%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN563-1 : 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 : n001.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 02:00:58 PM UTC 2026
% Result : Unsatisfiable 3.67s 1.22s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 40 ( 12 unt; 1 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 57 ~; 45 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p6(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_2) ).
fof(f4,negated_conjecture,
p2(f4(c7),f4(c8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
~ p6(f4(c7),f3(f4(c8))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_5) ).
fof(f7,negated_conjecture,
! [X0] : p5(f3(f3(X0)),f3(f4(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_7) ).
fof(f8,negated_conjecture,
! [X0,X1] :
( ~ p6(f4(X0),X1)
| p5(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_8) ).
fof(f9,negated_conjecture,
! [X0] :
( p6(c7,f3(X0))
| ~ p6(c7,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( ~ p5(X0,X1)
| p6(f4(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_10) ).
fof(f11,negated_conjecture,
! [X0,X1] :
( p2(f3(X0),f3(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( p6(X0,X1)
| ~ p6(X0,X2)
| ~ p6(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( p5(X0,X1)
| ~ p5(X2,X1)
| ~ p6(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_15) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1] :
( p6(X0,X1)
| ~ p2(X2,X0)
| ~ p6(X2,X3)
| ~ p2(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_16) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( p5(X0,X1)
| ~ p2(X2,X1)
| ~ p5(X3,X2)
| ~ p2(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_17) ).
fof(f19,plain,
! [X0] : p5(X0,f4(X0)),
inference(resolution,[],[f8,f2]) ).
fof(f31,plain,
! [X0] :
( ~ p6(X0,f3(f4(c8)))
| ~ p6(f4(c7),X0) ),
inference(resolution,[],[f14,f5]) ).
fof(f33,plain,
! [X2,X0,X1] :
( p6(f4(X2),X1)
| ~ p6(X2,X0)
| ~ p5(X0,X1) ),
inference(resolution,[],[f15,f10]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ p2(X0,X1)
| ~ p5(X2,X0)
| ~ p2(X2,X3)
| p6(f4(X3),X1) ),
inference(resolution,[],[f17,f10]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ p2(X2,f3(f4(c8)))
| ~ p2(X1,X0)
| ~ p6(X1,X2)
| ~ p6(f4(c7),X0) ),
inference(resolution,[],[f31,f16]) ).
fof(f123,plain,
! [X0,X1] :
( p6(f4(X1),f4(c8))
| ~ p2(X0,X1)
| ~ p5(X0,f4(c7)) ),
inference(resolution,[],[f43,f4]) ).
fof(f365,plain,
! [X2,X0,X1] :
( ~ p2(X2,f4(c8))
| ~ p6(X0,f3(X2))
| ~ p6(f4(c7),X1)
| ~ p2(X0,X1) ),
inference(resolution,[],[f50,f11]) ).
fof(f652,definition,
( spl0_9
<=> p6(f4(c7),f4(c8)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f653,plain,
( p6(f4(c7),f4(c8))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f654,plain,
( ~ p6(f4(c7),f4(c8))
| spl0_9 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f1130,plain,
( ! [X0] :
( ~ p2(X0,c7)
| ~ p5(X0,f4(c7)) )
| spl0_9 ),
inference(resolution,[],[f654,f123]) ).
fof(f1145,plain,
( ~ p5(c7,f4(c7))
| spl0_9 ),
inference(resolution,[],[f1130,f1]) ).
fof(f1147,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f1145,f19]) ).
fof(f1148,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1471,plain,
! [X0] :
( ~ p2(X0,f4(c8))
| ~ p6(X0,f3(X0))
| ~ p6(f4(c7),f4(c8)) ),
inference(factoring,[],[f365]) ).
fof(f1472,plain,
( ! [X0] :
( ~ p2(X0,f4(c8))
| ~ p6(X0,f3(X0)) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1471,f653]) ).
fof(f1475,plain,
( ~ p6(f4(c7),f3(f4(c7)))
| ~ spl0_9 ),
inference(resolution,[],[f1472,f4]) ).
fof(f1490,plain,
( ! [X0] :
( ~ p5(X0,f3(f4(c7)))
| ~ p6(c7,X0) )
| ~ spl0_9 ),
inference(resolution,[],[f1475,f33]) ).
fof(f1593,plain,
( ~ p6(c7,f3(f3(c7)))
| ~ spl0_9 ),
inference(resolution,[],[f1490,f7]) ).
fof(f1598,plain,
( ~ p6(c7,f3(c7))
| ~ spl0_9 ),
inference(resolution,[],[f1593,f9]) ).
fof(f1609,plain,
( ~ p6(c7,c7)
| ~ spl0_9 ),
inference(resolution,[],[f1598,f9]) ).
fof(f1613,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1609,f2]) ).
fof(f1614,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f1613]) ).
cnf(s14,plain,
spl0_9,
inference(sat_conversion,[],[f1148]) ).
cnf(s22,plain,
~ spl0_9,
inference(sat_conversion,[],[f1614]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s14,s22]) ).
fof(f1615,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN563-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n001.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 16:35:04 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running first-order theorem proving
% 0.10/0.26 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
% 3.67/1.22 % (473776)Input is clausal, will run a generic CNF schedule.
