%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL104-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 09:38:29 AM UTC 2026
% Result : Unsatisfiable 0.89s 0.39s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X2,X0,X1] :
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X2,X0),c_Comb_Ocomb_Oop_A_D_D(X2,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/Axioms/COL002-0.ax',cls_Comb_Ocontract_OAp2_0) ).
fof(f430,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/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f1472,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/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
fof(f1474,negated_conjecture,
c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1475,negated_conjecture,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_y),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1476,negated_conjecture,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_za),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1484,plain,
! [X0] :
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_y),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolution,[],[f1472,f1475]) ).
fof(f1493,plain,
! [X0] :
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_y),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolution,[],[f1484,f430]) ).
fof(f1494,plain,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_y),c_Comb_Ocomb_Oop_A_D_D(v_z,v_za),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolution,[],[f1493,f1476]) ).
fof(f1496,plain,
~ c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolution,[],[f1494,f35]) ).
fof(f1497,plain,
$false,
inference(forward_subsumption_resolution,[],[f1496,f1474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL104-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 21:39:39 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.89/0.39 % (2681070)Will run a generic schedule for satisfiability detection.
% 0.89/0.39 % (2681079)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2557616319:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.89/0.39 % (2681076)% WARNING: option uhcvi not known.
% 0.89/0.39 % (2681075)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3393085136_2999 on theBenchmark for (2999ds/0Mi)
% 0.89/0.39 % (2681076)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3004874707:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.89/0.39 % (2681077)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1580946060:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.89/0.39 % (2681078)dis+10_1_sil=32000:sp=arity:random_seed=3679339871:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.89/0.39 % (2681080)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3238564578:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.89/0.39 % (2681081)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2294873510:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.89/0.39 % (2681079)Instruction limit reached!
% 0.89/0.39 % (2681079)------------------------------
% 0.89/0.39 % (2681079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (2681079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (2681079)CaDiCaL version: 2.1.3
% 0.89/0.39 % (2681079)Termination reason: Instruction limit
% 0.89/0.39 % (2681079)Termination phase: Saturation
% 0.89/0.39 % (2681079)Time elapsed: 0.040 s
% 0.89/0.39 % (2681079)Peak memory usage: 14 MB
% 0.89/0.39 % (2681079)Instructions burned: 116 (million)
% 0.89/0.39 % (2681089)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1447247711:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.89/0.39 % TRYING [1]
% 0.89/0.39 % (2681078)Instruction limit reached!
% 0.89/0.39 % (2681078)------------------------------
% 0.89/0.39 % (2681078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (2681078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (2681078)CaDiCaL version: 2.1.3
% 0.89/0.39 % (2681078)Termination reason: Instruction limit
% 0.89/0.39 % (2681078)Termination phase: Saturation
% 0.89/0.39 % (2681078)Time elapsed: 0.069 s
% 0.89/0.39 % (2681078)Peak memory usage: 14 MB
% 0.89/0.39 % (2681078)Instructions burned: 103 (million)
% 0.89/0.39 % TRYING [2]
% 0.89/0.39 % (2681080)Instruction limit reached!
% 0.89/0.39 % (2681080)------------------------------
% 0.89/0.39 % (2681080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (2681080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (2681080)CaDiCaL version: 2.1.3
% 0.89/0.39 % (2681080)Termination reason: Instruction limit
% 0.89/0.39 % (2681080)Termination phase: Saturation
% 0.89/0.39 % (2681080)Time elapsed: 0.075 s
% 0.89/0.39 % (2681080)Peak memory usage: 14 MB
% 0.89/0.39 % (2681080)Instructions burned: 131 (million)
% 0.89/0.39 % TRYING [1]
% 0.89/0.39 % TRYING [2]
% 0.89/0.39 % (2681091)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1070564333:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.89/0.39 % (2681092)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=3207171734:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.89/0.39 % (2681081)Instruction limit reached!
% 0.89/0.39 % (2681081)------------------------------
% 0.89/0.39 % (2681081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (2681081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (2681081)CaDiCaL version: 2.1.3
% 0.89/0.39 % (2681081)Termination reason: Instruction limit
% 0.89/0.39 % (2681081)Termination phase: Saturation
% 0.89/0.39 % (2681081)Time elapsed: 0.098 s
% 0.89/0.39 % (2681081)Peak memory usage: 15 MB
% 0.89/0.39 % (2681081)Instructions burned: 159 (million)
% 0.89/0.39 % (2681092) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2681070-2681092"...
% 0.89/0.39 % (2681092)...printing done.
% 0.89/0.39 % (2681092)Refutation found. Thanks to Tanya!
% 0.89/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.89/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.89/0.39 % (2681092)------------------------------
% 0.89/0.39 % (2681092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (2681092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (2681092)CaDiCaL version: 2.1.3
% 0.89/0.39 % (2681092)Termination reason: Refutation
% 0.89/0.39 % (2681092)Time elapsed: 0.010 s
% 0.89/0.39 % (2681092)Peak memory usage: 14 MB
% 0.89/0.39 % (2681092)Instructions burned: 15 (million)
% 0.89/0.39 % (2681070)Success in time 0.168 s
% 0.89/0.39 % Vampire exiting
%------------------------------------------------------------------------------