%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP355-1 : 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 : n018.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 10:13:44 AM UTC 2026
% Result : Unsatisfiable 2.66s 1.26s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 39
% Syntax : Number of formulae : 227 ( 20 unt; 15 def)
% Number of atoms : 657 ( 221 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 797 ( 367 ~; 415 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 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_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f7]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c6 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c6) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(X2,sk_c6) != sk_c7
| inverse(X2) != sk_c6
| multiply(sk_c8,X3) != sk_c6
| multiply(X4,sk_c8) != X3
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c6) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2)
| sk_c6 != multiply(sk_c8,X3)
| multiply(X4,sk_c8) != X3
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,plain,
! [X2,X0,X1,X4] :
( multiply(sk_c7,sk_c6) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2)
| sk_c6 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f48]) ).
fof(f51,definition,
( spl0_1
<=> ! [X4] :
( sk_c6 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f52,plain,
( ! [X4] :
( sk_c6 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f55,plain,
( ! [X2] :
( sk_c6 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,definition,
( spl0_3
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f58,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c7 != multiply(X1,sk_c8) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_4
<=> multiply(sk_c7,sk_c6) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f61,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| spl0_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f49,f60,f57,f57,f54,f51]) ).
fof(f65,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f67,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f69,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f71,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f46,f69,f65]) ).
fof(f74,definition,
( spl0_7
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f76,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f44,f69,f74]) ).
fof(f79,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c8,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f81,plain,
( sk_c6 = multiply(sk_c8,sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f42,f69,f79]) ).
fof(f84,definition,
( spl0_9
<=> sk_c6 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f86,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f40,f69,f84]) ).
fof(f89,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f92,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f69,f89]) ).
fof(f94,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f96,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f36,f69,f94]) ).
fof(f99,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f101,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f69,f99]) ).
fof(f104,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f106,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f32,f104,f65]) ).
fof(f108,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f104,f74]) ).
fof(f109,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f104,f79]) ).
fof(f110,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f104,f84]) ).
fof(f111,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f104,f89]) ).
fof(f112,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f104,f94]) ).
fof(f113,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f104,f99]) ).
fof(f114,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f60,f65]) ).
fof(f115,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f60,f74]) ).
fof(f116,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f14,f60,f79]) ).
fof(f117,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f60,f84]) ).
fof(f119,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f60,f94]) ).
fof(f120,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f60,f99]) ).
fof(f121,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f3,f67]) ).
fof(f122,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_9 ),
inference(superposition,[],[f3,f86]) ).
fof(f123,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f3,f96]) ).
fof(f126,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f127,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| ~ spl0_8 ),
inference(superposition,[],[f4,f81]) ).
fof(f128,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f121]) ).
fof(f129,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_12 ),
inference(superposition,[],[f4,f101]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f76]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f128,f1]) ).
fof(f133,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f126,f1]) ).
fof(f138,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f123]) ).
fof(f139,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f138,f1]) ).
fof(f140,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f132,f76]) ).
fof(f146,plain,
( sk_c6 = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f140,f81]) ).
fof(f201,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_9 ),
inference(superposition,[],[f133,f122]) ).
fof(f203,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),multiply(sk_c6,X0))
| ~ spl0_8 ),
inference(superposition,[],[f133,f127]) ).
fof(f204,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f133,f123]) ).
fof(f206,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f133,f81]) ).
fof(f207,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_5 ),
inference(superposition,[],[f133,f121]) ).
fof(f208,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f133,f101]) ).
fof(f223,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f208,f96]) ).
fof(f224,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f206,f146]) ).
fof(f226,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),multiply(sk_c8,X0))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f203,f146]) ).
fof(f227,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f201,f146]) ).
fof(f232,plain,
( identity = sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f224,f3]) ).
fof(f233,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f226,f133]) ).
fof(f238,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f133,f223]) ).
fof(f240,plain,
( identity = sk_c7
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f238,f3]) ).
fof(f246,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f240,f232]) ).
fof(f249,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f204,f232]) ).
fof(f250,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f207,f232]) ).
fof(f259,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f227,f232]) ).
fof(f260,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f259,f246]) ).
fof(f261,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f249,f246]) ).
fof(f262,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f250,f246]) ).
fof(f269,plain,
( sk_c2 = sk_c3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f261,f260]) ).
fof(f280,plain,
( sk_c3 = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f262,f260]) ).
fof(f281,plain,
( sk_c2 = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f280,f269]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f131,f281]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,X0)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f282,f129]) ).
fof(f289,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f288,f233]) ).
fof(f303,plain,
( sk_c6 != sk_c8
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f62,f289]) ).
