%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL224-1 : 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 : n010.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 2.49s 0.95s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 14 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 37 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 72 ( 72 !; 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,or(not(q),r))),or(not(or(p,q)),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,or(not(q),r))),or(not(or(p,q)),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(f19,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),or(X0,X2)))
| theorem(or(not(X1),X2)) ),
inference(resolution,[],[f5,f11]) ).
fof(f21,plain,
! [X0] :
( theorem(or(not(X0),or(not(or(p,q)),or(p,r))))
| ~ axiom(or(not(or(p,or(not(q),r))),X0)) ),
inference(resolution,[],[f12,f13]) ).
fof(f23,plain,
! [X0,X1] :
( ~ axiom(or(not(or(p,or(not(q),r))),X0))
| ~ axiom(or(not(X0),X1))
| theorem(or(not(X1),or(not(or(p,q)),or(p,r)))) ),
inference(resolution,[],[f21,f12]) ).
fof(f45,plain,
! [X0,X1] :
( theorem(or(X0,or(or(X0,X1),X1)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f18,f15]) ).
fof(f76,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,[],[f23,f4]) ).
fof(f80,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,[],[f45,f12]) ).
fof(f82,plain,
! [X0,X1] :
( theorem(or(or(X0,X1),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f45,f17]) ).
fof(f142,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,[],[f76,f5]) ).
fof(f161,plain,
! [X0,X1] :
( theorem(or(X1,or(X0,X1)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f82,f16]) ).
fof(f176,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,[],[f80,f3]) ).
fof(f179,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X2,X0)),or(or(not(X0),X1),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f80,f2]) ).
fof(f306,plain,
theorem(or(not(or(p,or(p,r))),or(p,r))),
inference(resolution,[],[f142,f19]) ).
fof(f383,plain,
! [X0,X1] :
( theorem(or(X0,or(X1,X1)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f161,f18]) ).
fof(f399,plain,
! [X2,X0,X1] :
( theorem(or(or(not(X0),X1),or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f179,f18]) ).
fof(f429,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,[],[f176,f10]) ).
fof(f483,plain,
! [X0] :
( ~ axiom(or(not(or(p,or(p,r))),X0))
| theorem(or(not(X0),or(p,r))) ),
inference(resolution,[],[f306,f12]) ).
fof(f937,plain,
! [X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X0))
| theorem(or(not(X1),X0)) ),
inference(resolution,[],[f383,f19]) ).
fof(f1194,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X2,X0)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f399,f17]) ).
fof(f1279,plain,
! [X0,X1] : ~ theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f429,f2]) ).
fof(f1613,plain,
theorem(or(not(or(or(p,r),p)),or(p,r))),
inference(resolution,[],[f483,f3]) ).
fof(f3519,plain,
theorem(or(not(p),or(p,r))),
inference(resolution,[],[f937,f1613]) ).
fof(f4066,plain,
! [X0,X1] : ~ theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f1194,f1279]) ).
fof(f17435,plain,
$false,
inference(backward_subsumption_resolution,[],[f3519,f4066]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL224-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:28:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 2.49/0.95 % (1097502)Will run a generic schedule for satisfiability detection.
% 2.49/0.95 % (1097508)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1757509712_2999 on theBenchmark for (2999ds/0Mi)
% 2.49/0.95 % TRYING [1]
% 2.49/0.95 % TRYING [2]
% 2.49/0.95 % (1097509)% WARNING: option uhcvi not known.
% 2.49/0.95 % TRYING [3]
% 2.49/0.95 % (1097509)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1820513634:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.49/0.95 % (1097510)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1913204939:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.49/0.95 % (1097511)dis+10_1_sil=32000:sp=arity:random_seed=3361793534:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.49/0.95 % (1097512)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1551316773:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.49/0.95 % TRYING [4]
% 2.49/0.95 % (1097513)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=413503593:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.49/0.95 % (1097514)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1749129682:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.49/0.95 % (1097512)Instruction limit reached!
% 2.49/0.95 % (1097512)------------------------------
% 2.49/0.95 % (1097512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.95 % (1097512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.95 % (1097512)CaDiCaL version: 2.1.3
% 2.49/0.95 % (1097512)Termination reason: Instruction limit
% 2.49/0.95 % (1097512)Termination phase: Saturation
% 2.49/0.95 % (1097512)Time elapsed: 0.084 s
% 2.49/0.95 % (1097512)Peak memory usage: 11 MB
% 2.49/0.95 % (1097512)Instructions burned: 117 (million)
% 2.49/0.95 % (1097511)Instruction limit reached!
