%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC275-1 : 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 : 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 01:03:14 PM UTC 2026
% Result : Unsatisfiable 2.69s 0.84s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 14 unt; 5 def)
% Number of atoms : 96 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 88 ( 42 ~; 41 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f209]) ).
fof(f214,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
fof(f228,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f230,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f237,definition,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f239,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f240,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f210,f237,f228]) ).
fof(f242,definition,
( spl0_4
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f244,plain,
( ssItem(sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f208,f242,f228]) ).
fof(f247,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f249,plain,
( nil != sk4
| spl0_5 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_6
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f253,plain,
( nil = sk3
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f254,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f207,f251,f247]) ).
fof(f272,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f102,f230]) ).
fof(f277,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f272,f203]) ).
fof(f278,plain,
( nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f277,f8]) ).
fof(f279,plain,
( $false
| spl0_1
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f278,f249]) ).
fof(f280,plain,
( spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f287,plain,
( ~ totalorderedP(nil)
| ~ spl0_6 ),
inference(superposition,[],[f214,f253]) ).
fof(f289,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f287,f4]) ).
fof(f290,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f292,plain,
( totalorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl0_3 ),
inference(superposition,[],[f67,f239]) ).
fof(f298,plain,
( ~ ssItem(sk5)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f292,f214]) ).
fof(f300,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f298,f244]) ).
fof(f301,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f300]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f240]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f245]) ).
cnf(s4,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f254]) ).
cnf(s5,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f280]) ).
cnf(s6,plain,
~ spl0_6,
inference(sat_conversion,[],[f290]) ).
cnf(s7,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f301]) ).
cnf(s8,plain,
~ spl0_5,
inference(rat,[],[s4,s6]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s5,s8]) ).
cnf(s10,plain,
spl0_4,
inference(rat,[],[s3,s9]) ).
cnf(s11,plain,
~ spl0_3,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s11,s9]) ).
fof(f302,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC275-1 : TPTP v9.3.1. Released v2.4.0.
% 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 08:50:19 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
% 2.69/0.84 % (3241902)Input is clausal, will run a generic CNF schedule.
% 2.69/0.84 % (3241936)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=434837808:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/0.84 % (3241935)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1191257192:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/0.84 % (3241937)lrs+10_1_sil=8000:sp=occurrence:random_seed=3903454856:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/0.84 % (3241937)First to succeed.
% 2.69/0.84 % (3241937)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3241902"
% 2.69/0.84 % (3241934)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=109278078:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/0.84 % (3241939)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3705473144:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/0.84 % (3241940)dis-21_1_sil=8000:lcm=predicate:random_seed=3304082518: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)
% 2.69/0.84 % (3241938)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3955251962:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/0.84 % (3241938)Also succeeded, but the first one will report.
% 2.69/0.84 % (3241939)Also succeeded, but the first one will report.
% 2.69/0.84 % (3241940)Instruction limit reached!
% 2.69/0.84 % (3241940)------------------------------
% 2.69/0.84 % (3241940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/0.84 % (3241940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.84 % (3241940)CaDiCaL version: 2.1.3
% 2.69/0.84 % (3241940)Termination reason: Instruction limit
% 2.69/0.84 % (3241940)Termination phase: Saturation
% 2.69/0.84 % (3241940)Time elapsed: 0.038 s
% 2.69/0.84 % (3241940)Peak memory usage: 89 MB
% 2.69/0.84 % (3241940)Instructions burned: 119 (million)
% 2.69/0.84 % (3241956)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=1726578009:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.69/0.84 % (3241937)Refutation found. Thanks to Tanya!
% 2.69/0.84 % SZS status Unsatisfiable for theBenchmark
% 2.69/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/0.84 % (3241937)------------------------------
% 2.69/0.84 % (3241937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/0.84 % (3241937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.84 % (3241937)CaDiCaL version: 2.1.3
% 2.69/0.84 % (3241937)Termination reason: Refutation
% 2.69/0.84 % (3241937)Time elapsed: 0.004 s
% 2.69/0.84 % (3241937)Peak memory usage: 90 MB
% 2.69/0.84 % (3241937)Instructions burned: 5 (million)
% 2.69/0.84 % (3241937)------------------------------
% 2.69/0.84 % (3241937)------------------------------
% 2.69/0.84 % (3241902)Success in time 0.344 s
% 2.69/0.84 % Vampire exiting
%------------------------------------------------------------------------------