%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL248-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 11:58:11 AM UTC 2026
% Result : Unsatisfiable 1.19s 0.76s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 26 unt; 0 def)
% Number of atoms : 58 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax',and_defn) ).
fof(f10,negated_conjecture,
~ theorem(implies(and(p,q),implies(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f16,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f17,plain,
~ theorem(or(not(not(or(not(p),not(q)))),or(not(p),q))),
inference(definition_unfolding,[],[f10,f6,f9,f6]) ).
fof(f18,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f11,f7]) ).
fof(f19,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f20,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f13,f7]) ).
fof(f21,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f16,f18]) ).
fof(f22,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f16,f19]) ).
fof(f27,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f20,f16]) ).
fof(f80,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f14,f7]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f80,f16]) ).
fof(f84,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f81,f22]) ).
fof(f85,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f81,f19]) ).
fof(f91,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f85,f21]) ).
fof(f129,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f27,f91]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) ),
inference(resolution,[],[f84,f16]) ).
fof(f210,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) ),
inference(resolution,[],[f164,f20]) ).
fof(f292,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f15,f7]) ).
fof(f315,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f81,f210]) ).
fof(f363,plain,
~ theorem(or(q,not(not(or(not(p),not(q)))))),
inference(resolution,[],[f315,f17]) ).
fof(f474,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f292,f16]) ).
fof(f524,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f474,f16]) ).
fof(f1681,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f524,f129]) ).
fof(f1788,plain,
~ theorem(or(q,or(not(p),not(q)))),
inference(resolution,[],[f1681,f363]) ).
fof(f1792,plain,
~ theorem(or(q,not(q))),
inference(resolution,[],[f1788,f84]) ).
fof(f1796,plain,
$false,
inference(forward_subsumption_resolution,[],[f1792,f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL248-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.46 % Computer : n004.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 15:30:37 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.52 Running first-order model finding
% 0.24/0.52 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
% 1.19/0.76 % (3672309)Will run a generic schedule for satisfiability detection.
% 1.19/0.76 % (3672319)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1369180440:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.19/0.76 % (3672316)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3104030756:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.19/0.76 % (3672314)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3471060331_2999 on theBenchmark for (2999ds/0Mi)
% 1.19/0.76 % (3672318)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3991406103:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.19/0.76 % (3672317)dis+10_1_sil=32000:sp=arity:random_seed=931524339:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.19/0.76 % (3672320)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3613639402:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.19/0.76 % TRYING [1]
% 1.19/0.76 % TRYING [2]
% 1.19/0.76 % TRYING [3]
% 1.19/0.76 % (3672315)% WARNING: option uhcvi not known.
% 1.19/0.76 % (3672315)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1147885327:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.19/0.76 % TRYING [4]
% 1.19/0.76 % (3672319)Instruction limit reached!
% 1.19/0.76 % (3672319)------------------------------
% 1.19/0.76 % (3672319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.76 % (3672319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.76 % (3672319)CaDiCaL version: 2.1.3
% 1.19/0.76 % (3672319)Termination reason: Instruction limit
% 1.19/0.76 % (3672319)Termination phase: Saturation
% 1.19/0.76 % (3672319)Time elapsed: 0.065 s
% 1.19/0.76 % (3672319)Peak memory usage: 13 MB
% 1.19/0.76 % (3672319)Instructions burned: 132 (million)
% 1.19/0.76 % (3672328)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3577822017:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.19/0.76 % TRYING [1]
% 1.19/0.76 % TRYING [2]
% 1.19/0.76 % TRYING [3]
% 1.19/0.76 % (3672318)Instruction limit reached!
% 1.19/0.76 % (3672318)------------------------------
% 1.19/0.76 % (3672318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.76 % (3672318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.76 % (3672318)CaDiCaL version: 2.1.3
% 1.19/0.76 % (3672318)Termination reason: Instruction limit
% 1.19/0.76 % (3672318)Termination phase: Saturation
% 1.19/0.76 % (3672318)Time elapsed: 0.088 s
% 1.19/0.76 % (3672318)Peak memory usage: 11 MB
% 1.19/0.76 % (3672318)Instructions burned: 116 (million)
% 1.19/0.76 % TRYING [4]
% 1.19/0.76 % (3672317)Instruction limit reached!
% 1.19/0.76 % (3672317)------------------------------
% 1.19/0.76 % (3672317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.76 % (3672317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.76 % (3672317)CaDiCaL version: 2.1.3
% 1.19/0.76 % (3672317)Termination reason: Instruction limit
% 1.19/0.76 % (3672317)Termination phase: Saturation
% 1.19/0.76 % (3672317)Time elapsed: 0.099 s
% 1.19/0.76 % (3672317)Peak memory usage: 12 MB
% 1.19/0.76 % (3672317)Instructions burned: 103 (million)
% 1.19/0.76 % (3672330)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=241929227:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.19/0.76 % (3672331)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=2732083136:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.19/0.76 % (3672320)Instruction limit reached!
% 1.19/0.76 % (3672320)------------------------------
% 1.19/0.76 % (3672320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.76 % (3672320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.76 % (3672320)CaDiCaL version: 2.1.3
% 1.19/0.76 % (3672320)Termination reason: Instruction limit
% 1.19/0.76 % (3672320)Termination phase: Saturation
% 1.19/0.76 % (3672320)Time elapsed: 0.175 s
% 1.19/0.76 % (3672320)Peak memory usage: 13 MB
% 1.19/0.76 % (3672320)Instructions burned: 159 (million)
% 1.19/0.76 % (3672331) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3672309-3672331"...
% 1.19/0.76 % (3672331)...printing done.
% 1.19/0.76 % (3672331)Refutation found. Thanks to Tanya!
% 1.19/0.76 % SZS status Unsatisfiable for theBenchmark
% 1.19/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.77 % (3672331)------------------------------
% 1.19/0.77 % (3672331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.77 % (3672331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.77 % (3672331)CaDiCaL version: 2.1.3
% 1.19/0.77 % (3672331)Termination reason: Refutation
% 1.19/0.77 % (3672331)Time elapsed: 0.045 s
% 1.19/0.77 % (3672331)Peak memory usage: 12 MB
% 1.19/0.77 % (3672331)Instructions burned: 49 (million)
% 1.19/0.77 % (3672309)Success in time 0.231 s
% 1.19/0.77 % Vampire exiting
%------------------------------------------------------------------------------