%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN219-1 : 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 : n016.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 01:49:56 PM UTC 2026
% Result : Unsatisfiable 4.13s 1.39s
% Output : Refutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 18 unt; 7 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 159 ( 79 ~; 73 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
q0(e,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,axiom,
n0(e,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
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(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
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(f169,axiom,
! [X0,X1] :
( ~ l2(X1,X1)
| ~ s1(X0)
| ~ n0(e,X1)
| l2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_131) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).
fof(f369,negated_conjecture,
~ l2(e,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f602,definition,
( spl0_60
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f603,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f822,definition,
( spl0_115
<=> l2(e,b) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f824,plain,
( ~ l2(e,b)
| spl0_115 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f867,definition,
( spl0_126
<=> s1(d) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f868,plain,
( s1(d)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f869,plain,
( ~ s1(d)
| spl0_126 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f1141,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1144,definition,
( spl0_195
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
fof(f1145,plain,
( ! [X2,X3,X0] :
( ~ s1(X2)
| l2(X0,X0)
| ~ m0(X3,X2,X0) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1146,plain,
( spl0_194
| spl0_195 ),
inference(avatar_split_clause,[],[f171,f1144,f1141]) ).
fof(f1157,definition,
( spl0_198
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1158,plain,
( ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1159,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f164,f1157,f602]) ).
fof(f1336,definition,
( spl0_241
<=> n0(e,b) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
fof(f1337,plain,
( n0(e,b)
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1563,plain,
spl0_241,
inference(avatar_split_clause,[],[f11,f1336]) ).
fof(f1569,plain,
~ spl0_115,
inference(avatar_split_clause,[],[f369,f822]) ).
fof(f1578,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f14,f1142]) ).
fof(f1579,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1695,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f163,f603]) ).
fof(f1696,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1695,f602,f1141]) ).
fof(f1727,plain,
( ! [X0] : ~ q0(d,X0)
| spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1158,f869]) ).
fof(f1730,plain,
( $false
| spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1727,f29]) ).
fof(f1735,plain,
( spl0_126
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f1730]) ).
fof(f1736,plain,
( ! [X0,X1] :
( l2(X0,X0)
| ~ m0(X1,d,X0) )
| ~ spl0_126
| ~ spl0_195 ),
inference(resolution,[],[f868,f1145]) ).
fof(f1745,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_126
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f1736,f19]) ).
fof(f1784,plain,
( ! [X0,X1] :
( ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) )
| ~ spl0_126
| ~ spl0_195 ),
inference(resolution,[],[f1745,f169]) ).
fof(f2131,plain,
( ! [X0] :
( ~ s1(X0)
| l2(X0,b) )
| ~ spl0_126
| ~ spl0_195
| ~ spl0_241 ),
inference(resolution,[],[f1784,f1337]) ).
fof(f2188,plain,
( ! [X0,X1] :
( l2(X0,b)
| ~ q0(X0,X1) )
| ~ spl0_126
| ~ spl0_195
| ~ spl0_198
| ~ spl0_241 ),
inference(resolution,[],[f2131,f1158]) ).
fof(f2258,plain,
( ! [X0] : ~ q0(e,X0)
| spl0_115
| ~ spl0_126
| ~ spl0_195
| ~ spl0_198
| ~ spl0_241 ),
inference(resolution,[],[f2188,f824]) ).
fof(f2263,plain,
( $false
| spl0_115
| ~ spl0_126
| ~ spl0_195
| ~ spl0_198
| ~ spl0_241 ),
inference(resolution,[],[f2258,f2]) ).
fof(f2266,plain,
( spl0_115
| ~ spl0_126
| ~ spl0_195
| ~ spl0_198
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f2263]) ).
cnf(s89,plain,
( spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s163,plain,
spl0_241,
inference(sat_conversion,[],[f1563]) ).
cnf(s169,plain,
~ spl0_115,
inference(sat_conversion,[],[f1569]) ).
cnf(s174,plain,
~ spl0_194,
inference(sat_conversion,[],[f1579]) ).
cnf(s209,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1696]) ).
cnf(s219,plain,
( spl0_126
| ~ spl0_198 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s326,plain,
( spl0_115
| ~ spl0_126
| ~ spl0_195
| ~ spl0_198
| ~ spl0_241 ),
inference(sat_conversion,[],[f2266]) ).
cnf(s331,plain,
~ spl0_60,
inference(rat,[],[s209,s174]) ).
cnf(s394,plain,
spl0_198,
inference(rat,[],[s91,s331]) ).
cnf(s397,plain,
spl0_126,
inference(rat,[],[s219,s394]) ).
cnf(s398,plain,
~ spl0_195,
inference(rat,[],[s326,s163,s394,s169,s397]) ).
cnf(s401,plain,
$false,
inference(rat,[],[s89,s398,s174]) ).
fof(f2267,plain,
$false,
inference(avatar_sat_refutation,[],[s401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN219-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n016.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:43:33 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 4.13/1.39 % (3719243)Input is clausal, will run a generic CNF schedule.
