%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN115-1 : 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 : n013.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 01:49:42 PM UTC 2026
% Result : Unsatisfiable 3.56s 1.18s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 57 ( 20 unt; 6 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 106 ( 52 ~; 48 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 7 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( l1(X0,X1)
| ~ p0(X2,X0)
| ~ r0(X3)
| ~ m0(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
fof(f197,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_159) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ q2(X2,X0,X1)
| q3(X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
fof(f312,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_274) ).
fof(f369,negated_conjecture,
~ k4(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f869,definition,
( spl0_144
<=> ! [X0] : ~ r0(X0) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f870,plain,
( ! [X0] : ~ r0(X0)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f1148,definition,
( spl0_221
<=> ! [X2,X0,X1] :
( l1(X0,X1)
| ~ m0(X1,X0,X2)
| ~ p0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
fof(f1149,plain,
( ! [X2,X0,X1] :
( ~ m0(X1,X0,X2)
| l1(X0,X1)
| ~ p0(X2,X0) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1150,plain,
( spl0_144
| spl0_221 ),
inference(avatar_split_clause,[],[f41,f1148,f869]) ).
fof(f1333,definition,
( spl0_271
<=> n3(e) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
fof(f1334,plain,
( ~ n3(e)
| spl0_271 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1336,definition,
( spl0_272
<=> q3(e,b) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
fof(f1337,plain,
( ~ q3(e,b)
| spl0_272 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1339,definition,
( spl0_273
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).
fof(f1340,plain,
( ~ n0(c,d)
| spl0_273 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f1342,definition,
( spl0_274
<=> k4(c) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
fof(f1343,plain,
( k4(c)
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1344,plain,
( ~ spl0_271
| ~ spl0_272
| ~ spl0_273
| spl0_274 ),
inference(avatar_split_clause,[],[f312,f1342,f1339,f1336,f1333]) ).
fof(f1410,plain,
( $false
| ~ spl0_144 ),
inference(resolution,[],[f870,f9]) ).
fof(f1413,plain,
~ spl0_144,
inference(avatar_contradiction_clause,[],[f1410]) ).
fof(f1475,plain,
k1(e),
inference(resolution,[],[f39,f3]) ).
fof(f1592,plain,
! [X0] :
( n3(X0)
| ~ k1(X0) ),
inference(resolution,[],[f278,f197]) ).
fof(f1594,plain,
( ~ k1(e)
| spl0_271 ),
inference(resolution,[],[f1592,f1334]) ).
fof(f1595,plain,
( $false
| spl0_271 ),
inference(forward_subsumption_resolution,[],[f1594,f1475]) ).
fof(f1596,plain,
spl0_271,
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f2286,plain,
! [X0,X1] :
( q3(X0,X1)
| ~ n0(X0,X0)
| ~ l1(X1,X0) ),
inference(resolution,[],[f293,f224]) ).
fof(f2393,plain,
( l1(b,e)
| ~ p0(c,b)
| ~ spl0_221 ),
inference(resolution,[],[f1149,f27]) ).
fof(f2437,plain,
( l1(b,e)
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f2393,f18]) ).
fof(f2528,plain,
( ~ n0(e,e)
| ~ l1(b,e)
| spl0_272 ),
inference(resolution,[],[f2286,f1337]) ).
fof(f2529,plain,
( ~ l1(b,e)
| spl0_272 ),
inference(forward_subsumption_resolution,[],[f2528,f30]) ).
fof(f2530,plain,
( $false
| ~ spl0_221
| spl0_272 ),
inference(forward_subsumption_resolution,[],[f2529,f2437]) ).
fof(f2531,plain,
( ~ spl0_221
| spl0_272 ),
inference(avatar_contradiction_clause,[],[f2530]) ).
fof(f2532,plain,
( $false
| spl0_273 ),
inference(forward_subsumption_resolution,[],[f1340,f34]) ).
fof(f2533,plain,
spl0_273,
inference(avatar_contradiction_clause,[],[f2532]) ).
fof(f2534,plain,
( $false
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f1343,f369]) ).
fof(f2535,plain,
~ spl0_274,
inference(avatar_contradiction_clause,[],[f2534]) ).
cnf(s113,plain,
( spl0_144
| spl0_221 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s147,plain,
( ~ spl0_271
| ~ spl0_272
| ~ spl0_273
| spl0_274 ),
inference(sat_conversion,[],[f1344]) ).
