%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC277-1 : 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 : 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 01:03:15 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.13s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 40 ( 15 unt; 2 def)
% Number of atoms : 77 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 31 ~; 35 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 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(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
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(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
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(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f211,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f225,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f227,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f229,definition,
( spl0_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f231,plain,
( singletonP(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f208,f229,f225]) ).
fof(f255,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f102,f227]) ).
fof(f260,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f255,f203]) ).
fof(f261,plain,
( nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f260,f8]) ).
fof(f265,plain,
( segmentP(nil,sk3)
| spl0_1 ),
inference(superposition,[],[f206,f261]) ).
fof(f276,plain,
( ~ ssList(sk3)
| nil = sk3
| spl0_1 ),
inference(resolution,[],[f265,f80]) ).
fof(f277,plain,
( nil = sk3
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f276,f202]) ).
fof(f283,plain,
( ~ totalorderedP(nil)
| spl0_1 ),
inference(superposition,[],[f211,f277]) ).
fof(f287,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f283,f4]) ).
fof(f288,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f290,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl0_2 ),
inference(resolution,[],[f231,f103]) ).
fof(f291,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f290,f202]) ).
fof(f295,plain,
( totalorderedP(sk3)
| ~ ssItem(skaf44(sk3))
| ~ spl0_2 ),
inference(superposition,[],[f67,f291]) ).
fof(f301,plain,
( ~ ssItem(skaf44(sk3))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f295,f211]) ).
fof(f304,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f301,f47]) ).
fof(f305,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f304]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f232]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f288]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f305]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f306,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC277-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n006.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 08:50:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 0.20/1.13 % (3824184)Input is clausal, will run a generic CNF schedule.
% 0.20/1.13 % (3824192)lrs+10_1_sil=8000:sp=occurrence:random_seed=4035462023:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.13 % (3824192)First to succeed.
% 0.20/1.13 % (3824192)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3824184"
% 0.20/1.13 % (3824191)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=407117312:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.13 % (3824193)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2644473145:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.13 % (3824190)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2884170597:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.13 % (3824195)dis-21_1_sil=8000:lcm=predicate:random_seed=4207519985: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)
% 0.20/1.13 % (3824189)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=2536408641:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.13 % (3824194)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2170870840:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.13 % (3824194)Also succeeded, but the first one will report.
% 0.20/1.13 % (3824195)Instruction limit reached!
% 0.20/1.13 % (3824195)------------------------------
% 0.20/1.13 % (3824195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3824195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3824195)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3824195)Termination reason: Instruction limit
% 0.20/1.13 % (3824195)Termination phase: Saturation
% 0.20/1.13 % (3824195)Time elapsed: 0.052 s
% 0.20/1.13 % (3824195)Peak memory usage: 88 MB
% 0.20/1.13 % (3824195)Instructions burned: 117 (million)
% 0.20/1.13 % (3824193)Instruction limit reached!
% 0.20/1.13 % (3824193)------------------------------
% 0.20/1.13 % (3824193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3824193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3824193)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3824193)Termination reason: Instruction limit
% 0.20/1.13 % (3824193)Termination phase: Saturation
% 0.20/1.13 % (3824193)Time elapsed: 0.054 s
% 0.20/1.13 % (3824193)Peak memory usage: 88 MB
% 0.20/1.13 % (3824193)Instructions burned: 114 (million)
% 0.20/1.13 % (3824192)Refutation found. Thanks to Tanya!
% 0.20/1.13 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.13 % (3824192)------------------------------
% 0.20/1.13 % (3824192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3824192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3824192)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3824192)Termination reason: Refutation
% 0.20/1.13 % (3824192)Time elapsed: 0.003 s
% 0.20/1.13 % (3824192)Peak memory usage: 89 MB
% 0.20/1.13 % (3824192)Instructions burned: 5 (million)
% 0.20/1.13 % (3824192)------------------------------
% 0.20/1.13 % (3824192)------------------------------
% 0.20/1.13 % (3824184)Success in time 0.286 s
% 0.20/1.13 % Vampire exiting
%------------------------------------------------------------------------------