%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP297-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 10:13:34 AM UTC 2026
% Result : Unsatisfiable 3.16s 1.30s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 42
% Syntax : Number of formulae : 240 ( 19 unt; 15 def)
% Number of atoms : 739 ( 234 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 926 ( 427 ~; 484 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c4) = 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_c3,sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c1)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f39]) ).
fof(f43,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X1) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,X3) != sk_c6
| inverse(X2) != X3
| multiply(X3,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != multiply(X2,X3)
| inverse(X2) != X3
| sk_c6 != multiply(X3,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
! [X2,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) ),
inference(equality_resolution,[],[f54]) ).
fof(f57,definition,
( spl0_1
<=> ! [X2] :
( sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f58,plain,
( ! [X2] :
( sk_c6 != multiply(inverse(X2),sk_c7)
| sk_c6 != multiply(X2,inverse(X2)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_2
<=> ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f61,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_3
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl0_4
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl0_5
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f72,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_6
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f55,f74,f71,f67,f63,f60,f57]) ).
fof(f79,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f81,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f52,f67,f79]) ).
fof(f84,definition,
( spl0_8
<=> sk_c4 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f86,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f50,f67,f84]) ).
fof(f89,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c3,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f91,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f67,f89]) ).
fof(f94,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f96,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f46,f67,f94]) ).
fof(f99,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f101,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f44,f67,f99]) ).
fof(f105,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f107,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f105,f79]) ).
fof(f109,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f105,f84]) ).
fof(f110,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f105,f89]) ).
fof(f111,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f105,f94]) ).
fof(f112,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f105,f99]) ).
fof(f113,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f105,f63]) ).
fof(f115,definition,
( spl0_13
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f117,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f115,f79]) ).
fof(f119,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f115,f84]) ).
fof(f120,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f115,f89]) ).
fof(f121,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f115,f94]) ).
fof(f122,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f115,f99]) ).
fof(f123,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f115,f63]) ).
fof(f124,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f74,f79]) ).
fof(f125,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f74,f84]) ).
fof(f126,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f74,f89]) ).
fof(f127,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f74,f94]) ).
fof(f128,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f74,f99]) ).
fof(f129,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f74,f63]) ).
fof(f130,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl0_8 ),
inference(superposition,[],[f3,f86]) ).
fof(f131,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f3,f101]) ).
fof(f133,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f136,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_7 ),
inference(superposition,[],[f4,f81]) ).
fof(f138,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f91]) ).
fof(f140,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f133,f1]) ).
fof(f142,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f130]) ).
fof(f143,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f142,f1]) ).
fof(f144,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f131]) ).
fof(f145,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f144,f1]) ).
fof(f146,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f143,f91]) ).
fof(f158,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f145,f96]) ).
fof(f169,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c6)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f136,f158]) ).
fof(f172,plain,
( multiply(sk_c6,sk_c7) = sk_c4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f169,f146]) ).
fof(f173,plain,
( sk_c5 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f172,f64]) ).
fof(f176,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c3,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f138,f81]) ).
fof(f183,plain,
( sk_c5 = multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f176,f64]) ).
fof(f187,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f91,f173]) ).
fof(f205,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f140,f64]) ).
fof(f206,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f140,f81]) ).
fof(f209,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f140,f146]) ).
fof(f211,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl0_8 ),
inference(superposition,[],[f140,f130]) ).
fof(f216,plain,
( sk_c3 = multiply(inverse(sk_c5),identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f211,f173]) ).
fof(f217,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f209,f3]) ).
fof(f219,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f206,f173]) ).
fof(f242,plain,
( sk_c3 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f216,f217]) ).
fof(f256,plain,
( sk_c7 = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f242,f219]) ).
fof(f262,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f183,f256]) ).
fof(f263,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f187,f256]) ).
fof(f266,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f262,f99,f94,f89,f84,f79,f63,f74]) ).
fof(f274,plain,
( spl0_4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f263,f99,f94,f89,f84,f79,f63,f67]) ).
fof(f275,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c6,sk_c5)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f136,f68]) ).
fof(f278,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f68]) ).
fof(f280,plain,
( sk_c4 = multiply(sk_c6,sk_c5)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f275,f146]) ).
fof(f281,plain,
( sk_c5 = multiply(sk_c6,sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f280,f173]) ).
fof(f294,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f140,f281]) ).
fof(f296,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f294,f205]) ).
fof(f298,plain,
( sk_c7 != sk_c4
| sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f72,f86]) ).
fof(f303,plain,
( sk_c7 != sk_c5
| sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f298,f173]) ).
