%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP435-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 10:14:00 AM UTC 2026
% Result : Unsatisfiable 4.81s 1.73s
% Output : Refutation 6.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 11
% Syntax : Number of formulae : 106 ( 89 unt; 9 def)
% Number of atoms : 139 ( 90 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 65 ( 32 ~; 28 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 220 ( 0 sgn 220 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f3,definition,
sF0 = multiply(a3,b3),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
multiply(a3,b3) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = multiply(sF0,c3),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
multiply(sF0,c3) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = multiply(b3,c3),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
multiply(b3,c3) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = multiply(a3,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
multiply(a3,sF2) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
sF1 != sF3,
inference(definition_folding,[],[f2,f10,f8,f6,f4]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X4,inverse(X4)))),
inference(superposition,[],[f1,f1]) ).
fof(f15,definition,
( spl4_1
<=> multiply(a3,sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f17,plain,
( multiply(a3,sF2) = sF3
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,plain,
spl4_1,
inference(avatar_split_clause,[],[f10,f15]) ).
fof(f20,definition,
( spl4_2
<=> multiply(sF0,c3) = sF1 ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f22,plain,
( multiply(sF0,c3) = sF1
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f23,plain,
spl4_2,
inference(avatar_split_clause,[],[f6,f20]) ).
fof(f25,definition,
( spl4_3
<=> multiply(a3,b3) = sF0 ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f27,plain,
( multiply(a3,b3) = sF0
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,plain,
spl4_3,
inference(avatar_split_clause,[],[f4,f25]) ).
fof(f31,definition,
( spl4_4
<=> multiply(b3,c3) = sF2 ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f33,plain,
( multiply(b3,c3) = sF2
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,plain,
spl4_4,
inference(avatar_split_clause,[],[f8,f31]) ).
fof(f52,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[],[f12,f12]) ).
fof(f55,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X4,X5)) = inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3))))),X4),X5),multiply(X6,inverse(X6)))),
inference(superposition,[],[f1,f12]) ).
fof(f56,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(X4)) = inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),multiply(X1,multiply(inverse(multiply(multiply(X2,X3),X1)),X2))),X3),multiply(X5,inverse(X5)))),
inference(superposition,[],[f1,f12]) ).
fof(f79,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X2)),X1),inverse(X1)),multiply(X3,inverse(X3)))) = X2,
inference(superposition,[],[f1,f52]) ).
fof(f81,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f52]) ).
fof(f83,definition,
( spl4_5
<=> sF1 = sF3 ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f85,plain,
( sF1 != sF3
| spl4_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
~ spl4_5,
inference(avatar_split_clause,[],[f11,f83]) ).
fof(f95,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X4,inverse(X4))) = inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3))))),X5),inverse(X5)),multiply(X6,inverse(X6)))),
inference(superposition,[],[f79,f12]) ).
fof(f115,plain,
! [X4,X5] : inverse(multiply(X4,inverse(X4))) = inverse(multiply(X5,inverse(X5))),
inference(forward_demodulation,[],[f95,f55]) ).
fof(f156,plain,
! [X2,X0,X1] : multiply(X1,inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f52,f115]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X3))))),multiply(X4,inverse(X4)))) = X3,
inference(superposition,[],[f79,f156]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(X0,inverse(X0))),X3)),inverse(X3)),multiply(X4,inverse(X4)))),
inference(superposition,[],[f12,f156]) ).
fof(f229,plain,
! [X3,X0,X1] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X3),inverse(X3))),
inference(forward_demodulation,[],[f215,f81]) ).
fof(f290,plain,
! [X2,X3,X0,X1] : inverse(X2) = inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f229]) ).
fof(f308,plain,
! [X2,X3] : inverse(inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X3))))) = X3,
inference(backward_demodulation,[],[f213,f290]) ).
fof(f406,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),X3)) = inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X3),multiply(X4,inverse(X4)))),
inference(superposition,[],[f81,f156]) ).
fof(f408,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(X1,inverse(X1)))),X2)) = inverse(multiply(multiply(multiply(X0,inverse(X0)),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f81,f52]) ).
fof(f436,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2))))),X0),X1)),
inference(superposition,[],[f12,f81]) ).
fof(f456,plain,
! [X2,X3] : inverse(X3) = inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),X3)),
inference(forward_demodulation,[],[f406,f290]) ).
fof(f460,plain,
! [X2,X3,X0] : inverse(X2) = inverse(multiply(multiply(multiply(X0,inverse(X0)),X2),multiply(X3,inverse(X3)))),
inference(backward_demodulation,[],[f408,f456]) ).
fof(f491,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),X1),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f81,f456]) ).
