%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 11:51:12 AM UTC 2026
% Result : Unsatisfiable 3.63s 1.46s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 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,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_1) ).
fof(f5,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)))
| is_a_theorem(X2) ),
inference(resolution,[],[f3,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f7,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(resolution,[],[f5,f2]) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))),X3))
| is_a_theorem(X3) ),
inference(resolution,[],[f6,f5]) ).
fof(f11,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f7,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X3,X1),equivalent(X3,X2))))),
inference(resolution,[],[f8,f7]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f11,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X4))
| is_a_theorem(equivalent(X3,X4)) ),
inference(resolution,[],[f18,f2]) ).
fof(f25,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,equivalent(X3,X0)),equivalent(X2,equivalent(X3,X1))))),
inference(resolution,[],[f13,f8]) ).
fof(f38,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X3))),X4))
| is_a_theorem(equivalent(equivalent(X2,X3),X4)) ),
inference(resolution,[],[f25,f18]) ).
fof(f139,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))),X3),X3)),
inference(resolution,[],[f23,f3]) ).
fof(f358,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
inference(resolution,[],[f139,f38]) ).
fof(f722,plain,
$false,
inference(resolution,[],[f358,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 15:27:46 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.63/1.46 % (3706225)Input is clausal, will run a generic CNF schedule.
% 3.63/1.46 % (3706236)dis-21_1_sil=8000:lcm=predicate:random_seed=1165136135:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.63/1.46 % (3706230)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2353593358:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.63/1.46 % (3706232)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=249648296:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.63/1.46 % (3706231)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3999924467:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.63/1.46 % (3706233)lrs+10_1_sil=8000:sp=occurrence:random_seed=3574936267:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.63/1.46 % (3706234)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2776821386:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.63/1.46 % (3706235)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=158796064:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.63/1.46 % (3706236)Instruction limit reached!
% 3.63/1.46 % (3706236)------------------------------
% 3.63/1.46 % (3706236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.46 % (3706236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.46 % (3706236)CaDiCaL version: 2.1.3
% 3.63/1.46 % (3706236)Termination reason: Instruction limit
% 3.63/1.46 % (3706236)Termination phase: Saturation
% 3.63/1.46 % (3706236)Time elapsed: 0.042 s
% 3.63/1.46 % (3706236)Peak memory usage: 88 MB
% 3.63/1.46 % (3706236)Instructions burned: 119 (million)
% 3.63/1.46 % (3706233)First to succeed.
% 3.63/1.46 % (3706233)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3706225"
% 3.63/1.46 % (3706234)Instruction limit reached!
% 3.63/1.46 % (3706234)------------------------------
% 3.63/1.46 % (3706234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.46 % (3706234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.46 % (3706234)CaDiCaL version: 2.1.3
% 3.63/1.46 % (3706234)Termination reason: Instruction limit
% 3.63/1.46 % (3706234)Termination phase: Saturation
% 3.63/1.46 % (3706234)Time elapsed: 0.076 s
% 3.63/1.46 % (3706234)Peak memory usage: 88 MB
% 3.63/1.46 % (3706234)Instructions burned: 115 (million)
% 3.63/1.46 % (3706244)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=926293039:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.63/1.46 % (3706244)Refutation not found, incomplete strategy
% 3.63/1.46 % (3706244)------------------------------
% 3.63/1.46 % (3706244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.46 % (3706244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.46 % (3706244)CaDiCaL version: 2.1.3
% 3.63/1.46 % (3706244)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.46 % (3706244)Time elapsed: 0.0000 s
% 3.63/1.46 % (3706244)Peak memory usage: 87 MB
% 3.63/1.46 % (3706235)Instruction limit reached!
% 3.63/1.46 % (3706235)------------------------------
% 3.63/1.46 % (3706235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.46 % (3706235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.46 % (3706235)CaDiCaL version: 2.1.3
% 3.63/1.46 % (3706235)Termination reason: Instruction limit
% 3.63/1.46 % (3706235)Termination phase: Saturation
% 3.63/1.46 % (3706235)Time elapsed: 0.127 s
% 3.63/1.46 % (3706235)Peak memory usage: 89 MB
% 3.63/1.46 % (3706235)Instructions burned: 180 (million)
% 3.63/1.46 % (3706245)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=332084914:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.63/1.46 % (3706244)------------------------------
% 3.63/1.46 % (3706244)------------------------------
% 3.63/1.46 % (3706247)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3691943215:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.63/1.46 % (3706233)Refutation found. Thanks to Tanya!
% 3.63/1.46 % SZS status Unsatisfiable for theBenchmark
% 3.63/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.46 % (3706233)------------------------------
% 3.63/1.46 % (3706233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.46 % (3706233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.46 % (3706233)CaDiCaL version: 2.1.3
% 3.63/1.46 % (3706233)Termination reason: Refutation
% 3.63/1.46 % (3706233)Time elapsed: 0.025 s
% 3.63/1.46 % (3706233)Peak memory usage: 88 MB
% 3.63/1.46 % (3706233)Instructions burned: 37 (million)
% 3.63/1.46 % (3706233)------------------------------
% 3.63/1.46 % (3706233)------------------------------
% 3.63/1.46 % (3706225)Success in time 0.429 s
% 3.63/1.46 % Vampire exiting
%------------------------------------------------------------------------------