%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL015-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:57:26 AM UTC 2026
% Result : Unsatisfiable 1.99s 0.86s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 26 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X1,X2),X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yrm) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wn) ).
fof(f4,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,X2),X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f4,f1]) ).
fof(f7,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(resolution,[],[f5,f1]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X3,equivalent(equivalent(X2,X3),X1)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(X0) ),
inference(resolution,[],[f7,f2]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f27,f4]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f31,f2]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X0),X2))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f31,f4]) ).
fof(f36,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),X2),X1)),
inference(resolution,[],[f33,f2]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X0,X1),X2)),X2))
| is_a_theorem(X0) ),
inference(resolution,[],[f34,f2]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X1,equivalent(X0,X2)))))
| is_a_theorem(X0) ),
inference(resolution,[],[f36,f34]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f39,f5]) ).
fof(f54,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0))))
| ~ is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f47,f36]) ).
fof(f62,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X0)))
| is_a_theorem(X1) ),
inference(resolution,[],[f54,f43]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) ),
inference(resolution,[],[f54,f33]) ).
fof(f69,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,X0))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f62,f4]) ).
fof(f71,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(X2,X1))),
inference(resolution,[],[f69,f2]) ).
fof(f80,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X0,equivalent(X1,X2))))),
inference(resolution,[],[f63,f36]) ).
fof(f3779,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),equivalent(X1,X2))),
inference(resolution,[],[f80,f69]) ).
fof(f3806,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),X1))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f71,f34]) ).
fof(f4407,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(X1,X2))),X2)),
inference(resolution,[],[f3779,f63]) ).
fof(f4410,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f3779,f34]) ).
fof(f4625,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X2),equivalent(X0,X1))),
inference(resolution,[],[f4407,f3806]) ).
fof(f5837,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X0,X1)))),
inference(resolution,[],[f4625,f4410]) ).
fof(f13032,plain,
$false,
inference(resolution,[],[f5837,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL015-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n006.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 15:16:56 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 1.99/0.86 % (3082662)Will run a generic schedule for satisfiability detection.
% 1.99/0.86 % (3082674)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=290655714:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.99/0.86 % (3082671)% WARNING: option uhcvi not known.
% 1.99/0.86 % (3082670)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3233183944_2999 on theBenchmark for (2999ds/0Mi)
% 1.99/0.86 % (3082672)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2142725535:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.99/0.86 % (3082675)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1960834047:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.99/0.86 % (3082671)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3473854176:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.99/0.86 % (3082673)dis+10_1_sil=32000:sp=arity:random_seed=1959295956:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.99/0.86 % (3082676)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=881645583:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.99/0.86 % TRYING [1]
% 1.99/0.86 % TRYING [2]
% 1.99/0.86 % TRYING [3]
% 1.99/0.86 % TRYING [4]
% 1.99/0.86 % (3082674)Instruction limit reached!
% 1.99/0.86 % (3082674)------------------------------
% 1.99/0.86 % (3082674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.86 % (3082674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.86 % (3082674)CaDiCaL version: 2.1.3
% 1.99/0.86 % (3082674)Termination reason: Instruction limit
% 1.99/0.86 % (3082674)Termination phase: Saturation
% 1.99/0.86 % (3082674)Time elapsed: 0.035 s
% 1.99/0.86 % (3082674)Peak memory usage: 11 MB
% 1.99/0.86 % (3082674)Instructions burned: 116 (million)
% 1.99/0.86 % (3082699)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=348305893:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.99/0.86 % TRYING [1]
% 1.99/0.86 % TRYING [2]
% 1.99/0.86 % TRYING [3]
% 1.99/0.86 % TRYING [4]
% 1.99/0.86 % (3082673)Instruction limit reached!
% 1.99/0.86 % (3082673)------------------------------
% 1.99/0.86 % (3082673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.86 % (3082673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.86 % (3082673)CaDiCaL version: 2.1.3
% 1.99/0.86 % (3082673)Termination reason: Instruction limit
% 1.99/0.86 % (3082673)Termination phase: Saturation
% 1.99/0.86 % (3082673)Time elapsed: 0.063 s
% 1.99/0.86 % (3082673)Peak memory usage: 11 MB
% 1.99/0.86 % (3082673)Instructions burned: 104 (million)
% 1.99/0.86 % (3082675)Instruction limit reached!
