%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:50:55 AM UTC 2026
% Result : Unsatisfiable 4.96s 1.78s
% Output : Refutation 4.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 17 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 17 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 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 : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yqj) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_yqf) ).
fof(f4,plain,
! [X2,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))),
inference(unit_resulting_resolution,[],[f1,f2,f3]) ).
fof(f6,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,c)),equivalent(equivalent(c,b),X0)),equivalent(a,b))),
inference(unit_resulting_resolution,[],[f1,f2,f4]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2))),equivalent(equivalent(equivalent(X3,equivalent(a,c)),equivalent(equivalent(c,b),X3)),equivalent(a,b)))),
inference(unit_resulting_resolution,[],[f1,f2,f6]) ).
fof(f11,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,a),equivalent(b,X0)),equivalent(equivalent(X1,equivalent(a,c)),equivalent(equivalent(c,b),X1)))),
inference(unit_resulting_resolution,[],[f1,f2,f7]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2))),equivalent(equivalent(equivalent(X3,a),equivalent(b,X3)),equivalent(equivalent(X4,equivalent(a,c)),equivalent(equivalent(c,b),X4))))),
inference(unit_resulting_resolution,[],[f1,f2,f11]) ).
fof(f38,plain,
! [X2,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(a,c))),equivalent(equivalent(equivalent(c,b),X1),X0)),equivalent(equivalent(X2,a),equivalent(b,X2)))),
inference(unit_resulting_resolution,[],[f1,f2,f17]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4,X5] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2))),equivalent(equivalent(equivalent(X3,equivalent(X4,equivalent(a,c))),equivalent(equivalent(equivalent(c,b),X4),X3)),equivalent(equivalent(X5,a),equivalent(b,X5))))),
inference(unit_resulting_resolution,[],[f1,f2,f38]) ).
fof(f148,plain,
! [X2,X3,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,a)),equivalent(equivalent(b,X1),X0)),equivalent(equivalent(X2,equivalent(X3,equivalent(a,c))),equivalent(equivalent(equivalent(c,b),X3),X2)))),
inference(unit_resulting_resolution,[],[f1,f2,f49]) ).
fof(f153,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(b,X0),equivalent(equivalent(c,b),X1)),equivalent(equivalent(X0,a),equivalent(X1,equivalent(a,c))))),
inference(unit_resulting_resolution,[],[f1,f2,f148]) ).
fof(f157,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(c,b),b),equivalent(equivalent(a,c),a))),
inference(unit_resulting_resolution,[],[f1,f2,f153]) ).
fof(f160,plain,
! [X2,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2))),equivalent(equivalent(equivalent(c,b),b),equivalent(equivalent(a,c),a)))),
inference(unit_resulting_resolution,[],[f1,f2,f157]) ).
fof(f170,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,c)),equivalent(a,X0)),equivalent(equivalent(c,b),b))),
inference(unit_resulting_resolution,[],[f1,f2,f160]) ).
fof(f173,plain,
! [X2,X3,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2))),equivalent(equivalent(equivalent(X3,equivalent(a,c)),equivalent(a,X3)),equivalent(equivalent(c,b),b)))),
inference(unit_resulting_resolution,[],[f1,f2,f170]) ).
fof(f224,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(c,b)),equivalent(b,X0)),equivalent(equivalent(X1,equivalent(a,c)),equivalent(a,X1)))),
inference(unit_resulting_resolution,[],[f1,f2,f173]) ).
fof(f229,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f2,f2,f224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.50 % Computer : n004.cluster.edu
% 0.25/0.50 % Model : x86_64 x86_64
% 0.25/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.50 % Memory : 8046.5625MB
% 0.25/0.50 % OS : Linux 6.8.0-71-generic
% 0.25/0.50 % CPULimit : 300
% 0.25/0.50 % WCLimit : 300
% 0.25/0.50 % DateTime : Sun Sep 27 15:17:08 UTC 2026
% 0.25/0.50 % CPUTime :
% 0.25/0.50 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.96/1.78 % (3647985)Input is clausal, will run a generic CNF schedule.
% 4.96/1.78 % (3648078)lrs+10_1_sil=8000:sp=occurrence:random_seed=1399993303:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.96/1.78 % (3648081)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3438348328:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.96/1.78 % (3648077)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1773546219:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.96/1.78 % (3648080)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1804037533:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.96/1.78 % (3648075)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3781498603:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.96/1.78 % (3648073)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=2907605437:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.96/1.78 % (3648078)Instruction limit reached!
% 4.96/1.78 % (3648078)------------------------------
% 4.96/1.78 % (3648078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.78 % (3648078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.78 % (3648078)CaDiCaL version: 2.1.3
% 4.96/1.78 % (3648078)Termination reason: Instruction limit
% 4.96/1.78 % (3648078)Termination phase: Saturation
% 4.96/1.78 % (3648078)Time elapsed: 0.038 s
% 4.96/1.78 % (3648078)Peak memory usage: 88 MB
% 4.96/1.78 % (3648078)Instructions burned: 109 (million)
% 4.96/1.78 % (3648082)dis-21_1_sil=8000:lcm=predicate:random_seed=2219886265: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)
% 4.96/1.78 % (3648080)Instruction limit reached!
