%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN604-1 : 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 : n004.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 02:01:04 PM UTC 2026
% Result : Unsatisfiable 3.49s 1.25s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 54 ( 20 unt; 2 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 99 ( 48 ~; 49 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
fof(f7,negated_conjecture,
! [X0] : p3(f4(f8(X0)),f12(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f8,negated_conjecture,
! [X0] : p3(f12(f10(X0)),f10(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f9,negated_conjecture,
! [X0] : p16(f10(f11(c21)),f12(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_9) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( p16(X1,f12(X0))
| p16(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_10) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( p3(f12(X0),f12(X1))
| ~ p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_21) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ~ p16(X2,X1)
| ~ p16(X0,X2)
| p16(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(X2,X3)
| ~ p3(X2,X0)
| ~ p3(X3,X1)
| p16(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_25) ).
fof(f28,negated_conjecture,
! [X0] : ~ p16(f4(f6(f7(c20,c18),X0)),f4(f6(f7(c20,c18),f13(X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p16_28) ).
fof(f29,negated_conjecture,
! [X0] :
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0)))
| ~ p16(f4(X0),f12(c19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_29) ).
fof(f30,negated_conjecture,
! [X0] :
( p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X0)))
| ~ p16(c19,f4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_30) ).
fof(f41,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(X1,X0) ),
inference(resolution,[],[f21,f4]) ).
fof(f44,plain,
! [X0,X1] :
( ~ p3(f12(f10(X0)),X1)
| p3(X1,f10(X0)) ),
inference(resolution,[],[f21,f8]) ).
fof(f48,plain,
! [X0] : p3(f12(X0),f4(f8(X0))),
inference(resolution,[],[f41,f7]) ).
fof(f50,plain,
! [X0] : p3(f10(X0),f12(f10(X0))),
inference(resolution,[],[f41,f8]) ).
fof(f62,plain,
! [X0,X1] :
( p3(X1,f12(f10(X0)))
| ~ p3(f10(X0),X1) ),
inference(resolution,[],[f50,f21]) ).
fof(f64,plain,
! [X0,X1] :
( ~ p16(X0,f10(f11(c21)))
| p16(X0,f12(X1)) ),
inference(resolution,[],[f23,f9]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( ~ p3(f12(X2),X3)
| ~ p3(X0,X1)
| p16(X1,X3)
| p16(X2,X0) ),
inference(resolution,[],[f25,f10]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( p16(X1,f12(X2))
| ~ p3(X0,X1)
| p16(X3,X0)
| ~ p3(X3,X2) ),
inference(resolution,[],[f87,f15]) ).
fof(f97,plain,
! [X0,X1] :
( p3(f12(X0),f10(X1))
| ~ p3(f10(X1),X0) ),
inference(resolution,[],[f44,f15]) ).
fof(f98,plain,
! [X0] : p3(f4(f8(f10(X0))),f10(X0)),
inference(resolution,[],[f44,f48]) ).
fof(f101,plain,
! [X0] : p3(f10(X0),f4(f8(f10(X0)))),
inference(resolution,[],[f98,f41]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ p3(f10(X0),X1)
| ~ p3(X2,X3)
| p16(X3,f10(X0))
| p16(X1,X2) ),
inference(resolution,[],[f97,f87]) ).
fof(f140,plain,
! [X0,X1] :
( ~ p3(f12(X1),X0)
| p16(X0,f12(X1))
| ~ p3(X0,X1) ),
inference(factoring,[],[f92]) ).
fof(f147,plain,
~ p16(f4(f13(c23)),f12(c19)),
inference(resolution,[],[f29,f28]) ).
fof(f154,plain,
p16(c19,f4(f13(c23))),
inference(resolution,[],[f147,f10]) ).
fof(f170,plain,
! [X0,X1] :
( ~ p16(X1,f4(f6(f7(c20,c18),f8(f10(f11(c21))))))
| ~ p16(c19,f4(X0))
| p16(X1,f4(f6(f7(c20,c18),X0))) ),
inference(resolution,[],[f30,f23]) ).
fof(f252,plain,
! [X0,X1] :
( p3(f12(f10(X0)),X1)
| ~ p3(f10(X0),X1) ),
inference(resolution,[],[f62,f41]) ).
fof(f431,plain,
! [X0] :
( ~ p16(c19,f4(X0))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0)))
| ~ p16(f4(f8(f10(f11(c21)))),f12(c19)) ),
inference(resolution,[],[f170,f29]) ).
fof(f443,definition,
( spl0_9
<=> p16(f4(f8(f10(f11(c21)))),f12(c19)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f444,plain,
( ~ p16(f4(f8(f10(f11(c21)))),f12(c19))
| spl0_9 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f446,definition,
( spl0_10
<=> ! [X0] :
( ~ p16(c19,f4(X0))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0))) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f447,plain,
( ! [X0] :
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0)))
| ~ p16(c19,f4(X0)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f448,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f431,f446,f443]) ).
fof(f584,plain,
! [X2,X0,X1] :
( p16(f12(f10(X2)),X0)
| p16(X1,f10(X2))
| ~ p3(X0,X1) ),
inference(resolution,[],[f133,f50]) ).
fof(f673,plain,
! [X0] :
( p16(f12(f10(X0)),f10(X0))
| ~ p3(f10(X0),f12(f10(X0))) ),
inference(factoring,[],[f584]) ).
fof(f674,plain,
! [X0] : p16(f12(f10(X0)),f10(X0)),
inference(forward_subsumption_resolution,[],[f673,f50]) ).
