat,[],[s18,s198]) ).
cnf(s203,plain,
spl0_12,
inference(rat,[],[s17,s198]) ).
cnf(s204,plain,
spl0_11,
inference(rat,[],[s16,s198]) ).
cnf(s205,plain,
spl0_10,
inference(rat,[],[s15,s198]) ).
cnf(s206,plain,
spl0_9,
inference(rat,[],[s14,s198]) ).
cnf(s207,plain,
spl0_8,
inference(rat,[],[s13,s198]) ).
cnf(s212,plain,
$false,
inference(rat,[],[s63,s199,s200,s201,s202,s205,s206,s194,s203,s204,s207]) ).
fof(f2542,plain,
$false,
inference(avatar_sat_refutation,[],[s212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP371-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.36 % Computer : n014.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 09:59:31 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.46 % (557445)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (557454)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4247866845:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (557451)% WARNING: option uhcvi not known.
% 0.12/0.46 % (557450)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2309511607_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % (557451)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2846098100:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (557452)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=369768986:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (557455)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2276582237:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % (557456)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3432191759:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (557453)dis+10_1_sil=32000:sp=arity:random_seed=3962005484:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % TRYING [1]
% 0.12/0.46 % TRYING [2]
% 0.12/0.46 % TRYING [3]
% 0.12/0.46 % TRYING [4]
% 0.12/0.46 % (557454) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-557445-557454"...
% 0.12/0.46 % (557454)...printing done.
% 0.12/0.46 % (557454)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.42/0.47 % (557454)------------------------------
% 0.42/0.47 % (557454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.47 % (557454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.47 % (557454)CaDiCaL version: 2.1.3
% 0.42/0.47 % (557454)Termination reason: Refutation
% 0.42/0.47 % (557454)Time elapsed: 0.024 s
% 0.42/0.47 % (557454)Peak memory usage: 13 MB
% 0.42/0.47 % (557454)Instructions burned: 75 (million)
% 0.42/0.47 % (557445)Success in time 0.053 s
% 0.42/0.47 % Vampire exiting
%------------------------------------------------------------------------------