% 4.96/1.78 % (3648080)------------------------------
% 4.96/1.78 % (3648080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.78 % (3648080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.78 % (3648080)CaDiCaL version: 2.1.3
% 4.96/1.78 % (3648080)Termination reason: Instruction limit
% 4.96/1.78 % (3648080)Termination phase: Saturation
% 4.96/1.78 % (3648080)Time elapsed: 0.070 s
% 4.96/1.78 % (3648080)Peak memory usage: 88 MB
% 4.96/1.78 % (3648080)Instructions burned: 114 (million)
% 4.96/1.78 % (3648082)Instruction limit reached!
% 4.96/1.78 % (3648082)------------------------------
% 4.96/1.78 % (3648082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.78 % (3648082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.78 % (3648082)CaDiCaL version: 2.1.3
% 4.96/1.78 % (3648082)Termination reason: Instruction limit
% 4.96/1.78 % (3648082)Termination phase: Saturation
% 4.96/1.78 % (3648082)Time elapsed: 0.070 s
% 4.96/1.78 % (3648082)Peak memory usage: 88 MB
% 4.96/1.78 % (3648082)Instructions burned: 117 (million)
% 4.96/1.78 % (3648129)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=3870353907:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.96/1.78 % (3648129)Refutation not found, incomplete strategy
% 4.96/1.78 % (3648129)------------------------------
% 4.96/1.78 % (3648129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.78 % (3648129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.78 % (3648129)CaDiCaL version: 2.1.3
% 4.96/1.78 % (3648129)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.78 % (3648129)Time elapsed: 0.0000 s
% 4.96/1.78 % (3648129)Peak memory usage: 87 MB
% 4.96/1.78 % (3648081)Instruction limit reached!
% 4.96/1.78 % (3648081)------------------------------
% 4.96/1.78 % (3648081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.78 % (3648081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.78 % (3648081)CaDiCaL version: 2.1.3
% 4.96/1.78 % (3648081)Termination reason: Instruction limit
% 4.96/1.78 % (3648081)Termination phase: Saturation
% 4.96/1.78 % (3648081)Time elapsed: 0.124 s
% 4.96/1.78 % (3648081)Peak memory usage: 89 MB
% 4.96/1.78 % (3648081)Instructions burned: 181 (million)
% 4.96/1.78 % (3648152)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1932301939: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)
% 4.96/1.78 % (3648152)First to succeed.
% 4.96/1.78 % (3648152)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3647985"
% 4.96/1.78 % (3648154)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3666311768:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.96/1.78 % (3648154)Refutation not found, incomplete strategy
% 4.96/1.78 % (3648154)------------------------------
% 4.96/1.78 % (3648154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.78 % (3648154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.78 % (3648154)CaDiCaL version: 2.1.3
% 4.96/1.78 % (3648154)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.78 % (3648154)Time elapsed: 0.001 s
% 4.96/1.78 % (3648154)Peak memory usage: 87 MB
% 4.96/1.78 % (3648129)------------------------------
% 4.96/1.78 % (3648129)------------------------------
% 4.96/1.78 % (3648155)lrs+10_64_to=lpo:sil=8000:random_seed=3856444524:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.96/1.78 % (3648158)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1310457219:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.96/1.78 % (3648158)Also succeeded, but the first one will report.
% 4.96/1.78 % (3648155)Instruction limit reached!
% 4.96/1.78 % (3648155)------------------------------
% 4.96/1.78 % (3648155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.78 % (3648155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.78 % (3648155)CaDiCaL version: 2.1.3
% 4.96/1.78 % (3648155)Termination reason: Instruction limit
% 4.96/1.78 % (3648155)Termination phase: Saturation
% 4.96/1.78 % (3648155)Time elapsed: 0.084 s
% 4.96/1.78 % (3648155)Peak memory usage: 89 MB
% 4.96/1.78 % (3648155)Instructions burned: 126 (million)
% 4.96/1.78 % (3648154)------------------------------
% 4.96/1.78 % (3648154)------------------------------
% 4.96/1.78 % (3648152)Refutation found. Thanks to Tanya!
% 4.96/1.78 % SZS status Unsatisfiable for theBenchmark
% 4.96/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 4.96/1.78 % (3648152)------------------------------
% 4.96/1.78 % (3648152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.78 % (3648152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.78 % (3648152)CaDiCaL version: 2.1.3
% 4.96/1.78 % (3648152)Termination reason: Refutation
% 4.96/1.78 % (3648152)Time elapsed: 0.015 s
% 4.96/1.78 % (3648152)Peak memory usage: 88 MB
% 4.96/1.78 % (3648152)Instructions burned: 22 (million)
% 4.96/1.78 % (3648152)------------------------------
% 4.96/1.78 % (3648152)------------------------------
% 4.96/1.78 % (3647985)Success in time 0.617 s
% 4.96/1.78 % Vampire exiting
%------------------------------------------------------------------------------