%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM018+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:40:09 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 18 ~; 15 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 15 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] :
( ( aRewritingSystem0(X0)
& isTerminating0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermNF) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f16,axiom,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
fof(f22,axiom,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f23,conjecture,
? [X0] : aNormalFormOfIn0(X0,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f24,negated_conjecture,
~ ? [X0] : aNormalFormOfIn0(X0,xw,xR),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X1) )
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X1) )
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(flattening,[],[f49]) ).
fof(f53,plain,
! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
inference(ennf_transformation,[],[f24]) ).
fof(f92,plain,
! [X0,X1] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| aNormalFormOfIn0(sK12(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f93,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f94,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f16]) ).
fof(f112,plain,
aElement0(xw),
inference(cnf_transformation,[],[f22]) ).
fof(f113,plain,
! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
inference(cnf_transformation,[],[f53]) ).
fof(f151,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| isTerminating0(X0)
| aElement0(X1)
| ~ aNormalFormOfIn0(sK12(X0,X1),X1,X0) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f153,plain,
~ isTerminating0(xR),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f166,plain,
~ aElement0(xw),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f167,plain,
! [X0] : aNormalFormOfIn0(X0,xw,xR),
inference(consistent_polarity_flipping,[],[f113]) ).
fof(f170,plain,
! [X0] :
( isTerminating0(xR)
| aElement0(X0)
| ~ aNormalFormOfIn0(sK12(xR,X0),X0,xR) ),
inference(resolution,[],[f151,f93]) ).
fof(f171,plain,
! [X0] :
( ~ aNormalFormOfIn0(sK12(xR,X0),X0,xR)
| aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f170,f153]) ).
fof(f172,plain,
aElement0(xw),
inference(resolution,[],[f171,f167]) ).
fof(f176,plain,
$false,
inference(forward_subsumption_resolution,[],[f172,f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM018+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 21:41:22 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.25 % (4066686)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (4066692)% WARNING: option uhcvi not known.
% 0.07/0.25 % (4066692)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3917292172:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (4066692) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4066686-4066692"...
% 0.07/0.25 % (4066692)...printing done.
% 0.07/0.25 % (4066692)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (4066692)------------------------------
% 0.07/0.25 % (4066692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (4066692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (4066692)CaDiCaL version: 2.1.3
% 0.07/0.25 % (4066692)Termination reason: Refutation
% 0.07/0.25 % (4066692)Time elapsed: 0.002 s
% 0.07/0.25 % (4066692)Peak memory usage: 12 MB
% 0.07/0.25 % (4066692)Instructions burned: 4 (million)
% 0.07/0.25 % (4066686)Success in time 0.031 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------