% 4.13/1.39 % (3719352)lrs+10_1_sil=8000:sp=occurrence:random_seed=3947792497:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.13/1.39 % (3719352)Refutation not found, incomplete strategy
% 4.13/1.39 % (3719352)------------------------------
% 4.13/1.39 % (3719352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.39 % (3719352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.39 % (3719352)CaDiCaL version: 2.1.3
% 4.13/1.39 % (3719352)Termination reason: Refutation not found, incomplete strategy
% 4.13/1.39 % (3719352)Time elapsed: 0.035 s
% 4.13/1.39 % (3719352)Peak memory usage: 90 MB
% 4.13/1.39 % (3719352)Instructions burned: 98 (million)
% 4.13/1.39 % (3719350)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1149850374:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.13/1.39 % (3719349)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=686322325:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.13/1.39 % (3719351)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2279481579:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.13/1.39 % (3719355)dis-21_1_sil=8000:lcm=predicate:random_seed=3250198544: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)
% 4.13/1.39 % (3719354)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2958237502:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.13/1.39 % (3719354)First to succeed.
% 4.13/1.39 % (3719354)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3719243"
% 4.13/1.39 % (3719353)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2502735207:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.13/1.39 % (3719355)Instruction limit reached!
% 4.13/1.39 % (3719355)------------------------------
% 4.13/1.39 % (3719355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.39 % (3719355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.39 % (3719355)CaDiCaL version: 2.1.3
% 4.13/1.39 % (3719355)Termination reason: Instruction limit
% 4.13/1.39 % (3719355)Termination phase: Saturation
% 4.13/1.39 % (3719355)Time elapsed: 0.056 s
% 4.13/1.39 % (3719355)Peak memory usage: 89 MB
% 4.13/1.39 % (3719355)Instructions burned: 118 (million)
% 4.13/1.39 % (3719353)Also succeeded, but the first one will report.
% 4.13/1.39 % (3719352)------------------------------
% 4.13/1.39 % (3719352)------------------------------
% 4.13/1.39 % (3719363)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=2433635489:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.13/1.39 % (3719363)Refutation not found, incomplete strategy
% 4.13/1.39 % (3719363)------------------------------
% 4.13/1.39 % (3719363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.39 % (3719363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.39 % (3719363)CaDiCaL version: 2.1.3
% 4.13/1.39 % (3719363)Termination reason: Refutation not found, incomplete strategy
% 4.13/1.39 % (3719363)Time elapsed: 0.003 s
% 4.13/1.39 % (3719363)Peak memory usage: 87 MB
% 4.13/1.39 % (3719363)Instructions burned: 2 (million)
% 4.13/1.39 % (3719364)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=627457861:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 4.13/1.39 % (3719364)Refutation not found, incomplete strategy
% 4.13/1.39 % (3719364)------------------------------
% 4.13/1.39 % (3719364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.39 % (3719364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.39 % (3719364)CaDiCaL version: 2.1.3
% 4.13/1.39 % (3719364)Termination reason: Refutation not found, incomplete strategy
% 4.13/1.39 % (3719364)Time elapsed: 0.011 s
% 4.13/1.39 % (3719364)Peak memory usage: 88 MB
% 4.13/1.39 % (3719364)Instructions burned: 24 (million)
% 4.13/1.39 % (3719354)Refutation found. Thanks to Tanya!
% 4.13/1.39 % SZS status Unsatisfiable for theBenchmark
% 4.13/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 4.13/1.39 % (3719354)------------------------------
% 4.13/1.39 % (3719354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.39 % (3719354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.39 % (3719354)CaDiCaL version: 2.1.3
% 4.13/1.39 % (3719354)Termination reason: Refutation
% 4.13/1.39 % (3719354)Time elapsed: 0.026 s
% 4.13/1.39 % (3719354)Peak memory usage: 90 MB
% 4.13/1.39 % (3719354)Instructions burned: 39 (million)
% 4.13/1.39 % (3719354)------------------------------
% 4.13/1.39 % (3719354)------------------------------
% 4.13/1.39 % (3719243)Success in time 0.509 s
% 4.13/1.39 % Vampire exiting
%------------------------------------------------------------------------------