%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL025-1 : TPTP v9.3.1. Released v1.0.0.
% 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 11:57:27 AM UTC 2026
% Result : Unsatisfiable 6.01s 1.35s
% Output : Refutation 6.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 67 ( 34 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 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 : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_2) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_6) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_1) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f23,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f4,f1]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f23,f1]) ).
fof(f25,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[],[f24,f2]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f24,f6]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f24,f23]) ).
fof(f30,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f25,f2]) ).
fof(f61,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f26,f2]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f61,f26]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f61,f1]) ).
fof(f73,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f67,f2]) ).
fof(f351,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,implies(X0,X1)))
| is_a_theorem(implies(X3,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f23,f26]) ).
fof(f369,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f24,f30]) ).
fof(f381,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),X2))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f369,f73]) ).
fof(f470,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X0),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(resolution,[],[f381,f1]) ).
fof(f498,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f470,f4]) ).
fof(f641,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f28,f6]) ).
fof(f6703,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f641,f30]) ).
fof(f6779,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f6703,f1]) ).
fof(f7845,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X0),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f66,f2]) ).
fof(f7996,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f7845,f30]) ).
fof(f11386,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f351,f2]) ).
fof(f11837,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f11386,f7996]) ).
fof(f12041,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) ),
inference(resolution,[],[f11837,f6779]) ).
fof(f12230,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f12041,f498]) ).
fof(f12506,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f12230,f4]) ).
fof(f21217,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f12506,f11386]) ).
fof(f23852,plain,
$false,
inference(resolution,[],[f21217,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL025-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 % Computer : n006.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 15:17:25 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.45 Running first-order model finding
% 0.15/0.45 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
% 6.01/1.35 % (3083916)Will run a generic schedule for satisfiability detection.
% 6.01/1.35 % (3083921)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=293901595_2999 on theBenchmark for (2999ds/0Mi)
% 6.01/1.35 % TRYING [1]
% 6.01/1.35 % TRYING [2]
% 6.01/1.35 % TRYING [3]
% 6.01/1.35 % TRYING [4]
% 6.01/1.35 % (3083922)% WARNING: option uhcvi not known.
% 6.01/1.35 % (3083924)dis+10_1_sil=32000:sp=arity:random_seed=2707042722:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.01/1.35 % (3083923)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2813874760:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.01/1.35 % (3083926)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=884272312:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.01/1.35 % (3083922)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=101510268:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.01/1.35 % (3083925)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1153968160:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.01/1.35 % (3083927)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3073285556:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.01/1.35 % TRYING [5]
% 6.01/1.35 % (3083924)Instruction limit reached!
% 6.01/1.35 % (3083924)------------------------------
% 6.01/1.35 % (3083924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.35 % (3083924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.35 % (3083924)CaDiCaL version: 2.1.3
% 6.01/1.35 % (3083924)Termination reason: Instruction limit
% 6.01/1.35 % (3083924)Termination phase: Saturation
% 6.01/1.35 % (3083924)Time elapsed: 0.102 s
% 6.01/1.35 % (3083924)Peak memory usage: 11 MB
% 6.01/1.35 % (3083924)Instructions burned: 103 (million)
% 6.01/1.35 % (3083925)Instruction limit reached!
% 6.01/1.35 % (3083925)------------------------------
% 6.01/1.35 % (3083925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.35 % (3083925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.35 % (3083925)CaDiCaL version: 2.1.3
% 6.01/1.35 % (3083925)Termination reason: Instruction limit
% 6.01/1.35 % (3083925)Termination phase: Saturation
% 6.01/1.35 % (3083925)Time elapsed: 0.113 s
% 6.01/1.35 % (3083925)Peak memory usage: 11 MB
% 6.01/1.35 % (3083925)Instructions burned: 116 (million)
% 6.01/1.35 % (3083926)Instruction limit reached!
% 6.01/1.35 % (3083926)------------------------------
% 6.01/1.35 % (3083926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.35 % (3083926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.35 % (3083926)CaDiCaL version: 2.1.3
% 6.01/1.35 % (3083926)Termination reason: Instruction limit
% 6.01/1.35 % (3083926)Termination phase: Saturation
% 6.01/1.35 % (3083926)Time elapsed: 0.133 s
% 6.01/1.35 % (3083926)Peak memory usage: 12 MB
% 6.01/1.35 % (3083926)Instructions burned: 131 (million)
% 6.01/1.35 % (3083935)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2094846591:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 6.01/1.35 % TRYING [1]
% 6.01/1.35 % TRYING [2]
% 6.01/1.35 % TRYING [3]
% 6.01/1.35 % TRYING [4]
% 6.01/1.35 % (3083936)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=577616587:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.01/1.35 % (3083927)Instruction limit reached!
