%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN148-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 01:49:46 PM UTC 2026
% Result : Unsatisfiable 0.18s 1.20s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 14 unt; 5 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 52 ~; 42 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f88,axiom,
! [X0,X1] :
( n1(X0,X1,X0)
| ~ s0(b)
| ~ l0(X0)
| ~ p0(b,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_050) ).
fof(f92,axiom,
! [X2,X0,X1] :
( n1(X0,X1,X1)
| ~ l0(X2)
| ~ l1(X2,X0)
| ~ n1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_054) ).
fof(f369,negated_conjecture,
~ n1(c,d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f900,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f901,plain,
( l0(c)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f1170,definition,
( spl0_201
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1419,definition,
( spl0_261
<=> ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
fof(f1420,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f1421,plain,
( ~ spl0_201
| spl0_261 ),
inference(avatar_split_clause,[],[f88,f1419,f1170]) ).
fof(f1558,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f900]) ).
fof(f1567,plain,
spl0_201,
inference(avatar_split_clause,[],[f5,f1170]) ).
fof(f1702,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ l0(X0) )
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f1420,f14]) ).
fof(f1827,plain,
! [X0] :
( ~ l0(X0)
| ~ l1(X0,c)
| ~ n1(c,d,c) ),
inference(resolution,[],[f92,f369]) ).
fof(f1829,definition,
( spl0_302
<=> n1(c,d,c) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
fof(f1831,plain,
( ~ n1(c,d,c)
| spl0_302 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f1833,definition,
( spl0_303
<=> ! [X0] :
( ~ l0(X0)
| ~ l1(X0,c) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
fof(f1834,plain,
( ! [X0] :
( ~ l1(X0,c)
| ~ l0(X0) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f1833]) ).
fof(f1835,plain,
( ~ spl0_302
| spl0_303 ),
inference(avatar_split_clause,[],[f1827,f1833,f1829]) ).
fof(f1838,plain,
( ~ l0(c)
| ~ spl0_261
| spl0_302 ),
inference(resolution,[],[f1831,f1702]) ).
fof(f1839,plain,
( $false
| ~ spl0_134
| ~ spl0_261
| spl0_302 ),
inference(forward_subsumption_resolution,[],[f1838,f901]) ).
fof(f1840,plain,
( ~ spl0_134
| ~ spl0_261
| spl0_302 ),
inference(avatar_contradiction_clause,[],[f1839]) ).
fof(f1851,plain,
( ! [X0] :
( ~ l0(c)
| ~ n0(X0,c) )
| ~ spl0_303 ),
inference(resolution,[],[f1834,f40]) ).
fof(f1852,plain,
( ! [X0] : ~ n0(X0,c)
| ~ spl0_134
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f1851,f901]) ).
fof(f1853,plain,
( $false
| ~ spl0_134
| ~ spl0_303 ),
inference(resolution,[],[f1852,f26]) ).
fof(f1854,plain,
( ~ spl0_134
| ~ spl0_303 ),
inference(avatar_contradiction_clause,[],[f1853]) ).
cnf(s131,plain,
( ~ spl0_201
| spl0_261 ),
inference(sat_conversion,[],[f1421]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1558]) ).
cnf(s167,plain,
spl0_201,
inference(sat_conversion,[],[f1567]) ).
cnf(s246,plain,
( ~ spl0_302
| spl0_303 ),
inference(sat_conversion,[],[f1835]) ).
cnf(s247,plain,
( ~ spl0_134
| ~ spl0_261
| spl0_302 ),
inference(sat_conversion,[],[f1840]) ).
cnf(s249,plain,
( ~ spl0_134
| ~ spl0_303 ),
inference(sat_conversion,[],[f1854]) ).
cnf(s257,plain,
~ spl0_303,
inference(rat,[],[s249,s158]) ).
cnf(s259,plain,
~ spl0_302,
inference(rat,[],[s246,s257]) ).
cnf(s260,plain,
~ spl0_261,
inference(rat,[],[s247,s158,s259]) ).
cnf(s279,plain,
$false,
inference(rat,[],[s131,s260,s167]) ).
fof(f1855,plain,
$false,
inference(avatar_sat_refutation,[],[s279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN148-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n020.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 15:37:50 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 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
% 0.18/1.20 % (250893)Input is clausal, will run a generic CNF schedule.
% 0.18/1.20 % (250900)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3192237684:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.20 % (250904)dis-21_1_sil=8000:lcm=predicate:random_seed=317057075: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)
% 0.18/1.20 % (250901)lrs+10_1_sil=8000:sp=occurrence:random_seed=3662371007:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.20 % (250903)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=173081729:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.20 % (250899)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1501511606:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.20 % (250898)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=3461628403:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.20 % (250902)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1634192815:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.20 % (250901)Refutation not found, incomplete strategy
% 0.18/1.20 % (250901)------------------------------
% 0.18/1.20 % (250901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (250901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (250901)CaDiCaL version: 2.1.3
% 0.18/1.20 % (250901)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.20 % (250901)Time elapsed: 0.003 s
% 0.18/1.20 % (250901)Peak memory usage: 88 MB
% 0.18/1.20 % (250901)Instructions burned: 2 (million)
% 0.18/1.20 % (250903)First to succeed.
% 0.18/1.20 % (250903)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-250893"
% 0.18/1.20 % (250902)Also succeeded, but the first one will report.
% 0.18/1.20 % (250904)Instruction limit reached!
% 0.18/1.20 % (250904)------------------------------
% 0.18/1.20 % (250904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (250904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (250904)CaDiCaL version: 2.1.3
% 0.18/1.20 % (250904)Termination reason: Instruction limit
% 0.18/1.20 % (250904)Termination phase: Saturation
% 0.18/1.20 % (250904)Time elapsed: 0.056 s
% 0.18/1.20 % (250904)Peak memory usage: 89 MB
% 0.18/1.20 % (250904)Instructions burned: 119 (million)
% 0.18/1.20 % (250912)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=1552599169:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.18/1.20 % (250912)Refutation not found, incomplete strategy
% 0.18/1.20 % (250912)------------------------------
% 0.18/1.20 % (250912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (250912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (250912)CaDiCaL version: 2.1.3
% 0.18/1.20 % (250912)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.20 % (250912)Time elapsed: 0.002 s
% 0.18/1.20 % (250912)Peak memory usage: 87 MB
% 0.18/1.20 % (250912)Instructions burned: 1 (million)
% 0.18/1.20 % (250901)------------------------------
% 0.18/1.20 % (250901)------------------------------
% 0.18/1.20 % (250903)Refutation found. Thanks to Tanya!
% 0.18/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.20 % (250903)------------------------------
% 0.18/1.20 % (250903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20 % (250903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20 % (250903)CaDiCaL version: 2.1.3
% 0.18/1.20 % (250903)Termination reason: Refutation
% 0.18/1.20 % (250903)Time elapsed: 0.017 s
% 0.18/1.20 % (250903)Peak memory usage: 90 MB
% 0.18/1.20 % (250903)Instructions burned: 25 (million)
% 0.18/1.20 % (250903)------------------------------
% 0.18/1.20 % (250903)------------------------------
% 0.18/1.20 % (250893)Success in time 0.438 s
% 0.18/1.20 % Vampire exiting
%------------------------------------------------------------------------------