%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP385-1 : 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 : n005.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 10:13:49 AM UTC 2026
% Result : Unsatisfiable 1.10s 1.14s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 46
% Syntax : Number of formulae : 236 ( 23 unt; 19 def)
% Number of atoms : 699 ( 252 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 845 ( 382 ~; 444 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 49 !; 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,
inverse(sk_c10) = sk_c9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f18,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c4) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c4 = multiply(sk_c3,sk_c10) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f30]) ).
fof(f38,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c10,sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c9 = multiply(sk_c10,sk_c4) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c4 = multiply(sk_c3,sk_c10) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f42]) ).
fof(f50,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c10,sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c4) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c4 = multiply(sk_c3,sk_c10) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f58]) ).
fof(f66,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c10,sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c4) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c10 = inverse(sk_c1)
| sk_c4 = multiply(sk_c3,sk_c10) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f74]) ).
fof(f82,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f83,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f82]) ).
fof(f84,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(sk_c10) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| multiply(sk_c10,X0) != sk_c9
| multiply(X1,sk_c10) != X0
| inverse(X1) != sk_c10
| multiply(sk_c10,X2) != sk_c9
| multiply(X3,sk_c10) != X2
| inverse(X3) != sk_c10
| multiply(X4,X5) != sk_c8
| inverse(X4) != X5
| multiply(X5,sk_c9) != sk_c8
| inverse(X6) != sk_c10
| multiply(X6,sk_c8) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f87,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(sk_c10,X0)
| multiply(X1,sk_c10) != X0
| sk_c10 != inverse(X1)
| sk_c9 != multiply(sk_c10,X2)
| multiply(X3,sk_c10) != X2
| sk_c10 != inverse(X3)
| sk_c8 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c8 != multiply(X5,sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) ),
inference(reorient_equations,[],[f86]) ).
fof(f88,plain,
! [X2,X3,X1,X6,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c10 != inverse(X1)
| sk_c9 != multiply(sk_c10,X2)
| multiply(X3,sk_c10) != X2
| sk_c10 != inverse(X3)
| sk_c8 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c8 != multiply(X5,sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) ),
inference(equality_resolution,[],[f87]) ).
fof(f89,plain,
! [X3,X1,X6,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c10 != inverse(X1)
| sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c10 != inverse(X3)
| sk_c8 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c8 != multiply(X5,sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) ),
inference(equality_resolution,[],[f88]) ).
fof(f90,plain,
! [X3,X1,X6,X4] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c10 != inverse(X1)
| sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c10 != inverse(X3)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) ),
inference(equality_resolution,[],[f89]) ).
fof(f92,definition,
( spl0_1
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f93,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,definition,
( spl0_2
<=> ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f96,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,definition,
( spl0_3
<=> ! [X3] :
( sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f99,plain,
( ! [X3] :
( sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c10 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,definition,
( spl0_4
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f102,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_4 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f105,definition,
( spl0_5
<=> sk_c10 = multiply(sk_c9,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f109,definition,
( spl0_6
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f110,plain,
( inverse(sk_c10) = sk_c9
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f90,f109,f105,f101,f98,f98,f95,f92]) ).
fof(f114,definition,
( spl0_7
<=> sk_c10 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f116,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl0_8
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f120,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f85,f118,f114]) ).
fof(f123,definition,
( spl0_9
<=> sk_c10 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f125,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f83,f118,f123]) ).
fof(f133,definition,
( spl0_11
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f135,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f138,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f140,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f143,definition,
( spl0_13
<=> sk_c10 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f145,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f75,f118,f143]) ).
fof(f148,definition,
( spl0_14
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f150,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f73,f118,f148]) ).
fof(f153,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f155,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f71,f118,f153]) ).
fof(f158,definition,
( spl0_16
<=> sk_c2 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f160,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f69,f158,f114]) ).
fof(f162,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f67,f158,f123]) ).
fof(f166,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f59,f158,f143]) ).
fof(f167,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f57,f158,f148]) ).
fof(f168,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f55,f158,f153]) ).
fof(f170,definition,
( spl0_17
<=> sk_c9 = multiply(sk_c10,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f172,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f53,f170,f114]) ).
fof(f174,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f51,f170,f123]) ).
fof(f178,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f43,f170,f143]) ).
