%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL121-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:38:33 AM UTC 2026
% Result : Unsatisfiable 1.69s 0.49s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 35 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f393,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
| ~ c_in(X0,X1,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f1445,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
| ~ c_Comb_Odiamond(X0,X1)
| c_in(c_Pair(X3,c_Comb_Odiamond__strip__lemmaE__1(X0,X4,X3,X1),X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Odiamond__strip__lemmaE_0) ).
fof(f1446,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
| ~ c_Comb_Odiamond(X0,X1)
| c_in(c_Pair(X4,c_Comb_Odiamond__strip__lemmaE__1(X0,X4,X3,X1),X1,X1),X0,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Odiamond__strip__lemmaE_1) ).
fof(f1447,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X4,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
| ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
| c_in(c_Pair(X4,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
fof(f1448,negated_conjecture,
c_Comb_Odiamond(v_r,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1450,negated_conjecture,
c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1451,negated_conjecture,
c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1452,negated_conjecture,
! [X0] :
( c_in(c_Pair(v_ya,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1453,negated_conjecture,
! [X0] :
( c_in(c_Pair(X0,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1454,negated_conjecture,
! [X0] :
( ~ c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1479,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_x(X0),X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1447,f1453]) ).
fof(f1543,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_ya,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Comb_Odiamond(v_r,t_a)
| c_in(c_Pair(v_x(X1),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(X1),X0,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1446,f1452]) ).
fof(f1548,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_ya,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_x(X1),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(X1),X0,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(forward_subsumption_resolution,[],[f1543,f1448]) ).
fof(f1732,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_ya,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Comb_Odiamond(v_r,t_a)
| c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(X1),X0,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1445,f1452]) ).
fof(f1737,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_ya,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(X1),X0,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(forward_subsumption_resolution,[],[f1732,f1448]) ).
fof(f2053,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_x(X0),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1479,f393]) ).
fof(f2844,plain,
! [X0] :
( c_in(c_Pair(v_x(X0),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(X0),v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1548,f1450]) ).
fof(f3039,plain,
! [X0] :
( c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(X0),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1737,f1450]) ).
fof(f4524,plain,
! [X0] :
( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(X0),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f2053,f2844]) ).
fof(f4539,plain,
! [X0] :
( c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(X0),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(duplicate_literal_removal,[],[f4524]) ).
fof(f5322,plain,
( ~ c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f4539,f1454]) ).
fof(f5347,plain,
~ c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(forward_subsumption_resolution,[],[f5322,f3039]) ).
fof(f5355,plain,
$false,
inference(forward_subsumption_resolution,[],[f5347,f1451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL121-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:41:16 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 1.69/0.49 % (3812217)Will run a generic schedule for satisfiability detection.
% 1.69/0.49 % (3812223)% WARNING: option uhcvi not known.
% 1.69/0.49 % (3812223)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2318539173:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.69/0.49 % (3812222)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2338208632_2999 on theBenchmark for (2999ds/0Mi)
% 1.69/0.49 % (3812224)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=202983855:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.69/0.49 % (3812225)dis+10_1_sil=32000:sp=arity:random_seed=3304185191:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.69/0.49 % (3812226)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2799878113:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.69/0.49 % (3812228)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3884023781:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.69/0.49 % (3812227)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1397517108:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.69/0.49 % TRYING [1]
% 1.69/0.49 % TRYING [2]
% 1.69/0.49 % (3812225)Instruction limit reached!
% 1.69/0.49 % (3812225)------------------------------
% 1.69/0.49 % (3812225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.49 % (3812225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.49 % (3812225)CaDiCaL version: 2.1.3
% 1.69/0.49 % (3812225)Termination reason: Instruction limit
% 1.69/0.49 % (3812225)Termination phase: Saturation
% 1.69/0.49 % (3812225)Time elapsed: 0.069 s
% 1.69/0.49 % (3812225)Peak memory usage: 14 MB
% 1.69/0.49 % (3812225)Instructions burned: 104 (million)
% 1.69/0.49 % (3812227)Instruction limit reached!
