%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN186-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 02:06:58 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.27s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 15 unt; 4 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 26 ~; 25 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f369,negated_conjecture,
~ r1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f370,plain,
~ s0(d),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f376,plain,
! [X0] : ~ q0(X0,d),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f469,plain,
! [X0,X1] :
( r1(X0)
| q0(X0,X1)
| s0(d)
| ~ q1(d,X1,d) ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f1159,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1325,definition,
( spl0_170
<=> r1(a) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1327,plain,
( ~ r1(a)
| spl0_170 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1444,definition,
( spl0_199
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
fof(f1445,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| q0(X0,X1) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1446,plain,
( spl0_128
| spl0_199 ),
inference(avatar_split_clause,[],[f469,f1444,f1159]) ).
fof(f1851,plain,
~ spl0_128,
inference(avatar_split_clause,[],[f370,f1159]) ).
fof(f1852,plain,
~ spl0_170,
inference(avatar_split_clause,[],[f369,f1325]) ).
fof(f2202,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[],[f148,f19]) ).
fof(f2448,plain,
( ! [X0] :
( r1(X0)
| q0(X0,d) )
| ~ spl0_199 ),
inference(resolution,[],[f1445,f2202]) ).
fof(f2459,plain,
( ! [X0] : r1(X0)
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f2448,f376]) ).
fof(f2467,definition,
( spl0_301
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
fof(f2468,plain,
( ! [X0] : r1(X0)
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f2467]) ).
fof(f2472,plain,
( spl0_301
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2459,f1444,f2467]) ).
fof(f2476,plain,
( $false
| spl0_170
| ~ spl0_301 ),
inference(backward_subsumption_resolution,[],[f1327,f2468]) ).
fof(f2480,plain,
( spl0_170
| ~ spl0_301 ),
inference(avatar_contradiction_clause,[],[f2476]) ).
cnf(s92,plain,
( spl0_128
| spl0_199 ),
inference(sat_conversion,[],[f1446]) ).
cnf(s168,plain,
~ spl0_128,
inference(sat_conversion,[],[f1851]) ).
cnf(s169,plain,
~ spl0_170,
inference(sat_conversion,[],[f1852]) ).
cnf(s319,plain,
( ~ spl0_199
| spl0_301 ),
inference(sat_conversion,[],[f2472]) ).
cnf(s324,plain,
( spl0_170
| ~ spl0_301 ),
inference(sat_conversion,[],[f2480]) ).
cnf(s329,plain,
~ spl0_301,
inference(rat,[],[s324,s169]) ).
cnf(s330,plain,
~ spl0_199,
inference(rat,[],[s319,s329]) ).
cnf(s399,plain,
$false,
inference(rat,[],[s92,s330,s168]) ).
fof(f2483,plain,
$false,
inference(avatar_sat_refutation,[],[s399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN186-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.18 % Computer : n014.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 15:37:45 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.21 Running first-order model finding
% 0.12/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.27 % (1861211)Will run a generic schedule for satisfiability detection.
% 0.12/0.27 % (1861217)% WARNING: option uhcvi not known.
% 0.12/0.27 % (1861217)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2765663584:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.27 % (1861218)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4112075799:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.27 % (1861216)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1573255589_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.27 % (1861219)dis+10_1_sil=32000:sp=arity:random_seed=1729006777:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.27 % (1861220)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=843113672:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.27 % (1861221)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1644283517:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.27 % (1861222)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=255381425:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.27 % (1861217) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1861211-1861217"...
% 0.12/0.27 % (1861217)...printing done.
% 0.12/0.27 % (1861217)Refutation found. Thanks to Tanya!
% 0.12/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.27 % (1861217)------------------------------
% 0.12/0.27 % (1861217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.27 % (1861217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.27 % (1861217)CaDiCaL version: 2.1.3
% 0.12/0.27 % (1861217)Termination reason: Refutation
% 0.12/0.27 % (1861217)Time elapsed: 0.013 s
% 0.12/0.27 % (1861217)Peak memory usage: 13 MB
% 0.12/0.27 % (1861217)Instructions burned: 31 (million)
% 0.12/0.27 % (1861211)Success in time 0.052 s
% 0.12/0.27 % Vampire exiting
%------------------------------------------------------------------------------