fof(f595,plain,
! [X3,X0,X1] : inverse(inverse(inverse(inverse(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),inverse(X1))),X3))))) = X3,
inference(superposition,[],[f308,f229]) ).
fof(f925,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X2,inverse(X2)))),multiply(X3,inverse(X3)))),
inference(superposition,[],[f436,f229]) ).
fof(f950,plain,
! [X2,X0,X1,X4] : inverse(inverse(inverse(inverse(multiply(inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2))))),X0),X1)),X4))))) = X4,
inference(superposition,[],[f308,f436]) ).
fof(f952,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2))))),X0),X1)))),
inference(superposition,[],[f460,f436]) ).
fof(f953,plain,
! [X2,X3,X0,X1,X5] : inverse(X3) = inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2))))),X0),X1)),X3),multiply(X5,inverse(X5)))),
inference(superposition,[],[f460,f436]) ).
fof(f977,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X3)))))),X1),multiply(X4,inverse(X4)))) = X2,
inference(superposition,[],[f1,f436]) ).
fof(f1016,plain,
! [X2,X1] : multiply(X1,inverse(X1)) = inverse(inverse(multiply(X2,inverse(X2)))),
inference(forward_demodulation,[],[f925,f460]) ).
fof(f1125,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(multiply(X0,inverse(X0)),X1)),
inference(superposition,[],[f456,f1016]) ).
fof(f1137,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X1,inverse(X1)),X2)),inverse(multiply(X3,inverse(X3)))),multiply(X0,inverse(X0))),multiply(X4,inverse(X4)))) = X2,
inference(superposition,[],[f79,f1016]) ).
fof(f1158,plain,
! [X2,X3,X1] : inverse(multiply(multiply(multiply(inverse(X2),X1),inverse(X1)),multiply(X3,inverse(X3)))) = X2,
inference(backward_demodulation,[],[f79,f1125]) ).
fof(f1185,plain,
! [X3] : inverse(inverse(inverse(inverse(X3)))) = X3,
inference(backward_demodulation,[],[f308,f1125]) ).
fof(f1246,plain,
! [X2,X3,X0,X4] : inverse(multiply(multiply(multiply(inverse(X2),inverse(multiply(X3,inverse(X3)))),multiply(X0,inverse(X0))),multiply(X4,inverse(X4)))) = X2,
inference(backward_demodulation,[],[f1137,f1125]) ).
fof(f1311,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),X1),X2),multiply(X3,inverse(X3)))),
inference(backward_demodulation,[],[f491,f1185]) ).
fof(f1326,plain,
! [X3,X0,X1] : multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),inverse(X1))),X3) = X3,
inference(backward_demodulation,[],[f595,f1185]) ).
fof(f1327,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2))))),X0),X1)),X4) = X4,
inference(backward_demodulation,[],[f950,f1185]) ).
fof(f1355,plain,
! [X3,X5] : inverse(X3) = inverse(multiply(X3,multiply(X5,inverse(X5)))),
inference(backward_demodulation,[],[f953,f1327]) ).
fof(f1380,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X3))))),X1)) = X2,
inference(backward_demodulation,[],[f977,f1311]) ).
fof(f1383,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(X4)) = inverse(multiply(multiply(X1,multiply(inverse(multiply(multiply(X2,X3),X1)),X2)),X3)),
inference(backward_demodulation,[],[f56,f1311]) ).
fof(f1449,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1)) = X2,
inference(backward_demodulation,[],[f1,f1355]) ).
fof(f1509,plain,
! [X2,X0,X1] : inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),X2)),
inference(backward_demodulation,[],[f1311,f1355]) ).
fof(f1535,plain,
! [X2,X3,X0] : inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,inverse(X3)))),multiply(X0,inverse(X0)))) = X2,
inference(backward_demodulation,[],[f1246,f1355]) ).
fof(f1537,plain,
! [X2,X1] : inverse(multiply(multiply(inverse(X2),X1),inverse(X1))) = X2,
inference(backward_demodulation,[],[f1158,f1355]) ).
fof(f1638,plain,
! [X3,X0] : multiply(multiply(X0,inverse(X0)),X3) = X3,
inference(backward_demodulation,[],[f1326,f1537]) ).
fof(f1658,plain,
! [X2,X3] : inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(X3))))) = X2,
inference(forward_demodulation,[],[f1535,f1355]) ).
fof(f1690,plain,
! [X2,X3,X0,X1] : inverse(X3) = inverse(multiply(X3,inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2))))),X0),X1)))),
inference(backward_demodulation,[],[f952,f1509]) ).
fof(f1851,plain,
! [X2,X3] : inverse(X3) = inverse(multiply(X3,inverse(multiply(X2,inverse(X2))))),
inference(forward_demodulation,[],[f1690,f1449]) ).