fof(f179,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f41,f170,f148]) ).
fof(f180,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f39,f170,f153]) ).
fof(f184,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f101,f133]) ).
fof(f185,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f29,f101,f138]) ).
fof(f186,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f101,f143]) ).
fof(f187,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f25,f101,f148]) ).
fof(f188,plain,
( spl0_15
| spl0_4 ),
inference(avatar_split_clause,[],[f23,f101,f153]) ).
fof(f189,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f105,f114]) ).
fof(f190,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f105,f123]) ).
fof(f197,plain,
spl0_6,
inference(avatar_split_clause,[],[f5,f109]) ).
fof(f198,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_6 ),
inference(superposition,[],[f3,f110]) ).
fof(f204,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f206,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f198]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f206,f1]) ).
fof(f212,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f204,f1]) ).
fof(f277,plain,
( sk_c10 = multiply(inverse(sk_c3),sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f212,f150]) ).
fof(f279,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f212,f140]) ).
fof(f284,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c10)
| ~ spl0_7 ),
inference(superposition,[],[f212,f116]) ).
fof(f289,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f284,f125]) ).
fof(f291,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f279,f135]) ).
fof(f293,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f277,f145]) ).
fof(f301,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f211,f289]) ).
fof(f305,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f301,f123,f114,f109,f105]) ).
fof(f310,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f212,f291]) ).
fof(f312,plain,
( identity = sk_c8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f310,f3]) ).
fof(f322,plain,
( sk_c10 = sk_c9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f293,f155]) ).
fof(f326,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f212,f293]) ).
fof(f328,plain,
( identity = sk_c4
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f326,f3]) ).
fof(f330,plain,
( sk_c8 = sk_c4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f328,f312]) ).
fof(f348,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f155,f330]) ).
fof(f349,plain,
( $false
| spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f348,f103]) ).
fof(f350,plain,
( spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f353,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f102,f322]) ).
fof(f356,plain,
( sk_c8 = multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f211,f353]) ).
fof(f360,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f356,f322]) ).
fof(f407,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_4 ),
inference(superposition,[],[f212,f102]) ).
fof(f409,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f407,f110]) ).
fof(f426,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_16 ),
inference(superposition,[],[f212,f160]) ).
fof(f428,plain,
( sk_c10 = multiply(sk_c10,sk_c2)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f426,f120]) ).
fof(f525,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| sk_c8 != multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f96,f110]) ).
fof(f544,definition,
( spl0_21
<=> sk_c8 = multiply(sk_c10,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f546,plain,
( sk_c8 != multiply(sk_c10,sk_c9)
| spl0_21 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f549,definition,
( spl0_22
<=> sk_c8 = multiply(sk_c9,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f550,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f552,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f525,f109,f95,f549,f544]) ).
fof(f567,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f409,f109,f101,f549]) ).
fof(f571,plain,
( sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f428,f172]) ).
fof(f592,plain,
( sk_c8 != multiply(sk_c10,sk_c10)
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| spl0_21 ),
inference(superposition,[],[f546,f571]) ).
fof(f593,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f550,f571]) ).
fof(f599,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(sk_c10,multiply(X3,sk_c10)) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f99,f571]) ).
fof(f609,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,multiply(sk_c1,sk_c10))
| ~ spl0_3
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f599,f120]) ).
fof(f610,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c1,sk_c10))
| ~ spl0_3
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f609]) ).
fof(f612,plain,
( sk_c10 != multiply(sk_c10,sk_c2)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f610,f160]) ).
fof(f614,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f612,f428]) ).
fof(f615,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f623,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c10,sk_c8)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f93,f110]) ).
fof(f624,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f93,f125]) ).
fof(f627,plain,
( sk_c10 != multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f624]) ).
fof(f628,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f627,f116]) ).
fof(f629,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f630,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f623,f571]) ).
fof(f631,plain,
( sk_c10 != sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f630,f102]) ).
fof(f632,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f631,f571]) ).
fof(f633,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f700,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(sk_c10,multiply(X3,sk_c10)) )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f99,f322]) ).
fof(f702,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f700,f145]) ).
fof(f708,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f702]) ).
fof(f719,plain,
( sk_c10 != multiply(sk_c10,sk_c4)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f708,f150]) ).
