%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW399-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:30:16 PM UTC 2026
% Result : Unsatisfiable 2.60s 1.16s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 14 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))
| X0 = X1
| heap(sep(lseg(X0,X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_2) ).
fof(f13,axiom,
nil != x1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
fof(f14,axiom,
heap(sep(next(x1,nil),emp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f15,negated_conjecture,
~ heap(sep(lseg(x1,nil),emp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
fof(f61,plain,
! [X2,X0,X1] :
( heap(sep(lseg(X1,X2),X0))
| X1 = X2
| ~ heap(sep(next(X1,X2),X0)) ),
inference(superposition,[],[f9,f2]) ).
fof(f409,plain,
( nil = x1
| ~ heap(sep(next(x1,nil),emp)) ),
inference(resolution,[],[f61,f15]) ).
fof(f430,plain,
~ heap(sep(next(x1,nil),emp)),
inference(forward_subsumption_resolution,[],[f409,f13]) ).
fof(f431,plain,
$false,
inference(forward_subsumption_resolution,[],[f430,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW399-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n006.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 13:49:13 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 2.60/1.16 % (3975198)Input is clausal, will run a generic CNF schedule.
% 2.60/1.16 % (3975207)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3688747077:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.60/1.16 % (3975207)First to succeed.
% 2.60/1.16 % (3975207)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3975198"
% 2.60/1.16 % (3975208)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1376757729:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.60/1.16 % (3975206)lrs+10_1_sil=8000:sp=occurrence:random_seed=611335667:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.60/1.16 % (3975204)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2905632988:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.60/1.16 % (3975203)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=918634168:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.60/1.16 % (3975205)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3879574461:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.60/1.16 % (3975209)dis-21_1_sil=8000:lcm=predicate:random_seed=1325427643:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.60/1.16 % (3975206)Also succeeded, but the first one will report.
% 2.60/1.16 % (3975209)Refutation not found, incomplete strategy
% 2.60/1.16 % (3975209)------------------------------
% 2.60/1.16 % (3975209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.16 % (3975209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.16 % (3975209)CaDiCaL version: 2.1.3
% 2.60/1.16 % (3975209)Termination reason: Refutation not found, incomplete strategy
% 2.60/1.16 % (3975209)Time elapsed: 0.002 s
% 2.60/1.16 % (3975209)Peak memory usage: 88 MB
% 2.60/1.16 % (3975209)Instructions burned: 1 (million)
% 2.60/1.16 % (3975208)Also succeeded, but the first one will report.
% 2.60/1.16 % (3975207)Refutation found. Thanks to Tanya!
% 2.60/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.60/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.16 % (3975207)------------------------------
% 2.60/1.16 % (3975207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.16 % (3975207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.16 % (3975207)CaDiCaL version: 2.1.3
% 2.60/1.16 % (3975207)Termination reason: Refutation
% 2.60/1.16 % (3975207)Time elapsed: 0.007 s
% 2.60/1.16 % (3975207)Peak memory usage: 88 MB
% 2.60/1.16 % (3975207)Instructions burned: 17 (million)
% 2.60/1.16 % (3975207)------------------------------
% 2.60/1.16 % (3975207)------------------------------
% 2.60/1.16 % (3975198)Success in time 0.274 s
% 2.60/1.16 % Vampire exiting
%------------------------------------------------------------------------------