%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:09:02 PM UTC 2026
% Result : Theorem 0.18s 1.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 12 unt; 2 def)
% Number of atoms : 56 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 16 |; 3 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 26 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] : ~ contains_pq(create_pq,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f20,axiom,
! [X0] : ~ contains_slb(create_slb,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f54,axiom,
! [X0,X1] : i(triple(X0,create_slb,X1)) = create_pq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f63,conjecture,
! [X0,X1,X2] :
( contains_cpq(triple(X0,create_slb,X1),X2)
<=> contains_pq(i(triple(X0,create_slb,X1)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l5_co) ).
fof(f64,negated_conjecture,
~ ! [X0,X1,X2] :
( contains_cpq(triple(X0,create_slb,X1),X2)
<=> contains_pq(i(triple(X0,create_slb,X1)),X2) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f115,plain,
? [X0,X1,X2] :
( contains_cpq(triple(X0,create_slb,X1),X2)
<~> contains_pq(i(triple(X0,create_slb,X1)),X2) ),
inference(ennf_transformation,[],[f64]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) )
& ( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f125,plain,
? [X0,X1,X2] :
( ( ~ contains_pq(i(triple(X0,create_slb,X1)),X2)
| ~ contains_cpq(triple(X0,create_slb,X1),X2) )
& ( contains_pq(i(triple(X0,create_slb,X1)),X2)
| contains_cpq(triple(X0,create_slb,X1),X2) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f126,plain,
( ( ~ contains_pq(i(triple(sK1,create_slb,sK2)),sK3)
| ~ contains_cpq(triple(sK1,create_slb,sK2),sK3) )
& ( contains_pq(i(triple(sK1,create_slb,sK2)),sK3)
| contains_cpq(triple(sK1,create_slb,sK2),sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f125]) ).
fof(f134,plain,
! [X0] : ~ contains_pq(create_pq,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f149,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f20]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( ~ contains_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f190,plain,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f192,plain,
( contains_pq(i(triple(sK1,create_slb,sK2)),sK3)
| contains_cpq(triple(sK1,create_slb,sK2),sK3) ),
inference(cnf_transformation,[],[f126]) ).
fof(f199,definition,
( spl4_1
<=> contains_cpq(triple(sK1,create_slb,sK2),sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f201,plain,
( contains_cpq(triple(sK1,create_slb,sK2),sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f203,definition,
( spl4_2
<=> contains_pq(i(triple(sK1,create_slb,sK2)),sK3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f205,plain,
( contains_pq(i(triple(sK1,create_slb,sK2)),sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f192,f203,f199]) ).
fof(f208,plain,
( contains_pq(create_pq,sK3)
| ~ spl4_2 ),
inference(superposition,[],[f205,f190]) ).
fof(f209,plain,
( $false
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f208,f134]) ).
fof(f210,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f213,plain,
( contains_slb(create_slb,sK3)
| ~ spl4_1 ),
inference(resolution,[],[f174,f201]) ).
fof(f214,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f213,f149]) ).
fof(f215,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f214]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f206]) ).
cnf(s3,plain,
~ spl4_2,
inference(sat_conversion,[],[f210]) ).
cnf(s4,plain,
~ spl4_1,
inference(sat_conversion,[],[f215]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f216,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n015.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 10:48:02 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/1.31 % (2538066)Detected formulas, will run a generic FOF schedule.
% 0.18/1.31 % (2538075)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1281471438:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.18/1.31 % (2538075)Instruction limit reached!
% 0.18/1.31 % (2538075)------------------------------
% 0.18/1.31 % (2538075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (2538075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (2538075)CaDiCaL version: 2.1.3
% 0.18/1.31 % (2538075)Termination reason: Instruction limit
% 0.18/1.31 % (2538075)Termination phase: Saturation
% 0.18/1.31 % (2538075)Time elapsed: 0.030 s
% 0.18/1.31 % (2538075)Peak memory usage: 88 MB
% 0.18/1.31 % (2538075)Instructions burned: 120 (million)
% 0.18/1.31 % (2538071)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=4023590276:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.18/1.31 % (2538073)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=611285339:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.18/1.31 % (2538072)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3271451278:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.18/1.31 % (2538074)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2530126124:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.18/1.31 % (2538077)dis-21_1_sil=8000:lcm=predicate:random_seed=2879483203:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.18/1.31 % (2538074)Refutation not found, incomplete strategy
% 0.18/1.31 % (2538074)------------------------------
% 0.18/1.31 % (2538074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (2538074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (2538074)CaDiCaL version: 2.1.3
% 0.18/1.31 % (2538074)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.31 % (2538074)Time elapsed: 0.001 s
% 0.18/1.31 % (2538074)Peak memory usage: 88 MB
% 0.18/1.31 % (2538077)Refutation not found, incomplete strategy
% 0.18/1.31 % (2538077)------------------------------
% 0.18/1.31 % (2538077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (2538077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (2538077)CaDiCaL version: 2.1.3
% 0.18/1.31 % (2538077)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.31 % (2538077)Time elapsed: 0.004 s
% 0.18/1.31 % (2538077)Peak memory usage: 88 MB
% 0.18/1.31 % (2538077)Instructions burned: 4 (million)
% 0.18/1.31 % (2538076)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=473122512:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.18/1.31 % (2538076)First to succeed.
% 0.18/1.31 % (2538076)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2538066"
% 0.18/1.31 % (2538084)lrs+10_1_sil=8000:sp=occurrence:random_seed=3629854768:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.18/1.31 % (2538084)Also succeeded, but the first one will report.
% 0.18/1.31 % (2538077)------------------------------
% 0.18/1.31 % (2538077)------------------------------
% 0.18/1.31 % (2538074)------------------------------
% 0.18/1.31 % (2538074)------------------------------
% 0.18/1.31 % (2538076)Refutation found. Thanks to Tanya!
% 0.18/1.31 % SZS status Theorem for theBenchmark
% 0.18/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.31 % (2538076)------------------------------
% 0.18/1.31 % (2538076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (2538076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (2538076)CaDiCaL version: 2.1.3
% 0.18/1.31 % (2538076)Termination reason: Refutation
% 0.18/1.31 % (2538076)Time elapsed: 0.005 s
% 0.18/1.31 % (2538076)Peak memory usage: 90 MB
% 0.18/1.31 % (2538076)Instructions burned: 5 (million)
% 0.18/1.31 % (2538076)------------------------------
% 0.18/1.31 % (2538076)------------------------------
% 0.18/1.31 % (2538066)Success in time 0.462 s
% 0.18/1.31 % Vampire exiting
%------------------------------------------------------------------------------