%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN115-1 : 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 : n002.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 02:06:48 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 71 ( 25 unt; 8 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 140 ( 71 ~; 61 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 9 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( l1(X0,X1)
| ~ p0(X2,X0)
| ~ r0(X3)
| ~ m0(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).
fof(f197,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_159) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f278,axiom,
! [X2,X0,X1] :
( n3(X0)
| ~ p2(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).
fof(f293,axiom,
! [X2,X0,X1] :
( q3(X0,X1)
| ~ q2(X2,X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).
fof(f312,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_274) ).
fof(f369,negated_conjecture,
~ k4(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f374,plain,
~ r0(b),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f379,plain,
~ n0(e,e),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f380,plain,
~ n0(c,d),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f382,plain,
! [X0,X1] :
( n0(X1,X0)
| ~ k1(X0) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( l1(X0,X1)
| ~ p0(X2,X0)
| r0(X3)
| ~ m0(X1,X0,X2) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f525,plain,
! [X0] :
( k1(X0)
| ~ p2(X0,X0,X0) ),
inference(consistent_polarity_flipping,[],[f197]) ).
fof(f552,plain,
! [X0,X1] :
( ~ q2(X0,X0,X1)
| ~ l1(X1,X0) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f597,plain,
! [X2,X0,X1] :
( p2(X1,X2,X0)
| ~ n3(X0) ),
inference(consistent_polarity_flipping,[],[f278]) ).
fof(f609,plain,
! [X2,X0,X1] :
( n0(X2,X0)
| q2(X2,X0,X1)
| ~ q3(X0,X1) ),
inference(consistent_polarity_flipping,[],[f293]) ).
fof(f628,plain,
( ~ k4(c)
| n0(c,d)
| q3(e,b)
| n3(e) ),
inference(consistent_polarity_flipping,[],[f312]) ).
fof(f665,plain,
k4(c),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f847,definition,
( spl0_47
<=> n3(e) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f851,definition,
( spl0_48
<=> q3(e,b) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f853,plain,
( q3(e,b)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f855,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f859,definition,
( spl0_50
<=> k4(c) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f862,plain,
( spl0_47
| spl0_48
| spl0_49
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f628,f859,f855,f851,f847]) ).
fof(f999,definition,
( spl0_85
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f1000,plain,
( ~ r0(b)
| spl0_85 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1210,definition,
( spl0_137
<=> k1(e) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f1211,plain,
( ~ k1(e)
| spl0_137 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1472,definition,
( spl0_202
<=> ! [X2] : r0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
fof(f1473,plain,
( ! [X2] : r0(X2)
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f1781,definition,
( spl0_277
<=> ! [X2,X0,X1] :
( l1(X0,X1)
| ~ m0(X1,X0,X2)
| ~ p0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
fof(f1782,plain,
( ! [X2,X0,X1] :
( l1(X0,X1)
| ~ m0(X1,X0,X2)
| ~ p0(X2,X0) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f1783,plain,
( spl0_202
| spl0_277 ),
inference(avatar_split_clause,[],[f384,f1781,f1472]) ).
fof(f1784,plain,
~ spl0_49,
inference(avatar_split_clause,[],[f380,f855]) ).
fof(f1794,plain,
~ spl0_85,
inference(avatar_split_clause,[],[f374,f999]) ).
fof(f1800,plain,
spl0_50,
inference(avatar_split_clause,[],[f665,f859]) ).
fof(f1813,plain,
( $false
| spl0_85
| ~ spl0_202 ),
inference(resolution,[],[f1473,f1000]) ).
fof(f1816,plain,
( spl0_85
| ~ spl0_202 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1844,plain,
~ k1(e),
inference(resolution,[],[f382,f379]) ).
fof(f1852,plain,
~ spl0_137,
inference(avatar_split_clause,[],[f1844,f1210]) ).
fof(f1932,plain,
( ~ p2(e,e,e)
| spl0_137 ),
inference(resolution,[],[f525,f1211]) ).
