%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN122-1 : 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 : 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 02:06:49 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.28s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 65 ( 20 unt; 8 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 145 ( 75 ~; 62 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
fof(f163,axiom,
! [X0] :
( s1(X0)
| ~ p0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f169,axiom,
! [X0,X1] :
( l2(X0,X1)
| ~ s1(X0)
| ~ n0(e,X1)
| ~ l2(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',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/Axioms/SYN001-0.ax',rule_133) ).
fof(f369,negated_conjecture,
~ l2(b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f374,plain,
! [X0,X1] : ~ m0(X0,d,X1),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f477,plain,
! [X0,X1] :
( l2(X1,X1)
| ~ s1(X0)
| ~ n0(e,X1)
| ~ l2(X0,X1) ),
inference(consistent_polarity_flipping,[],[f169]) ).
fof(f479,plain,
! [X2,X3,X0,X1] :
( ~ l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| m0(X3,X2,X0) ),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f649,plain,
l2(b,e),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f875,definition,
( spl0_58
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f876,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f1136,definition,
( spl0_123
<=> s1(d) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f1138,plain,
( ~ s1(d)
| spl0_123 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1154,definition,
( spl0_127
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f1156,plain,
( ~ s1(b)
| spl0_127 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1401,definition,
( spl0_189
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
fof(f1402,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f1404,definition,
( spl0_190
<=> ! [X2,X0,X3] :
( ~ l2(X0,X0)
| ~ s1(X2)
| m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
fof(f1405,plain,
( ! [X2,X3,X0] :
( m0(X3,X2,X0)
| ~ s1(X2)
| ~ l2(X0,X0) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1406,plain,
( spl0_189
| spl0_190 ),
inference(avatar_split_clause,[],[f479,f1404,f1401]) ).
fof(f1417,definition,
( spl0_193
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
fof(f1418,plain,
( ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f1419,plain,
( spl0_58
| spl0_193 ),
inference(avatar_split_clause,[],[f164,f1417,f875]) ).
fof(f1804,plain,
( $false
| ~ spl0_189 ),
inference(resolution,[],[f1402,f14]) ).
fof(f1805,plain,
~ spl0_189,
inference(avatar_contradiction_clause,[],[f1804]) ).
fof(f1849,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_58 ),
inference(resolution,[],[f163,f876]) ).
fof(f1850,plain,
( spl0_189
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1849,f875,f1401]) ).
fof(f1853,plain,
( ~ p0(b,b)
| spl0_127 ),
inference(resolution,[],[f1156,f163]) ).
fof(f1855,plain,
( $false
| spl0_127 ),
inference(resolution,[],[f1853,f14]) ).
fof(f1856,plain,
spl0_127,
inference(avatar_contradiction_clause,[],[f1855]) ).
fof(f1959,plain,
( ! [X0] : ~ q0(d,X0)
| spl0_123
| ~ spl0_193 ),
inference(resolution,[],[f1418,f1138]) ).
fof(f1962,plain,
( $false
| spl0_123
| ~ spl0_193 ),
inference(resolution,[],[f1959,f29]) ).
fof(f1967,plain,
( spl0_123
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f1962]) ).
fof(f2767,plain,
( ! [X0] :
( ~ s1(d)
| ~ l2(X0,X0) )
| ~ spl0_190 ),
inference(resolution,[],[f1405,f374]) ).
fof(f2799,definition,
( spl0_307
<=> ! [X0] : ~ l2(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
fof(f2800,plain,
( ! [X0] : ~ l2(X0,X0)
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f2799]) ).
fof(f2801,plain,
( spl0_307
| ~ spl0_123
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2767,f1404,f1136,f2799]) ).
fof(f3284,plain,
( ! [X0,X1] :
( ~ l2(X0,X1)
| ~ n0(e,X1)
| ~ s1(X0) )
| ~ spl0_307 ),
inference(resolution,[],[f477,f2800]) ).
