%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL006-1 : 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 : n002.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 11:57:24 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.79s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 28 unt; 5 def)
% Number of atoms : 48 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 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,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X0,equivalent(X1,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5) ).
fof(f4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_1) ).
fof(f5,definition,
sF0 = equivalent(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f6,plain,
equivalent(a,b) = sF0,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF1 = equivalent(c,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
equivalent(c,a) = sF1,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF2 = equivalent(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f10,plain,
equivalent(sF0,sF1) = sF2,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF3 = equivalent(b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f12,plain,
equivalent(b,c) = sF3,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF4 = equivalent(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f14,plain,
equivalent(sF2,sF3) = sF4,
inference(reorient_equations,[],[f13]) ).
fof(f15,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f4,f14,f12,f10,f8,f6]) ).
fof(f53,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f2,f1]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f65,plain,
! [X0] : is_a_theorem(equivalent(equivalent(sF0,X0),equivalent(a,equivalent(b,X0)))),
inference(superposition,[],[f3,f6]) ).
fof(f66,plain,
! [X0] : is_a_theorem(equivalent(equivalent(sF3,X0),equivalent(b,equivalent(c,X0)))),
inference(superposition,[],[f3,f12]) ).
fof(f69,plain,
! [X0] : is_a_theorem(equivalent(equivalent(sF4,X0),equivalent(sF2,equivalent(sF3,X0)))),
inference(superposition,[],[f3,f14]) ).
fof(f115,plain,
is_a_theorem(equivalent(sF2,equivalent(a,equivalent(b,sF1)))),
inference(superposition,[],[f65,f10]) ).
fof(f117,plain,
is_a_theorem(equivalent(equivalent(a,equivalent(b,sF1)),sF2)),
inference(resolution,[],[f115,f53]) ).
fof(f121,plain,
is_a_theorem(equivalent(equivalent(sF3,a),equivalent(b,sF1))),
inference(superposition,[],[f66,f8]) ).
fof(f183,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X0)))),
inference(resolution,[],[f64,f2]) ).
fof(f184,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X0,equivalent(X1,X2))))),
inference(resolution,[],[f64,f3]) ).
fof(f196,plain,
is_a_theorem(equivalent(sF3,equivalent(a,equivalent(b,sF1)))),
inference(resolution,[],[f64,f121]) ).
fof(f197,plain,
! [X0] : is_a_theorem(equivalent(sF4,equivalent(X0,equivalent(sF2,equivalent(sF3,X0))))),
inference(resolution,[],[f64,f69]) ).
fof(f244,plain,
! [X0,X1] :
( is_a_theorem(equivalent(X1,equivalent(X1,X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f183,f1]) ).
fof(f408,plain,
! [X0] : is_a_theorem(equivalent(equivalent(X0,equivalent(sF2,equivalent(sF3,X0))),sF4)),
inference(resolution,[],[f197,f53]) ).
fof(f430,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X1,X2))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f184,f1]) ).
fof(f481,plain,
! [X0,X1] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f244,f1]) ).
fof(f857,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(sF2,equivalent(sF3,X0))))
| is_a_theorem(sF4) ),
inference(resolution,[],[f408,f1]) ).
fof(f858,plain,
! [X0] : ~ is_a_theorem(equivalent(X0,equivalent(sF2,equivalent(sF3,X0)))),
inference(forward_subsumption_resolution,[],[f857,f15]) ).
fof(f1118,plain,
! [X0] :
( ~ is_a_theorem(equivalent(sF2,equivalent(sF3,X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f481,f858]) ).
fof(f1223,plain,
! [X0] :
( ~ is_a_theorem(equivalent(sF3,X0))
| ~ is_a_theorem(equivalent(X0,sF2)) ),
inference(resolution,[],[f1118,f430]) ).
fof(f1349,plain,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,sF1)),sF2)),
inference(resolution,[],[f1223,f196]) ).
fof(f1370,plain,
$false,
inference(forward_subsumption_resolution,[],[f1349,f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/5.38 % Computer : n002.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 27 15:19:28 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/5.41 Running first-order model finding
% 0.14/5.41 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
% 0.14/5.79 % (3656102)Will run a generic schedule for satisfiability detection.
% 0.14/5.79 % (3656112)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4097035771:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/5.79 % (3656108)% WARNING: option uhcvi not known.
% 0.14/5.79 % (3656107)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3342029448_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/5.79 % (3656109)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3328980424:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/5.79 % (3656108)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2143280728:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/5.79 % (3656110)dis+10_1_sil=32000:sp=arity:random_seed=1959407938:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/5.79 % (3656111)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3434421001:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/5.79 % (3656113)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1553152773:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/5.79 % TRYING [1]
% 0.14/5.79 % TRYING [2]
% 0.14/5.79 % TRYING [3]
% 0.14/5.79 % TRYING [4]
% 0.14/5.79 % (3656112)Instruction limit reached!
% 0.14/5.79 % (3656112)------------------------------
% 0.14/5.79 % (3656112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/5.79 % (3656112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/5.79 % (3656112)CaDiCaL version: 2.1.3
% 0.14/5.79 % (3656112)Termination reason: Instruction limit
% 0.14/5.79 % (3656112)Termination phase: Saturation
% 0.14/5.79 % (3656112)Time elapsed: 0.045 s
% 0.14/5.79 % (3656112)Peak memory usage: 13 MB
% 0.14/5.79 % (3656112)Instructions burned: 132 (million)
% 0.14/5.79 % (3656121)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1244003608:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.14/5.79 % TRYING [1]
% 0.14/5.79 % TRYING [2]
% 0.14/5.79 % TRYING [3]
% 0.14/5.79 % TRYING [4]
% 0.14/5.79 % (3656110)Instruction limit reached!
