%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP276-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 10:13:31 AM UTC 2026
% Result : Unsatisfiable 0.55s 0.98s
% Output : Refutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 48
% Syntax : Number of formulae : 250 ( 13 unt; 16 def)
% Number of atoms : 701 ( 237 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 798 ( 347 ~; 435 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f33,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(X1) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| inverse(X2) != sk_c7
| inverse(sk_c7) != sk_c5
| multiply(X3,sk_c5) != sk_c6
| inverse(X3) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c5 != inverse(sk_c7)
| sk_c6 != multiply(X3,sk_c5)
| sk_c5 != inverse(X3) ),
inference(reorient_equations,[],[f65]) ).
fof(f68,definition,
( spl0_1
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c5)
| sk_c5 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f69,plain,
( ! [X3] :
( sk_c5 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_2
<=> sk_c5 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f72,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( sk_c5 != inverse(sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f75,definition,
( spl0_3
<=> ! [X2] :
( sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c6 != multiply(X2,sk_c7) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,definition,
( spl0_4
<=> sk_c7 = multiply(sk_c6,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( sk_c7 != multiply(sk_c6,sk_c5)
| spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_5
<=> ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_6
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f86,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f66,f75,f85,f82,f78,f75,f71,f68]) ).
fof(f90,definition,
( spl0_7
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f94,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f64,f94,f90]) ).
fof(f99,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f94,f99]) ).
fof(f103,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f60,f94,f71]) ).
fof(f105,definition,
( spl0_10
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f107,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f58,f94,f105]) ).
fof(f110,definition,
( spl0_11
<=> sk_c6 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f112,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f56,f94,f110]) ).
fof(f114,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f54,f94,f78]) ).
fof(f116,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f118,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f52,f116,f90]) ).
fof(f120,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f50,f116,f99]) ).
fof(f121,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f48,f116,f71]) ).
fof(f122,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f46,f116,f105]) ).
fof(f123,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f44,f116,f110]) ).
fof(f124,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f116,f78]) ).
fof(f125,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f40,f85,f90]) ).
fof(f126,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f85,f99]) ).
fof(f127,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f36,f85,f71]) ).
fof(f128,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f85,f105]) ).
fof(f132,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f132,f90]) ).
fof(f136,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f132,f99]) ).
fof(f137,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f132,f71]) ).
fof(f138,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f132,f105]) ).
fof(f139,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f132,f110]) ).
fof(f140,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f132,f78]) ).
fof(f142,definition,
( spl0_14
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f144,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f142,f90]) ).
fof(f146,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f14,f142,f99]) ).
fof(f147,plain,
( spl0_2
| spl0_14 ),
inference(avatar_split_clause,[],[f12,f142,f71]) ).
fof(f148,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f10,f142,f105]) ).
fof(f149,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f8,f142,f110]) ).
fof(f150,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f6,f142,f78]) ).
fof(f151,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f3,f72]) ).
fof(f153,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f3,f107]) ).
fof(f155,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f157,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_11 ),
inference(superposition,[],[f4,f112]) ).
fof(f161,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f155,f1]) ).
fof(f163,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_2 ),
inference(superposition,[],[f4,f151]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f163,f1]) ).
fof(f173,plain,
( sk_c3 = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f164,f153]) ).
fof(f213,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_4 ),
inference(superposition,[],[f161,f79]) ).
fof(f214,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f161,f101]) ).
fof(f220,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f214,f92]) ).
fof(f226,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f161,f220]) ).
fof(f228,plain,
( identity = sk_c6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f226,f3]) ).
fof(f237,plain,
( sk_c3 = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f173,f228]) ).
fof(f239,plain,
( sk_c5 = sk_c3
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f237,f220]) ).
fof(f244,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f153,f239]) ).
fof(f247,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f244,f228]) ).
fof(f251,plain,
( spl0_6
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f247,f105,f99,f90,f71,f85]) ).
fof(f253,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c3,sk_c6)
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f157,f86]) ).
fof(f254,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f161,f86]) ).
fof(f257,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f253,f239]) ).
fof(f258,plain,
( sk_c5 = multiply(sk_c6,sk_c5)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f257,f220]) ).
fof(f259,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f258,f79]) ).
fof(f275,plain,
( sk_c7 != sk_c5
| sk_c7 != multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f83,f72]) ).
fof(f277,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c6)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f83,f107]) ).
fof(f278,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| ~ spl0_5
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f277]) ).
fof(f279,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f278,f239]) ).