% 1.99/0.86 % (3082675)------------------------------
% 1.99/0.86 % (3082675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.86 % (3082675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.86 % (3082675)CaDiCaL version: 2.1.3
% 1.99/0.86 % (3082675)Termination reason: Instruction limit
% 1.99/0.86 % (3082675)Termination phase: Saturation
% 1.99/0.86 % (3082675)Time elapsed: 0.080 s
% 1.99/0.86 % (3082675)Peak memory usage: 12 MB
% 1.99/0.86 % (3082675)Instructions burned: 131 (million)
% 1.99/0.86 % (3082704)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1908070272:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.99/0.86 % (3082710)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=3729306329:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.99/0.86 % (3082676)Instruction limit reached!
% 1.99/0.86 % (3082676)------------------------------
% 1.99/0.86 % (3082676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.86 % (3082676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.86 % (3082676)CaDiCaL version: 2.1.3
% 1.99/0.86 % (3082676)Termination reason: Instruction limit
% 1.99/0.86 % (3082676)Termination phase: Saturation
% 1.99/0.86 % (3082676)Time elapsed: 0.099 s
% 1.99/0.86 % (3082676)Peak memory usage: 12 MB
% 1.99/0.86 % (3082676)Instructions burned: 160 (million)
% 1.99/0.86 % (3082720)ott-21_1_sil=16000:fs=off:random_seed=2298908187:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.99/0.86 % (3082704)Instruction limit reached!
% 1.99/0.86 % (3082704)------------------------------
% 1.99/0.86 % (3082704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.86 % (3082704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.86 % (3082704)CaDiCaL version: 2.1.3
% 1.99/0.86 % (3082704)Termination reason: Instruction limit
% 1.99/0.86 % (3082704)Termination phase: Saturation
% 1.99/0.86 % (3082704)Time elapsed: 0.081 s
% 1.99/0.86 % (3082704)Peak memory usage: 12 MB
% 1.99/0.86 % (3082704)Instructions burned: 131 (million)
% 1.99/0.86 % (3082741)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3082581706:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.99/0.86 % (3082720)Instruction limit reached!
% 1.99/0.86 % (3082720)------------------------------
% 1.99/0.86 % (3082720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.86 % (3082720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.86 % (3082720)CaDiCaL version: 2.1.3
% 1.99/0.86 % (3082720)Termination reason: Instruction limit
% 1.99/0.86 % (3082720)Termination phase: Saturation
% 1.99/0.86 % (3082720)Time elapsed: 0.104 s
% 1.99/0.86 % (3082720)Peak memory usage: 12 MB
% 1.99/0.86 % (3082720)Instructions burned: 181 (million)
% 1.99/0.86 % (3082766)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1980061302:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.99/0.86 % TRYING [1]
% 1.99/0.86 % TRYING [2]
% 1.99/0.86 % TRYING [3]
% 1.99/0.86 % TRYING [4]
% 1.99/0.86 % TRYING [5]
% 1.99/0.86 % (3082699)Instruction limit reached!
% 1.99/0.86 % (3082699)------------------------------
% 1.99/0.86 % (3082699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.86 % (3082699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.86 % (3082699)CaDiCaL version: 2.1.3
% 1.99/0.86 % (3082699)Termination reason: Instruction limit
% 1.99/0.86 % (3082699)Termination phase: Finite model building SAT solving
% 1.99/0.86 % (3082699)Time elapsed: 0.227 s
% 1.99/0.86 % (3082699)Peak memory usage: 12 MB
% 1.99/0.86 % (3082699)Instructions burned: 717 (million)
% 1.99/0.86 % (3082772)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2490921770:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 1.99/0.86 % (3082710) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3082662-3082710"...
% 1.99/0.86 % (3082710)...printing done.
% 1.99/0.86 % (3082710)Refutation found. Thanks to Tanya!
% 1.99/0.86 % SZS status Unsatisfiable for theBenchmark
% 1.99/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.86 % (3082710)------------------------------
% 1.99/0.86 % (3082710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.86 % (3082710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.86 % (3082710)CaDiCaL version: 2.1.3
% 1.99/0.86 % (3082710)Termination reason: Refutation
% 1.99/0.86 % (3082710)Time elapsed: 0.277 s
% 1.99/0.86 % (3082710)Peak memory usage: 16 MB
% 1.99/0.86 % (3082710)Instructions burned: 441 (million)
% 1.99/0.86 % (3082662)Success in time 0.417 s
% 1.99/0.86 % Vampire exiting
%------------------------------------------------------------------------------