%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW423-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:30:18 PM UTC 2026
% Result : Unsatisfiable 2.13s 0.71s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 14 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_commutative) ).
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/sandbox/benchmark/theBenchmark.p',unfolding_2) ).
fof(f14,axiom,
x2 != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f15,plain,
x1 != x2,
inference(reorient_equations,[],[f14]) ).
fof(f17,axiom,
heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).
fof(f18,negated_conjecture,
~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
fof(f20,plain,
! [X2,X3,X0,X1] : sep(X1,sep(X3,sep(X0,X2))) = sep(X3,sep(X0,sep(X1,X2))),
inference(superposition,[],[f1,f1]) ).
fof(f324,plain,
heap(sep(next(x1,x2),sep(lseg(x2,nil),sep(lseg(x3,nil),emp)))),
inference(superposition,[],[f17,f20]) ).
fof(f373,plain,
( x1 = x2
| heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))) ),
inference(resolution,[],[f324,f9]) ).
fof(f376,plain,
heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))),
inference(forward_subsumption_resolution,[],[f373,f15]) ).
fof(f377,plain,
$false,
inference(forward_subsumption_resolution,[],[f376,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW423-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 13:51:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running first-order theorem proving
% 0.08/0.13 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
% 2.13/0.71 % (3383898)Input is clausal, will run a generic CNF schedule.
% 2.13/0.71 % (3383969)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3532411587:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 2.13/0.71 % (3383970)lrs+10_1_sil=8000:sp=occurrence:random_seed=3292952224:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 2.13/0.71 % (3383972)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2980668463:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 2.13/0.71 % (3383967)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=848713451:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 2.13/0.71 % (3383973)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3042482883:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 2.13/0.71 % (3383966)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=586347771:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 2.13/0.71 % (3383972)First to succeed.
% 2.13/0.71 % (3383972)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3383898"
% 2.13/0.71 % (3383974)dis-21_1_sil=8000:lcm=predicate:random_seed=3580489092:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 2.13/0.71 % (3383974)Refutation not found, incomplete strategy
% 2.13/0.71 % (3383974)------------------------------
% 2.13/0.71 % (3383974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/0.71 % (3383974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.71 % (3383974)CaDiCaL version: 2.1.3
% 2.13/0.71 % (3383974)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.71 % (3383974)Time elapsed: 0.001 s
% 2.13/0.71 % (3383974)Peak memory usage: 88 MB
% 2.13/0.71 % (3383974)Instructions burned: 2 (million)
% 2.13/0.71 % (3383970)Instruction limit reached!
% 2.13/0.71 % (3383970)------------------------------
% 2.13/0.71 % (3383970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/0.71 % (3383970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.71 % (3383970)CaDiCaL version: 2.1.3
% 2.13/0.71 % (3383970)Termination reason: Instruction limit
% 2.13/0.71 % (3383970)Termination phase: Saturation
% 2.13/0.71 % (3383970)Time elapsed: 0.035 s
% 2.13/0.71 % (3383970)Peak memory usage: 88 MB
% 2.13/0.71 % (3383970)Instructions burned: 110 (million)
% 2.13/0.71 % (3383973)Instruction limit reached!
% 2.13/0.71 % (3383973)------------------------------
% 2.13/0.71 % (3383973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/0.71 % (3383973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.71 % (3383973)CaDiCaL version: 2.1.3
% 2.13/0.71 % (3383973)Termination reason: Instruction limit
% 2.13/0.71 % (3383973)Termination phase: Saturation
% 2.13/0.71 % (3383973)Time elapsed: 0.055 s
% 2.13/0.71 % (3383973)Peak memory usage: 89 MB
% 2.13/0.71 % (3383973)Instructions burned: 182 (million)
% 2.13/0.71 % (3384021)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2068377905:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.13/0.71 % (3384021)Also succeeded, but the first one will report.
% 2.13/0.71 % (3384030)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1965283676:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.13/0.71 % (3384030)Also succeeded, but the first one will report.
% 2.13/0.71 % (3383972)Refutation found. Thanks to Tanya!
% 2.13/0.71 % SZS status Unsatisfiable for theBenchmark
% 2.13/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.71 % (3383972)------------------------------
% 2.13/0.71 % (3383972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/0.71 % (3383972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.71 % (3383972)CaDiCaL version: 2.1.3
% 2.13/0.71 % (3383972)Termination reason: Refutation
% 2.13/0.71 % (3383972)Time elapsed: 0.006 s
% 2.13/0.71 % (3383972)Peak memory usage: 88 MB
% 2.13/0.71 % (3383972)Instructions burned: 16 (million)
% 2.13/0.71 % (3383972)------------------------------
% 2.13/0.71 % (3383972)------------------------------
% 2.13/0.71 % (3383898)Success in time 0.256 s
% 2.13/0.71 % Vampire exiting
%------------------------------------------------------------------------------