%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC364-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:03:39 PM UTC 2026
% Result : Unsatisfiable 3.59s 1.08s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 56 ( 15 unt; 5 def)
% Number of atoms : 130 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 143 ( 69 ~; 69 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f212,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
( app(cons(sk5,nil),sk3) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( sk4 = app(cons(sk5,nil),sk3)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f218,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f223,plain,
( ~ segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f215,f204,f205]) ).
fof(f228,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f233,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f235,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f239,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f241,plain,
( ~ segmentP(sk4,sk3)
| spl0_2 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f223,f239,f235]) ).
fof(f244,definition,
( spl0_3
<=> sk4 = app(cons(sk5,nil),sk3) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f246,plain,
( sk4 = app(cons(sk5,nil),sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f247,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f214,f244,f235]) ).
fof(f249,definition,
( spl0_4
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f251,plain,
( ssItem(sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f212,f249,f235]) ).
fof(f256,plain,
spl0_1,
inference(avatar_split_clause,[],[f233,f235]) ).
fof(f258,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f295,definition,
( spl0_6
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f296,plain,
( ssList(cons(sk5,nil))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f297,plain,
( ~ ssList(cons(sk5,nil))
| spl0_6 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f303,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_6 ),
inference(resolution,[],[f297,f86]) ).
fof(f304,plain,
( ~ ssItem(sk5)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f303,f8]) ).
fof(f305,plain,
( $false
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f304,f251]) ).
fof(f306,plain,
( ~ spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f478,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_3 ),
inference(superposition,[],[f228,f246]) ).
fof(f485,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f478,f296]) ).
fof(f489,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f485,f202]) ).
fof(f517,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f489,f258]) ).
fof(f520,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f517,f241]) ).
fof(f523,plain,
( ~ ssList(nil)
| spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f520,f203]) ).
fof(f524,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f523,f8]) ).
fof(f525,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f524]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f242]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f247]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f252]) ).
cnf(s7,plain,
spl0_1,
inference(sat_conversion,[],[f256]) ).
cnf(s9,plain,
( ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f306]) ).
cnf(s10,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f525]) ).
cnf(s11,plain,
spl0_4,
inference(rat,[],[s3,s7]) ).
cnf(s12,plain,
spl0_6,
inference(rat,[],[s9,s11]) ).
cnf(s13,plain,
spl0_3,
inference(rat,[],[s2,s7]) ).
cnf(s14,plain,
spl0_2,
inference(rat,[],[s10,s12,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s14,s7]) ).
fof(f526,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC364-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n005.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:17:46 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 3.59/1.08 % (661913)Input is clausal, will run a generic CNF schedule.
% 3.59/1.08 % (661924)dis-21_1_sil=8000:lcm=predicate:random_seed=3713333359: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)
% 3.59/1.08 % (661924)Instruction limit reached!
% 3.59/1.08 % (661924)------------------------------
% 3.59/1.08 % (661924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.08 % (661924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.08 % (661924)CaDiCaL version: 2.1.3
% 3.59/1.08 % (661924)Termination reason: Instruction limit
% 3.59/1.08 % (661924)Termination phase: Saturation
% 3.59/1.08 % (661924)Time elapsed: 0.036 s
% 3.59/1.08 % (661924)Peak memory usage: 90 MB
% 3.59/1.08 % (661924)Instructions burned: 121 (million)
% 3.59/1.08 % (661923)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1020410172:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.59/1.08 % (661921)lrs+10_1_sil=8000:sp=occurrence:random_seed=3784608065:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.59/1.08 % (661918)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=670964567:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.59/1.08 % (661920)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=619086548:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.59/1.08 % (661922)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=877888116:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.59/1.08 % (661919)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=362375220:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.59/1.08 % (661921)First to succeed.
% 3.59/1.08 % (661921)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-661913"
% 3.59/1.08 % (661922)Also succeeded, but the first one will report.
% 3.59/1.08 % (661923)Also succeeded, but the first one will report.
% 3.59/1.08 % (661932)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=4246250927:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.59/1.08 % (661932)Also succeeded, but the first one will report.
% 3.59/1.08 % (661921)Refutation found. Thanks to Tanya!
% 3.59/1.08 % SZS status Unsatisfiable for theBenchmark
% 3.59/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.08 % (661921)------------------------------
% 3.59/1.08 % (661921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.08 % (661921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.08 % (661921)CaDiCaL version: 2.1.3
% 3.59/1.08 % (661921)Termination reason: Refutation
% 3.59/1.08 % (661921)Time elapsed: 0.009 s
% 3.59/1.08 % (661921)Peak memory usage: 90 MB
% 3.59/1.08 % (661921)Instructions burned: 12 (million)
% 3.59/1.08 % (661921)------------------------------
% 3.59/1.08 % (661921)------------------------------
% 3.59/1.08 % (661913)Success in time 0.453 s
% 3.59/1.08 % Vampire exiting
%------------------------------------------------------------------------------