% 2.49/0.95 % (1097511)------------------------------
% 2.49/0.95 % (1097511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.95 % (1097511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.95 % (1097511)CaDiCaL version: 2.1.3
% 2.49/0.95 % (1097511)Termination reason: Instruction limit
% 2.49/0.95 % (1097511)Termination phase: Saturation
% 2.49/0.95 % (1097511)Time elapsed: 0.094 s
% 2.49/0.95 % (1097511)Peak memory usage: 11 MB
% 2.49/0.95 % (1097511)Instructions burned: 104 (million)
% 2.49/0.95 % (1097529)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2514274188:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.49/0.95 % TRYING [1]
% 2.49/0.95 % TRYING [2]
% 2.49/0.95 % TRYING [3]
% 2.49/0.95 % (1097530)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2833647512:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.49/0.95 % TRYING [4]
% 2.49/0.95 % (1097514)Instruction limit reached!
% 2.49/0.95 % (1097514)------------------------------
% 2.49/0.95 % (1097514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.95 % (1097514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.95 % (1097514)CaDiCaL version: 2.1.3
% 2.49/0.95 % (1097514)Termination reason: Instruction limit
% 2.49/0.95 % (1097514)Termination phase: Saturation
% 2.49/0.95 % (1097514)Time elapsed: 0.146 s
% 2.49/0.95 % (1097514)Peak memory usage: 12 MB
% 2.49/0.95 % (1097514)Instructions burned: 159 (million)
% 2.49/0.95 % (1097513)Instruction limit reached!
% 2.49/0.95 % (1097513)------------------------------
% 2.49/0.95 % (1097513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.95 % (1097513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.95 % (1097513)CaDiCaL version: 2.1.3
% 2.49/0.95 % (1097513)Termination reason: Instruction limit
% 2.49/0.95 % (1097513)Termination phase: Saturation
% 2.49/0.95 % (1097513)Time elapsed: 0.183 s
% 2.49/0.95 % (1097513)Peak memory usage: 12 MB
% 2.49/0.95 % (1097513)Instructions burned: 131 (million)
% 2.49/0.95 % (1097534)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=4203032782:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 2.49/0.95 % (1097541)ott-21_1_sil=16000:fs=off:random_seed=3627457501:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 2.49/0.95 % (1097530)Instruction limit reached!
% 2.49/0.95 % (1097530)------------------------------
% 2.49/0.95 % (1097530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.95 % (1097530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.95 % (1097530)CaDiCaL version: 2.1.3
% 2.49/0.95 % (1097530)Termination reason: Instruction limit
% 2.49/0.95 % (1097530)Termination phase: Saturation
% 2.49/0.95 % (1097530)Time elapsed: 0.131 s
% 2.49/0.95 % (1097530)Peak memory usage: 12 MB
% 2.49/0.95 % (1097530)Instructions burned: 131 (million)
% 2.49/0.95 % (1097544)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=246865562:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 2.49/0.95 % (1097541)Instruction limit reached!
% 2.49/0.95 % (1097541)------------------------------
% 2.49/0.95 % (1097541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.95 % (1097541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.95 % (1097541)CaDiCaL version: 2.1.3
% 2.49/0.95 % (1097541)Termination reason: Instruction limit
% 2.49/0.95 % (1097541)Termination phase: Saturation
% 2.49/0.95 % (1097541)Time elapsed: 0.166 s
% 2.49/0.95 % (1097541)Peak memory usage: 12 MB
% 2.49/0.95 % (1097541)Instructions burned: 180 (million)
% 2.49/0.95 % (1097550)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3376373541:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 2.49/0.95 % TRYING [1]
% 2.49/0.95 % TRYING [2]
% 2.49/0.95 % TRYING [3]
% 2.49/0.95 % (1097509) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1097502-1097509"...
% 2.49/0.95 % (1097509)...printing done.
% 2.49/0.95 % (1097509)Refutation found. Thanks to Tanya!
% 2.49/0.95 % SZS status Unsatisfiable for theBenchmark
% 2.49/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/0.95 % (1097509)------------------------------
% 2.49/0.95 % (1097509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.95 % (1097509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.95 % (1097509)CaDiCaL version: 2.1.3
% 2.49/0.95 % (1097509)Termination reason: Refutation
% 2.49/0.95 % (1097509)Time elapsed: 0.482 s
% 2.49/0.95 % (1097509)Peak memory usage: 15 MB
% 2.49/0.95 % (1097509)Instructions burned: 486 (million)
% 2.49/0.95 % (1097502)Success in time 0.528 s
% 2.49/0.95 % Vampire exiting
%------------------------------------------------------------------------------