%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN178-1 : 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 : n009.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 02:06:57 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 57 ( 20 unt; 6 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 143 ( 72 ~; 65 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
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(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(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f155,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_117) ).
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(f215,axiom,
! [X0,X1] :
( ~ k0(X1)
| q2(X0,X1,X1)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).
fof(f225,axiom,
! [X2,X3,X0,X1] :
( ~ r1(X1)
| q2(X0,X1,X0)
| ~ m0(X2,X3,X0)
| ~ k0(X1)
| ~ q2(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_187) ).
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(f369,negated_conjecture,
~ q3(b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f478,definition,
( spl0_29
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f479,plain,
( q1(d,d,d)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f796,definition,
( spl0_108
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f980,definition,
( spl0_155
<=> r1(b) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f981,plain,
( r1(b)
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f982,plain,
( ~ r1(b)
| spl0_155 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f985,definition,
( spl0_156
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f986,plain,
( k0(b)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f1026,definition,
( spl0_166
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1027,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1028,plain,
( ~ spl0_108
| spl0_166 ),
inference(avatar_split_clause,[],[f162,f1026,f796]) ).
fof(f1051,definition,
( spl0_172
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1054,plain,
( ~ spl0_108
| ~ spl0_172
| spl0_29 ),
inference(avatar_split_clause,[],[f155,f478,f1051,f796]) ).
fof(f1282,plain,
spl0_156,
inference(avatar_split_clause,[],[f32,f985]) ).
fof(f1283,plain,
spl0_172,
inference(avatar_split_clause,[],[f28,f1051]) ).
fof(f1293,plain,
spl0_108,
inference(avatar_split_clause,[],[f1,f796]) ).
fof(f1543,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f1917,plain,
( ! [X0] :
( ~ q0(b,X0)
| ~ q1(d,X0,d) )
| spl0_155
| ~ spl0_166 ),
inference(resolution,[],[f1027,f982]) ).
fof(f2031,plain,
( ! [X0] :
( q2(X0,b,b)
| ~ p1(X0,X0,X0) )
| ~ spl0_156 ),
inference(resolution,[],[f215,f986]) ).
fof(f2034,plain,
( ! [X0] : q2(X0,b,b)
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f2031,f1543]) ).
fof(f2066,plain,
! [X0] :
( ~ q2(X0,b,d)
| ~ n0(X0,b) ),
inference(resolution,[],[f293,f369]) ).
fof(f2096,plain,
( ~ q1(d,d,d)
| spl0_155
| ~ spl0_166 ),
inference(resolution,[],[f1917,f17]) ).
fof(f2097,plain,
( $false
| ~ spl0_29
| spl0_155
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f2096,f479]) ).
fof(f2098,plain,
( ~ spl0_29
| spl0_155
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f2097]) ).
fof(f2897,plain,
( ! [X2,X0,X1] :
( q2(X0,b,X0)
| ~ m0(X1,X2,X0)
| ~ k0(b)
| ~ q2(b,b,b) )
| ~ spl0_155 ),
inference(resolution,[],[f225,f981]) ).
fof(f2898,plain,
( ! [X2,X0,X1] :
( q2(X0,b,X0)
| ~ m0(X1,X2,X0)
| ~ q2(b,b,b) )
| ~ spl0_155
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f2897,f986]) ).
fof(f2923,plain,
( ! [X2,X0,X1] :
( q2(X0,b,X0)
| ~ m0(X1,X2,X0) )
| ~ spl0_155
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f2898,f2034]) ).
fof(f3377,plain,
( ! [X0,X1] :
( ~ m0(X0,X1,d)
| ~ n0(d,b) )
| ~ spl0_155
| ~ spl0_156 ),
inference(resolution,[],[f2923,f2066]) ).
fof(f3382,plain,
( ! [X0,X1] : ~ m0(X0,X1,d)
| ~ spl0_155
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f3377,f7]) ).
fof(f3383,plain,
( $false
| ~ spl0_155
| ~ spl0_156 ),
inference(resolution,[],[f3382,f19]) ).
fof(f3384,plain,
( ~ spl0_155
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f3383]) ).
cnf(s78,plain,
( ~ spl0_108
| spl0_166 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s82,plain,
( spl0_29
| ~ spl0_108
| ~ spl0_172 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s122,plain,
spl0_156,
inference(sat_conversion,[],[f1282]) ).
cnf(s123,plain,
spl0_172,
inference(sat_conversion,[],[f1283]) ).
cnf(s133,plain,
spl0_108,
inference(sat_conversion,[],[f1293]) ).
cnf(s260,plain,
( ~ spl0_29
| spl0_155
| ~ spl0_166 ),
inference(sat_conversion,[],[f2098]) ).
cnf(s356,plain,
( ~ spl0_155
| ~ spl0_156 ),
inference(sat_conversion,[],[f3384]) ).
cnf(s376,plain,
~ spl0_155,
inference(rat,[],[s356,s122]) ).
cnf(s439,plain,
spl0_29,
inference(rat,[],[s82,s123,s133]) ).
cnf(s440,plain,
~ spl0_166,
inference(rat,[],[s260,s376,s439]) ).
cnf(s445,plain,
$false,
inference(rat,[],[s78,s440,s133]) ).
fof(f3385,plain,
$false,
inference(avatar_sat_refutation,[],[s445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN178-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n009.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 15:37:45 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.21/0.31 % (3162331)Will run a generic schedule for satisfiability detection.
% 0.21/0.31 % (3162348)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2032521095:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.31 % (3162344)% WARNING: option uhcvi not known.
% 0.21/0.31 % (3162343)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2818959610_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.31 % (3162347)dis+10_1_sil=32000:sp=arity:random_seed=2542299971:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.31 % (3162346)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1872099320:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.31 % (3162344)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1472977730:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.31 % (3162350)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=160929612:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.31 % (3162349)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1817561724:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.31 % Detected minimum model sizes of [1]
% 0.21/0.31 % Detected maximum model sizes of [5]
% 0.21/0.31 % TRYING [1]
% 0.21/0.31 % (3162348) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3162331-3162348"...
% 0.21/0.31 % TRYING [2]
% 0.21/0.31 % (3162348)...printing done.
% 0.21/0.31 % (3162348)Refutation found. Thanks to Tanya!
% 0.21/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (3162348)------------------------------
% 0.21/0.31 % (3162348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (3162348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (3162348)CaDiCaL version: 2.1.3
% 0.21/0.31 % (3162348)Termination reason: Refutation
% 0.21/0.31 % (3162348)Time elapsed: 0.029 s
% 0.21/0.31 % (3162348)Peak memory usage: 14 MB
% 0.21/0.31 % (3162348)Instructions burned: 78 (million)
% 0.21/0.31 % (3162331)Success in time 0.075 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------