%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN203-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:49:54 PM UTC 2026
% Result : Unsatisfiable 3.93s 1.49s
% Output : Refutation 3.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 76 ( 24 unt; 8 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 177 ( 88 ~; 81 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 9 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f33,axiom,
q0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f104,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_066) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).
fof(f221,axiom,
! [X0,X1] :
( q2(X0,c,X1)
| ~ k1(X1)
| ~ l0(c)
| ~ l2(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_183) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_189) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_273) ).
fof(f369,negated_conjecture,
! [X0] : ~ s3(X0,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f582,definition,
( spl0_52
<=> p1(c,c,c) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f584,plain,
( p1(c,c,c)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f699,definition,
( spl0_80
<=> ! [X2] : ~ p0(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f700,plain,
( ! [X2] : ~ p0(X2,X2)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f699]) ).
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(f823,definition,
( spl0_110
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f824,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| l2(X0,X0) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f825,plain,
( spl0_80
| spl0_110 ),
inference(avatar_split_clause,[],[f171,f823,f699]) ).
fof(f848,definition,
( spl0_116
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f850,plain,
( ~ s1(b)
| spl0_116 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f852,definition,
( spl0_117
<=> ! [X0] :
( s2(X0)
| ~ q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f853,plain,
( ! [X0] :
( ~ q2(b,X0,b)
| s2(X0) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f854,plain,
( ~ spl0_116
| spl0_117 ),
inference(avatar_split_clause,[],[f227,f852,f848]) ).
fof(f877,definition,
( spl0_123
<=> s2(c) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f878,plain,
( s2(c)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f879,plain,
( ~ s2(c)
| spl0_123 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f902,plain,
! [X0,X1] :
( q2(X0,c,X1)
| ~ k1(X1)
| ~ l2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f221,f24]) ).
fof(f1033,plain,
( $false
| ~ spl0_80 ),
inference(resolution,[],[f700,f14]) ).
fof(f1034,plain,
~ spl0_80,
inference(avatar_contradiction_clause,[],[f1033]) ).
fof(f1054,plain,
k1(b),
inference(resolution,[],[f39,f15]) ).
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(f1076,plain,
( $false
| spl0_116 ),
inference(forward_subsumption_resolution,[],[f1073,f850]) ).
fof(f1077,plain,
spl0_116,
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1082,plain,
( s1(d)
| ~ spl0_109 ),
inference(resolution,[],[f820,f33]) ).
fof(f1135,plain,
p1(c,c,c),
inference(resolution,[],[f104,f26]) ).
fof(f1141,plain,
spl0_52,
inference(avatar_split_clause,[],[f1135,f582]) ).
fof(f1322,plain,
( q2(c,c,c)
| ~ spl0_52 ),
inference(resolution,[],[f219,f584]) ).
fof(f1556,plain,
( ! [X0] :
( ~ s1(d)
| l2(X0,X0) )
| ~ spl0_110 ),
inference(resolution,[],[f824,f19]) ).
fof(f1573,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_109
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f1556,f1082]) ).
fof(f1582,plain,
( ~ k1(b)
| ~ l2(b,b)
| s2(c)
| ~ spl0_117 ),
inference(resolution,[],[f902,f853]) ).
fof(f1592,plain,
( ~ l2(b,b)
| s2(c)
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f1582,f1054]) ).
fof(f1593,plain,
( s2(c)
| ~ spl0_109
| ~ spl0_110
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f1592,f1573]) ).
fof(f1594,plain,
( $false
| ~ spl0_109
| ~ spl0_110
| ~ spl0_117
| spl0_123 ),
inference(forward_subsumption_resolution,[],[f1593,f879]) ).
fof(f1595,plain,
( ~ spl0_109
| ~ spl0_110
| ~ spl0_117
| spl0_123 ),
inference(avatar_contradiction_clause,[],[f1594]) ).
fof(f2390,plain,
( ! [X0,X1] :
( s3(c,X0)
| ~ s2(c)
| ~ m0(c,X1,X0) )
| ~ spl0_52 ),
inference(resolution,[],[f311,f1322]) ).
fof(f2391,plain,
( ! [X0,X1] :
( ~ m0(c,X1,X0)
| s3(c,X0) )
| ~ spl0_52
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f2390,f878]) ).
fof(f3339,plain,
( ! [X0] : s3(c,X0)
| ~ spl0_52
| ~ spl0_123 ),
inference(resolution,[],[f2391,f19]) ).
fof(f3347,plain,
( $false
| ~ spl0_52
| ~ spl0_123 ),
inference(resolution,[],[f3339,f369]) ).
fof(f3348,plain,
( ~ spl0_52
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f3347]) ).
cnf(s55,plain,
( spl0_108
| spl0_109 ),
inference(sat_conversion,[],[f821]) ).
