%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC349+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 01:05:39 PM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 52 ( 15 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 53 ( 17 ~; 11 |; 16 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X2
| X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| frontsegP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X2
| X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| frontsegP(X1,X0) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f157,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil = X2
& X1 = X3
& X0 = X2
& neq(X1,nil)
& ~ frontsegP(X1,X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil = X2
& X1 = X3
& X0 = X2
& neq(X1,nil)
& ~ frontsegP(X1,X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f345,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf_transformation,[],[f157]) ).
fof(f411,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
~ frontsegP(sK48,sK47),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
nil = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f432,plain,
! [X0] :
( frontsegP(X0,sK49)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f345,f416]) ).
fof(f479,plain,
~ frontsegP(sK50,sK49),
inference(definition_unfolding,[],[f412,f415,f414]) ).
fof(f622,plain,
~ ssList(sK50),
inference(resolution,[],[f432,f479]) ).
fof(f623,plain,
$false,
inference(forward_subsumption_resolution,[],[f622,f411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC349+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:12:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.28 % (223182)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (223187)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4066547999_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (223188)% WARNING: option uhcvi not known.
% 0.20/0.28 % TRYING [1]
% 0.20/0.28 % (223192)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4116109748:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (223188)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1156066520:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (223189)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=557783887:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (223190)dis+10_1_sil=32000:sp=arity:random_seed=311917684:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (223191)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3004449680:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % TRYING [2]
% 0.20/0.28 % (223193)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2704782172:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % TRYING [3]
% 0.20/0.29 % (223188) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-223182-223188"...
% 0.20/0.29 % (223190) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-223182-223190"...
% 0.20/0.29 % (223189) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-223182-223189"...
% 0.20/0.29 % (223188)...printing done.
% 0.20/0.29 % (223190)...printing done.
% 0.20/0.29 % (223192) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-223182-223192"...
% 0.20/0.29 % (223188)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (223188)------------------------------
% 0.20/0.29 % (223188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (223188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (223188)CaDiCaL version: 2.1.3
% 0.20/0.29 % (223188)Termination reason: Refutation
% 0.20/0.29 % (223188)Time elapsed: 0.006 s
% 0.20/0.29 % (223188)Peak memory usage: 12 MB
% 0.20/0.29 % (223188)Instructions burned: 9 (million)
% 0.20/0.29 % (223182)Success in time 0.054 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------