%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN298-1 : 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 : n004.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 01:50:07 PM UTC 2026
% Result : Unsatisfiable 2.54s 1.12s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 14 unt; 2 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 29 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 23 ( 0 sgn 23 !; 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(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
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(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
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(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
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(f1073,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1076,plain,
( $false
| spl0_116 ),
inference(forward_subsumption_resolution,[],[f1073,f850]) ).
fof(f1077,plain,
spl0_116,
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1094,plain,
l1(b,b),
inference(resolution,[],[f40,f15]) ).
fof(f1138,plain,
p1(b,b,b),
inference(resolution,[],[f104,f15]) ).
fof(f1188,plain,
( ~ l1(b,b)
| s2(b)
| ~ spl0_117 ),
inference(resolution,[],[f224,f853]) ).
fof(f1191,plain,
( s2(b)
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f1188,f1094]) ).
fof(f1321,plain,
q2(b,b,b),
inference(resolution,[],[f219,f1138]) ).
fof(f2389,plain,
! [X0,X1] :
( s3(b,X0)
| ~ s2(b)
| ~ m0(b,X1,X0) ),
inference(resolution,[],[f311,f1321]) ).
fof(f2392,plain,
( ! [X0,X1] :
( s3(b,X0)
| ~ m0(b,X1,X0) )
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f2389,f1191]) ).
fof(f2403,plain,
( ! [X0,X1] : ~ m0(b,X1,X0)
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f2392,f369]) ).
fof(f2405,plain,
( $false
| ~ spl0_117 ),
inference(resolution,[],[f2403,f31]) ).
fof(f2410,plain,
~ spl0_117,
inference(avatar_contradiction_clause,[],[f2405]) ).
cnf(s59,plain,
( ~ spl0_116
| spl0_117 ),
inference(sat_conversion,[],[f854]) ).
cnf(s105,plain,
spl0_116,
inference(sat_conversion,[],[f1077]) ).
cnf(s195,plain,
~ spl0_117,
inference(sat_conversion,[],[f2410]) ).
cnf(s203,plain,
$false,
inference(rat,[],[s59,s195,s105]) ).
fof(f2411,plain,
$false,
inference(avatar_sat_refutation,[],[s203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN298-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n004.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 15:40:22 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running first-order theorem proving
% 0.26/0.31 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
% 2.54/1.12 % (479135)Input is clausal, will run a generic CNF schedule.
% 2.54/1.12 % (479189)lrs+10_1_sil=8000:sp=occurrence:random_seed=2650871030:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.54/1.12 % (479189)First to succeed.
% 2.54/1.12 % (479189)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-479135"
% 2.54/1.12 % (479187)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3041509247:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.54/1.12 % (479192)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1851124610:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.54/1.12 % (479191)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=437955797:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.54/1.12 % (479188)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3875737322:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.54/1.12 % (479186)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=1693239584:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.54/1.12 % (479194)dis-21_1_sil=8000:lcm=predicate:random_seed=1107596406: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)
% 2.54/1.12 % (479192)Also succeeded, but the first one will report.
% 2.54/1.12 % (479191)Also succeeded, but the first one will report.
% 2.54/1.12 % (479194)Instruction limit reached!
% 2.54/1.12 % (479194)------------------------------
% 2.54/1.12 % (479194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.12 % (479194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.12 % (479194)CaDiCaL version: 2.1.3
% 2.54/1.12 % (479194)Termination reason: Instruction limit
% 2.54/1.12 % (479194)Termination phase: Saturation
% 2.54/1.12 % (479194)Time elapsed: 0.056 s
% 2.54/1.12 % (479194)Peak memory usage: 89 MB
% 2.54/1.12 % (479194)Instructions burned: 119 (million)
% 2.54/1.12 % (479189)Refutation found. Thanks to Tanya!
% 2.54/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.54/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.12 % (479189)------------------------------
% 2.54/1.12 % (479189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.12 % (479189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.12 % (479189)CaDiCaL version: 2.1.3
% 2.54/1.12 % (479189)Termination reason: Refutation
% 2.54/1.12 % (479189)Time elapsed: 0.013 s
% 2.54/1.12 % (479189)Peak memory usage: 90 MB
% 2.54/1.12 % (479189)Instructions burned: 33 (million)
% 2.54/1.12 % (479189)------------------------------
% 2.54/1.12 % (479189)------------------------------
% 2.54/1.12 % (479135)Success in time 0.277 s
% 2.54/1.12 % Vampire exiting
%------------------------------------------------------------------------------