%------------------------------------------------------------------------------
% File : Vampire---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 THM
% 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 12:36:43 PM UTC 2026
% Result : Unsatisfiable 5.73s 1.93s
% Output : Refutation 5.73s
% 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 : 16 ( 10 ~; 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 : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f723,axiom,
! [X2,X3,X0,X1,X4] :
( hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))
| ~ hBOOL(c_in(c_Pair(X4,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(f767,plain,
! [X0,X1] :
( ~ hBOOL(c_in(c_Pair(X0,X1,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(X1,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)))
| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(resolution,[],[f723,f729]) ).
fof(f768,plain,
! [X0,X1] :
( ~ hBOOL(c_in(c_Pair(X0,X1,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(X1,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))) ),
inference(forward_subsumption_resolution,[],[f767,f728]) ).
fof(f770,plain,
~ 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))),
inference(resolution,[],[f768,f731]) ).
fof(f779,plain,
$false,
inference(forward_subsumption_resolution,[],[f770,f730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT002-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n018.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 23:30:39 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 5.73/1.93 % (2849461)Input is clausal, will run a generic CNF schedule.
% 5.73/1.93 % (2849469)lrs+10_1_sil=8000:sp=occurrence:random_seed=2769293001:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.73/1.93 % (2849466)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=4269148207:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.73/1.93 % (2849469)Instruction limit reached!
% 5.73/1.93 % (2849469)------------------------------
% 5.73/1.93 % (2849469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/1.93 % (2849469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.93 % (2849469)CaDiCaL version: 2.1.3
% 5.73/1.93 % (2849469)Termination reason: Instruction limit
% 5.73/1.93 % (2849469)Termination phase: Saturation
% 5.73/1.93 % (2849469)Time elapsed: 0.041 s
% 5.73/1.93 % (2849469)Peak memory usage: 89 MB
% 5.73/1.93 % (2849469)Instructions burned: 109 (million)
% 5.73/1.93 % (2849467)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=658746975:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.73/1.93 % (2849472)dis-21_1_sil=8000:lcm=predicate:random_seed=190232281: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)
% 5.73/1.93 % (2849471)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3286528013:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.73/1.93 % (2849470)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3335498376:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.73/1.93 % (2849468)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2503885217:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.73/1.93 % (2849471)First to succeed.
% 5.73/1.93 % (2849471)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2849461"
% 5.73/1.93 % (2849472)Instruction limit reached!
% 5.73/1.93 % (2849472)------------------------------
% 5.73/1.93 % (2849472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/1.93 % (2849472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.93 % (2849472)CaDiCaL version: 2.1.3
% 5.73/1.93 % (2849472)Termination reason: Instruction limit
% 5.73/1.93 % (2849472)Termination phase: Saturation
% 5.73/1.93 % (2849472)Time elapsed: 0.110 s
% 5.73/1.93 % (2849472)Peak memory usage: 89 MB
% 5.73/1.93 % (2849472)Instructions burned: 117 (million)
% 5.73/1.93 % (2849470)Instruction limit reached!
% 5.73/1.93 % (2849470)------------------------------
% 5.73/1.93 % (2849470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/1.93 % (2849470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.93 % (2849470)CaDiCaL version: 2.1.3
% 5.73/1.93 % (2849470)Termination reason: Instruction limit
% 5.73/1.93 % (2849470)Termination phase: Saturation
% 5.73/1.93 % (2849470)Time elapsed: 0.112 s
% 5.73/1.93 % (2849470)Peak memory usage: 88 MB
% 5.73/1.93 % (2849470)Instructions burned: 114 (million)
% 5.73/1.93 % (2849475)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=3895964065:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.73/1.93 % (2849475)Also succeeded, but the first one will report.
% 5.73/1.93 % (2849481)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=583133089:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 5.73/1.93 % (2849481)Also succeeded, but the first one will report.
% 5.73/1.93 % (2849471)Refutation found. Thanks to Tanya!
% 5.73/1.93 % SZS status Unsatisfiable for theBenchmark
% 5.73/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 5.73/1.93 % (2849471)------------------------------
% 5.73/1.93 % (2849471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/1.93 % (2849471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.93 % (2849471)CaDiCaL version: 2.1.3
% 5.73/1.93 % (2849471)Termination reason: Refutation
% 5.73/1.93 % (2849471)Time elapsed: 0.032 s
% 5.73/1.93 % (2849471)Peak memory usage: 89 MB
% 5.73/1.93 % (2849471)Instructions burned: 34 (million)
% 5.73/1.93 % (2849471)------------------------------
% 5.73/1.93 % (2849471)------------------------------
% 5.73/1.93 % (2849461)Success in time 0.747 s
% 5.73/1.93 % Vampire exiting
%------------------------------------------------------------------------------