%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL223-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:58:04 AM UTC 2026
% Result : Unsatisfiable 1.69s 0.80s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 16 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 36 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 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 : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( theorem(X0)
| ~ axiom(or(not(X1),X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ axiom(or(not(X0),X2))
| ~ theorem(or(not(X2),X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(p,q)),or(not(or(p,or(not(q),r))),or(p,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] :
( ~ theorem(X0)
| ~ axiom(X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f11,plain,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| ~ theorem(X0)
| theorem(X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X2),X1)) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f13,plain,
theorem(or(not(or(p,q)),or(not(or(p,or(not(q),r))),or(p,r)))),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f15,plain,
! [X0] :
( theorem(or(X0,X0))
| ~ theorem(X0) ),
inference(resolution,[],[f11,f1]) ).
fof(f16,plain,
! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(resolution,[],[f11,f3]) ).
fof(f17,plain,
! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X1) ),
inference(resolution,[],[f11,f2]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f4,f11]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),or(X0,X2)))
| theorem(or(not(X1),X2)) ),
inference(resolution,[],[f5,f11]) ).
fof(f37,plain,
theorem(or(not(or(p,or(not(q),r))),or(not(or(p,q)),or(p,r)))),
inference(resolution,[],[f18,f13]) ).
fof(f39,plain,
! [X0,X1] :
( theorem(or(X0,or(or(X0,X1),X1)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f18,f15]) ).
fof(f50,plain,
! [X0] :
( ~ axiom(or(not(or(p,or(not(q),r))),X0))
| theorem(or(not(X0),or(not(or(p,q)),or(p,r)))) ),
inference(resolution,[],[f37,f12]) ).
fof(f65,plain,
! [X0,X1] :
( theorem(or(or(X0,X1),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f39,f17]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ axiom(or(not(X0),X2))
| ~ theorem(or(not(X0),X1))
| theorem(or(not(X2),or(or(not(X0),X1),X1))) ),
inference(resolution,[],[f39,f12]) ).
fof(f123,plain,
theorem(or(not(or(not(q),or(p,r))),or(not(or(p,q)),or(p,r)))),
inference(resolution,[],[f50,f4]) ).
fof(f131,plain,
! [X0,X1] :
( theorem(or(X1,or(X0,X1)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f65,f16]) ).
fof(f141,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X1,X0)),or(or(not(or(X0,X1)),X2),X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[],[f66,f3]) ).
fof(f144,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X2,X0)),or(or(not(X0),X1),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f66,f2]) ).
fof(f213,plain,
! [X0] :
( ~ axiom(or(not(or(not(q),or(p,r))),X0))
| theorem(or(not(X0),or(not(or(p,q)),or(p,r)))) ),
inference(resolution,[],[f123,f12]) ).
fof(f314,plain,
! [X0,X1] :
( theorem(or(X0,or(X1,X1)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f131,f18]) ).
fof(f330,plain,
! [X2,X0,X1] :
( theorem(or(or(not(X0),X1),or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f144,f18]) ).
fof(f349,plain,
! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X2),or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[],[f141,f18]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ~ axiom(or(not(or(X1,X0)),or(or(not(or(X0,X1)),X2),X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[],[f141,f10]) ).
fof(f656,plain,
! [X0] : theorem(or(not(or(not(or(X0,q)),or(X0,or(p,r)))),or(not(or(p,q)),or(p,r)))),
inference(resolution,[],[f213,f5]) ).
fof(f773,plain,
! [X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X0))
| theorem(or(not(X1),X0)) ),
inference(resolution,[],[f314,f22]) ).
fof(f1038,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X2,X0)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f330,f17]) ).
fof(f1111,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X1,X0)),X2)) ),
inference(resolution,[],[f349,f17]) ).
fof(f1119,plain,
! [X0,X1] : ~ theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f354,f2]) ).
fof(f1787,plain,
theorem(or(not(or(p,or(p,r))),or(p,r))),
inference(resolution,[],[f656,f22]) ).
fof(f3314,plain,
! [X0,X1] : ~ theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f1038,f1119]) ).
fof(f6977,plain,
theorem(or(not(or(or(p,r),p)),or(p,r))),
inference(resolution,[],[f1787,f1111]) ).
fof(f23518,plain,
theorem(or(not(p),or(p,r))),
inference(resolution,[],[f6977,f773]) ).
fof(f23538,plain,
$false,
inference(forward_subsumption_resolution,[],[f23518,f3314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL223-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n012.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 15:27:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 1.69/0.80 % (2515009)Will run a generic schedule for satisfiability detection.
% 1.69/0.80 % (2515015)% WARNING: option uhcvi not known.
% 1.69/0.80 % (2515017)dis+10_1_sil=32000:sp=arity:random_seed=3073735798:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.69/0.80 % (2515018)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=335254779:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.69/0.80 % (2515020)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2100618404:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.69/0.80 % (2515014)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=368118788_2999 on theBenchmark for (2999ds/0Mi)
% 1.69/0.80 % (2515016)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=782474800:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.69/0.80 % (2515015)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2392829149:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.69/0.80 % (2515019)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4122286863:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.69/0.80 % TRYING [1]
% 1.69/0.80 % TRYING [2]
% 1.69/0.80 % TRYING [3]
% 1.69/0.80 % TRYING [4]
% 1.69/0.80 % (2515018)Instruction limit reached!
