%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT002-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:37:22 PM UTC 2026
% Result : Unsatisfiable 1.78s 0.81s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f723,axiom,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(c_in(c_Pair(X4,X1,X2,X2),X3,tc_prod(X2,X2)))
| hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))
| ~ hBOOL(c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2)))
| ~ c_Relation_Otrans(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__def_0) ).
fof(f728,negated_conjecture,
c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f729,negated_conjecture,
! [X0] : ~ hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f730,negated_conjecture,
hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f731,negated_conjecture,
hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1179,plain,
! [X0] :
( hBOOL(c_in(c_Pair(X0,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ hBOOL(c_in(c_Pair(X0,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(resolution,[],[f723,f731]) ).
fof(f1185,plain,
! [X0] :
( ~ hBOOL(c_in(c_Pair(X0,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(X0,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(forward_subsumption_resolution,[],[f1179,f728]) ).
fof(f1187,plain,
hBOOL(c_in(c_Pair(v_y,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(resolution,[],[f1185,f730]) ).
fof(f1190,plain,
$false,
inference(forward_subsumption_resolution,[],[f1187,f729]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT002-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n018.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 23:30:54 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.78/0.81 % (2849890)Will run a generic schedule for satisfiability detection.
% 1.78/0.81 % (2849900)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3106077855:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.78/0.81 % (2849896)% WARNING: option uhcvi not known.
% 1.78/0.81 % (2849895)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=846974816_2999 on theBenchmark for (2999ds/0Mi)
% 1.78/0.81 % (2849899)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1408625322:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.78/0.81 % (2849897)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=420813781:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.78/0.81 % (2849898)dis+10_1_sil=32000:sp=arity:random_seed=3352994657:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.78/0.81 % (2849901)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3713308552:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.78/0.81 % (2849896)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3917335426:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.78/0.81 % (2849900)Instruction limit reached!
% 1.78/0.81 % (2849900)------------------------------
% 1.78/0.81 % (2849900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.81 % (2849900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.81 % (2849900)CaDiCaL version: 2.1.3
% 1.78/0.81 % (2849900)Termination reason: Instruction limit
% 1.78/0.81 % (2849900)Termination phase: Saturation
% 1.78/0.81 % (2849900)Time elapsed: 0.074 s
% 1.78/0.81 % (2849900)Peak memory usage: 14 MB
% 1.78/0.81 % (2849900)Instructions burned: 132 (million)
% 1.78/0.81 % (2849909)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1523364691:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.78/0.81 % (2849898)Instruction limit reached!
% 1.78/0.81 % (2849898)------------------------------
% 1.78/0.81 % (2849898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.81 % (2849898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.81 % (2849898)CaDiCaL version: 2.1.3
% 1.78/0.81 % (2849898)Termination reason: Instruction limit
% 1.78/0.81 % (2849898)Termination phase: Saturation
% 1.78/0.81 % (2849898)Time elapsed: 0.109 s
% 1.78/0.81 % (2849898)Peak memory usage: 12 MB
% 1.78/0.81 % (2849898)Instructions burned: 104 (million)
% 1.78/0.81 % (2849899)Instruction limit reached!
% 1.78/0.81 % (2849899)------------------------------
% 1.78/0.81 % (2849899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.81 % (2849899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.81 % (2849899)CaDiCaL version: 2.1.3
% 1.78/0.81 % (2849899)Termination reason: Instruction limit
% 1.78/0.81 % (2849899)Termination phase: Saturation
% 1.78/0.81 % (2849899)Time elapsed: 0.119 s
% 1.78/0.81 % (2849899)Peak memory usage: 13 MB
% 1.78/0.81 % (2849899)Instructions burned: 116 (million)
% 1.78/0.81 % (2849911)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=254009772:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.78/0.81 % (2849901)Instruction limit reached!
% 1.78/0.81 % (2849901)------------------------------
% 1.78/0.81 % (2849901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.81 % (2849901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.81 % (2849901)CaDiCaL version: 2.1.3
% 1.78/0.81 % (2849901)Termination reason: Instruction limit
% 1.78/0.81 % (2849901)Termination phase: Saturation
% 1.78/0.81 % (2849901)Time elapsed: 0.149 s
% 1.78/0.81 % (2849901)Peak memory usage: 13 MB
% 1.78/0.81 % (2849901)Instructions burned: 159 (million)
% 1.78/0.81 % (2849912)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2350127024:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.78/0.81 % (2849914)ott-21_1_sil=16000:fs=off:random_seed=4204036719:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.78/0.81 % (2849911)Instruction limit reached!
% 1.78/0.81 % (2849911)------------------------------
% 1.78/0.81 % (2849911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.81 % (2849911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.81 % (2849911)CaDiCaL version: 2.1.3
% 1.78/0.81 % (2849911)Termination reason: Instruction limit
% 1.78/0.81 % (2849911)Termination phase: Saturation
% 1.78/0.81 % (2849911)Time elapsed: 0.102 s
% 1.78/0.81 % (2849911)Peak memory usage: 13 MB
% 1.78/0.81 % (2849911)Instructions burned: 132 (million)
% 1.78/0.81 % (2849912) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2849890-2849912"...
% 1.78/0.81 % (2849912)...printing done.
% 1.78/0.81 % (2849912)Refutation found. Thanks to Tanya!
% 1.78/0.81 % SZS status Unsatisfiable for theBenchmark
% 1.78/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.81 % (2849912)------------------------------
% 1.78/0.81 % (2849912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.81 % (2849912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.81 % (2849912)CaDiCaL version: 2.1.3
% 1.78/0.81 % (2849912)Termination reason: Refutation
% 1.78/0.81 % (2849912)Time elapsed: 0.082 s
% 1.78/0.81 % (2849912)Peak memory usage: 13 MB
% 1.78/0.81 % (2849912)Instructions burned: 88 (million)
% 1.78/0.81 % (2849890)Success in time 0.312 s
% 1.78/0.81 % Vampire exiting
%------------------------------------------------------------------------------