fof(f307,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f303,f146]) ).
fof(f308,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f312,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c2,sk_c8)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f58,f96]) ).
fof(f313,plain,
( sk_c7 != multiply(sk_c2,sk_c8)
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f315,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f313,f101]) ).
fof(f316,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f324,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f52,f146]) ).
fof(f326,plain,
( sk_c6 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c3,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f324,f86]) ).
fof(f332,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c3,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f326,f146]) ).
fof(f335,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f332,f269]) ).
fof(f336,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f335,f139]) ).
fof(f337,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f350,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f133,f106]) ).
fof(f352,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f350,f71]) ).
fof(f357,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f58,f71]) ).
fof(f358,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f357]) ).
fof(f360,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f358,f106]) ).
fof(f361,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f369,plain,
( sk_c6 != sk_c6
| sk_c7 != multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f55,f86]) ).
fof(f370,plain,
( sk_c6 != sk_c8
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f55,f71]) ).
fof(f371,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f369]) ).
fof(f374,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f371,f84,f54,f89]) ).
fof(f392,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f133,f352]) ).
fof(f394,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f392,f3]) ).
fof(f405,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f1,f394]) ).
fof(f446,plain,
( sk_c6 = sk_c8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f61,f405]) ).
fof(f454,definition,
( spl0_14
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f456,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| spl0_14 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f458,definition,
( spl0_15
<=> sk_c6 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f459,plain,
( sk_c6 = sk_c8
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f461,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f370,f69,f54,f458,f454]) ).
fof(f472,plain,
( spl0_15
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f446,f104,f69,f60,f458]) ).
fof(f482,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f456,f459]) ).
fof(f483,plain,
( $false
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f482,f106]) ).
fof(f484,plain,
( ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f485,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[],[f52,f459]) ).
fof(f490,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f485,f71]) ).
fof(f491,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f490]) ).
fof(f493,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f491,f106]) ).
fof(f497,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f493,f352]) ).
fof(f498,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f497]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f63]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f72]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f77]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f82]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f87]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f92]) ).
cnf(s8,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f97]) ).
cnf(s9,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f102]) ).
cnf(s10,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f107]) ).
cnf(s11,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f108]) ).
cnf(s12,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f109]) ).
cnf(s13,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f110]) ).
cnf(s14,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f111]) ).
cnf(s15,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f112]) ).
cnf(s16,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f113]) ).
cnf(s17,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f114]) ).
cnf(s18,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f115]) ).
cnf(s19,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f116]) ).
cnf(s20,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f117]) ).
cnf(s22,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s23,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s24,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f308]) ).
cnf(s25,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f316]) ).
cnf(s30,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f337]) ).
cnf(s32,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_13 ),
inference(sat_conversion,[],[f361]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f374]) ).
cnf(s37,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f461]) ).
cnf(s39,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f472]) ).
cnf(s41,plain,
( ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f484]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f498]) ).
cnf(s44,plain,
spl0_4,
inference(rat,[],[s24,s17,s18,s19,s20,s22,s23]) ).
cnf(s45,plain,
( spl0_6
| ~ spl0_3 ),
inference(rat,[],[s25,s8,s9]) ).
cnf(s46,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s25,s15,s16,s32]) ).
cnf(s47,plain,
~ spl0_3,
inference(rat,[],[s46,s45]) ).
cnf(s48,plain,
( spl0_6
| ~ spl0_2 ),
inference(rat,[],[s34,s6,s7]) ).
cnf(s49,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s41,s37,s39,s48,s44]) ).
cnf(s50,plain,
~ spl0_2,
inference(rat,[],[s34,s13,s14,s49]) ).
cnf(s51,plain,
spl0_1,
inference(rat,[],[s2,s44,s47,s50]) ).
cnf(s52,plain,
( ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s43,s39,s44,s51]) ).
cnf(s53,plain,
spl0_13,
inference(rat,[],[s13,s30,s10,s11,s12,s15,s16,s51]) ).
cnf(s54,plain,
~ spl0_6,
inference(rat,[],[s52,s53]) ).
cnf(s55,plain,
spl0_12,
inference(rat,[],[s9,s54]) ).
cnf(s56,plain,
spl0_11,
inference(rat,[],[s8,s54]) ).
cnf(s58,plain,
spl0_9,
inference(rat,[],[s6,s54]) ).
cnf(s59,plain,
spl0_8,
inference(rat,[],[s5,s54]) ).
cnf(s60,plain,
spl0_7,
inference(rat,[],[s4,s54]) ).
cnf(s61,plain,
spl0_5,
inference(rat,[],[s3,s54]) ).
cnf(s62,plain,
$false,
inference(rat,[],[s30,s55,s56,s61,s51,s59,s60,s58]) ).
fof(f499,plain,
$false,
inference(avatar_sat_refutation,[],[s62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP355-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:58:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/1.26 % (2091315)Input is clausal, will run a generic CNF schedule.