fof(f678,plain,
! [X0,X1] :
( ~ p16(X0,f12(f10(X1)))
| p16(X0,f10(X1)) ),
inference(resolution,[],[f674,f23]) ).
fof(f1376,plain,
! [X0,X1] :
( p16(X0,f12(f10(X1)))
| ~ p3(X0,f10(X1))
| ~ p3(f10(X1),X0) ),
inference(resolution,[],[f140,f252]) ).
fof(f1398,plain,
! [X0,X1] :
( p16(X0,f12(f10(X1)))
| ~ p3(f10(X1),X0) ),
inference(forward_subsumption_resolution,[],[f1376,f41]) ).
fof(f1510,plain,
! [X0,X1] :
( ~ p3(f10(X0),X1)
| p16(X1,f10(X0)) ),
inference(resolution,[],[f1398,f678]) ).
fof(f1540,plain,
! [X0] : p16(f4(f8(f10(X0))),f10(X0)),
inference(resolution,[],[f1510,f101]) ).
fof(f1548,plain,
! [X0] : p16(f4(f8(f10(f11(c21)))),f12(X0)),
inference(resolution,[],[f1540,f64]) ).
fof(f1628,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f1548,f444]) ).
fof(f1633,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f1628]) ).
fof(f1654,plain,
( ~ p16(c19,f4(f13(c23)))
| ~ spl0_10 ),
inference(resolution,[],[f447,f28]) ).
fof(f1659,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1654,f154]) ).
fof(f1660,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f1659]) ).
cnf(s5,plain,
( ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f448]) ).
cnf(s31,plain,
spl0_9,
inference(sat_conversion,[],[f1633]) ).
cnf(s34,plain,
~ spl0_10,
inference(sat_conversion,[],[f1660]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s5,s34,s31]) ).
fof(f1661,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN604-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:35:57 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.49/1.25 % (505899)Input is clausal, will run a generic CNF schedule.
% 3.49/1.25 % (505908)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2873716810:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.25 % (505908)Instruction limit reached!
% 3.49/1.25 % (505908)------------------------------
% 3.49/1.25 % (505908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.25 % (505908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.25 % (505908)CaDiCaL version: 2.1.3
% 3.49/1.25 % (505908)Termination reason: Instruction limit
% 3.49/1.25 % (505908)Termination phase: Saturation
% 3.49/1.25 % (505908)Time elapsed: 0.042 s
% 3.49/1.25 % (505908)Peak memory usage: 88 MB
% 3.49/1.25 % (505908)Instructions burned: 114 (million)
% 3.49/1.25 % (505910)dis-21_1_sil=8000:lcm=predicate:random_seed=1868318143:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.49/1.25 % (505905)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3748746151:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.25 % (505907)lrs+10_1_sil=8000:sp=occurrence:random_seed=2955356062:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.25 % (505906)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1460502991:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.25 % (505904)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=612440162:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.25 % (505909)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1856984418:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.25 % (505907)Instruction limit reached!
% 3.49/1.25 % (505907)------------------------------
% 3.49/1.25 % (505907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.25 % (505907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.25 % (505907)CaDiCaL version: 2.1.3
% 3.49/1.25 % (505907)Termination reason: Instruction limit
% 3.49/1.25 % (505907)Termination phase: Saturation
% 3.49/1.25 % (505907)Time elapsed: 0.065 s
% 3.49/1.25 % (505907)Peak memory usage: 89 MB
% 3.49/1.25 % (505907)Instructions burned: 108 (million)
% 3.49/1.25 % (505910)Instruction limit reached!
% 3.49/1.25 % (505910)------------------------------
% 3.49/1.25 % (505910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.25 % (505910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.25 % (505910)CaDiCaL version: 2.1.3
% 3.49/1.25 % (505910)Termination reason: Instruction limit
% 3.49/1.25 % (505910)Termination phase: Saturation
% 3.49/1.25 % (505910)Time elapsed: 0.077 s
% 3.49/1.25 % (505910)Peak memory usage: 89 MB
% 3.49/1.25 % (505910)Instructions burned: 118 (million)
% 3.49/1.25 % (505917)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=1371212670:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.49/1.25 % (505917)First to succeed.
% 3.49/1.25 % (505917)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-505899"
% 3.49/1.25 % (505909)Instruction limit reached!
% 3.49/1.25 % (505909)------------------------------
% 3.49/1.25 % (505909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.25 % (505909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.25 % (505909)CaDiCaL version: 2.1.3
% 3.49/1.25 % (505909)Termination reason: Instruction limit
% 3.49/1.25 % (505909)Termination phase: Saturation
% 3.49/1.25 % (505909)Time elapsed: 0.125 s
% 3.49/1.25 % (505909)Peak memory usage: 89 MB
% 3.49/1.25 % (505909)Instructions burned: 180 (million)
% 3.49/1.25 % (505919)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4263931047:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.49/1.25 % (505921)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1393850123:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.49/1.25 % (505917)Refutation found. Thanks to Tanya!
% 3.49/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.25 % (505917)------------------------------
% 3.49/1.25 % (505917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.25 % (505917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.25 % (505917)CaDiCaL version: 2.1.3
% 3.49/1.25 % (505917)Termination reason: Refutation
% 3.49/1.25 % (505917)Time elapsed: 0.020 s
% 3.49/1.25 % (505917)Peak memory usage: 89 MB
% 3.49/1.25 % (505917)Instructions burned: 53 (million)
% 3.49/1.25 % (505917)------------------------------
% 3.49/1.25 % (505917)------------------------------
% 3.49/1.25 % (505899)Success in time 0.405 s
% 3.49/1.25 % Vampire exiting
%------------------------------------------------------------------------------