%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP303-1 : 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 : n002.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 10:17:26 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 47
% Syntax : Number of formulae : 284 ( 26 unt; 22 def)
% Number of atoms : 834 ( 244 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1047 ( 497 ~; 528 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 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,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
sk_c5 = multiply(sk_c6,sk_c7),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| inverse(X3) != sk_c6
| multiply(X3,sk_c5) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f50,definition,
( spl0_1
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f51,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c5)
| sk_c6 != inverse(X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f54,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,definition,
( spl0_3
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f57,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,definition,
( spl0_4
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f60,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,definition,
( spl0_5
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f63,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f66,definition,
( spl0_6
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f68,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f48,f66,f62,f59,f56,f53,f50]) ).
fof(f71,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f73,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f75,definition,
( spl0_8
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f77,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f46,f75,f71]) ).
fof(f80,definition,
( spl0_9
<=> sk_c6 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f82,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f44,f75,f80]) ).
fof(f85,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f42,f75,f85]) ).
fof(f90,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f92,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f40,f75,f90]) ).
fof(f95,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f97,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f95,f71]) ).
fof(f99,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f95,f80]) ).
fof(f100,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f95,f85]) ).
fof(f101,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f95,f90]) ).
fof(f103,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f105,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f103,f71]) ).
fof(f107,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f103,f80]) ).
fof(f108,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f103,f85]) ).
fof(f109,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f103,f90]) ).
fof(f111,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f113,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f111,f71]) ).
fof(f115,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f20,f111,f80]) ).
fof(f116,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f18,f111,f85]) ).
fof(f117,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f111,f90]) ).
fof(f118,plain,
spl0_5,
inference(avatar_split_clause,[],[f14,f62]) ).
fof(f119,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f66,f71]) ).
fof(f120,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f66,f80]) ).
fof(f121,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f66,f85]) ).
fof(f122,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f66,f90]) ).
fof(f123,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_9 ),
inference(superposition,[],[f3,f82]) ).
fof(f127,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_5 ),
inference(superposition,[],[f4,f63]) ).
fof(f129,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f123]) ).
fof(f130,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f87]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f73]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f129,f1]) ).
fof(f133,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f127,f1]) ).
fof(f142,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f132,f73]) ).
fof(f145,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f130,f63]) ).
fof(f175,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_9 ),
inference(superposition,[],[f133,f123]) ).
fof(f176,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f133,f87]) ).
fof(f185,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f176,f92]) ).
fof(f186,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f128,f185]) ).
fof(f189,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f186,f142]) ).
fof(f195,plain,
( multiply(sk_c4,sk_c5) = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f131,f189]) ).
fof(f196,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f133,f189]) ).
fof(f198,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f196,f3]) ).
fof(f199,plain,
( sk_c5 = multiply(sk_c4,sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f195,f63]) ).
fof(f200,plain,
( sk_c6 = sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f199,f73]) ).
fof(f210,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f185,f198]) ).
fof(f212,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f210,f1]) ).
fof(f230,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f145,f200]) ).
fof(f231,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f230,f185]) ).
fof(f232,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f231,f87]) ).
fof(f233,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f232,f198]) ).
fof(f235,plain,
( sk_c5 != multiply(sk_c7,identity)
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f68,f233]) ).
fof(f243,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f175,f233]) ).
fof(f244,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f243,f3]) ).
fof(f252,plain,
( sk_c5 != multiply(identity,identity)
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f235,f198]) ).
fof(f257,plain,
( identity != sk_c5
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f252,f1]) ).
fof(f262,plain,
( identity != sk_c6
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f257,f200]) ).
fof(f263,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f262,f233]) ).
fof(f264,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f281,definition,
( spl0_15
<=> identity = sk_c4 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f282,plain,
( identity = sk_c4
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f294,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f244,f90,f85,f80,f71,f62,f281]) ).
fof(f298,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f105]) ).
fof(f302,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f133,f97]) ).
fof(f304,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f302,f77]) ).
fof(f308,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_3 ),
inference(superposition,[],[f57,f1]) ).
fof(f314,plain,
( sk_c7 != sk_c7
| sk_c6 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f57,f97]) ).
fof(f315,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f314]) ).