fof(f3290,plain,
( ~ n0(e,e)
| ~ s1(b)
| ~ spl0_307 ),
inference(resolution,[],[f3284,f649]) ).
fof(f3298,definition,
( spl0_346
<=> n0(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
fof(f3300,plain,
( ~ n0(e,e)
| spl0_346 ),
inference(avatar_component_clause,[],[f3298]) ).
fof(f3301,plain,
( ~ spl0_127
| ~ spl0_346
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f3290,f2799,f3298,f1154]) ).
fof(f3308,plain,
( $false
| spl0_346 ),
inference(resolution,[],[f3300,f30]) ).
fof(f3309,plain,
spl0_346,
inference(avatar_contradiction_clause,[],[f3308]) ).
cnf(s86,plain,
( spl0_189
| spl0_190 ),
inference(sat_conversion,[],[f1406]) ).
cnf(s88,plain,
( spl0_58
| spl0_193 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s168,plain,
~ spl0_189,
inference(sat_conversion,[],[f1805]) ).
cnf(s188,plain,
( ~ spl0_58
| spl0_189 ),
inference(sat_conversion,[],[f1850]) ).
cnf(s189,plain,
spl0_127,
inference(sat_conversion,[],[f1856]) ).
cnf(s229,plain,
( spl0_123
| ~ spl0_193 ),
inference(sat_conversion,[],[f1967]) ).
cnf(s311,plain,
( ~ spl0_123
| ~ spl0_190
| spl0_307 ),
inference(sat_conversion,[],[f2801]) ).
cnf(s404,plain,
( ~ spl0_127
| ~ spl0_307
| ~ spl0_346 ),
inference(sat_conversion,[],[f3301]) ).
cnf(s408,plain,
spl0_346,
inference(sat_conversion,[],[f3309]) ).
cnf(s409,plain,
( ~ spl0_127
| ~ spl0_307 ),
inference(rat,[],[s404,s408]) ).
cnf(s444,plain,
~ spl0_307,
inference(rat,[],[s409,s189]) ).
cnf(s445,plain,
~ spl0_58,
inference(rat,[],[s188,s168]) ).
cnf(s524,plain,
spl0_193,
inference(rat,[],[s88,s445]) ).
cnf(s528,plain,
spl0_123,
inference(rat,[],[s229,s524]) ).
cnf(s529,plain,
~ spl0_190,
inference(rat,[],[s311,s444,s528]) ).
cnf(s532,plain,
$false,
inference(rat,[],[s86,s529,s168]) ).
fof(f3310,plain,
$false,
inference(avatar_sat_refutation,[],[s532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN122-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n005.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:35:47 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.16/0.28 % (873693)Will run a generic schedule for satisfiability detection.
% 0.16/0.28 % (873704)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3458915298:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.28 % (873699)% WARNING: option uhcvi not known.
% 0.16/0.28 % (873698)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3608954013_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.28 % (873703)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2071748019:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.28 % (873700)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1085980780:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.28 % (873699)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2592729614:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.28 % (873701)dis+10_1_sil=32000:sp=arity:random_seed=3805816839:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.28 % (873702)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=899581249:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.28 % (873704) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-873693-873704"...
% 0.16/0.28 % (873704)...printing done.
% 0.16/0.28 % (873704)Refutation found. Thanks to Tanya!
% 0.16/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.28 % (873704)------------------------------
% 0.16/0.28 % (873704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.28 % (873704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.28 % (873704)CaDiCaL version: 2.1.3
% 0.16/0.28 % (873704)Termination reason: Refutation
% 0.16/0.28 % (873704)Time elapsed: 0.023 s
% 0.16/0.28 % (873704)Peak memory usage: 14 MB
% 0.16/0.28 % (873704)Instructions burned: 55 (million)
% 0.16/0.28 % (873693)Success in time 0.057 s
% 0.16/0.28 % Vampire exiting
%------------------------------------------------------------------------------