fof(f1957,plain,
( ~ n3(e)
| spl0_137 ),
inference(resolution,[],[f597,f1932]) ).
fof(f1968,plain,
( ~ spl0_47
| spl0_137 ),
inference(avatar_split_clause,[],[f1957,f1210,f847]) ).
fof(f2523,plain,
! [X0] :
( q2(e,e,X0)
| ~ q3(e,X0) ),
inference(resolution,[],[f609,f379]) ).
fof(f2580,plain,
! [X0] :
( ~ q3(e,X0)
| ~ l1(X0,e) ),
inference(resolution,[],[f2523,f552]) ).
fof(f2593,plain,
( ~ l1(b,e)
| ~ spl0_48 ),
inference(resolution,[],[f2580,f853]) ).
fof(f3442,plain,
( ! [X0] :
( ~ m0(e,b,X0)
| ~ p0(X0,b) )
| ~ spl0_48
| ~ spl0_277 ),
inference(resolution,[],[f2593,f1782]) ).
fof(f3443,plain,
( ~ p0(c,b)
| ~ spl0_48
| ~ spl0_277 ),
inference(resolution,[],[f3442,f27]) ).
fof(f3444,plain,
( $false
| ~ spl0_48
| ~ spl0_277 ),
inference(resolution,[],[f3443,f18]) ).
fof(f3445,plain,
( ~ spl0_48
| ~ spl0_277 ),
inference(avatar_contradiction_clause,[],[f3444]) ).
cnf(s22,plain,
( spl0_47
| spl0_48
| spl0_49
| ~ spl0_50 ),
inference(sat_conversion,[],[f862]) ).
cnf(s142,plain,
( spl0_202
| spl0_277 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s143,plain,
~ spl0_49,
inference(sat_conversion,[],[f1784]) ).
cnf(s153,plain,
~ spl0_85,
inference(sat_conversion,[],[f1794]) ).
cnf(s158,plain,
spl0_50,
inference(sat_conversion,[],[f1800]) ).
cnf(s166,plain,
( spl0_85
| ~ spl0_202 ),
inference(sat_conversion,[],[f1816]) ).
cnf(s180,plain,
~ spl0_137,
inference(sat_conversion,[],[f1852]) ).
cnf(s218,plain,
( ~ spl0_47
| spl0_137 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s419,plain,
( ~ spl0_48
| ~ spl0_277 ),
inference(sat_conversion,[],[f3445]) ).
cnf(s452,plain,
~ spl0_47,
inference(rat,[],[s218,s180]) ).
cnf(s457,plain,
~ spl0_202,
inference(rat,[],[s166,s153]) ).
cnf(s468,plain,
spl0_277,
inference(rat,[],[s142,s457]) ).
cnf(s469,plain,
~ spl0_48,
inference(rat,[],[s419,s468]) ).
cnf(s615,plain,
$false,
inference(rat,[],[s22,s158,s143,s469,s452]) ).
fof(f3446,plain,
$false,
inference(avatar_sat_refutation,[],[s615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN115-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n002.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:37:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.27 % (459124)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (459135)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=67251886:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (459130)% WARNING: option uhcvi not known.
% 0.19/0.27 % (459131)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3530311507:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (459129)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=591722420_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (459132)dis+10_1_sil=32000:sp=arity:random_seed=355449923:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (459130)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2176001110:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (459133)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1184933877:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (459134)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4244446517:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (459135) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-459124-459135"...
% 0.19/0.27 % (459135)...printing done.
% 0.19/0.27 % (459135)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (459135)------------------------------
% 0.19/0.27 % (459135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (459135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (459135)CaDiCaL version: 2.1.3
% 0.19/0.27 % (459135)Termination reason: Refutation
% 0.19/0.27 % (459135)Time elapsed: 0.021 s
% 0.19/0.27 % (459135)Peak memory usage: 14 MB
% 0.19/0.27 % (459135)Instructions burned: 56 (million)
% 0.19/0.27 % (459124)Success in time 0.051 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------