% 3.67/1.22 % (473859)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=7268803:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.67/1.22 % (473866)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4243403758:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.67/1.22 % (473858)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=4031649302:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.67/1.22 % (473867)dis-21_1_sil=8000:lcm=predicate:random_seed=223851516: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)
% 3.67/1.22 % (473865)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1108428625:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.67/1.22 % (473863)lrs+10_1_sil=8000:sp=occurrence:random_seed=3873221466:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.67/1.22 % (473861)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2725077617:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.67/1.22 % (473866)First to succeed.
% 3.67/1.22 % (473866)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-473776"
% 3.67/1.22 % (473867)Instruction limit reached!
% 3.67/1.22 % (473867)------------------------------
% 3.67/1.22 % (473867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.22 % (473867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.22 % (473867)CaDiCaL version: 2.1.3
% 3.67/1.22 % (473867)Termination reason: Instruction limit
% 3.67/1.22 % (473867)Termination phase: Saturation
% 3.67/1.22 % (473867)Time elapsed: 0.073 s
% 3.67/1.22 % (473867)Peak memory usage: 88 MB
% 3.67/1.22 % (473867)Instructions burned: 118 (million)
% 3.67/1.22 % (473863)Instruction limit reached!
% 3.67/1.22 % (473863)------------------------------
% 3.67/1.22 % (473863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.22 % (473863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.22 % (473863)CaDiCaL version: 2.1.3
% 3.67/1.22 % (473863)Termination reason: Instruction limit
% 3.67/1.22 % (473863)Termination phase: Saturation
% 3.67/1.22 % (473863)Time elapsed: 0.066 s
% 3.67/1.22 % (473863)Peak memory usage: 89 MB
% 3.67/1.22 % (473863)Instructions burned: 109 (million)
% 3.67/1.22 % (473865)Instruction limit reached!
% 3.67/1.22 % (473865)------------------------------
% 3.67/1.22 % (473865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.22 % (473865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.22 % (473865)CaDiCaL version: 2.1.3
% 3.67/1.22 % (473865)Termination reason: Instruction limit
% 3.67/1.22 % (473865)Termination phase: Saturation
% 3.67/1.22 % (473865)Time elapsed: 0.070 s
% 3.67/1.22 % (473865)Peak memory usage: 88 MB
% 3.67/1.22 % (473865)Instructions burned: 114 (million)
% 3.67/1.22 % (473902)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4065384191: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)
% 3.67/1.22 % (473901)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=2376620336:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.67/1.22 % (473904)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1757864749:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.67/1.22 % (473902)Also succeeded, but the first one will report.
% 3.67/1.22 % (473901)Instruction limit reached!
% 3.67/1.22 % (473901)------------------------------
% 3.67/1.22 % (473901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.22 % (473901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.22 % (473901)CaDiCaL version: 2.1.3
% 3.67/1.22 % (473901)Termination reason: Instruction limit
% 3.67/1.22 % (473901)Termination phase: Saturation
% 3.67/1.22 % (473901)Time elapsed: 0.086 s
% 3.67/1.22 % (473901)Peak memory usage: 88 MB
% 3.67/1.22 % (473901)Instructions burned: 143 (million)
% 3.67/1.22 % (473866)Refutation found. Thanks to Tanya!
% 3.67/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.67/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.22 % (473866)------------------------------
% 3.67/1.22 % (473866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.22 % (473866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.22 % (473866)CaDiCaL version: 2.1.3
% 3.67/1.22 % (473866)Termination reason: Refutation
% 3.67/1.22 % (473866)Time elapsed: 0.045 s
% 3.67/1.22 % (473866)Peak memory usage: 89 MB
% 3.67/1.22 % (473866)Instructions burned: 66 (million)
% 3.67/1.22 % (473866)------------------------------
% 3.67/1.22 % (473866)------------------------------
% 3.67/1.22 % (473776)Success in time 0.426 s
% 3.67/1.22 % Vampire exiting
%------------------------------------------------------------------------------