fof(f1993,plain,
! [X2,X1] : inverse(multiply(inverse(multiply(X1,X2)),X1)) = X2,
inference(backward_demodulation,[],[f1380,f1851]) ).
fof(f2006,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(backward_demodulation,[],[f1658,f1851]) ).
fof(f2315,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(superposition,[],[f2006,f1993]) ).
fof(f2355,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))),
inference(superposition,[],[f2315,f2315]) ).
fof(f2368,plain,
! [X0,X1] : inverse(X1) = multiply(X0,inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f2355,f2006]) ).
fof(f2467,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f2315,f1537]) ).
fof(f2496,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f2467,f2006]) ).
fof(f2568,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[],[f2496,f2006]) ).
fof(f2683,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f2315,f2568]) ).
fof(f2971,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(multiply(X0,inverse(X0)),multiply(X2,multiply(inverse(multiply(multiply(X3,X1),X2)),X3))),
inference(superposition,[],[f2315,f1383]) ).
fof(f3004,plain,
! [X2,X3,X1] : inverse(X1) = multiply(X2,multiply(inverse(multiply(multiply(X3,X1),X2)),X3)),
inference(forward_demodulation,[],[f2971,f1638]) ).
fof(f3203,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(multiply(inverse(multiply(multiply(X2,X0),multiply(X3,X1))),X2),multiply(inverse(inverse(X0)),X3)),
inference(superposition,[],[f3004,f3004]) ).
fof(f3210,plain,
! [X2,X0,X1] : multiply(inverse(X1),inverse(X0)) = multiply(inverse(multiply(multiply(X2,X0),X1)),X2),
inference(superposition,[],[f2568,f3004]) ).
fof(f3223,plain,
! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(multiply(multiply(X2,X0),X1)),X2),
inference(forward_demodulation,[],[f3210,f2683]) ).
fof(f3230,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(multiply(inverse(multiply(multiply(X2,X0),multiply(X3,X1))),X2),multiply(X0,X3)),
inference(forward_demodulation,[],[f3203,f2006]) ).
fof(f3268,plain,
! [X3,X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,multiply(X3,X1))),multiply(X0,X3)),
inference(forward_demodulation,[],[f3230,f3223]) ).
fof(f3502,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X1,multiply(X2,X0)))) = multiply(multiply(X1,X2),inverse(inverse(X0))),
inference(superposition,[],[f2368,f3268]) ).
fof(f3505,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = inverse(inverse(multiply(X1,multiply(X2,X0)))),
inference(forward_demodulation,[],[f3502,f2006]) ).
fof(f3553,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f3505,f2006]) ).
fof(f3686,plain,
( ! [X0] : multiply(sF0,X0) = multiply(a3,multiply(b3,X0))
| ~ spl4_3 ),
inference(superposition,[],[f3553,f27]) ).
fof(f3747,plain,
( multiply(sF0,c3) = multiply(a3,sF2)
| ~ spl4_3
| ~ spl4_4 ),
inference(superposition,[],[f3686,f33]) ).
fof(f3768,plain,
( multiply(sF0,c3) = sF3
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_demodulation,[],[f3747,f17]) ).
fof(f3771,plain,
( sF1 = sF3
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_demodulation,[],[f3768,f22]) ).
fof(f3772,plain,
( $false
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f3771,f85]) ).
fof(f3773,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(avatar_contradiction_clause,[],[f3772]) ).
cnf(s1,plain,
spl4_1,
inference(sat_conversion,[],[f18]) ).
cnf(s2,plain,
spl4_2,
inference(sat_conversion,[],[f23]) ).
cnf(s3,plain,
spl4_3,
inference(sat_conversion,[],[f28]) ).
cnf(s4,plain,
spl4_4,
inference(sat_conversion,[],[f34]) ).
cnf(s5,plain,
~ spl4_5,
inference(sat_conversion,[],[f86]) ).
cnf(s6,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(sat_conversion,[],[f3773]) ).
cnf(s7,plain,
~ spl4_1,
inference(rat,[],[s6,s5,s4,s3,s2]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7]) ).
fof(f3774,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP435-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % 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 10:04:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 4.81/1.73 % (2168844)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.81/1.73 % (2168849)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3669621596:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.81/1.73 % (2168854)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3535286445:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.81/1.73 % (2168850)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1976680768:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.81/1.73 % (2168852)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=221744243:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.81/1.73 % (2168853)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=859260549:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.81/1.73 % (2168851)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2757832510:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.81/1.73 % (2168855)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3152109755:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.81/1.73 % (2168852)Instruction limit reached!