fof(f304,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| sk_c7 != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f303,f256]) ).
fof(f305,plain,
( sk_c7 != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f304,f158]) ).
fof(f306,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f296,f305]) ).
fof(f307,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f308,plain,
( sk_c6 != multiply(sk_c4,sk_c7)
| sk_c6 != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f58,f86]) ).
fof(f315,plain,
( sk_c6 != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f308,f81]) ).
fof(f329,definition,
( spl0_15
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f330,plain,
( identity = sk_c6
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f333,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f315,f84,f79,f57,f89]) ).
fof(f334,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f58,f107]) ).
fof(f336,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f107]) ).
fof(f344,definition,
( spl0_17
<=> sk_c6 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f348,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f334,f105,f57,f344,f115]) ).
fof(f349,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f140,f117]) ).
fof(f351,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f349,f107]) ).
fof(f357,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f351,f75]) ).
fof(f361,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f140,f351]) ).
fof(f363,plain,
( identity = sk_c6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f361,f3]) ).
fof(f366,plain,
( spl0_15
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f363,f115,f105,f329]) ).
fof(f367,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_15 ),
inference(superposition,[],[f1,f330]) ).
fof(f368,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f68,f357]) ).
fof(f372,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f65,f357]) ).
fof(f373,plain,
( spl0_17
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f368,f115,f105,f74,f67,f344]) ).
fof(f377,plain,
( sk_c7 != sk_c7
| spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f372,f367]) ).
fof(f380,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f377]) ).
fof(f381,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f386,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f72,f107]) ).
fof(f389,plain,
( sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_5
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f386]) ).
fof(f390,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f389,f117]) ).
fof(f391,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f392,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f61,f107]) ).
fof(f393,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f61,f101]) ).
fof(f394,plain,
( sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f393]) ).
fof(f395,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f392]) ).
fof(f396,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f278,f357]) ).
fof(f397,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f396,f367]) ).
fof(f407,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f397,f336]) ).
fof(f413,plain,
( multiply(sk_c7,sk_c6) = sk_c1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f407,f330]) ).
fof(f415,plain,
( sk_c5 = sk_c1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f413,f75]) ).
fof(f417,plain,
( sk_c7 = sk_c1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f415,f357]) ).
fof(f419,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f395,f417]) ).
fof(f424,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f419,f351]) ).
fof(f425,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f429,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f394,f99,f60,f94]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f77]) ).
cnf(s2,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f82]) ).
cnf(s3,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f87]) ).
cnf(s4,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f92]) ).
cnf(s5,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f97]) ).
cnf(s6,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f102]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s10,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s11,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s12,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f112]) ).
cnf(s13,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f113]) ).
cnf(s14,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s16,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s17,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s18,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s19,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s20,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f124]) ).
cnf(s21,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f125]) ).
cnf(s22,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f126]) ).
cnf(s23,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f127]) ).
cnf(s24,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f128]) ).
cnf(s25,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f129]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f266]) ).
cnf(s29,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f274]) ).
cnf(s31,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f307]) ).
cnf(s36,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f333]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f348]) ).
cnf(s40,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f366]) ).
cnf(s42,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f373]) ).
cnf(s43,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f381]) ).
cnf(s47,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f391]) ).
cnf(s48,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f425]) ).
cnf(s49,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f429]) ).
cnf(s50,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(rat,[],[s40,s43]) ).
cnf(s51,plain,
spl0_3,
inference(rat,[],[s50,s13,s19,s25]) ).
cnf(s52,plain,
spl0_4,
inference(rat,[],[s29,s2,s3,s4,s5,s6,s51]) ).
cnf(s53,plain,
( spl0_13
| ~ spl0_5 ),
inference(rat,[],[s31,s14,s15,s16,s17,s18,s51,s52]) ).
cnf(s54,plain,
( ~ spl0_13
| ~ spl0_5 ),
inference(rat,[],[s31,s8,s9,s10,s11,s12,s47,s52,s51]) ).
cnf(s55,plain,
~ spl0_5,
inference(rat,[],[s54,s53]) ).
cnf(s56,plain,
spl0_6,
inference(rat,[],[s27,s20,s21,s22,s23,s24,s51]) ).
cnf(s57,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s49,s17,s18]) ).
cnf(s58,plain,
( ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s48,s40,s57,s52,s56]) ).
cnf(s59,plain,
~ spl0_2,
inference(rat,[],[s49,s11,s12,s58]) ).
cnf(s60,plain,
spl0_1,
inference(rat,[],[s1,s52,s51,s55,s56,s59]) ).
