%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL123-1 : 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 : n006.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 0.96s 0.37s
% Output : Refutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 32 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 27 ( 27 !; 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(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(f1447,negated_conjecture,
c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1448,negated_conjecture,
c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1449,negated_conjecture,
! [X0] :
( c_in(c_Pair(X0,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_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1450,negated_conjecture,
! [X0] :
( c_in(c_Pair(v_y,v_xaa(X0),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1451,negated_conjecture,
! [X0] :
( ~ c_in(c_Pair(v_xb,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),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1452,negated_conjecture,
! [X2,X0,X1] :
( c_in(c_Pair(X0,v_xa(X1,X0,X2),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1453,negated_conjecture,
! [X2,X0,X1] :
( c_in(c_Pair(X0,v_xa(X1,X2,X0),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f1468,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_xaa(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_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1445,f1449]) ).
fof(f1513,plain,
! [X0,X1] :
( 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_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa(X0),X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1468,f393]) ).
fof(f1514,plain,
! [X0] :
( ~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1513,f1451]) ).
fof(f1520,plain,
! [X0] :
( ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_subsumption_resolution,[],[f1514,f1448]) ).
fof(f1521,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_z,v_xa(X0,v_xaa(v_xb),X1),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1520,f1452]) ).
fof(f1539,plain,
! [X0] :
( ~ c_in(c_Pair(X0,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1521,f1453]) ).
fof(f1540,plain,
! [X0] :
( ~ c_in(c_Pair(X0,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(duplicate_literal_removal,[],[f1539]) ).
fof(f1541,plain,
( ~ c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f1540,f1450]) ).
fof(f1542,plain,
~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(forward_subsumption_resolution,[],[f1541,f1447]) ).
fof(f1543,plain,
$false,
inference(forward_subsumption_resolution,[],[f1542,f1448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL123-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n006.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 21:40:55 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 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
% 0.96/0.37 % (235335)Will run a generic schedule for satisfiability detection.
% 0.96/0.37 % (235346)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3532793051:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.96/0.37 % (235341)% WARNING: option uhcvi not known.
% 0.96/0.37 % (235341)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=219962733:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.96/0.37 % (235340)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3194708215_2999 on theBenchmark for (2999ds/0Mi)
% 0.96/0.37 % (235342)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1930433821:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.96/0.37 % (235343)dis+10_1_sil=32000:sp=arity:random_seed=4165464204:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.96/0.37 % (235345)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1650294749:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.96/0.37 % (235344)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1928284873:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.96/0.37 % (235346)Instruction limit reached!
% 0.96/0.37 % (235346)------------------------------
% 0.96/0.37 % (235346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.37 % (235346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.37 % (235346)CaDiCaL version: 2.1.3
% 0.96/0.37 % (235346)Termination reason: Instruction limit
% 0.96/0.37 % (235346)Termination phase: Saturation
% 0.96/0.37 % (235346)Time elapsed: 0.048 s
% 0.96/0.37 % (235346)Peak memory usage: 15 MB
% 0.96/0.37 % (235346)Instructions burned: 163 (million)
% 0.96/0.37 % (235354)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1172240822:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.96/0.37 % TRYING [1]
% 0.96/0.37 % TRYING [2]
% 0.96/0.37 % (235343)Instruction limit reached!
% 0.96/0.37 % (235343)------------------------------
% 0.96/0.37 % (235343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.37 % (235343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.37 % (235343)CaDiCaL version: 2.1.3
% 0.96/0.37 % (235343)Termination reason: Instruction limit
% 0.96/0.37 % (235343)Termination phase: Saturation
% 0.96/0.37 % (235343)Time elapsed: 0.068 s
% 0.96/0.37 % (235343)Peak memory usage: 14 MB
% 0.96/0.37 % (235343)Instructions burned: 104 (million)
% 0.96/0.37 % (235345)Instruction limit reached!
% 0.96/0.37 % (235345)------------------------------
% 0.96/0.37 % (235345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.37 % (235345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.37 % (235345)CaDiCaL version: 2.1.3
% 0.96/0.37 % (235345)Termination reason: Instruction limit
% 0.96/0.37 % (235345)Termination phase: Saturation
% 0.96/0.37 % (235345)Time elapsed: 0.070 s
% 0.96/0.37 % (235345)Peak memory usage: 14 MB
% 0.96/0.37 % (235345)Instructions burned: 132 (million)
% 0.96/0.37 % (235344)Instruction limit reached!
% 0.96/0.37 % (235344)------------------------------
% 0.96/0.37 % (235344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.37 % (235344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.37 % (235344)CaDiCaL version: 2.1.3
% 0.96/0.37 % (235344)Termination reason: Instruction limit
% 0.96/0.37 % (235344)Termination phase: Saturation
% 0.96/0.37 % (235344)Time elapsed: 0.073 s
% 0.96/0.37 % (235344)Peak memory usage: 14 MB
% 0.96/0.37 % (235344)Instructions burned: 116 (million)
% 0.96/0.37 % TRYING [1]
% 0.96/0.37 % TRYING [2]
% 0.96/0.37 % (235356)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2490761235:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.96/0.37 % (235357)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=1522747127:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.96/0.37 % (235358)ott-21_1_sil=16000:fs=off:random_seed=2780229538:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.96/0.37 % TRYING [3]
% 0.96/0.37 % (235357) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-235335-235357"...
% 0.96/0.37 % (235357)...printing done.
% 0.96/0.37 % (235357)Refutation found. Thanks to Tanya!
% 0.96/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.96/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.96/0.37 % (235357)------------------------------
% 0.96/0.37 % (235357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.37 % (235357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.37 % (235357)CaDiCaL version: 2.1.3
% 0.96/0.37 % (235357)Termination reason: Refutation
% 0.96/0.37 % (235357)Time elapsed: 0.013 s
% 0.96/0.37 % (235357)Peak memory usage: 13 MB
% 0.96/0.37 % (235357)Instructions burned: 19 (million)
% 0.96/0.37 % (235335)Success in time 0.149 s
% 0.96/0.37 % Vampire exiting
%------------------------------------------------------------------------------