cnf(s165,plain,
~ spl0_144,
inference(sat_conversion,[],[f1413]) ).
cnf(s234,plain,
spl0_271,
inference(sat_conversion,[],[f1596]) ).
cnf(s355,plain,
( ~ spl0_221
| spl0_272 ),
inference(sat_conversion,[],[f2531]) ).
cnf(s356,plain,
spl0_273,
inference(sat_conversion,[],[f2533]) ).
cnf(s357,plain,
~ spl0_274,
inference(sat_conversion,[],[f2535]) ).
cnf(s364,plain,
~ spl0_272,
inference(rat,[],[s147,s357,s356,s234]) ).
cnf(s365,plain,
~ spl0_221,
inference(rat,[],[s355,s364]) ).
cnf(s397,plain,
$false,
inference(rat,[],[s113,s365,s165]) ).
fof(f2536,plain,
$false,
inference(avatar_sat_refutation,[],[s397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN115-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n013.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:34:07 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.56/1.18 % (1275541)Input is clausal, will run a generic CNF schedule.
% 3.56/1.18 % (1275547)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3179953012:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.18 % (1275551)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1985389224:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.18 % (1275548)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=157632703:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.18 % (1275549)lrs+10_1_sil=8000:sp=occurrence:random_seed=2588356209:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.18 % (1275546)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=2354047599:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.18 % (1275550)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=876168196:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.18 % (1275552)dis-21_1_sil=8000:lcm=predicate:random_seed=414684810: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)
% 3.56/1.18 % (1275550)First to succeed.
% 3.56/1.18 % (1275550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1275541"
% 3.56/1.18 % (1275551)Also succeeded, but the first one will report.
% 3.56/1.18 % (1275549)Refutation not found, incomplete strategy
% 3.56/1.18 % (1275549)------------------------------
% 3.56/1.18 % (1275549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.18 % (1275549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.18 % (1275549)CaDiCaL version: 2.1.3
% 3.56/1.18 % (1275549)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.18 % (1275549)Time elapsed: 0.066 s
% 3.56/1.18 % (1275549)Peak memory usage: 90 MB
% 3.56/1.18 % (1275549)Instructions burned: 102 (million)
% 3.56/1.18 % (1275552)Instruction limit reached!
% 3.56/1.18 % (1275552)------------------------------
% 3.56/1.18 % (1275552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.18 % (1275552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.18 % (1275552)CaDiCaL version: 2.1.3
% 3.56/1.18 % (1275552)Termination reason: Instruction limit
% 3.56/1.18 % (1275552)Termination phase: Saturation
% 3.56/1.18 % (1275552)Time elapsed: 0.055 s
% 3.56/1.18 % (1275552)Peak memory usage: 89 MB
% 3.56/1.18 % (1275552)Instructions burned: 120 (million)
% 3.56/1.18 % (1275560)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=3565146646:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.56/1.18 % (1275560)Refutation not found, incomplete strategy
% 3.56/1.18 % (1275560)------------------------------
% 3.56/1.18 % (1275560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.18 % (1275560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.18 % (1275560)CaDiCaL version: 2.1.3
% 3.56/1.18 % (1275560)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.18 % (1275560)Time elapsed: 0.002 s
% 3.56/1.18 % (1275560)Peak memory usage: 87 MB
% 3.56/1.18 % (1275560)Instructions burned: 2 (million)
% 3.56/1.18 % (1275550)Refutation found. Thanks to Tanya!
% 3.56/1.18 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.18 % (1275550)------------------------------
% 3.56/1.18 % (1275550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.18 % (1275550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.18 % (1275550)CaDiCaL version: 2.1.3
% 3.56/1.18 % (1275550)Termination reason: Refutation
% 3.56/1.18 % (1275550)Time elapsed: 0.026 s
% 3.56/1.18 % (1275550)Peak memory usage: 90 MB
% 3.56/1.18 % (1275550)Instructions burned: 39 (million)
% 3.56/1.18 % (1275550)------------------------------
% 3.56/1.18 % (1275550)------------------------------
% 3.56/1.18 % (1275541)Success in time 0.436 s
% 3.56/1.18 % Vampire exiting
%------------------------------------------------------------------------------