%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN208-1 : 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 : n019.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 01:49:55 PM UTC 2026
% Result : Unsatisfiable 4.20s 1.36s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 45 ( 17 unt; 4 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 76 ( 39 ~; 33 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f104,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_066) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_190) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_273) ).
fof(f369,negated_conjecture,
~ s3(d,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f816,definition,
( spl0_108
<=> ! [X2] : ~ s1(X2) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f817,plain,
( ! [X2] : ~ s1(X2)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f819,definition,
( spl0_109
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f820,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f821,plain,
( spl0_108
| spl0_109 ),
inference(avatar_split_clause,[],[f164,f819,f816]) ).
fof(f855,plain,
( s2(d)
| ~ s1(a) ),
inference(forward_subsumption_resolution,[],[f228,f1]) ).
fof(f983,definition,
( spl0_149
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f985,plain,
( ~ s1(a)
| spl0_149 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f987,definition,
( spl0_150
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f989,plain,
( s2(d)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f990,plain,
( ~ spl0_149
| spl0_150 ),
inference(avatar_split_clause,[],[f855,f987,f983]) ).
fof(f1073,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1074,plain,
( $false
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f1073,f817]) ).
fof(f1075,plain,
~ spl0_108,
inference(avatar_contradiction_clause,[],[f1074]) ).
fof(f1084,plain,
( s1(a)
| ~ spl0_109 ),
inference(resolution,[],[f820,f36]) ).
fof(f1087,plain,
( $false
| ~ spl0_109
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f1084,f985]) ).
fof(f1088,plain,
( ~ spl0_109
| spl0_149 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
fof(f1140,plain,
p1(d,d,d),
inference(resolution,[],[f104,f34]) ).
fof(f1318,plain,
q2(d,d,d),
inference(resolution,[],[f219,f1140]) ).
fof(f2386,plain,
! [X0,X1] :
( s3(d,X0)
| ~ s2(d)
| ~ m0(d,X1,X0) ),
inference(resolution,[],[f311,f1318]) ).
fof(f2401,plain,
( ! [X0,X1] :
( ~ m0(d,X1,X0)
| s3(d,X0) )
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f2386,f989]) ).
fof(f3395,plain,
( ! [X0] : s3(d,X0)
| ~ spl0_150 ),
inference(resolution,[],[f2401,f19]) ).
fof(f3398,plain,
( $false
| ~ spl0_150 ),
inference(resolution,[],[f3395,f369]) ).
fof(f3399,plain,
~ spl0_150,
inference(avatar_contradiction_clause,[],[f3398]) ).
cnf(s55,plain,
( spl0_108
| spl0_109 ),
inference(sat_conversion,[],[f821]) ).
cnf(s77,plain,
( ~ spl0_149
| spl0_150 ),
inference(sat_conversion,[],[f990]) ).
cnf(s104,plain,
~ spl0_108,
inference(sat_conversion,[],[f1075]) ).
cnf(s106,plain,
( ~ spl0_109
| spl0_149 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s232,plain,
~ spl0_150,
inference(sat_conversion,[],[f3399]) ).
cnf(s243,plain,
~ spl0_149,
inference(rat,[],[s77,s232]) ).
cnf(s244,plain,
~ spl0_109,
inference(rat,[],[s106,s243]) ).
cnf(s251,plain,
$false,
inference(rat,[],[s55,s244,s104]) ).
fof(f3400,plain,
$false,
inference(avatar_sat_refutation,[],[s251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN208-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n019.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:38:33 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 4.20/1.36 % (4101391)Input is clausal, will run a generic CNF schedule.
% 4.20/1.36 % (4101457)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3218009552:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.20/1.36 % (4101455)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=4016593546:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.20/1.36 % (4101460)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3647011084:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.20/1.36 % (4101462)dis-21_1_sil=8000:lcm=predicate:random_seed=1772379278: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)
% 4.20/1.36 % (4101459)lrs+10_1_sil=8000:sp=occurrence:random_seed=4221664282:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.20/1.36 % (4101458)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2406645111:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.20/1.36 % (4101461)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1174481279:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.20/1.36 % (4101459)First to succeed.
% 4.20/1.36 % (4101459)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4101391"
% 4.20/1.36 % (4101461)Also succeeded, but the first one will report.
% 4.20/1.36 % (4101460)Also succeeded, but the first one will report.
% 4.20/1.36 % (4101462)Instruction limit reached!
% 4.20/1.36 % (4101462)------------------------------
% 4.20/1.36 % (4101462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.36 % (4101462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.36 % (4101462)CaDiCaL version: 2.1.3
% 4.20/1.36 % (4101462)Termination reason: Instruction limit
% 4.20/1.36 % (4101462)Termination phase: Saturation
% 4.20/1.36 % (4101462)Time elapsed: 0.055 s
% 4.20/1.36 % (4101462)Peak memory usage: 89 MB
% 4.20/1.36 % (4101462)Instructions burned: 117 (million)
% 4.20/1.36 % (4101521)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=2829541453:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.20/1.36 % (4101521)Refutation not found, incomplete strategy
% 4.20/1.36 % (4101521)------------------------------
% 4.20/1.36 % (4101521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.36 % (4101521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.36 % (4101521)CaDiCaL version: 2.1.3
% 4.20/1.36 % (4101521)Termination reason: Refutation not found, incomplete strategy
% 4.20/1.36 % (4101521)Time elapsed: 0.001 s
% 4.20/1.36 % (4101521)Peak memory usage: 87 MB
% 4.20/1.36 % (4101521)Instructions burned: 1 (million)
% 4.20/1.36 % (4101459)Refutation found. Thanks to Tanya!
% 4.20/1.36 % SZS status Unsatisfiable for theBenchmark
% 4.20/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.36 % (4101459)------------------------------
% 4.20/1.36 % (4101459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.36 % (4101459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.36 % (4101459)CaDiCaL version: 2.1.3
% 4.20/1.36 % (4101459)Termination reason: Refutation
% 4.20/1.36 % (4101459)Time elapsed: 0.037 s
% 4.20/1.36 % (4101459)Peak memory usage: 90 MB
% 4.20/1.36 % (4101459)Instructions burned: 51 (million)
% 4.20/1.36 % (4101459)------------------------------
% 4.20/1.36 % (4101459)------------------------------
% 4.20/1.36 % (4101391)Success in time 0.519 s
% 4.20/1.36 % Vampire exiting
%------------------------------------------------------------------------------