fof(f282,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f279,f220]) ).
fof(f285,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f282,f259]) ).
fof(f286,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f297,plain,
( sk_c7 != sk_c5
| sk_c6 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f76,f72]) ).
fof(f299,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f76,f107]) ).
fof(f300,plain,
( sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f299]) ).
fof(f301,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f300,f112]) ).
fof(f302,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f311,definition,
( spl0_16
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f312,plain,
( sk_c7 = sk_c5
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f316,definition,
( spl0_17
<=> sk_c6 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f317,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f319,plain,
( ~ spl0_17
| ~ spl0_16
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f297,f75,f71,f311,f316]) ).
fof(f322,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_12 ),
inference(superposition,[],[f3,f118]) ).
fof(f331,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f161,f96]) ).
fof(f333,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f331,f118]) ).
fof(f334,plain,
( spl0_17
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f333,f116,f94,f316]) ).
fof(f335,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f161,f144]) ).
fof(f337,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f335,f134]) ).
fof(f339,plain,
( sk_c5 != sk_c5
| sk_c6 != multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f69,f72]) ).
fof(f343,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f339]) ).
fof(f346,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f343,f86]) ).
fof(f347,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f349,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_17 ),
inference(superposition,[],[f161,f317]) ).
fof(f350,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f317]) ).
fof(f363,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f161,f337]) ).
fof(f365,plain,
( identity = sk_c6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f363,f3]) ).
fof(f398,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6)
| ~ spl0_17 ),
inference(superposition,[],[f350,f317]) ).
fof(f401,plain,
( multiply(sk_c7,identity) = multiply(sk_c6,sk_c2)
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f350,f322]) ).
fof(f406,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c2)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f401,f365]) ).
fof(f409,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f398,f337]) ).
fof(f413,plain,
( sk_c7 = multiply(sk_c6,sk_c2)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f406,f337]) ).
fof(f423,plain,
( sk_c2 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f161,f413]) ).
fof(f425,plain,
( sk_c5 = sk_c2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f423,f213]) ).
fof(f435,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f118,f425]) ).
fof(f456,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f254,f349]) ).
fof(f470,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f456,f316,f85,f311]) ).
fof(f480,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f435,f312]) ).
fof(f509,plain,
( sk_c7 != sk_c5
| spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f73,f480]) ).
fof(f515,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f509,f312]) ).
fof(f516,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f520,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f80,f312]) ).
fof(f530,plain,
( $false
| spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f520,f409]) ).
fof(f531,plain,
( spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f538,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f275,f312]) ).
fof(f553,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f538,f337]) ).
fof(f554,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f553]) ).
cnf(s1,plain,
( spl0_3
| ~ spl0_2
| spl0_1
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f88]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f97]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s5,plain,
( spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f103]) ).
cnf(s6,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f113]) ).
cnf(s8,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f114]) ).
cnf(s9,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f119]) ).
cnf(s10,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s11,plain,
( spl0_2
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s12,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f122]) ).
cnf(s13,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f123]) ).
cnf(s14,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s15,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f125]) ).
cnf(s16,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f126]) ).
cnf(s17,plain,
( spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f127]) ).
cnf(s18,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f128]) ).
cnf(s21,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s22,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s23,plain,
( spl0_2
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s24,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s25,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s26,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s27,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s28,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s29,plain,
( spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s30,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s31,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s32,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s34,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f251]) ).
cnf(s36,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f286]) ).
cnf(s38,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f302]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f319]) ).
cnf(s42,plain,
( ~ spl0_8
| ~ spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f334]) ).
cnf(s44,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f347]) ).
cnf(s49,plain,
( ~ spl0_6
| spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f470]) ).
cnf(s57,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f516]) ).
cnf(s59,plain,
( spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f531]) ).
cnf(s61,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f554]) ).
cnf(s62,plain,
spl0_2,
inference(rat,[],[s57,s59,s49,s42,s5,s11,s17,s23,s29]) ).
cnf(s63,plain,
spl0_6,
inference(rat,[],[s34,s15,s16,s18,s62]) ).
cnf(s64,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s49,s42,s61,s13,s25,s31,s63,s62]) ).
cnf(s65,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s49,s42,s61,s12,s24,s30,s63,s62]) ).
cnf(s66,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s49,s42,s61,s10,s22,s28,s36,s65,s64,s63,s62]) ).
cnf(s67,plain,
( ~ spl0_7
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s36,s4,s6,s7,s66,s63,s62]) ).