fof(f722,plain,
( sk_c10 != sk_c9
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f719,f155]) ).
fof(f726,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f722,f322]) ).
fof(f727,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f747,definition,
( spl0_27
<=> sk_c8 = multiply(sk_c10,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f769,plain,
( ~ spl0_27
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| spl0_21 ),
inference(avatar_split_clause,[],[f592,f544,f170,f158,f118,f747]) ).
fof(f770,plain,
( spl0_27
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f593,f549,f170,f158,f118,f747]) ).
fof(f773,plain,
( sk_c8 != multiply(sk_c10,sk_c10)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_21 ),
inference(forward_demodulation,[],[f546,f322]) ).
fof(f782,plain,
( spl0_27
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f360,f153,f148,f143,f109,f101,f747]) ).
fof(f803,plain,
( ~ spl0_27
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_21 ),
inference(avatar_split_clause,[],[f773,f544,f153,f148,f143,f747]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f112]) ).
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,[],[f121]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f126]) ).
cnf(s8,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f146]) ).
cnf(s9,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s10,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s11,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f161]) ).
cnf(s12,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f162]) ).
cnf(s16,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f166]) ).
cnf(s17,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f167]) ).
cnf(s18,plain,
( spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s19,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f173]) ).
cnf(s20,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f174]) ).
cnf(s24,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f178]) ).
cnf(s25,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f179]) ).
cnf(s26,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f180]) ).
cnf(s30,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f184]) ).
cnf(s31,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f185]) ).
cnf(s32,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f186]) ).
cnf(s33,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f187]) ).
cnf(s34,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f188]) ).
cnf(s35,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f189]) ).
cnf(s36,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f190]) ).
cnf(s43,plain,
spl0_6,
inference(sat_conversion,[],[f197]) ).
cnf(s44,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f305]) ).
cnf(s46,plain,
( spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f350]) ).
cnf(s64,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f552]) ).
cnf(s66,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_22 ),
inference(sat_conversion,[],[f567]) ).
cnf(s70,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f615]) ).
cnf(s72,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f629]) ).
cnf(s73,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f633]) ).
cnf(s78,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f727]) ).
cnf(s92,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f769]) ).
cnf(s93,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22
| spl0_27 ),
inference(sat_conversion,[],[f770]) ).
cnf(s98,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_27 ),
inference(sat_conversion,[],[f782]) ).
cnf(s109,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f803]) ).
cnf(s125,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s2,s43]) ).
cnf(s126,plain,
spl0_4,
inference(rat,[],[s46,s30,s31,s32,s33,s34]) ).
cnf(s127,plain,
spl0_22,
inference(rat,[],[s66,s43,s126]) ).
cnf(s128,plain,
spl0_5,
inference(rat,[],[s44,s35,s36,s43]) ).
cnf(s129,plain,
( spl0_8
| ~ spl0_3 ),
inference(rat,[],[s78,s8,s9,s10]) ).
cnf(s130,plain,
( spl0_15
| ~ spl0_3 ),
inference(rat,[],[s70,s18,s26,s129]) ).
cnf(s131,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s70,s17,s25,s129]) ).
cnf(s132,plain,
~ spl0_3,
inference(rat,[],[s70,s16,s24,s78,s131,s130,s129]) ).
cnf(s133,plain,
( spl0_15
| ~ spl0_8
| spl0_21 ),
inference(rat,[],[s92,s93,s18,s26,s127]) ).
cnf(s134,plain,
( ~ spl0_15
| ~ spl0_14
| ~ spl0_13
| spl0_21 ),
inference(rat,[],[s98,s109,s126,s43]) ).
cnf(s135,plain,
( spl0_14
| ~ spl0_8
| spl0_21 ),
inference(rat,[],[s92,s93,s17,s25,s127]) ).
cnf(s136,plain,
( ~ spl0_8
| spl0_21 ),
inference(rat,[],[s92,s93,s16,s24,s134,s135,s133,s127]) ).
cnf(s137,plain,
spl0_21,
inference(rat,[],[s134,s8,s9,s10,s136]) ).
cnf(s138,plain,
~ spl0_2,
inference(rat,[],[s64,s127,s43,s137]) ).
