%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM016+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:39:23 AM UTC 2026
% Result : Theorem 3.54s 1.25s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 83 ( 4 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 86 ( 22 ~; 29 |; 35 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 12 ( 4 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(f19,axiom,
( ( aReductOfIn0(xb,xa,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xa,xR)
& sdtmndtplgtdt0(X0,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( aReductOfIn0(xc,xa,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xa,xR)
& sdtmndtplgtdt0(X0,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731_02) ).
fof(f20,conjecture,
? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xa,xR)
& ( X0 = xb
| aReductOfIn0(xb,X0,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,X0,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtplgtdt0(X0,xR,xb)
| sdtmndtasgtdt0(X0,xR,xb) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f21,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xa,xR)
& ( X0 = xb
| aReductOfIn0(xb,X0,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,X0,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtplgtdt0(X0,xR,xb)
| sdtmndtasgtdt0(X0,xR,xb) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f24,plain,
( ( aReductOfIn0(xb,xa,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xa,xR)
& sdtmndtplgtdt0(X0,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ),
inference(rectify,[],[f19]) ).
fof(f33,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR)
| ( xb != X0
& ~ aReductOfIn0(xb,X0,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,X0,xR)
| ~ sdtmndtplgtdt0(X1,xR,xb) )
& ~ sdtmndtplgtdt0(X0,xR,xb)
& ~ sdtmndtasgtdt0(X0,xR,xb) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f70,plain,
( ( aReductOfIn0(xb,xa,xR)
| ( aElement0(sK12)
& aReductOfIn0(sK12,xa,xR)
& sdtmndtplgtdt0(sK12,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( aReductOfIn0(xc,xa,xR)
| ( aElement0(sK13)
& aReductOfIn0(sK13,xa,xR)
& sdtmndtplgtdt0(sK13,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f24]) ).
fof(f103,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f132,plain,
( sdtmndtplgtdt0(sK12,xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f70]) ).
fof(f133,plain,
( aReductOfIn0(xb,xa,xR)
| aReductOfIn0(sK12,xa,xR) ),
inference(cnf_transformation,[],[f70]) ).
fof(f134,plain,
( aReductOfIn0(xb,xa,xR)
| aElement0(sK12) ),
inference(cnf_transformation,[],[f70]) ).
fof(f136,plain,
! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f139,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR)
| xb != X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f170,plain,
( ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb) ),
inference(equality_resolution,[],[f139]) ).
fof(f190,plain,
( aReductOfIn0(xb,xa,xR)
| ~ aReductOfIn0(sK12,xa,xR)
| ~ aElement0(sK12) ),
inference(resolution,[],[f132,f136]) ).
fof(f192,plain,
( aReductOfIn0(xb,xa,xR)
| ~ aReductOfIn0(sK12,xa,xR) ),
inference(forward_subsumption_resolution,[],[f190,f134]) ).
fof(f198,plain,
aReductOfIn0(xb,xa,xR),
inference(forward_subsumption_resolution,[],[f133,f192]) ).
fof(f199,plain,
~ aElement0(xb),
inference(resolution,[],[f198,f170]) ).
fof(f202,plain,
$false,
inference(forward_subsumption_resolution,[],[f199,f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM016+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:51:34 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.54/1.25 % (785140)Detected formulas, will run a generic FOF schedule.
% 3.54/1.25 % (785200)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=4283036310:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.54/1.25 % (785202)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2082520144:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.54/1.25 % (785203)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2630786825:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.54/1.25 % (785205)dis-21_1_sil=8000:lcm=predicate:random_seed=2356572515: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)
% 3.54/1.25 % (785199)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=1583514857:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.54/1.25 % (785201)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=1473855766:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.54/1.25 % (785204)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=796738066:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.54/1.25 % (785203)First to succeed.
% 3.54/1.25 % (785205)Also succeeded, but the first one will report.
% 3.54/1.25 % (785204)Also succeeded, but the first one will report.
% 3.54/1.25 % (785203)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-785140"
% 3.54/1.25 % (785202)Also succeeded, but the first one will report.
% 3.54/1.25 % (785203)Refutation found. Thanks to Tanya!
% 3.54/1.25 % SZS status Theorem for theBenchmark
% 3.54/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.25 % (785203)------------------------------
% 3.54/1.25 % (785203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.25 % (785203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.25 % (785203)CaDiCaL version: 2.1.3
% 3.54/1.25 % (785203)Termination reason: Refutation
% 3.54/1.25 % (785203)Time elapsed: 0.004 s
% 3.54/1.25 % (785203)Peak memory usage: 88 MB
% 3.54/1.25 % (785203)Instructions burned: 5 (million)
% 3.54/1.25 % (785203)------------------------------
% 3.54/1.25 % (785203)------------------------------
% 3.54/1.25 % (785140)Success in time 0.407 s
% 3.54/1.25 % Vampire exiting
%------------------------------------------------------------------------------