cnf(s68,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s49,s42,s61,s3,s9,s21,s27,s67,s62,s63]) ).
cnf(s69,plain,
( ~ spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s68,s2,s63,s62]) ).
cnf(s70,plain,
spl0_4,
inference(rat,[],[s59,s49,s42,s8,s14,s26,s32,s63]) ).
cnf(s72,plain,
( ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s40,s49,s62,s63]) ).
cnf(s73,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s38,s12,s13]) ).
cnf(s74,plain,
~ spl0_3,
inference(rat,[],[s38,s6,s7,s42,s73,s72]) ).
cnf(s75,plain,
~ spl0_1,
inference(rat,[],[s44,s62,s63]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s69,s75,s74,s70]) ).
fof(f555,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP276-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.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 09:44:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.98 % (707738)Input is clausal, will run a generic CNF schedule.
% 0.55/0.98 % (707788)lrs+10_1_sil=8000:sp=occurrence:random_seed=2173910684:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 0.55/0.98 % (707791)dis-21_1_sil=8000:lcm=predicate:random_seed=2779627745:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 0.55/0.98 % (707790)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=418459845:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 0.55/0.98 % (707786)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2998888936:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 0.55/0.98 % (707789)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2845285514:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 0.55/0.98 % (707785)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=1985322401:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 0.55/0.98 % (707787)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3520287863:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 0.55/0.98 % (707791)Refutation not found, incomplete strategy
% 0.55/0.98 % (707791)------------------------------
% 0.55/0.98 % (707791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.55/0.98 % (707791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.98 % (707791)CaDiCaL version: 2.1.3
% 0.55/0.98 % (707791)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.98 % (707791)Time elapsed: 0.002 s
% 0.55/0.98 % (707791)Peak memory usage: 88 MB
% 0.55/0.98 % (707791)Instructions burned: 1 (million)
% 0.55/0.98 % (707788)Refutation not found, incomplete strategy
% 0.55/0.98 % (707788)------------------------------
% 0.55/0.98 % (707788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.55/0.98 % (707788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.98 % (707788)CaDiCaL version: 2.1.3
% 0.55/0.98 % (707788)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.98 % (707788)Time elapsed: 0.002 s
% 0.55/0.98 % (707788)Peak memory usage: 88 MB
% 0.55/0.98 % (707788)Instructions burned: 2 (million)
% 0.55/0.98 % (707790)First to succeed.
% 0.55/0.98 % (707790)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-707738"
% 0.55/0.98 % (707789)Instruction limit reached!
% 0.55/0.98 % (707789)------------------------------
% 0.55/0.98 % (707789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.55/0.98 % (707789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.98 % (707789)CaDiCaL version: 2.1.3
% 0.55/0.98 % (707789)Termination reason: Instruction limit
% 0.55/0.98 % (707789)Termination phase: Saturation
% 0.55/0.98 % (707789)Time elapsed: 0.065 s
% 0.55/0.98 % (707789)Peak memory usage: 89 MB
% 0.55/0.98 % (707789)Instructions burned: 114 (million)
% 0.55/0.98 % (707799)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=3893202927:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.55/0.98 % (707799)Refutation not found, incomplete strategy
% 0.55/0.98 % (707799)------------------------------
% 0.55/0.98 % (707799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.55/0.98 % (707799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.98 % (707799)CaDiCaL version: 2.1.3
% 0.55/0.98 % (707799)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.98 % (707799)Time elapsed: 0.003 s
% 0.55/0.98 % (707799)Peak memory usage: 88 MB
% 0.55/0.98 % (707799)Instructions burned: 2 (million)
% 0.55/0.98 % (707790)Refutation found. Thanks to Tanya!
% 0.55/0.98 % SZS status Unsatisfiable for theBenchmark
% 0.55/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.90/1.16 % (707790)------------------------------
% 2.90/1.16 % (707790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.16 % (707790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.16 % (707790)CaDiCaL version: 2.1.3
% 2.90/1.16 % (707790)Termination reason: Refutation
% 2.90/1.16 % (707790)Time elapsed: 0.014 s
% 2.90/1.16 % (707790)Peak memory usage: 89 MB
% 2.90/1.16 % (707790)Instructions burned: 21 (million)
% 2.90/1.16 % (707790)------------------------------
% 2.90/1.16 % (707790)------------------------------
% 2.90/1.16 % (707738)Success in time 0.349 s
% 2.90/1.16 % Vampire exiting
%------------------------------------------------------------------------------