%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN206-1 : 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 : n011.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 02:07:01 PM UTC 2026
% Result : Unsatisfiable 0.31s 0.41s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 16 unt; 3 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 75 ( 38 ~; 34 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f163,axiom,
! [X0] :
( s1(X0)
| ~ p0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( s3(X0,X1)
| ~ q2(X2,X0,X2)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f369,negated_conjecture,
~ s3(b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f376,plain,
! [X0] : ~ p0(b,X0),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f379,plain,
! [X0,X1] : ~ m0(X0,d,X1),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f494,plain,
! [X0] :
( p0(X0,X0)
| ~ s1(X0) ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f553,plain,
! [X0,X1] :
( ~ q2(X0,X0,X1)
| ~ l1(X1,X0) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f556,plain,
! [X0] :
( ~ s2(X0)
| q2(b,X0,b)
| s1(b) ),
inference(consistent_polarity_flipping,[],[f227]) ).
fof(f631,plain,
! [X2,X3,X0,X1] :
( ~ s3(X0,X1)
| q2(X2,X0,X2)
| s2(X0)
| m0(X2,X3,X1) ),
inference(consistent_polarity_flipping,[],[f311]) ).
fof(f672,plain,
s3(b,b),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f1188,definition,
( spl0_130
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1192,definition,
( spl0_131
<=> ! [X0] :
( ~ s2(X0)
| q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f1193,plain,
( ! [X0] :
( q2(b,X0,b)
| ~ s2(X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1194,plain,
( spl0_130
| spl0_131 ),
inference(avatar_split_clause,[],[f556,f1192,f1188]) ).
fof(f1593,definition,
( spl0_230
<=> ! [X1] : m0(b,X1,b) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
fof(f1594,plain,
( ! [X1] : m0(b,X1,b)
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f1900,plain,
( $false
| ~ spl0_230 ),
inference(resolution,[],[f1594,f379]) ).
fof(f1901,plain,
~ spl0_230,
inference(avatar_contradiction_clause,[],[f1900]) ).
fof(f1955,plain,
~ s1(b),
inference(resolution,[],[f494,f376]) ).
fof(f1958,plain,
~ spl0_130,
inference(avatar_split_clause,[],[f1955,f1188]) ).
fof(f2001,plain,
l1(b,b),
inference(resolution,[],[f40,f7]) ).
fof(f2101,plain,
( ~ l1(b,b)
| ~ s2(b)
| ~ spl0_131 ),
inference(resolution,[],[f553,f1193]) ).
fof(f2102,plain,
( ~ s2(b)
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f2101,f2001]) ).
fof(f2967,plain,
! [X0,X1] :
( q2(X0,b,X0)
| s2(b)
| m0(X0,X1,b) ),
inference(resolution,[],[f631,f672]) ).
fof(f2968,plain,
( ! [X0,X1] :
( q2(X0,b,X0)
| m0(X0,X1,b) )
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f2967,f2102]) ).
fof(f2976,plain,
( ! [X0] :
( m0(b,X0,b)
| ~ l1(b,b) )
| ~ spl0_131 ),
inference(resolution,[],[f2968,f553]) ).
fof(f3002,plain,
( ! [X0] : m0(b,X0,b)
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f2976,f2001]) ).
fof(f3005,plain,
( spl0_230
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3002,f1192,f1593]) ).
cnf(s60,plain,
( spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f1194]) ).
cnf(s183,plain,
~ spl0_230,
inference(sat_conversion,[],[f1901]) ).
cnf(s211,plain,
~ spl0_130,
inference(sat_conversion,[],[f1958]) ).
cnf(s383,plain,
( ~ spl0_131
| spl0_230 ),
inference(sat_conversion,[],[f3005]) ).
cnf(s389,plain,
~ spl0_131,
inference(rat,[],[s383,s183]) ).
cnf(s509,plain,
$false,
inference(rat,[],[s60,s389,s211]) ).
fof(f3006,plain,
$false,
inference(avatar_sat_refutation,[],[s509]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN206-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.29 % Computer : n011.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Mon Sep 28 15:38:31 UTC 2026
% 0.29/0.29 % CPUTime :
% 0.29/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.29/0.32 Running first-order model finding
% 0.29/0.32 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
% 0.31/0.41 % (3479287)Will run a generic schedule for satisfiability detection.
% 0.31/0.41 % (3479293)% WARNING: option uhcvi not known.
% 0.31/0.41 % (3479296)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4235597467:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.31/0.41 % (3479295)dis+10_1_sil=32000:sp=arity:random_seed=1856734347:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.31/0.41 % (3479293)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3257707921:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.31/0.41 % (3479292)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1646708892_2999 on theBenchmark for (2999ds/0Mi)
% 0.31/0.41 % (3479294)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1387382164:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.31/0.41 % (3479297)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4205166558:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.31/0.41 % (3479298)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1524238924:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.31/0.41 % Detected minimum model sizes of [1]
% 0.31/0.41 % Detected maximum model sizes of [5]
% 0.31/0.41 % TRYING [1]
% 0.31/0.41 % TRYING [2]
% 0.31/0.41 % TRYING [3]
% 0.31/0.41 % (3479293) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3479287-3479293"...
% 0.31/0.41 % (3479294) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3479287-3479294"...
% 0.31/0.41 % (3479293)...printing done.
% 0.31/0.41 % (3479293)Refutation found. Thanks to Tanya!
% 0.31/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.31/0.41 % (3479293)------------------------------
% 0.31/0.41 % (3479293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.41 % (3479293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.41 % (3479293)CaDiCaL version: 2.1.3
% 0.31/0.41 % (3479293)Termination reason: Refutation
% 0.31/0.41 % (3479293)Time elapsed: 0.032 s
% 0.31/0.41 % (3479293)Peak memory usage: 13 MB
% 0.31/0.41 % (3479293)Instructions burned: 46 (million)
% 0.31/0.41 % (3479287)Success in time 0.081 s
% 0.31/0.41 % Vampire exiting
%------------------------------------------------------------------------------