fof(f317,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f315,f77]) ).
fof(f318,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f338,definition,
( spl0_22
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f339,plain,
( identity = sk_c7
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f343,definition,
( spl0_23
<=> sk_c6 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f345,plain,
( sk_c6 != inverse(identity)
| spl0_23 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f347,definition,
( spl0_24
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f349,plain,
( sk_c7 != sk_c6
| spl0_24 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f350,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f308,f56,f347,f343]) ).
fof(f360,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f51,f73]) ).
fof(f370,definition,
( spl0_26
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f371,plain,
( identity = sk_c6
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f375,definition,
( spl0_27
<=> sk_c6 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f376,plain,
( sk_c6 = sk_c5
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f382,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(identity)
| ~ spl0_4 ),
inference(superposition,[],[f60,f1]) ).
fof(f386,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f60,f113]) ).
fof(f401,definition,
( spl0_30
<=> sk_c7 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f403,plain,
( sk_c7 != inverse(identity)
| spl0_30 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f409,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(identity)
| ~ spl0_2 ),
inference(superposition,[],[f54,f1]) ).
fof(f415,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f54,f97]) ).
fof(f416,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f415]) ).
fof(f418,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f416,f77]) ).
fof(f445,plain,
( sk_c6 = sk_c5
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f63,f304]) ).
fof(f448,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f133,f304]) ).
fof(f450,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f448,f3]) ).
fof(f453,plain,
( spl0_27
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f445,f95,f75,f62,f375]) ).
fof(f456,plain,
( spl0_22
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f450,f95,f75,f338]) ).
fof(f461,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_13
| ~ spl0_22 ),
inference(superposition,[],[f298,f339]) ).
fof(f465,plain,
( identity = sk_c1
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f461,f1]) ).
fof(f476,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f113,f465]) ).
fof(f477,plain,
( sk_c7 = inverse(identity)
| ~ spl0_13
| ~ spl0_22 ),
inference(superposition,[],[f105,f465]) ).
fof(f478,plain,
( identity = inverse(identity)
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f477,f339]) ).
fof(f479,plain,
( sk_c7 = sk_c6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f476,f1]) ).
fof(f483,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f360]) ).
fof(f484,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_demodulation,[],[f51,f376]) ).
fof(f488,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f483,f71,f50,f80]) ).
fof(f492,plain,
( identity = sk_c6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f479,f339]) ).
fof(f502,plain,
( spl0_26
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f492,f338,f111,f103,f370]) ).
fof(f536,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c6 != inverse(X3) )
| ~ spl0_1
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f484,f371]) ).
fof(f537,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f536,f371]) ).
fof(f545,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_26
| ~ spl0_27 ),
inference(superposition,[],[f537,f1]) ).
fof(f549,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_26
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f545]) ).
fof(f551,plain,
( identity != inverse(identity)
| spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f345,f371]) ).
fof(f552,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f478,f549]) ).
fof(f553,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f557,plain,
( identity != sk_c7
| sk_c7 != inverse(identity)
| ~ spl0_2
| ~ spl0_26 ),
inference(forward_demodulation,[],[f409,f371]) ).
fof(f566,plain,
( identity = inverse(sk_c4)
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_demodulation,[],[f82,f371]) ).
fof(f577,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f185,f339]) ).
fof(f584,plain,
( sk_c7 != inverse(identity)
| ~ spl0_2
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f557,f339]) ).
fof(f598,plain,
( identity = sk_c6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f577,f1]) ).
fof(f604,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_demodulation,[],[f584,f339]) ).
fof(f619,plain,
( identity != sk_c6
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22 ),
inference(forward_demodulation,[],[f418,f339]) ).
fof(f620,plain,
( spl0_26
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f212,f90,f85,f80,f71,f62,f370]) ).
fof(f624,plain,
( identity != sk_c6
| ~ spl0_22
| spl0_24 ),
inference(forward_demodulation,[],[f349,f339]) ).
fof(f632,plain,
( spl0_26
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f598,f338,f90,f85,f370]) ).
fof(f635,plain,
( ~ spl0_26
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f619,f338,f95,f75,f53,f370]) ).
