%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN192-1 : 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 : n007.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 01:49:53 PM UTC 2026
% Result : Unsatisfiable 3.65s 1.34s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 15 unt; 3 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 39 ~; 32 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f44,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_006) ).
fof(f104,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_066) ).
fof(f188,axiom,
! [X0,X1] :
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ q2(X2,X0,X1)
| q3(X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
fof(f336,axiom,
! [X2,X3,X0,X1] :
( r4(X0)
| ~ n3(X0)
| ~ q3(X1,X2)
| ~ p0(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).
fof(f369,negated_conjecture,
~ r4(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f540,definition,
( spl0_43
<=> ! [X0] : p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f541,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f695,definition,
( spl0_82
<=> ! [X2,X1] : ~ q3(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f696,plain,
( ! [X2,X1] : ~ q3(X1,X2)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f778,definition,
( spl0_103
<=> ! [X0,X3] :
( r4(X0)
| ~ p0(X3,X0)
| ~ n3(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f779,plain,
( ! [X3,X0] :
( r4(X0)
| ~ p0(X3,X0)
| ~ n3(X0) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f780,plain,
( spl0_82
| spl0_103 ),
inference(avatar_split_clause,[],[f336,f778,f695]) ).
fof(f886,plain,
p1(e,e,e),
inference(resolution,[],[f104,f30]) ).
fof(f926,plain,
! [X0] : m1(X0,X0,X0),
inference(resolution,[],[f44,f19]) ).
fof(f962,plain,
! [X0] : p2(X0,X0,X0),
inference(resolution,[],[f926,f188]) ).
fof(f963,plain,
spl0_43,
inference(avatar_split_clause,[],[f962,f540]) ).
fof(f964,plain,
( ! [X0] : n3(X0)
| ~ spl0_43 ),
inference(resolution,[],[f541,f278]) ).
fof(f982,plain,
q2(e,e,e),
inference(resolution,[],[f219,f886]) ).
fof(f1247,plain,
( q3(e,e)
| ~ n0(e,e) ),
inference(resolution,[],[f293,f982]) ).
fof(f1252,plain,
( ~ n0(e,e)
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f1247,f696]) ).
fof(f1256,plain,
( $false
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f1252,f30]) ).
fof(f1257,plain,
~ spl0_82,
inference(avatar_contradiction_clause,[],[f1256]) ).
fof(f1286,plain,
( ! [X3,X0] :
( ~ p0(X3,X0)
| r4(X0) )
| ~ spl0_43
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f779,f964]) ).
fof(f1289,plain,
( ! [X0] : r4(X0)
| ~ spl0_43
| ~ spl0_103 ),
inference(resolution,[],[f1286,f14]) ).
fof(f1297,plain,
( $false
| ~ spl0_43
| ~ spl0_103 ),
inference(resolution,[],[f1289,f369]) ).
fof(f1298,plain,
( ~ spl0_43
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f1297]) ).
cnf(s47,plain,
( spl0_82
| spl0_103 ),
inference(sat_conversion,[],[f780]) ).
cnf(s78,plain,
spl0_43,
inference(sat_conversion,[],[f963]) ).
cnf(s107,plain,
~ spl0_82,
inference(sat_conversion,[],[f1257]) ).
cnf(s113,plain,
( ~ spl0_43
| ~ spl0_103 ),
inference(sat_conversion,[],[f1298]) ).
cnf(s114,plain,
~ spl0_103,
inference(rat,[],[s113,s78]) ).
cnf(s125,plain,
$false,
inference(rat,[],[s47,s114,s107]) ).
fof(f1299,plain,
$false,
inference(avatar_sat_refutation,[],[s125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN192-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.25 % Computer : n007.cluster.edu
% 0.13/0.25 % Model : x86_64 x86_64
% 0.13/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.25 % Memory : 8046.5625MB
% 0.13/0.25 % OS : Linux 6.8.0-71-generic
% 0.13/0.25 % CPULimit : 300
% 0.13/0.25 % WCLimit : 300
% 0.13/0.25 % DateTime : Mon Sep 28 15:36:11 UTC 2026
% 0.13/0.25 % CPUTime :
% 0.13/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.29 Running first-order theorem proving
% 0.13/0.29 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
% 3.65/1.34 % (2501162)Input is clausal, will run a generic CNF schedule.
% 3.65/1.34 % (2501290)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1982568382:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.65/1.34 % (2501294)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3918313464:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.65/1.34 % (2501286)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=622446749:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.65/1.34 % (2501288)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=545429753:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.65/1.34 % (2501292)lrs+10_1_sil=8000:sp=occurrence:random_seed=794341925:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.65/1.34 % (2501292)First to succeed.
% 3.65/1.34 % (2501296)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=696694850:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.65/1.34 % (2501298)dis-21_1_sil=8000:lcm=predicate:random_seed=1425861477: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)
% 3.65/1.34 % (2501292)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2501162"
% 3.65/1.34 % (2501294)Also succeeded, but the first one will report.
% 3.65/1.34 % (2501298)Also succeeded, but the first one will report.
% 3.65/1.34 % (2501296)Also succeeded, but the first one will report.
% 3.65/1.34 % (2501292)Refutation found. Thanks to Tanya!
% 3.65/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.65/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.34 % (2501292)------------------------------
% 3.65/1.34 % (2501292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.34 % (2501292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.34 % (2501292)CaDiCaL version: 2.1.3
% 3.65/1.34 % (2501292)Termination reason: Refutation
% 3.65/1.34 % (2501292)Time elapsed: 0.012 s
% 3.65/1.34 % (2501292)Peak memory usage: 89 MB
% 3.65/1.34 % (2501292)Instructions burned: 15 (million)
% 3.65/1.34 % (2501292)------------------------------
% 3.65/1.34 % (2501292)------------------------------
% 3.65/1.34 % (2501162)Success in time 0.417 s
% 3.65/1.34 % Vampire exiting
%------------------------------------------------------------------------------