% 2.66/1.26 % (2091326)dis-21_1_sil=8000:lcm=predicate:random_seed=2052188795:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.66/1.26 % (2091326)Refutation not found, incomplete strategy
% 2.66/1.26 % (2091326)------------------------------
% 2.66/1.26 % (2091326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (2091326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (2091326)CaDiCaL version: 2.1.3
% 2.66/1.26 % (2091326)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.26 % (2091326)Time elapsed: 0.001 s
% 2.66/1.26 % (2091326)Peak memory usage: 88 MB
% 2.66/1.26 % (2091326)Instructions burned: 1 (million)
% 2.66/1.26 % (2091325)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2430566769:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.26 % (2091320)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=858291343:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.26 % (2091321)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=639158783:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.26 % (2091322)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1480337050:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.26 % (2091324)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=780601592:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.26 % (2091323)lrs+10_1_sil=8000:sp=occurrence:random_seed=797705194:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.26 % (2091325)First to succeed.
% 2.66/1.26 % (2091323)Refutation not found, incomplete strategy
% 2.66/1.26 % (2091323)------------------------------
% 2.66/1.26 % (2091323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (2091323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (2091323)CaDiCaL version: 2.1.3
% 2.66/1.26 % (2091323)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.26 % (2091323)Time elapsed: 0.003 s
% 2.66/1.26 % (2091323)Peak memory usage: 88 MB
% 2.66/1.26 % (2091323)Instructions burned: 3 (million)
% 2.66/1.26 % (2091325)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2091315"
% 2.66/1.26 % (2091324)Instruction limit reached!
% 2.66/1.26 % (2091324)------------------------------
% 2.66/1.26 % (2091324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (2091324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (2091324)CaDiCaL version: 2.1.3
% 2.66/1.26 % (2091324)Termination reason: Instruction limit
% 2.66/1.26 % (2091324)Termination phase: Saturation
% 2.66/1.26 % (2091324)Time elapsed: 0.067 s
% 2.66/1.26 % (2091324)Peak memory usage: 89 MB
% 2.66/1.26 % (2091324)Instructions burned: 115 (million)
% 2.66/1.26 % (2091326)------------------------------
% 2.66/1.26 % (2091326)------------------------------
% 2.66/1.26 % (2091336)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2643708045: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)
% 2.66/1.26 % (2091336)Refutation not found, incomplete strategy
% 2.66/1.26 % (2091336)------------------------------
% 2.66/1.26 % (2091336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (2091336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (2091336)CaDiCaL version: 2.1.3
% 2.66/1.26 % (2091336)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.26 % (2091336)Time elapsed: 0.002 s
% 2.66/1.26 % (2091336)Peak memory usage: 88 MB
% 2.66/1.26 % (2091336)Instructions burned: 4 (million)
% 2.66/1.26 % (2091335)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=1181949089:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.66/1.26 % (2091335)Refutation not found, incomplete strategy
% 2.66/1.26 % (2091335)------------------------------
% 2.66/1.26 % (2091335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (2091335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (2091335)CaDiCaL version: 2.1.3
% 2.66/1.26 % (2091335)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.26 % (2091335)Time elapsed: 0.008 s
% 2.66/1.26 % (2091335)Peak memory usage: 88 MB
% 2.66/1.26 % (2091335)Instructions burned: 13 (million)
% 2.66/1.26 % (2091323)------------------------------
% 2.66/1.26 % (2091323)------------------------------
% 2.66/1.26 % (2091325)Refutation found. Thanks to Tanya!
% 2.66/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.46 % (2091325)------------------------------
% 3.49/1.46 % (2091325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.46 % (2091325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.46 % (2091325)CaDiCaL version: 2.1.3
% 3.49/1.46 % (2091325)Termination reason: Refutation
% 3.49/1.46 % (2091325)Time elapsed: 0.015 s
% 3.49/1.46 % (2091325)Peak memory usage: 89 MB
% 3.49/1.46 % (2091325)Instructions burned: 20 (million)
% 3.49/1.46 % (2091325)------------------------------
% 3.49/1.46 % (2091325)------------------------------
% 3.49/1.46 % (2091315)Success in time 0.409 s
% 3.49/1.46 % Vampire exiting
%------------------------------------------------------------------------------