fof(f636,plain,
( ~ spl0_26
| ~ spl0_22
| spl0_24 ),
inference(avatar_split_clause,[],[f624,f347,f338,f370]) ).
fof(f640,definition,
( spl0_33
<=> identity = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f657,plain,
( ~ spl0_33
| ~ spl0_2
| ~ spl0_22
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f604,f370,f338,f53,f640]) ).
fof(f663,plain,
( ~ spl0_33
| spl0_23
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f551,f370,f343,f640]) ).
fof(f665,plain,
( identity != inverse(identity)
| ~ spl0_22
| spl0_30 ),
inference(forward_demodulation,[],[f403,f339]) ).
fof(f674,plain,
( ~ spl0_33
| ~ spl0_22
| spl0_30 ),
inference(avatar_split_clause,[],[f665,f401,f338,f640]) ).
fof(f730,plain,
( identity = inverse(identity)
| ~ spl0_9
| ~ spl0_15
| ~ spl0_26 ),
inference(superposition,[],[f566,f282]) ).
fof(f735,plain,
( spl0_33
| ~ spl0_9
| ~ spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f730,f370,f281,f80,f640]) ).
fof(f738,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f386]) ).
fof(f740,plain,
( identity != sk_c7
| sk_c7 != inverse(identity)
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_demodulation,[],[f382,f371]) ).
fof(f743,plain,
( ~ spl0_13
| ~ spl0_4
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f738,f111,f59,f103]) ).
fof(f749,plain,
( spl0_22
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f198,f90,f85,f80,f71,f62,f338]) ).
fof(f764,plain,
( ~ spl0_30
| ~ spl0_22
| ~ spl0_4
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f740,f370,f59,f338,f401]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f69]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f78]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f83]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f88]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f93]) ).
cnf(s6,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f98]) ).
cnf(s7,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f99]) ).
cnf(s8,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f100]) ).
cnf(s9,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f101]) ).
cnf(s10,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f106]) ).
cnf(s11,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f107]) ).
cnf(s12,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f108]) ).
cnf(s13,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f109]) ).
cnf(s14,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f114]) ).
cnf(s15,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f115]) ).
cnf(s16,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f116]) ).
cnf(s17,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f117]) ).
cnf(s18,plain,
spl0_5,
inference(sat_conversion,[],[f118]) ).
cnf(s19,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f119]) ).
cnf(s20,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f120]) ).
cnf(s21,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f121]) ).
cnf(s22,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f122]) ).
cnf(s23,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f264]) ).
cnf(s26,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f294]) ).
cnf(s27,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f318]) ).
cnf(s31,plain,
( ~ spl0_3
| ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f350]) ).
cnf(s45,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| spl0_27 ),
inference(sat_conversion,[],[f453]) ).
cnf(s48,plain,
( ~ spl0_8
| ~ spl0_12
| spl0_22 ),
inference(sat_conversion,[],[f456]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f488]) ).
cnf(s59,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| spl0_26 ),
inference(sat_conversion,[],[f502]) ).
cnf(s61,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f553]) ).
cnf(s72,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_26 ),
inference(sat_conversion,[],[f620]) ).
cnf(s74,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_22
| spl0_26 ),
inference(sat_conversion,[],[f632]) ).
cnf(s75,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f635]) ).
cnf(s76,plain,
( ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f636]) ).
cnf(s84,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_26
| ~ spl0_33 ),
inference(sat_conversion,[],[f657]) ).
cnf(s88,plain,
( spl0_23
| ~ spl0_26
| ~ spl0_33 ),
inference(sat_conversion,[],[f663]) ).
cnf(s91,plain,
( ~ spl0_22
| spl0_30
| ~ spl0_33 ),
inference(sat_conversion,[],[f674]) ).
cnf(s99,plain,
( ~ spl0_9
| ~ spl0_15
| ~ spl0_26
| spl0_33 ),
inference(sat_conversion,[],[f735]) ).
cnf(s100,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f743]) ).
cnf(s103,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_22 ),
inference(sat_conversion,[],[f749]) ).
cnf(s108,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_26
| ~ spl0_30 ),
inference(sat_conversion,[],[f764]) ).
cnf(s118,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1,s18]) ).
cnf(s119,plain,
spl0_6,
inference(rat,[],[s23,s19,s20,s21,s22,s18]) ).
