%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL225-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 11:58:05 AM UTC 2026
% Result : Unsatisfiable 5.40s 1.40s
% Output : Refutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ theorem(or(not(X2),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f3,f6]) ).
fof(f13,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f7,f1]) ).
fof(f14,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f7,f3]) ).
fof(f15,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f7,f2]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f4,f7]) ).
fof(f18,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f5,f7]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ axiom(or(not(X0),or(X1,X2)))
| theorem(or(not(X0),or(X2,X1))) ),
inference(resolution,[],[f12,f8]) ).
fof(f34,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f16,f15]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ axiom(or(not(X2),or(X3,X0)))
| ~ theorem(or(not(X0),X1))
| theorem(or(not(X2),or(X3,X1))) ),
inference(resolution,[],[f18,f8]) ).
fof(f81,plain,
! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f34,f13]) ).
fof(f113,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f28,f2]) ).
fof(f149,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),or(X2,X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f55,f3]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X3),X1)),or(not(or(X0,X3)),X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[],[f55,f5]) ).
fof(f310,plain,
! [X2,X0,X1] :
( theorem(or(X2,or(not(or(X0,X2)),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f149,f16]) ).
fof(f485,plain,
! [X2,X3,X0,X1,X4] :
( ~ axiom(or(not(X3),or(not(X4),X1)))
| ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(X3),or(not(or(X0,X4)),X2))) ),
inference(resolution,[],[f152,f8]) ).
fof(f1012,plain,
! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X2)),X1),X2))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f310,f14]) ).
fof(f2268,plain,
! [X2,X3,X0,X1,X4] :
( theorem(or(not(or(X1,or(not(X4),X2))),or(not(or(X0,X4)),X3)))
| ~ theorem(or(not(or(X0,or(X1,X2))),X3)) ),
inference(resolution,[],[f485,f4]) ).
fof(f3868,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f1012,f81]) ).
fof(f16592,plain,
~ theorem(or(not(or(not(p),or(not(p),r))),or(not(p),r))),
inference(resolution,[],[f2268,f9]) ).
fof(f19743,plain,
~ theorem(or(not(not(p)),or(not(p),r))),
inference(resolution,[],[f3868,f16592]) ).
fof(f19751,plain,
$false,
inference(forward_subsumption_resolution,[],[f19743,f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL225-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48 % Computer : n003.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sun Sep 27 15:29:41 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.27/0.54 Running first-order model finding
% 0.27/0.54 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
% 5.40/1.40 % (710683)Will run a generic schedule for satisfiability detection.
% 5.40/1.40 % (710688)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=613252198_2999 on theBenchmark for (2999ds/0Mi)
% 5.40/1.40 % TRYING [1]
% 5.40/1.40 % TRYING [2]
% 5.40/1.40 % TRYING [3]
% 5.40/1.40 % (710689)% WARNING: option uhcvi not known.
% 5.40/1.40 % (710689)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3209195476:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.40/1.40 % (710691)dis+10_1_sil=32000:sp=arity:random_seed=2564451316:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.40/1.40 % (710690)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2338078563:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.40/1.40 % (710694)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2500111445:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.40/1.40 % (710692)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2076099736:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.40/1.40 % (710693)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3208332097:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.40/1.40 % TRYING [4]
% 5.40/1.40 % (710692)Instruction limit reached!
% 5.40/1.40 % (710692)------------------------------
% 5.40/1.40 % (710692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.40 % (710692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.40 % (710692)CaDiCaL version: 2.1.3
% 5.40/1.40 % (710692)Termination reason: Instruction limit
% 5.40/1.40 % (710692)Termination phase: Saturation
% 5.40/1.40 % (710692)Time elapsed: 0.091 s
% 5.40/1.40 % (710692)Peak memory usage: 11 MB
% 5.40/1.40 % (710692)Instructions burned: 116 (million)
% 5.40/1.40 % (710691)Instruction limit reached!
% 5.40/1.40 % (710691)------------------------------
% 5.40/1.40 % (710691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.40 % (710691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.40 % (710691)CaDiCaL version: 2.1.3
% 5.40/1.40 % (710691)Termination reason: Instruction limit
% 5.40/1.40 % (710691)Termination phase: Saturation
% 5.40/1.40 % (710691)Time elapsed: 0.098 s
% 5.40/1.40 % (710691)Peak memory usage: 12 MB
% 5.40/1.40 % (710691)Instructions burned: 103 (million)
% 5.40/1.40 % (710702)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=922861751:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.40/1.40 % (710703)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1774519149:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.40/1.40 % TRYING [1]
% 5.40/1.40 % TRYING [2]
% 5.40/1.40 % TRYING [3]
% 5.40/1.40 % (710693)Instruction limit reached!