% 0.14/5.79 % (3656110)------------------------------
% 0.14/5.79 % (3656110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/5.79 % (3656110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/5.79 % (3656110)CaDiCaL version: 2.1.3
% 0.14/5.79 % (3656110)Termination reason: Instruction limit
% 0.14/5.79 % (3656110)Termination phase: Saturation
% 0.14/5.79 % (3656110)Time elapsed: 0.062 s
% 0.14/5.79 % (3656110)Peak memory usage: 11 MB
% 0.14/5.79 % (3656110)Instructions burned: 104 (million)
% 0.14/5.79 % (3656111)Instruction limit reached!
% 0.14/5.79 % (3656111)------------------------------
% 0.14/5.79 % (3656111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/5.79 % (3656111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/5.79 % (3656111)CaDiCaL version: 2.1.3
% 0.14/5.79 % (3656111)Termination reason: Instruction limit
% 0.14/5.79 % (3656111)Termination phase: Saturation
% 0.14/5.79 % (3656111)Time elapsed: 0.073 s
% 0.14/5.79 % (3656111)Peak memory usage: 12 MB
% 0.14/5.79 % (3656111)Instructions burned: 117 (million)
% 0.14/5.79 % (3656123)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3042439747:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/5.79 % (3656124)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=3751952771:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.14/5.79 % TRYING [5]
% 0.14/5.79 % (3656113)Instruction limit reached!
% 0.14/5.79 % (3656113)------------------------------
% 0.14/5.79 % (3656113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/5.79 % (3656113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/5.79 % (3656113)CaDiCaL version: 2.1.3
% 0.14/5.79 % (3656113)Termination reason: Instruction limit
% 0.14/5.79 % (3656113)Termination phase: Saturation
% 0.14/5.79 % (3656113)Time elapsed: 0.123 s
% 0.14/5.79 % (3656113)Peak memory usage: 12 MB
% 0.14/5.79 % (3656113)Instructions burned: 159 (million)
% 0.14/5.79 % TRYING [5]
% 0.14/5.79 % (3656127)ott-21_1_sil=16000:fs=off:random_seed=4170052260:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.14/5.79 % (3656123)Instruction limit reached!
% 0.14/5.79 % (3656123)------------------------------
% 0.14/5.79 % (3656123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/5.79 % (3656123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/5.79 % (3656123)CaDiCaL version: 2.1.3
% 0.14/5.79 % (3656123)Termination reason: Instruction limit
% 0.14/5.79 % (3656123)Termination phase: Saturation
% 0.14/5.79 % (3656123)Time elapsed: 0.081 s
% 0.14/5.79 % (3656123)Peak memory usage: 12 MB
% 0.14/5.79 % (3656123)Instructions burned: 132 (million)
% 0.14/5.79 % (3656129)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=339148887:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.14/5.79 % (3656127)Instruction limit reached!
% 0.14/5.79 % (3656127)------------------------------
% 0.14/5.79 % (3656127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/5.79 % (3656127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/5.79 % (3656127)CaDiCaL version: 2.1.3
% 0.14/5.79 % (3656127)Termination reason: Instruction limit
% 0.14/5.79 % (3656127)Termination phase: Saturation
% 0.14/5.79 % (3656127)Time elapsed: 0.090 s
% 0.14/5.79 % (3656127)Peak memory usage: 13 MB
% 0.14/5.79 % (3656127)Instructions burned: 180 (million)
% 0.14/5.79 % (3656131)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=807889672:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 0.14/5.79 % TRYING [1]
% 0.14/5.79 % TRYING [2]
% 0.14/5.79 % TRYING [3]
% 0.14/5.79 % TRYING [4]
% 0.14/5.79 % (3656121)Instruction limit reached!
% 0.14/5.79 % (3656121)------------------------------
% 0.14/5.79 % (3656121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/5.79 % (3656121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/5.79 % (3656121)CaDiCaL version: 2.1.3
% 0.14/5.79 % (3656121)Termination reason: Instruction limit
% 0.14/5.79 % (3656121)Termination phase: Finite model building SAT solving
% 0.14/5.79 % (3656121)Time elapsed: 0.232 s
% 0.14/5.79 % (3656121)Peak memory usage: 13 MB
% 0.14/5.79 % (3656121)Instructions burned: 714 (million)
% 0.14/5.79 % (3656133)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4130568180:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 0.14/5.79 % TRYING [5]
% 0.14/5.79 % (3656133) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3656102-3656133"...
% 0.14/5.79 % (3656133)...printing done.
% 0.14/5.79 % (3656133)Refutation found. Thanks to Tanya!
% 0.14/5.79 % SZS status Unsatisfiable for theBenchmark
% 0.14/5.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/5.79 % (3656133)------------------------------
% 0.14/5.79 % (3656133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/5.79 % (3656133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/5.79 % (3656133)CaDiCaL version: 2.1.3
% 0.14/5.79 % (3656133)Termination reason: Refutation
% 0.14/5.79 % (3656133)Time elapsed: 0.032 s
% 0.14/5.79 % (3656133)Peak memory usage: 12 MB
% 0.14/5.79 % (3656133)Instructions burned: 49 (million)
% 0.14/5.79 % (3656102)Success in time 0.366 s
% 0.14/5.79 % Vampire exiting
%------------------------------------------------------------------------------