%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN068+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 01:49:13 PM UTC 2026
% Result : Theorem 2.23s 0.87s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 10 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 11 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( big_f(X0)
=> ( ? [X1] :
( big_g(X1)
& big_h(X0,X1) )
& ? [X2] :
( big_g(X2)
& ~ big_h(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_1) ).
fof(f2,axiom,
? [X0] :
( big_j(X0)
& ! [X1] :
( big_g(X1)
=> big_h(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_2) ).
fof(f3,conjecture,
? [X0] :
( big_j(X0)
& ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44) ).
fof(f4,negated_conjecture,
~ ? [X0] :
( big_j(X0)
& ~ big_f(X0) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] :
( ( ? [X1] :
( big_g(X1)
& big_h(X0,X1) )
& ? [X2] :
( big_g(X2)
& ~ big_h(X0,X2) ) )
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f6,plain,
? [X0] :
( big_j(X0)
& ! [X1] :
( big_h(X0,X1)
| ~ big_g(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
! [X0] :
( ~ big_j(X0)
| big_f(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f8,plain,
! [X0] :
( ( big_g(sK0(X0))
& big_h(X0,sK0(X0))
& big_g(sK1(X0))
& ~ big_h(X0,sK1(X0)) )
| ~ big_f(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0))],[f5]) ).
fof(f9,plain,
( big_j(sK2)
& ! [X1] :
( big_h(sK2,X1)
| ~ big_g(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f6]) ).
fof(f10,plain,
! [X0] :
( ~ big_h(X0,sK1(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f11,plain,
! [X0] :
( big_g(sK1(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f14,plain,
! [X1] :
( big_h(sK2,X1)
| ~ big_g(X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
big_j(sK2),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0] :
( ~ big_j(X0)
| big_f(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f17,plain,
big_f(sK2),
inference(resolution,[],[f15,f16]) ).
fof(f18,plain,
( ~ big_f(sK2)
| ~ big_g(sK1(sK2)) ),
inference(resolution,[],[f10,f14]) ).
fof(f19,plain,
~ big_g(sK1(sK2)),
inference(forward_subsumption_resolution,[],[f18,f17]) ).
fof(f20,plain,
~ big_f(sK2),
inference(resolution,[],[f19,f11]) ).
fof(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN068+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:27:46 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 2.23/0.87 % (1853998)Detected formulas, will run a generic FOF schedule.
% 2.23/0.87 % (1854008)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3668479379:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.23/0.87 % (1854008)First to succeed.
% 2.23/0.87 % (1854008)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1853998"
% 2.23/0.87 % (1854007)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2740644402:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.23/0.87 % (1854004)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=3849268030:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.23/0.87 % (1854003)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=1547953645:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.23/0.87 % (1854006)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1425691656:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.23/0.87 % (1854009)dis-21_1_sil=8000:lcm=predicate:random_seed=522035264: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)
% 2.23/0.87 % (1854005)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=2696349017:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.23/0.87 % (1854007)Also succeeded, but the first one will report.
% 2.23/0.87 % (1854006)Refutation not found, incomplete strategy
% 2.23/0.87 % (1854006)------------------------------
% 2.23/0.87 % (1854006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.23/0.87 % (1854006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.87 % (1854006)CaDiCaL version: 2.1.3
% 2.23/0.87 % (1854006)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.87 % (1854006)Time elapsed: 0.001 s
% 2.23/0.87 % (1854006)Peak memory usage: 88 MB
% 2.23/0.87 % (1854009)Also succeeded, but the first one will report.
% 2.23/0.87 % (1854008)Refutation found. Thanks to Tanya!
% 2.23/0.87 % SZS status Theorem for theBenchmark
% 2.23/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.87 % (1854008)------------------------------
% 2.23/0.87 % (1854008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.23/0.87 % (1854008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.87 % (1854008)CaDiCaL version: 2.1.3
% 2.23/0.87 % (1854008)Termination reason: Refutation
% 2.23/0.87 % (1854008)Time elapsed: 0.001 s
% 2.23/0.87 % (1854008)Peak memory usage: 89 MB
% 2.23/0.87 % (1854008)Instructions burned: 1 (million)
% 2.23/0.87 % (1854008)------------------------------
% 2.23/0.87 % (1854008)------------------------------
% 2.23/0.87 % (1853998)Success in time 0.259 s
% 2.23/0.87 % Vampire exiting
%------------------------------------------------------------------------------