% 1.69/0.49 % (3812227)------------------------------
% 1.69/0.49 % (3812227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.49 % (3812227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.49 % (3812227)CaDiCaL version: 2.1.3
% 1.69/0.49 % (3812227)Termination reason: Instruction limit
% 1.69/0.49 % (3812227)Termination phase: Saturation
% 1.69/0.49 % (3812227)Time elapsed: 0.073 s
% 1.69/0.49 % (3812227)Peak memory usage: 14 MB
% 1.69/0.49 % (3812227)Instructions burned: 131 (million)
% 1.69/0.49 % (3812226)Instruction limit reached!
% 1.69/0.49 % (3812226)------------------------------
% 1.69/0.49 % (3812226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.49 % (3812226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.49 % (3812226)CaDiCaL version: 2.1.3
% 1.69/0.49 % (3812226)Termination reason: Instruction limit
% 1.69/0.49 % (3812226)Termination phase: Saturation
% 1.69/0.49 % (3812226)Time elapsed: 0.074 s
% 1.69/0.49 % (3812226)Peak memory usage: 14 MB
% 1.69/0.49 % (3812226)Instructions burned: 117 (million)
% 1.69/0.49 % (3812236)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2985407396:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.69/0.49 % (3812238)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=2734997531:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.69/0.49 % (3812237)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2856339512:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.69/0.49 % TRYING [3]
% 1.69/0.49 % (3812228)Instruction limit reached!
% 1.69/0.49 % (3812228)------------------------------
% 1.69/0.49 % (3812228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.49 % (3812228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.49 % (3812228)CaDiCaL version: 2.1.3
% 1.69/0.49 % (3812228)Termination reason: Instruction limit
% 1.69/0.49 % (3812228)Termination phase: Saturation
% 1.69/0.49 % (3812228)Time elapsed: 0.098 s
% 1.69/0.49 % (3812228)Peak memory usage: 14 MB
% 1.69/0.49 % (3812228)Instructions burned: 159 (million)
% 1.69/0.49 % (3812242)ott-21_1_sil=16000:fs=off:random_seed=310267282:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.69/0.49 % TRYING [1]
% 1.69/0.49 % TRYING [2]
% 1.69/0.49 % (3812237)Instruction limit reached!
% 1.69/0.49 % (3812237)------------------------------
% 1.69/0.49 % (3812237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.49 % (3812237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.49 % (3812237)CaDiCaL version: 2.1.3
% 1.69/0.49 % (3812237)Termination reason: Instruction limit
% 1.69/0.49 % (3812237)Termination phase: Saturation
% 1.69/0.49 % (3812237)Time elapsed: 0.082 s
% 1.69/0.49 % (3812237)Peak memory usage: 15 MB
% 1.69/0.49 % (3812237)Instructions burned: 132 (million)
% 1.69/0.49 % (3812244)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3004545975:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.69/0.49 % TRYING [3]
% 1.69/0.49 % (3812238) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3812217-3812238"...
% 1.69/0.49 % (3812238)...printing done.
% 1.69/0.49 % (3812238)Refutation found. Thanks to Tanya!
% 1.69/0.49 % SZS status Unsatisfiable for theBenchmark
% 1.69/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.49 % (3812238)------------------------------
% 1.69/0.49 % (3812238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.49 % (3812238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.49 % (3812238)CaDiCaL version: 2.1.3
% 1.69/0.49 % (3812238)Termination reason: Refutation
% 1.69/0.49 % (3812238)Time elapsed: 0.123 s
% 1.69/0.49 % (3812238)Peak memory usage: 15 MB
% 1.69/0.49 % (3812238)Instructions burned: 203 (million)
% 1.69/0.49 % (3812217)Success in time 0.275 s
% 1.69/0.49 % Vampire exiting
%------------------------------------------------------------------------------