%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV367+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 3.77s 1.31s
% Output : Refutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 15 ( 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] : ~ contains_pq(create_pq,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f54,axiom,
! [X0,X1] : i(triple(X0,create_slb,X1)) = create_pq,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
fof(f63,conjecture,
! [X0,X1,X2] :
( contains_pq(i(triple(X0,create_slb,X1)),X2)
=> i(remove_cpq(triple(X0,create_slb,X1),X2)) = remove_pq(i(triple(X0,create_slb,X1)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_co) ).
fof(f64,negated_conjecture,
~ ! [X0,X1,X2] :
( contains_pq(i(triple(X0,create_slb,X1)),X2)
=> i(remove_cpq(triple(X0,create_slb,X1),X2)) = remove_pq(i(triple(X0,create_slb,X1)),X2) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f115,plain,
? [X0,X1,X2] :
( i(remove_cpq(triple(X0,create_slb,X1),X2)) != remove_pq(i(triple(X0,create_slb,X1)),X2)
& contains_pq(i(triple(X0,create_slb,X1)),X2) ),
inference(ennf_transformation,[],[f64]) ).
fof(f125,plain,
( i(remove_cpq(triple(sK1,create_slb,sK2),sK3)) != remove_pq(i(triple(sK1,create_slb,sK2)),sK3)
& contains_pq(i(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)],[f115]) ).
fof(f133,plain,
! [X0] : ~ contains_pq(create_pq,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f189,plain,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f191,plain,
contains_pq(i(triple(sK1,create_slb,sK2)),sK3),
inference(cnf_transformation,[],[f125]) ).
fof(f198,plain,
contains_pq(create_pq,sK3),
inference(superposition,[],[f191,f189]) ).
fof(f199,plain,
$false,
inference(forward_subsumption_resolution,[],[f198,f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV367+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:47:22 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.77/1.31 % (272848)Detected formulas, will run a generic FOF schedule.
% 3.77/1.31 % (272857)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=343896892:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.77/1.31 % (272857)Instruction limit reached!
% 3.77/1.31 % (272857)------------------------------
% 3.77/1.31 % (272857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.31 % (272857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.31 % (272857)CaDiCaL version: 2.1.3
% 3.77/1.31 % (272857)Termination reason: Instruction limit
% 3.77/1.31 % (272857)Termination phase: Saturation
% 3.77/1.31 % (272857)Time elapsed: 0.031 s
% 3.77/1.31 % (272857)Peak memory usage: 88 MB
% 3.77/1.31 % (272857)Instructions burned: 121 (million)
% 3.77/1.31 % (272855)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=3424416816:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.77/1.31 % (272856)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2514690770:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.77/1.31 % (272858)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2377380524:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.77/1.31 % (272859)dis-21_1_sil=8000:lcm=predicate:random_seed=1039434297: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)
% 3.77/1.31 % (272853)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=3823422630:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.77/1.31 % (272854)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=77948473:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.77/1.31 % (272856)Refutation not found, incomplete strategy
% 3.77/1.31 % (272856)------------------------------
% 3.77/1.31 % (272856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.31 % (272856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.31 % (272856)CaDiCaL version: 2.1.3
% 3.77/1.31 % (272856)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.31 % (272856)Time elapsed: 0.002 s
% 3.77/1.31 % (272856)Peak memory usage: 88 MB
% 3.77/1.31 % (272858)First to succeed.
% 3.77/1.31 % (272859)Refutation not found, incomplete strategy
% 3.77/1.31 % (272859)------------------------------
% 3.77/1.31 % (272859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.31 % (272859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.31 % (272859)CaDiCaL version: 2.1.3
% 3.77/1.31 % (272859)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.31 % (272859)Time elapsed: 0.004 s
% 3.77/1.31 % (272859)Peak memory usage: 88 MB
% 3.77/1.31 % (272859)Instructions burned: 4 (million)
% 3.77/1.31 % (272858)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-272848"
% 3.77/1.31 % (272861)lrs+10_1_sil=8000:sp=occurrence:random_seed=1352018058:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.77/1.31 % (272861)Also succeeded, but the first one will report.
% 3.77/1.31 % (272859)------------------------------
% 3.77/1.31 % (272859)------------------------------
% 3.77/1.31 % (272856)------------------------------
% 3.77/1.31 % (272856)------------------------------
% 3.77/1.31 % (272858)Refutation found. Thanks to Tanya!
% 3.77/1.31 % SZS status Theorem for theBenchmark
% 3.77/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.77/1.31 % (272858)------------------------------
% 3.77/1.31 % (272858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.31 % (272858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.31 % (272858)CaDiCaL version: 2.1.3
% 3.77/1.31 % (272858)Termination reason: Refutation
% 3.77/1.31 % (272858)Time elapsed: 0.004 s
% 3.77/1.31 % (272858)Peak memory usage: 88 MB
% 3.77/1.31 % (272858)Instructions burned: 4 (million)
% 3.77/1.31 % (272858)------------------------------
% 3.77/1.31 % (272858)------------------------------
% 3.77/1.31 % (272848)Success in time 0.437 s
% 3.77/1.31 % Vampire exiting
%------------------------------------------------------------------------------