% 4.81/1.73 % (2168852)------------------------------
% 4.81/1.73 % (2168852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.73 % (2168852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.73 % (2168852)CaDiCaL version: 2.1.3
% 4.81/1.73 % (2168852)Termination reason: Instruction limit
% 4.81/1.73 % (2168852)Termination phase: Saturation
% 4.81/1.73 % (2168852)Time elapsed: 0.073 s
% 4.81/1.73 % (2168852)Peak memory usage: 89 MB
% 4.81/1.73 % (2168852)Instructions burned: 137 (million)
% 4.81/1.73 % (2168853)Instruction limit reached!
% 4.81/1.73 % (2168853)------------------------------
% 4.81/1.73 % (2168853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.73 % (2168853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.73 % (2168853)CaDiCaL version: 2.1.3
% 4.81/1.73 % (2168853)Termination reason: Instruction limit
% 4.81/1.73 % (2168853)Termination phase: Saturation
% 4.81/1.73 % (2168853)Time elapsed: 0.089 s
% 4.81/1.73 % (2168853)Peak memory usage: 88 MB
% 4.81/1.73 % (2168853)Instructions burned: 182 (million)
% 4.81/1.73 % (2168854)Instruction limit reached!
% 4.81/1.73 % (2168854)------------------------------
% 4.81/1.73 % (2168854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.73 % (2168854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.73 % (2168854)CaDiCaL version: 2.1.3
% 4.81/1.73 % (2168854)Termination reason: Instruction limit
% 4.81/1.73 % (2168854)Termination phase: Saturation
% 4.81/1.73 % (2168854)Time elapsed: 0.148 s
% 4.81/1.73 % (2168854)Peak memory usage: 90 MB
% 4.81/1.73 % (2168854)Instructions burned: 258 (million)
% 4.81/1.73 % (2168863)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3891427075:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.81/1.73 % (2168864)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1117073590:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 4.81/1.73 % (2168865)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=226937153:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 4.81/1.73 % (2168865)Instruction limit reached!
% 4.81/1.73 % (2168865)------------------------------
% 4.81/1.73 % (2168865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.73 % (2168865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.73 % (2168865)CaDiCaL version: 2.1.3
% 4.81/1.73 % (2168865)Termination reason: Instruction limit
% 4.81/1.73 % (2168865)Termination phase: Saturation
% 4.81/1.73 % (2168865)Time elapsed: 0.128 s
% 4.81/1.73 % (2168865)Peak memory usage: 91 MB
% 4.81/1.73 % (2168865)Instructions burned: 215 (million)
% 4.81/1.73 % (2168869)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=611826591:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 4.81/1.73 % (2168849)First to succeed.
% 4.81/1.73 % (2168849)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2168844"
% 4.81/1.73 % (2168855)Instruction limit reached!
% 4.81/1.73 % (2168855)------------------------------
% 4.81/1.73 % (2168855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.73 % (2168855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.73 % (2168855)CaDiCaL version: 2.1.3
% 4.81/1.73 % (2168855)Termination reason: Instruction limit
% 4.81/1.73 % (2168855)Termination phase: Saturation
% 4.81/1.73 % (2168855)Time elapsed: 0.591 s
% 4.81/1.73 % (2168855)Peak memory usage: 97 MB
% 4.81/1.73 % (2168855)Instructions burned: 1189 (million)
% 4.81/1.73 % (2168869)Instruction limit reached!
% 4.81/1.73 % (2168869)------------------------------
% 4.81/1.73 % (2168869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.73 % (2168869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.73 % (2168869)CaDiCaL version: 2.1.3
% 4.81/1.73 % (2168869)Termination reason: Instruction limit
% 4.81/1.73 % (2168869)Termination phase: Saturation
% 4.81/1.73 % (2168869)Time elapsed: 0.176 s
% 4.81/1.73 % (2168869)Peak memory usage: 91 MB
% 4.81/1.73 % (2168869)Instructions burned: 317 (million)
% 4.81/1.73 % (2168849)Refutation found. Thanks to Tanya!
% 4.81/1.73 % SZS status Unsatisfiable for theBenchmark
% 4.81/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 6.76/1.92 % (2168849)------------------------------
% 6.76/1.92 % (2168849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.92 % (2168849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.92 % (2168849)CaDiCaL version: 2.1.3
% 6.76/1.92 % (2168849)Termination reason: Refutation
% 6.76/1.92 % (2168849)Time elapsed: 0.610 s
% 6.76/1.92 % (2168849)Peak memory usage: 135 MB
% 6.76/1.92 % (2168849)Instructions burned: 1734 (million)
% 6.76/1.92 % (2168849)------------------------------
% 6.76/1.92 % (2168849)------------------------------
% 6.76/1.92 % (2168844)Success in time 0.874 s
% 6.76/1.92 % Vampire exiting
%------------------------------------------------------------------------------