%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV388+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 : n026.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 01:09:05 PM UTC 2026
% Result : Theorem 2.69s 1.16s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 28 ( 15 ~; 4 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 15 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l24_l34) ).
fof(f43,conjecture,
! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l24_co) ).
fof(f44,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f51,plain,
? [X0,X1,X2] :
( check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
& ok(findmin_cpq_eff(triple(X0,X1,X2)))
& ~ check_cpq(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f52,plain,
? [X0,X1,X2] :
( check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
& ok(findmin_cpq_eff(triple(X0,X1,X2)))
& ~ check_cpq(triple(X0,X1,X2)) ),
inference(flattening,[],[f51]) ).
fof(f62,plain,
( check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& ~ check_cpq(triple(sK0,sK1,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f52]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f67,plain,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f62]) ).
fof(f69,plain,
check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f62]) ).
fof(f91,plain,
check_cpq(triple(sK0,sK1,sK2)),
inference(resolution,[],[f66,f69]) ).
fof(f93,plain,
$false,
inference(forward_subsumption_resolution,[],[f91,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV388+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n026.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 10:50:12 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.69/1.16 % (3775277)Detected formulas, will run a generic FOF schedule.
% 2.69/1.16 % (3775286)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=818739213:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.69/1.16 % (3775286)First to succeed.
% 2.69/1.16 % (3775286)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3775277"
% 2.69/1.16 % (3775285)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1841557635:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.69/1.16 % (3775282)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=2752957389:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.69/1.16 % (3775285)Also succeeded, but the first one will report.
% 2.69/1.16 % (3775284)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=1195777338:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.69/1.16 % (3775283)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=3442511988:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.69/1.16 % (3775287)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2895834384:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.69/1.16 % (3775288)dis-21_1_sil=8000:lcm=predicate:random_seed=433751091: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)
% 2.69/1.16 % (3775287)Also succeeded, but the first one will report.
% 2.69/1.16 % (3775288)Also succeeded, but the first one will report.
% 2.69/1.16 % (3775286)Refutation found. Thanks to Tanya!
% 2.69/1.16 % SZS status Theorem for theBenchmark
% 2.69/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.16 % (3775286)------------------------------
% 2.69/1.16 % (3775286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.16 % (3775286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.16 % (3775286)CaDiCaL version: 2.1.3
% 2.69/1.16 % (3775286)Termination reason: Refutation
% 2.69/1.16 % (3775286)Time elapsed: 0.001 s
% 2.69/1.16 % (3775286)Peak memory usage: 88 MB
% 2.69/1.16 % (3775286)Instructions burned: 2 (million)
% 2.69/1.16 % (3775286)------------------------------
% 2.69/1.16 % (3775286)------------------------------
% 2.69/1.16 % (3775277)Success in time 0.288 s
% 2.69/1.16 % Vampire exiting
%------------------------------------------------------------------------------