cnf(s56,plain,
( spl0_80
| spl0_110 ),
inference(sat_conversion,[],[f825]) ).
cnf(s59,plain,
( ~ spl0_116
| spl0_117 ),
inference(sat_conversion,[],[f854]) ).
cnf(s88,plain,
~ spl0_80,
inference(sat_conversion,[],[f1034]) ).
cnf(s104,plain,
~ spl0_108,
inference(sat_conversion,[],[f1075]) ).
cnf(s105,plain,
spl0_116,
inference(sat_conversion,[],[f1077]) ).
cnf(s119,plain,
spl0_52,
inference(sat_conversion,[],[f1141]) ).
cnf(s157,plain,
( ~ spl0_109
| ~ spl0_110
| ~ spl0_117
| spl0_123 ),
inference(sat_conversion,[],[f1595]) ).
cnf(s231,plain,
( ~ spl0_52
| ~ spl0_123 ),
inference(sat_conversion,[],[f3348]) ).
cnf(s237,plain,
~ spl0_123,
inference(rat,[],[s231,s119]) ).
cnf(s246,plain,
spl0_117,
inference(rat,[],[s59,s105]) ).
cnf(s247,plain,
spl0_110,
inference(rat,[],[s56,s88]) ).
cnf(s248,plain,
~ spl0_109,
inference(rat,[],[s157,s237,s246,s247]) ).
cnf(s250,plain,
$false,
inference(rat,[],[s55,s248,s104]) ).
fof(f3349,plain,
$false,
inference(avatar_sat_refutation,[],[s250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN203-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.31 % Computer : n020.cluster.edu
% 0.28/0.31 % Model : x86_64 x86_64
% 0.28/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.31 % Memory : 8046.5625MB
% 0.28/0.31 % OS : Linux 6.8.0-71-generic
% 0.28/0.31 % CPULimit : 300
% 0.28/0.31 % WCLimit : 300
% 0.28/0.31 % DateTime : Mon Sep 28 15:39:20 UTC 2026
% 0.28/0.31 % CPUTime :
% 0.28/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.37 Running first-order theorem proving
% 0.28/0.37 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.93/1.49 % (253855)Input is clausal, will run a generic CNF schedule.
% 3.93/1.49 % (253952)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4000000503:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.93/1.49 % (253951)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2275721202:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.93/1.49 % (253949)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=10753226:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.93/1.49 % (253954)lrs+10_1_sil=8000:sp=occurrence:random_seed=3096071143:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.93/1.49 % (253957)dis-21_1_sil=8000:lcm=predicate:random_seed=4170227052: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)
% 3.93/1.49 % (253955)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2482991228:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.93/1.49 % (253956)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2829235341:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.93/1.49 % (253954)First to succeed.
% 3.93/1.49 % (253954)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-253855"
% 3.93/1.49 % (253955)Also succeeded, but the first one will report.
% 3.93/1.49 % (253956)Also succeeded, but the first one will report.
% 3.93/1.49 % (253957)Instruction limit reached!
% 3.93/1.49 % (253957)------------------------------
% 3.93/1.49 % (253957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (253957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (253957)CaDiCaL version: 2.1.3
% 3.93/1.49 % (253957)Termination reason: Instruction limit
% 3.93/1.49 % (253957)Termination phase: Saturation
% 3.93/1.49 % (253957)Time elapsed: 0.056 s
% 3.93/1.49 % (253957)Peak memory usage: 89 MB
% 3.93/1.49 % (253957)Instructions burned: 118 (million)
% 3.93/1.49 % (254026)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=3871457213:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.93/1.49 % (254026)Refutation not found, incomplete strategy
% 3.93/1.49 % (254026)------------------------------
% 3.93/1.49 % (254026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (254026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (254026)CaDiCaL version: 2.1.3
% 3.93/1.49 % (254026)Termination reason: Refutation not found, incomplete strategy
% 3.93/1.49 % (254026)Time elapsed: 0.001 s
% 3.93/1.49 % (254026)Peak memory usage: 87 MB
% 3.93/1.49 % (254026)Instructions burned: 1 (million)
% 3.93/1.49 % (253954)Refutation found. Thanks to Tanya!
% 3.93/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.93/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.93/1.49 % (253954)------------------------------
% 3.93/1.49 % (253954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (253954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (253954)CaDiCaL version: 2.1.3
% 3.93/1.49 % (253954)Termination reason: Refutation
% 3.93/1.49 % (253954)Time elapsed: 0.035 s
% 3.93/1.49 % (253954)Peak memory usage: 90 MB
% 3.93/1.49 % (253954)Instructions burned: 51 (million)
% 3.93/1.49 % (253954)------------------------------
% 3.93/1.49 % (253954)------------------------------
% 3.93/1.49 % (253855)Success in time 0.46 s
% 3.93/1.49 % Vampire exiting
%------------------------------------------------------------------------------