% 6.01/1.35 % (3083927)------------------------------
% 6.01/1.35 % (3083927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.35 % (3083927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.35 % (3083927)CaDiCaL version: 2.1.3
% 6.01/1.35 % (3083927)Termination reason: Instruction limit
% 6.01/1.35 % (3083927)Termination phase: Saturation
% 6.01/1.35 % (3083927)Time elapsed: 0.170 s
% 6.01/1.35 % (3083927)Peak memory usage: 12 MB
% 6.01/1.35 % (3083927)Instructions burned: 159 (million)
% 6.01/1.35 % (3083937)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=2573691284:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.01/1.35 % (3083941)ott-21_1_sil=16000:fs=off:random_seed=2895916572:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 6.01/1.35 % TRYING [5]
% 6.01/1.35 % (3083936)Instruction limit reached!
% 6.01/1.35 % (3083936)------------------------------
% 6.01/1.35 % (3083936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.35 % (3083936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.35 % (3083936)CaDiCaL version: 2.1.3
% 6.01/1.35 % (3083936)Termination reason: Instruction limit
% 6.01/1.35 % (3083936)Termination phase: Saturation
% 6.01/1.35 % (3083936)Time elapsed: 0.129 s
% 6.01/1.35 % (3083936)Peak memory usage: 11 MB
% 6.01/1.35 % (3083936)Instructions burned: 132 (million)
% 6.01/1.35 % (3083943)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=423920012:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 6.01/1.35 % (3083941)Instruction limit reached!
% 6.01/1.35 % (3083941)------------------------------
% 6.01/1.35 % (3083941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.35 % (3083941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.35 % (3083941)CaDiCaL version: 2.1.3
% 6.01/1.35 % (3083941)Termination reason: Instruction limit
% 6.01/1.35 % (3083941)Termination phase: Saturation
% 6.01/1.35 % (3083941)Time elapsed: 0.170 s
% 6.01/1.35 % (3083941)Peak memory usage: 13 MB
% 6.01/1.35 % (3083941)Instructions burned: 180 (million)
% 6.01/1.35 % (3083945)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4140493079:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 6.01/1.35 % TRYING [1]
% 6.01/1.35 % TRYING [2]
% 6.01/1.35 % TRYING [3]
% 6.01/1.35 % TRYING [4]
% 6.01/1.35 % TRYING [6]
% 6.01/1.35 % TRYING [5]
% 6.01/1.35 % (3083935)Instruction limit reached!
% 6.01/1.35 % (3083935)------------------------------
% 6.01/1.35 % (3083935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.35 % (3083935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.35 % (3083935)CaDiCaL version: 2.1.3
% 6.01/1.35 % (3083935)Termination reason: Instruction limit
% 6.01/1.35 % (3083935)Termination phase: Finite model building SAT solving
% 6.01/1.35 % (3083935)Time elapsed: 0.616 s
% 6.01/1.35 % (3083935)Peak memory usage: 15 MB
% 6.01/1.35 % (3083935)Instructions burned: 714 (million)
% 6.01/1.35 % (3083947)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2718441690:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 6.01/1.35 % (3083943)Instruction limit reached!
% 6.01/1.35 % (3083943)------------------------------
% 6.01/1.35 % (3083943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.35 % (3083943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.35 % (3083943)CaDiCaL version: 2.1.3
% 6.01/1.35 % (3083943)Termination reason: Instruction limit
% 6.01/1.35 % (3083943)Termination phase: Saturation
% 6.01/1.35 % (3083943)Time elapsed: 0.480 s
% 6.01/1.35 % (3083943)Peak memory usage: 14 MB
% 6.01/1.35 % (3083943)Instructions burned: 477 (million)
% 6.01/1.35 % TRYING [6]
% 6.01/1.35 % (3083937) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3083916-3083937"...
% 6.01/1.35 % (3083937)...printing done.
% 6.01/1.35 % (3083937)Refutation found. Thanks to Tanya!
% 6.01/1.35 % SZS status Unsatisfiable for theBenchmark
% 6.01/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 6.01/1.35 % (3083937)------------------------------
% 6.01/1.35 % (3083937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.35 % (3083937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.35 % (3083937)CaDiCaL version: 2.1.3
% 6.01/1.35 % (3083937)Termination reason: Refutation
% 6.01/1.35 % (3083937)Time elapsed: 0.667 s
% 6.01/1.35 % (3083937)Peak memory usage: 16 MB
% 6.01/1.35 % (3083937)Instructions burned: 669 (million)
% 6.01/1.35 % (3083916)Success in time 0.882 s
% 6.01/1.35 % Vampire exiting
%------------------------------------------------------------------------------