%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN064+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:49:11 PM UTC 2026
% Result : Theorem 0.22s 1.30s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0,X1] :
( big_p(X0,X1)
=> ! [X2,X3] : big_p(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel35) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
( big_p(X0,X1)
=> ! [X2,X3] : big_p(X2,X3) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0,X1] :
( ? [X2,X3] : ~ big_p(X2,X3)
& big_p(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0,X1] :
( ~ big_p(sK0,sK1)
& big_p(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0),skolemize(X3,sK1)],[f3]) ).
fof(f5,plain,
! [X0,X1] : big_p(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
~ big_p(sK0,sK1),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
$false,
inference(forward_subsumption_resolution,[],[f6,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN064+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n005.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 15:27:16 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 0.22/1.30 % (865860)Detected formulas, will run a generic FOF schedule.
% 0.22/1.30 % (865867)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=1689328211:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.22/1.30 % (865871)dis-21_1_sil=8000:lcm=predicate:random_seed=3480825896: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)
% 0.22/1.30 % (865865)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=352211974:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.22/1.30 % (865866)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=2135739449:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.22/1.30 % (865870)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3179046507:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.22/1.30 % (865868)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2494000095:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.22/1.30 % (865869)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2305169745:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.22/1.30 % (865870)Also succeeded, but the first one will report.
% 0.22/1.30 % (865868)Also succeeded, but the first one will report.
% 0.22/1.30 % (865869)First to succeed.
% 0.22/1.30 % (865871)Also succeeded, but the first one will report.
% 0.22/1.30 % (865869)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-865860"
% 0.22/1.30 % (865869)Refutation found. Thanks to Tanya!
% 0.22/1.30 % SZS status Theorem for theBenchmark
% 0.22/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/1.30 % (865869)------------------------------
% 0.22/1.30 % (865869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (865869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (865869)CaDiCaL version: 2.1.3
% 0.22/1.30 % (865869)Termination reason: Refutation
% 0.22/1.30 % (865869)Time elapsed: 0.001 s
% 0.22/1.30 % (865869)Peak memory usage: 87 MB
% 0.22/1.30 % (865869)------------------------------
% 0.22/1.30 % (865869)------------------------------
% 0.22/1.30 % (865860)Success in time 0.436 s
% 0.22/1.30 % Vampire exiting
%------------------------------------------------------------------------------