%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM387+1 : TPTP v9.3.1. Released v3.2.0.
% 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 12:15:02 PM UTC 2026
% Result : Theorem 3.44s 1.44s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 10 unt; 0 def)
% Number of atoms : 16 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 9 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 11 ( 10 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f26,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f27,conjecture,
! [X0] : X0 != succ(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_ordinal1) ).
fof(f28,negated_conjecture,
~ ! [X0] : X0 != succ(X0),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f36,plain,
? [X0] : succ(X0) = X0,
inference(ennf_transformation,[],[f28]) ).
fof(f43,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f45,plain,
sK0 = succ(sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f36]) ).
fof(f50,plain,
sK0 = succ(sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f54,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f62,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f69,plain,
in(sK0,sK0),
inference(superposition,[],[f54,f50]) ).
fof(f75,plain,
~ in(sK0,sK0),
inference(resolution,[],[f62,f69]) ).
fof(f77,plain,
$false,
inference(forward_subsumption_resolution,[],[f75,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM387+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 19:45:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 3.44/1.44 % (124650)Detected formulas, will run a generic FOF schedule.
% 3.44/1.44 % (124657)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=1002004062:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.44/1.44 % (124655)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=3434069014:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.44/1.44 % (124658)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=521394363:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.44/1.44 % (124661)dis-21_1_sil=8000:lcm=predicate:random_seed=2553384977: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)
% 3.44/1.44 % (124656)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=1591829685:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.44/1.44 % (124659)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=823204297:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.44/1.44 % (124658)Refutation not found, incomplete strategy
% 3.44/1.44 % (124658)------------------------------
% 3.44/1.44 % (124658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.44 % (124658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.44 % (124658)CaDiCaL version: 2.1.3
% 3.44/1.44 % (124658)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.44 % (124658)Time elapsed: 0.001 s
% 3.44/1.44 % (124658)Peak memory usage: 88 MB
% 3.44/1.44 % (124659)First to succeed.
% 3.44/1.44 % (124661)Refutation not found, incomplete strategy
% 3.44/1.44 % (124661)------------------------------
% 3.44/1.44 % (124661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.44 % (124661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.44 % (124661)CaDiCaL version: 2.1.3
% 3.44/1.44 % (124661)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.44 % (124661)Time elapsed: 0.002 s
% 3.44/1.44 % (124659)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-124650"
% 3.44/1.44 % (124661)Peak memory usage: 88 MB
% 3.44/1.44 % (124661)Instructions burned: 1 (million)
% 3.44/1.44 % (124660)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2209959944:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.44/1.44 % (124660)Also succeeded, but the first one will report.
% 3.44/1.44 % (124661)------------------------------
% 3.44/1.44 % (124661)------------------------------
% 3.44/1.44 % (124658)------------------------------
% 3.44/1.44 % (124658)------------------------------
% 3.44/1.44 % (124659)Refutation found. Thanks to Tanya!
% 3.44/1.44 % SZS status Theorem for theBenchmark
% 3.44/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.44 % (124659)------------------------------
% 3.44/1.44 % (124659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.44 % (124659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.44 % (124659)CaDiCaL version: 2.1.3
% 3.44/1.44 % (124659)Termination reason: Refutation
% 3.44/1.44 % (124659)Time elapsed: 0.002 s
% 3.44/1.44 % (124659)Peak memory usage: 88 MB
% 3.44/1.44 % (124659)Instructions burned: 1 (million)
% 3.44/1.44 % (124659)------------------------------
% 3.44/1.44 % (124659)------------------------------
% 3.44/1.44 % (124650)Success in time 0.405 s
% 3.44/1.44 % Vampire exiting
%------------------------------------------------------------------------------