cnf(s121,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s91,s99,s108,s26,s72,s103,s18]) ).
cnf(s122,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s100,s13,s17]) ).
cnf(s123,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s100,s12,s16]) ).
cnf(s124,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s100,s11,s15]) ).
cnf(s125,plain,
( ~ spl0_9
| ~ spl0_4
| ~ spl0_11
| ~ spl0_10 ),
inference(rat,[],[s100,s10,s14,s121]) ).
cnf(s126,plain,
~ spl0_4,
inference(rat,[],[s125,s124,s123,s122]) ).
cnf(s127,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s88,s31,s99,s76,s26,s72,s103,s18]) ).
cnf(s128,plain,
( spl0_11
| ~ spl0_3 ),
inference(rat,[],[s27,s5,s9]) ).
cnf(s129,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s27,s4,s8]) ).
cnf(s130,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s27,s3,s7]) ).
cnf(s131,plain,
( ~ spl0_9
| ~ spl0_3
| ~ spl0_11
| ~ spl0_10 ),
inference(rat,[],[s27,s2,s6,s127]) ).
cnf(s132,plain,
~ spl0_3,
inference(rat,[],[s131,s130,s129,s128]) ).
cnf(s133,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s99,s84,s26,s72,s103,s18]) ).
cnf(s134,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s59,s75,s48,s5,s9,s13,s17]) ).
cnf(s135,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s59,s75,s48,s4,s8,s12,s16]) ).
cnf(s136,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s74,s75,s48,s3,s7,s134,s135]) ).
cnf(s137,plain,
( ~ spl0_9
| ~ spl0_2
| ~ spl0_11
| ~ spl0_10 ),
inference(rat,[],[s74,s75,s48,s2,s6,s133]) ).
cnf(s138,plain,
~ spl0_2,
inference(rat,[],[s137,s136,s135,s134]) ).
cnf(s139,plain,
spl0_1,
inference(rat,[],[s118,s119,s126,s132,s138]) ).
cnf(s140,plain,
spl0_9,
inference(rat,[],[s59,s61,s45,s48,s3,s7,s11,s15,s139,s18]) ).
cnf(s141,plain,
~ spl0_7,
inference(rat,[],[s51,s139,s140]) ).
cnf(s142,plain,
spl0_14,
inference(rat,[],[s14,s141]) ).
cnf(s143,plain,
spl0_13,
inference(rat,[],[s10,s141]) ).
cnf(s144,plain,
spl0_12,
inference(rat,[],[s6,s141]) ).
cnf(s145,plain,
spl0_8,
inference(rat,[],[s2,s141]) ).
cnf(s146,plain,
spl0_22,
inference(rat,[],[s48,s145,s144]) ).
cnf(s147,plain,
spl0_27,
inference(rat,[],[s45,s145,s18,s144]) ).
cnf(s148,plain,
~ spl0_26,
inference(rat,[],[s61,s147,s143,s139,s146]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s59,s143,s142,s148,s146]) ).
fof(f776,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP303-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 % Computer : n002.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 09:51:36 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.18/0.42 Running first-order model finding
% 0.18/0.42 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
% 0.18/0.47 % (3302267)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (3302275)dis+10_1_sil=32000:sp=arity:random_seed=2504689329:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (3302273)% WARNING: option uhcvi not known.
% 0.18/0.47 % (3302273)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3858109811:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (3302276)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2954390988:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (3302274)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4044275829:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (3302272)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2541185369_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (3302277)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3781428402:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (3302278)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3571302940:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (3302275) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3302267-3302275"...
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % (3302275)...printing done.
% 0.18/0.47 % TRYING [3]
% 0.18/0.47 % (3302275)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (3302275)------------------------------
% 0.18/0.47 % (3302275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (3302275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (3302275)CaDiCaL version: 2.1.3
% 0.18/0.47 % (3302275)Termination reason: Refutation
% 0.18/0.47 % (3302275)Time elapsed: 0.009 s
% 0.18/0.47 % (3302275)Peak memory usage: 12 MB
% 0.18/0.47 % (3302275)Instructions burned: 25 (million)
% 0.18/0.47 % (3302267)Success in time 0.045 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------