%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN186-1 : 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 : n005.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 01:49:52 PM UTC 2026
% Result : Unsatisfiable 2.84s 1.32s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 14 unt; 5 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 33 ~; 30 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f155,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_117) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).
fof(f369,negated_conjecture,
~ r1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f530,definition,
( spl0_42
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f531,plain,
( q1(d,d,d)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f876,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1042,definition,
( spl0_170
<=> r1(a) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1044,plain,
( ~ r1(a)
| spl0_170 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1161,definition,
( spl0_199
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
fof(f1162,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1163,plain,
( ~ spl0_128
| spl0_199 ),
inference(avatar_split_clause,[],[f162,f1161,f876]) ).
fof(f1186,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1189,plain,
( ~ spl0_128
| ~ spl0_205
| spl0_42 ),
inference(avatar_split_clause,[],[f155,f530,f1186,f876]) ).
fof(f1556,plain,
spl0_205,
inference(avatar_split_clause,[],[f28,f1186]) ).
fof(f1568,plain,
spl0_128,
inference(avatar_split_clause,[],[f1,f876]) ).
fof(f1569,plain,
~ spl0_170,
inference(avatar_split_clause,[],[f369,f1042]) ).
fof(f1609,plain,
( ! [X0] :
( r1(X0)
| ~ q0(X0,d) )
| ~ spl0_42
| ~ spl0_199 ),
inference(resolution,[],[f1162,f531]) ).
fof(f1610,plain,
( ! [X0] : r1(X0)
| ~ spl0_42
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f1609,f17]) ).
fof(f1611,plain,
( $false
| ~ spl0_42
| spl0_170
| ~ spl0_199 ),
inference(resolution,[],[f1610,f1044]) ).
fof(f1616,plain,
( ~ spl0_42
| spl0_170
| ~ spl0_199 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
cnf(s92,plain,
( ~ spl0_128
| spl0_199 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s96,plain,
( spl0_42
| ~ spl0_128
| ~ spl0_205 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s156,plain,
spl0_205,
inference(sat_conversion,[],[f1556]) ).
cnf(s168,plain,
spl0_128,
inference(sat_conversion,[],[f1568]) ).
cnf(s169,plain,
~ spl0_170,
inference(sat_conversion,[],[f1569]) ).
cnf(s186,plain,
( ~ spl0_42
| spl0_170
| ~ spl0_199 ),
inference(sat_conversion,[],[f1616]) ).
cnf(s224,plain,
spl0_42,
inference(rat,[],[s96,s156,s168]) ).
cnf(s225,plain,
~ spl0_199,
inference(rat,[],[s186,s169,s224]) ).
cnf(s230,plain,
$false,
inference(rat,[],[s92,s225,s168]) ).
fof(f1617,plain,
$false,
inference(avatar_sat_refutation,[],[s230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN186-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.26 % Computer : n005.cluster.edu
% 0.13/0.26 % Model : x86_64 x86_64
% 0.13/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.26 % Memory : 8046.5625MB
% 0.13/0.26 % OS : Linux 6.8.0-71-generic
% 0.13/0.26 % CPULimit : 300
% 0.13/0.26 % WCLimit : 300
% 0.13/0.26 % DateTime : Mon Sep 28 15:37:47 UTC 2026
% 0.13/0.27 % CPUTime :
% 0.13/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.33 Running first-order theorem proving
% 0.28/0.33 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
% 2.84/1.32 % (880777)Input is clausal, will run a generic CNF schedule.
% 2.84/1.32 % (880878)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2701033476:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.84/1.32 % (880878)First to succeed.
% 2.84/1.32 % (880878)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-880777"
% 2.84/1.32 % (880873)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1533809723:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.84/1.32 % (880869)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=3046775807:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.84/1.32 % (880871)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3704578470:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.84/1.32 % (880874)lrs+10_1_sil=8000:sp=occurrence:random_seed=3197357637:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.84/1.32 % (880876)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3161856773:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.84/1.32 % (880879)dis-21_1_sil=8000:lcm=predicate:random_seed=1302015158: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)
% 2.84/1.32 % (880874)Also succeeded, but the first one will report.
% 2.84/1.32 % (880876)Also succeeded, but the first one will report.
% 2.84/1.32 % (880879)Also succeeded, but the first one will report.
% 2.84/1.32 % (880878)Refutation found. Thanks to Tanya!
% 2.84/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.84/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.84/1.32 % (880878)------------------------------
% 2.84/1.32 % (880878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.32 % (880878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.32 % (880878)CaDiCaL version: 2.1.3
% 2.84/1.32 % (880878)Termination reason: Refutation
% 2.84/1.32 % (880878)Time elapsed: 0.006 s
% 2.84/1.32 % (880878)Peak memory usage: 90 MB
% 2.84/1.32 % (880878)Instructions burned: 16 (million)
% 2.84/1.32 % (880878)------------------------------
% 2.84/1.32 % (880878)------------------------------
% 2.84/1.32 % (880777)Success in time 0.296 s
% 2.84/1.32 % Vampire exiting
%------------------------------------------------------------------------------