%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL173-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 11:51:25 AM UTC 2026
% Result : Unsatisfiable 3.27s 1.39s
% Output : Refutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 7 unt; 0 def)
% Number of atoms : 9 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(q,r),implies(implies(p,q),implies(p,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
~ theorem(or(not(or(not(q),r)),or(not(or(not(p),q)),or(not(p),r)))),
inference(definition_unfolding,[],[f9,f6,f6,f6,f6,f6]) ).
fof(f12,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(f26,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f12,f7]) ).
fof(f49,plain,
$false,
inference(resolution,[],[f26,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL173-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n008.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:25:40 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 3.27/1.39 % (1376757)Input is clausal, will run a generic CNF schedule.
% 3.27/1.39 % (1376777)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=870910790:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.27/1.39 % (1376780)lrs+10_1_sil=8000:sp=occurrence:random_seed=1386601390:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.27/1.39 % (1376778)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=69552165:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.27/1.39 % (1376779)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3380726747:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.27/1.39 % (1376780)First to succeed.
% 3.27/1.39 % (1376780)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1376757"
% 3.27/1.39 % (1376783)dis-21_1_sil=8000:lcm=predicate:random_seed=1607003358: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)
% 3.27/1.39 % (1376782)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3046510183:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.27/1.39 % (1376781)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4273882455:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.27/1.39 % (1376782)Also succeeded, but the first one will report.
% 3.27/1.39 % (1376783)Instruction limit reached!
% 3.27/1.39 % (1376783)------------------------------
% 3.27/1.39 % (1376783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.39 % (1376783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.39 % (1376783)CaDiCaL version: 2.1.3
% 3.27/1.39 % (1376783)Termination reason: Instruction limit
% 3.27/1.39 % (1376783)Termination phase: Saturation
% 3.27/1.39 % (1376783)Time elapsed: 0.058 s
% 3.27/1.39 % (1376783)Peak memory usage: 87 MB
% 3.27/1.39 % (1376783)Instructions burned: 118 (million)
% 3.27/1.39 % (1376781)Instruction limit reached!
% 3.27/1.39 % (1376781)------------------------------
% 3.27/1.39 % (1376781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.39 % (1376781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.39 % (1376781)CaDiCaL version: 2.1.3
% 3.27/1.39 % (1376781)Termination reason: Instruction limit
% 3.27/1.39 % (1376781)Termination phase: Saturation
% 3.27/1.39 % (1376781)Time elapsed: 0.062 s
% 3.27/1.39 % (1376781)Peak memory usage: 87 MB
% 3.27/1.39 % (1376781)Instructions burned: 115 (million)
% 3.27/1.39 % (1376807)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1026009578: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)
% 3.27/1.39 % (1376801)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=401207743:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.27/1.39 % (1376807)Also succeeded, but the first one will report.
% 3.27/1.39 % (1376801)Refutation not found, incomplete strategy
% 3.27/1.39 % (1376801)------------------------------
% 3.27/1.39 % (1376801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.39 % (1376801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.39 % (1376801)CaDiCaL version: 2.1.3
% 3.27/1.39 % (1376801)Termination reason: Refutation not found, incomplete strategy
% 3.27/1.39 % (1376801)Time elapsed: 0.001 s
% 3.27/1.39 % (1376801)Peak memory usage: 87 MB
% 3.27/1.39 % (1376780)Refutation found. Thanks to Tanya!
% 3.27/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.27/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.27/1.39 % (1376780)------------------------------
% 3.27/1.39 % (1376780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.39 % (1376780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.39 % (1376780)CaDiCaL version: 2.1.3
% 3.27/1.39 % (1376780)Termination reason: Refutation
% 3.27/1.39 % (1376780)Time elapsed: 0.002 s
% 3.27/1.39 % (1376780)Peak memory usage: 88 MB
% 3.27/1.39 % (1376780)Instructions burned: 1 (million)
% 3.27/1.39 % (1376780)------------------------------
% 3.27/1.39 % (1376780)------------------------------
% 3.27/1.39 % (1376757)Success in time 0.383 s
% 3.27/1.39 % Vampire exiting
%------------------------------------------------------------------------------