cnf(s139,plain,
spl0_1,
inference(rat,[],[s125,s128,s126,s132,s138]) ).
cnf(s141,plain,
spl0_17,
inference(rat,[],[s72,s19,s20,s139]) ).
cnf(s142,plain,
spl0_16,
inference(rat,[],[s72,s11,s12,s139]) ).
cnf(s143,plain,
~ spl0_8,
inference(rat,[],[s73,s141,s139,s126,s43,s142]) ).
cnf(s150,plain,
spl0_9,
inference(rat,[],[s4,s143]) ).
cnf(s151,plain,
spl0_7,
inference(rat,[],[s3,s143]) ).
cnf(s155,plain,
$false,
inference(rat,[],[s72,s139,s150,s151]) ).
fof(f817,plain,
$false,
inference(avatar_sat_refutation,[],[s155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP385-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 10:00:16 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 1.10/1.14 % (3752335)Input is clausal, will run a generic CNF schedule.
% 1.10/1.14 % (3752345)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=628763108:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.10/1.14 % (3752345)First to succeed.
% 1.10/1.14 % (3752345)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3752335"
% 1.10/1.14 % (3752340)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=3489247004:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.10/1.14 % (3752343)lrs+10_1_sil=8000:sp=occurrence:random_seed=1190562561:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.10/1.14 % (3752342)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2443546087:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.10/1.14 % (3752341)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1898135357:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.10/1.14 % (3752346)dis-21_1_sil=8000:lcm=predicate:random_seed=3683789182: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)
% 1.10/1.14 % (3752344)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1188763427:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.10/1.14 % (3752346)Refutation not found, incomplete strategy
% 1.10/1.14 % (3752346)------------------------------
% 1.10/1.14 % (3752346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.10/1.14 % (3752346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/1.14 % (3752346)CaDiCaL version: 2.1.3
% 1.10/1.14 % (3752346)Termination reason: Refutation not found, incomplete strategy
% 1.10/1.14 % (3752346)Time elapsed: 0.002 s
% 1.10/1.14 % (3752346)Peak memory usage: 88 MB
% 1.10/1.14 % (3752346)Instructions burned: 2 (million)
% 1.10/1.14 % (3752343)Refutation not found, incomplete strategy
% 1.10/1.14 % (3752343)------------------------------
% 1.10/1.14 % (3752343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.10/1.14 % (3752343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/1.14 % (3752343)CaDiCaL version: 2.1.3
% 1.10/1.14 % (3752343)Termination reason: Refutation not found, incomplete strategy
% 1.10/1.14 % (3752343)Time elapsed: 0.004 s
% 1.10/1.14 % (3752343)Peak memory usage: 88 MB
% 1.10/1.14 % (3752343)Instructions burned: 5 (million)
% 1.10/1.14 % (3752344)Instruction limit reached!
% 1.10/1.14 % (3752344)------------------------------
% 1.10/1.14 % (3752344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.10/1.14 % (3752344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/1.14 % (3752344)CaDiCaL version: 2.1.3
% 1.10/1.14 % (3752344)Termination reason: Instruction limit
% 1.10/1.14 % (3752344)Termination phase: Saturation
% 1.10/1.14 % (3752344)Time elapsed: 0.067 s
% 1.10/1.14 % (3752344)Peak memory usage: 89 MB
% 1.10/1.14 % (3752344)Instructions burned: 114 (million)
% 1.10/1.14 % (3752345)Refutation found. Thanks to Tanya!
% 1.10/1.14 % SZS status Unsatisfiable for theBenchmark
% 1.10/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/1.34 % (3752345)------------------------------
% 2.76/1.34 % (3752345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.34 % (3752345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.34 % (3752345)CaDiCaL version: 2.1.3
% 2.76/1.34 % (3752345)Termination reason: Refutation
% 2.76/1.34 % (3752345)Time elapsed: 0.010 s
% 2.76/1.34 % (3752345)Peak memory usage: 90 MB
% 2.76/1.34 % (3752345)Instructions burned: 27 (million)
% 2.76/1.34 % (3752345)------------------------------
% 2.76/1.34 % (3752345)------------------------------
% 2.76/1.34 % (3752335)Success in time 0.305 s
% 2.76/1.34 % Vampire exiting
%------------------------------------------------------------------------------