%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV644+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:58:29 PM UTC 2026
% Result : Theorem 4.04s 1.77s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 30 ( 10 ~; 8 |; 7 &)
% ( 2 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 5 ( 2 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2364,conjecture,
! [X0] :
( cProp___24t(X0)
=> ( p(X0)
<=> p(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2365,negated_conjecture,
~ ! [X0] :
( cProp___24t(X0)
=> ( p(X0)
<=> p(X0) ) ),
inference(negated_conjecture,[status(cth)],[f2364]) ).
fof(f2366,plain,
? [X0] :
( ( p(X0)
<~> p(X0) )
& cProp___24t(X0) ),
inference(ennf_transformation,[],[f2365]) ).
fof(f2371,plain,
? [X0] :
( ( ~ p(X0)
| ~ p(X0) )
& ( p(X0)
| p(X0) )
& cProp___24t(X0) ),
inference(nnf_transformation,[],[f2366]) ).
fof(f2372,plain,
? [X0] :
( ( ~ p(X0)
| ~ p(X0) )
& ( p(X0)
| p(X0) )
& cProp___24t(X0) ),
inference(flattening,[],[f2371]) ).
fof(f2373,plain,
( ( ~ p(sK0)
| ~ p(sK0) )
& ( p(sK0)
| p(sK0) )
& cProp___24t(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f2372]) ).
fof(f2376,plain,
( p(sK0)
| p(sK0) ),
inference(cnf_transformation,[],[f2373]) ).
fof(f2377,plain,
( ~ p(sK0)
| ~ p(sK0) ),
inference(cnf_transformation,[],[f2373]) ).
fof(f2388,plain,
p(sK0),
inference(duplicate_literal_removal,[],[f2376]) ).
fof(f2389,plain,
~ p(sK0),
inference(duplicate_literal_removal,[],[f2377]) ).
fof(f2390,plain,
$false,
inference(forward_subsumption_resolution,[],[f2389,f2388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV644+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 06:53:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 4.04/1.77 % (3440108)Detected formulas, will run a generic FOF schedule.
% 4.04/1.77 % (3440114)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=99371571:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 4.04/1.77 % (3440119)dis-21_1_sil=8000:lcm=predicate:random_seed=1242748626:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 4.04/1.77 % (3440118)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1894930063:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 4.04/1.77 % (3440113)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=4288930223:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 4.04/1.77 % (3440116)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3832628707:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 4.04/1.77 % (3440115)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=2303756773:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 4.04/1.77 % (3440117)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2491136309:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 4.04/1.77 % (3440117)First to succeed.
% 4.04/1.77 % (3440116)Also succeeded, but the first one will report.
% 4.04/1.77 % (3440117)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3440108"
% 4.04/1.77 % (3440118)Instruction limit reached!
% 4.04/1.77 % (3440118)------------------------------
% 4.04/1.77 % (3440118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.77 % (3440118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.77 % (3440118)CaDiCaL version: 2.1.3
% 4.04/1.77 % (3440118)Termination reason: Instruction limit
% 4.04/1.77 % (3440118)Termination phase: Naming
% 4.04/1.77 % (3440118)Time elapsed: 0.058 s
% 4.04/1.77 % (3440118)Peak memory usage: 90 MB
% 4.04/1.77 % (3440118)Instructions burned: 139 (million)
% 4.04/1.77 % (3440119)Instruction limit reached!
% 4.04/1.77 % (3440119)------------------------------
% 4.04/1.77 % (3440119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.77 % (3440119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.77 % (3440119)CaDiCaL version: 2.1.3
% 4.04/1.77 % (3440119)Termination reason: Instruction limit
% 4.04/1.77 % (3440119)Termination phase: Preprocessing 3
% 4.04/1.77 % (3440119)Time elapsed: 0.067 s
% 4.04/1.77 % (3440119)Peak memory usage: 92 MB
% 4.04/1.77 % (3440119)Instructions burned: 130 (million)
% 4.04/1.77 % (3440127)lrs+10_1_sil=8000:sp=occurrence:random_seed=866980159:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 4.04/1.77 % (3440127)Also succeeded, but the first one will report.
% 4.04/1.77 % (3440128)lrs+10_1_sil=32000:urr=on:br=off:random_seed=158866342:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 4.04/1.77 % (3440117)Refutation found. Thanks to Tanya!
% 4.04/1.77 % SZS status Theorem for theBenchmark
% 4.04/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 4.04/1.77 % (3440117)------------------------------
% 4.04/1.77 % (3440117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.77 % (3440117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.77 % (3440117)CaDiCaL version: 2.1.3
% 4.04/1.77 % (3440117)Termination reason: Refutation
% 4.04/1.77 % (3440117)Time elapsed: 0.014 s
% 4.04/1.77 % (3440117)Peak memory usage: 91 MB
% 4.04/1.77 % (3440117)Instructions burned: 32 (million)
% 4.04/1.77 % (3440117)------------------------------
% 4.04/1.77 % (3440117)------------------------------
% 4.04/1.77 % (3440108)Success in time 0.726 s
% 4.04/1.77 % Vampire exiting
%------------------------------------------------------------------------------