% 1.69/0.80 % (2515018)------------------------------
% 1.69/0.80 % (2515018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.80 % (2515018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.80 % (2515018)CaDiCaL version: 2.1.3
% 1.69/0.80 % (2515018)Termination reason: Instruction limit
% 1.69/0.80 % (2515018)Termination phase: Saturation
% 1.69/0.80 % (2515018)Time elapsed: 0.044 s
% 1.69/0.80 % (2515018)Peak memory usage: 11 MB
% 1.69/0.80 % (2515018)Instructions burned: 117 (million)
% 1.69/0.80 % (2515017)Instruction limit reached!
% 1.69/0.80 % (2515017)------------------------------
% 1.69/0.80 % (2515017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.80 % (2515017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.80 % (2515017)CaDiCaL version: 2.1.3
% 1.69/0.80 % (2515017)Termination reason: Instruction limit
% 1.69/0.80 % (2515017)Termination phase: Saturation
% 1.69/0.80 % (2515017)Time elapsed: 0.049 s
% 1.69/0.80 % (2515017)Peak memory usage: 11 MB
% 1.69/0.80 % (2515017)Instructions burned: 104 (million)
% 1.69/0.80 % (2515019)Instruction limit reached!
% 1.69/0.80 % (2515019)------------------------------
% 1.69/0.80 % (2515019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.80 % (2515019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.80 % (2515019)CaDiCaL version: 2.1.3
% 1.69/0.80 % (2515019)Termination reason: Instruction limit
% 1.69/0.80 % (2515019)Termination phase: Saturation
% 1.69/0.80 % (2515019)Time elapsed: 0.074 s
% 1.69/0.80 % (2515019)Peak memory usage: 12 MB
% 1.69/0.80 % (2515019)Instructions burned: 132 (million)
% 1.69/0.80 % (2515029)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3619026534:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.69/0.80 % (2515020)Instruction limit reached!
% 1.69/0.80 % (2515020)------------------------------
% 1.69/0.80 % (2515020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.80 % (2515020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.80 % (2515020)CaDiCaL version: 2.1.3
% 1.69/0.80 % (2515020)Termination reason: Instruction limit
% 1.69/0.80 % (2515020)Termination phase: Saturation
% 1.69/0.80 % (2515020)Time elapsed: 0.078 s
% 1.69/0.80 % (2515020)Peak memory usage: 12 MB
% 1.69/0.80 % (2515020)Instructions burned: 161 (million)
% 1.69/0.80 % (2515028)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=889656689:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.69/0.80 % TRYING [1]
% 1.69/0.80 % TRYING [2]
% 1.69/0.80 % TRYING [3]
% 1.69/0.80 % (2515030)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=1426626537:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.69/0.80 % (2515032)ott-21_1_sil=16000:fs=off:random_seed=1583068179:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.69/0.80 % TRYING [4]
% 1.69/0.80 % (2515029)Instruction limit reached!
% 1.69/0.80 % (2515029)------------------------------
% 1.69/0.80 % (2515029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.80 % (2515029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.80 % (2515029)CaDiCaL version: 2.1.3
% 1.69/0.80 % (2515029)Termination reason: Instruction limit
% 1.69/0.80 % (2515029)Termination phase: Saturation
% 1.69/0.80 % (2515029)Time elapsed: 0.070 s
% 1.69/0.80 % (2515029)Peak memory usage: 12 MB
% 1.69/0.80 % (2515029)Instructions burned: 132 (million)
% 1.69/0.80 % (2515036)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3199722305:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.69/0.80 % (2515032)Instruction limit reached!
% 1.69/0.80 % (2515032)------------------------------
% 1.69/0.80 % (2515032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.80 % (2515032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.80 % (2515032)CaDiCaL version: 2.1.3
% 1.69/0.80 % (2515032)Termination reason: Instruction limit
% 1.69/0.80 % (2515032)Termination phase: Saturation
% 1.69/0.80 % (2515032)Time elapsed: 0.083 s
% 1.69/0.80 % (2515032)Peak memory usage: 11 MB
% 1.69/0.80 % (2515032)Instructions burned: 181 (million)
% 1.69/0.80 % (2515038)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3624371296:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.69/0.80 % TRYING [1]
% 1.69/0.80 % TRYING [2]
% 1.69/0.80 % TRYING [3]
% 1.69/0.80 % TRYING [4]
% 1.69/0.80 % (2515015) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2515009-2515015"...
% 1.69/0.80 % (2515015)...printing done.
% 1.69/0.80 % (2515015)Refutation found. Thanks to Tanya!
% 1.69/0.80 % SZS status Unsatisfiable for theBenchmark
% 1.69/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.80 % (2515015)------------------------------
% 1.69/0.80 % (2515015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.80 % (2515015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.80 % (2515015)CaDiCaL version: 2.1.3
% 1.69/0.80 % (2515015)Termination reason: Refutation
% 1.69/0.80 % (2515015)Time elapsed: 0.331 s
% 1.69/0.80 % (2515015)Peak memory usage: 15 MB
% 1.69/0.80 % (2515015)Instructions burned: 628 (million)
% 1.69/0.80 % (2515009)Success in time 0.379 s
% 1.69/0.80 % Vampire exiting
%------------------------------------------------------------------------------