% 5.40/1.40 % (710693)------------------------------
% 5.40/1.40 % (710693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.40 % (710693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.40 % (710693)CaDiCaL version: 2.1.3
% 5.40/1.40 % (710693)Termination reason: Instruction limit
% 5.40/1.40 % (710693)Termination phase: Saturation
% 5.40/1.40 % (710693)Time elapsed: 0.149 s
% 5.40/1.40 % (710693)Peak memory usage: 12 MB
% 5.40/1.40 % (710693)Instructions burned: 131 (million)
% 5.40/1.40 % (710694)Instruction limit reached!
% 5.40/1.40 % (710694)------------------------------
% 5.40/1.40 % (710694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.40 % (710694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.40 % (710694)CaDiCaL version: 2.1.3
% 5.40/1.40 % (710694)Termination reason: Instruction limit
% 5.40/1.40 % (710694)Termination phase: Saturation
% 5.40/1.40 % (710694)Time elapsed: 0.155 s
% 5.40/1.40 % (710694)Peak memory usage: 12 MB
% 5.40/1.40 % (710694)Instructions burned: 159 (million)
% 5.40/1.40 % (710706)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=4041228940:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.40/1.40 % (710707)ott-21_1_sil=16000:fs=off:random_seed=396581729:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.40/1.40 % TRYING [4]
% 5.40/1.40 % (710703)Instruction limit reached!
% 5.40/1.40 % (710703)------------------------------
% 5.40/1.40 % (710703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.40 % (710703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.40 % (710703)CaDiCaL version: 2.1.3
% 5.40/1.40 % (710703)Termination reason: Instruction limit
% 5.40/1.40 % (710703)Termination phase: Saturation
% 5.40/1.40 % (710703)Time elapsed: 0.142 s
% 5.40/1.40 % (710703)Peak memory usage: 13 MB
% 5.40/1.40 % (710703)Instructions burned: 132 (million)
% 5.40/1.40 % (710710)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2666571200:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 5.40/1.40 % (710707)Instruction limit reached!
% 5.40/1.40 % (710707)------------------------------
% 5.40/1.40 % (710707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.40 % (710707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.40 % (710707)CaDiCaL version: 2.1.3
% 5.40/1.40 % (710707)Termination reason: Instruction limit
% 5.40/1.40 % (710707)Termination phase: Saturation
% 5.40/1.40 % (710707)Time elapsed: 0.162 s
% 5.40/1.40 % (710707)Peak memory usage: 12 MB
% 5.40/1.40 % (710707)Instructions burned: 180 (million)
% 5.40/1.40 % (710712)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=324499677:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 5.40/1.40 % TRYING [1]
% 5.40/1.40 % TRYING [2]
% 5.40/1.40 % TRYING [3]
% 5.40/1.40 % TRYING [4]
% 5.40/1.40 % TRYING [5]
% 5.40/1.40 % (710702)Instruction limit reached!
% 5.40/1.40 % (710702)------------------------------
% 5.40/1.40 % (710702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.40 % (710702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.40 % (710702)CaDiCaL version: 2.1.3
% 5.40/1.40 % (710702)Termination reason: Instruction limit
% 5.40/1.40 % (710702)Termination phase: Finite model building SAT solving
% 5.40/1.40 % (710702)Time elapsed: 0.614 s
% 5.40/1.40 % (710702)Peak memory usage: 13 MB
% 5.40/1.40 % (710702)Instructions burned: 714 (million)
% 5.40/1.40 % (710689) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-710683-710689"...
% 5.40/1.40 % (710689)...printing done.
% 5.40/1.40 % (710689)Refutation found. Thanks to Tanya!
% 5.40/1.40 % SZS status Unsatisfiable for theBenchmark
% 5.40/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 5.40/1.40 % (710689)------------------------------
% 5.40/1.40 % (710689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.40 % (710689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.40 % (710689)CaDiCaL version: 2.1.3
% 5.40/1.40 % (710689)Termination reason: Refutation
% 5.40/1.40 % (710689)Time elapsed: 0.789 s
% 5.40/1.40 % (710689)Peak memory usage: 19 MB
% 5.40/1.40 % (710689)Instructions burned: 793 (million)
% 5.40/1.40 % (710683)Success in time 0.839 s
% 5.40/1.40 % Vampire exiting
%------------------------------------------------------------------------------