cnf(s61,plain,
spl0_13,
inference(rat,[],[s36,s14,s15,s16,s60]) ).
cnf(s62,plain,
~ spl0_12,
inference(rat,[],[s42,s39,s52,s56,s61,s60]) ).
cnf(s65,plain,
spl0_9,
inference(rat,[],[s10,s62]) ).
cnf(s66,plain,
spl0_8,
inference(rat,[],[s9,s62]) ).
cnf(s67,plain,
spl0_7,
inference(rat,[],[s8,s62]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s36,s67,s60,s65,s66]) ).
fof(f430,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP297-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:48:31 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/1.30 % (554718)Input is clausal, will run a generic CNF schedule.
% 3.16/1.30 % (554729)dis-21_1_sil=8000:lcm=predicate:random_seed=2928153111:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.16/1.30 % (554729)Refutation not found, incomplete strategy
% 3.16/1.30 % (554729)------------------------------
% 3.16/1.30 % (554729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.30 % (554729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.30 % (554729)CaDiCaL version: 2.1.3
% 3.16/1.30 % (554729)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.30 % (554729)Time elapsed: 0.001 s
% 3.16/1.30 % (554729)Peak memory usage: 88 MB
% 3.16/1.30 % (554729)Instructions burned: 1 (million)
% 3.16/1.30 % (554723)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=459518985:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.16/1.30 % (554726)lrs+10_1_sil=8000:sp=occurrence:random_seed=4124925185:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.16/1.30 % (554724)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=124497807:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.16/1.30 % (554725)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=628174242:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.16/1.30 % (554727)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=354461587:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.16/1.30 % (554728)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=663236337:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.16/1.30 % (554726)Refutation not found, incomplete strategy
% 3.16/1.30 % (554726)------------------------------
% 3.16/1.30 % (554726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.30 % (554726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.30 % (554726)CaDiCaL version: 2.1.3
% 3.16/1.30 % (554726)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.30 % (554726)Time elapsed: 0.003 s
% 3.16/1.30 % (554726)Peak memory usage: 88 MB
% 3.16/1.30 % (554726)Instructions burned: 4 (million)
% 3.16/1.30 % (554728)First to succeed.
% 3.16/1.30 % (554728)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-554718"
% 3.16/1.30 % (554727)Instruction limit reached!
% 3.16/1.30 % (554727)------------------------------
% 3.16/1.30 % (554727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.30 % (554727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.30 % (554727)CaDiCaL version: 2.1.3
% 3.16/1.30 % (554727)Termination reason: Instruction limit
% 3.16/1.30 % (554727)Termination phase: Saturation
% 3.16/1.30 % (554727)Time elapsed: 0.067 s
% 3.16/1.30 % (554727)Peak memory usage: 89 MB
% 3.16/1.30 % (554727)Instructions burned: 114 (million)
% 3.16/1.30 % (554729)------------------------------
% 3.16/1.30 % (554729)------------------------------
% 3.16/1.30 % (554737)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2759944702:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.16/1.30 % (554738)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1777228517:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.16/1.30 % (554738)Refutation not found, incomplete strategy
% 3.16/1.30 % (554738)------------------------------
% 3.16/1.30 % (554738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.30 % (554738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.30 % (554738)CaDiCaL version: 2.1.3
% 3.16/1.30 % (554738)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.30 % (554738)Time elapsed: 0.002 s
% 3.16/1.30 % (554738)Peak memory usage: 88 MB
% 3.16/1.30 % (554738)Instructions burned: 4 (million)
% 3.16/1.30 % (554737)Also succeeded, but the first one will report.
% 3.16/1.30 % (554726)------------------------------
% 3.16/1.30 % (554726)------------------------------
% 3.16/1.30 % (554728)Refutation found. Thanks to Tanya!
% 3.16/1.30 % SZS status Unsatisfiable for theBenchmark
% 3.16/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50 % (554728)------------------------------
% 0.17/1.50 % (554728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (554728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (554728)CaDiCaL version: 2.1.3
% 0.17/1.50 % (554728)Termination reason: Refutation
% 0.17/1.50 % (554728)Time elapsed: 0.014 s
% 0.17/1.50 % (554728)Peak memory usage: 89 MB
% 0.17/1.50 % (554728)Instructions burned: 19 (million)
% 0.17/1.50 % (554728)------------------------------
% 0.17/1.50 % (554728)------------------------------
% 0.17/1.50 % (554718)Success in time 0.446 s
% 0.17/1.50 % Vampire exiting
%------------------------------------------------------------------------------