%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN110-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 02:06:47 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 79 ( 23 unt; 11 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 171 ( 86 ~; 74 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 12 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f33,axiom,
q0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_33) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f58,axiom,
( m1(c,c,c)
| ~ l0(c) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_020) ).
fof(f62,axiom,
! [X2,X0,X1] :
( m1(X0,a,X1)
| ~ m0(a,X2,a)
| ~ q0(X0,X1)
| ~ m1(X1,c,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_024) ).
fof(f150,axiom,
! [X0] :
( q1(X0,X0,X0)
| ~ k1(X0)
| ~ s0(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_112) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( k2(X0,X1)
| ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( k2(X0,X0)
| ~ q1(X1,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f369,negated_conjecture,
~ k2(c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f523,definition,
( spl0_40
<=> k2(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f524,plain,
( k2(a,a)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f525,plain,
( ~ k2(a,a)
| spl0_40 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f820,definition,
( spl0_114
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f866,definition,
( spl0_126
<=> m1(d,a,c) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f867,plain,
( m1(d,a,c)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f1023,definition,
( spl0_165
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1051,definition,
( spl0_172
<=> ! [X0] :
( q1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1052,plain,
( ! [X0] :
( ~ k1(X0)
| q1(X0,X0,X0) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1053,plain,
( ~ spl0_165
| spl0_172 ),
inference(avatar_split_clause,[],[f150,f1051,f1023]) ).
fof(f1196,definition,
( spl0_208
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
fof(f1197,plain,
( k1(a)
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1198,plain,
( ~ k1(a)
| spl0_208 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1229,definition,
( spl0_216
<=> ! [X2] : ~ m0(a,X2,a) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
fof(f1230,plain,
( ! [X2] : ~ m0(a,X2,a)
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1232,definition,
( spl0_217
<=> ! [X0,X1] :
( m1(X0,a,X1)
| ~ m1(X1,c,X1)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
fof(f1233,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| ~ m1(X1,c,X1)
| m1(X0,a,X1) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1234,plain,
( spl0_216
| spl0_217 ),
inference(avatar_split_clause,[],[f62,f1232,f1229]) ).
fof(f1241,definition,
( spl0_219
<=> m1(c,c,c) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
fof(f1243,plain,
( m1(c,c,c)
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f1244,plain,
( ~ spl0_114
| spl0_219 ),
inference(avatar_split_clause,[],[f58,f1241,f820]) ).
fof(f1273,plain,
spl0_114,
inference(avatar_split_clause,[],[f24,f820]) ).
fof(f1280,plain,
spl0_165,
inference(avatar_split_clause,[],[f5,f1023]) ).
fof(f1299,plain,
( $false
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f1230,f12]) ).
fof(f1300,plain,
~ spl0_216,
inference(avatar_contradiction_clause,[],[f1299]) ).
fof(f1353,plain,
( ! [X0] : ~ n0(X0,a)
| spl0_208 ),
inference(resolution,[],[f1198,f39]) ).
fof(f1366,plain,
( $false
| spl0_208 ),
inference(resolution,[],[f1353,f37]) ).
fof(f1367,plain,
spl0_208,
inference(avatar_contradiction_clause,[],[f1366]) ).
fof(f1481,plain,
( q1(a,a,a)
| ~ spl0_172
| ~ spl0_208 ),
inference(resolution,[],[f1052,f1197]) ).
fof(f1553,plain,
( ! [X0] : ~ q1(X0,a,a)
| spl0_40 ),
inference(resolution,[],[f167,f525]) ).
fof(f1563,plain,
( $false
| spl0_40
| ~ spl0_172
| ~ spl0_208 ),
inference(resolution,[],[f1553,f1481]) ).
fof(f1564,plain,
( spl0_40
| ~ spl0_172
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f2221,plain,
( ~ m1(c,c,c)
| m1(d,a,c)
| ~ spl0_217 ),
inference(resolution,[],[f1233,f33]) ).
fof(f2227,plain,
( m1(d,a,c)
| ~ spl0_217
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f2221,f1243]) ).
fof(f2237,plain,
( spl0_126
| ~ spl0_217
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f2227,f1241,f1232,f866]) ).
fof(f2439,plain,
! [X0,X1] :
( ~ k2(X0,a)
| ~ k1(X0)
| ~ m1(X1,a,c) ),
inference(resolution,[],[f165,f369]) ).
fof(f2455,definition,
( spl0_274
<=> ! [X1] : ~ m1(X1,a,c) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
fof(f2456,plain,
( ! [X1] : ~ m1(X1,a,c)
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f2455]) ).
fof(f2458,definition,
( spl0_275
<=> ! [X0] :
( ~ k2(X0,a)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
fof(f2459,plain,
( ! [X0] :
( ~ k2(X0,a)
| ~ k1(X0) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f2458]) ).
fof(f2460,plain,
( spl0_274
| spl0_275 ),
inference(avatar_split_clause,[],[f2439,f2458,f2455]) ).
fof(f2480,plain,
( $false
| ~ spl0_126
| ~ spl0_274 ),
inference(resolution,[],[f2456,f867]) ).
fof(f2481,plain,
( ~ spl0_126
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f2480]) ).
fof(f2488,plain,
( ~ k1(a)
| ~ spl0_40
| ~ spl0_275 ),
inference(resolution,[],[f2459,f524]) ).
fof(f2489,plain,
( $false
| ~ spl0_40
| ~ spl0_208
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f2488,f1197]) ).
fof(f2490,plain,
( ~ spl0_40
| ~ spl0_208
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f2489]) ).
cnf(s83,plain,
( ~ spl0_165
| spl0_172 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s112,plain,
( spl0_216
| spl0_217 ),
inference(sat_conversion,[],[f1234]) ).
cnf(s114,plain,
( ~ spl0_114
| spl0_219 ),
inference(sat_conversion,[],[f1244]) ).
cnf(s124,plain,
spl0_114,
inference(sat_conversion,[],[f1273]) ).
cnf(s131,plain,
spl0_165,
inference(sat_conversion,[],[f1280]) ).
cnf(s141,plain,
~ spl0_216,
inference(sat_conversion,[],[f1300]) ).
cnf(s168,plain,
spl0_208,
inference(sat_conversion,[],[f1367]) ).
cnf(s203,plain,
( spl0_40
| ~ spl0_172
| ~ spl0_208 ),
inference(sat_conversion,[],[f1564]) ).
cnf(s271,plain,
( spl0_126
| ~ spl0_217
| ~ spl0_219 ),
inference(sat_conversion,[],[f2237]) ).
cnf(s288,plain,
( spl0_274
| spl0_275 ),
inference(sat_conversion,[],[f2460]) ).
cnf(s292,plain,
( ~ spl0_126
| ~ spl0_274 ),
inference(sat_conversion,[],[f2481]) ).
cnf(s294,plain,
( ~ spl0_40
| ~ spl0_208
| ~ spl0_275 ),
inference(sat_conversion,[],[f2490]) ).
cnf(s314,plain,
spl0_219,
inference(rat,[],[s114,s124]) ).
cnf(s317,plain,
spl0_217,
inference(rat,[],[s112,s141]) ).
cnf(s318,plain,
spl0_126,
inference(rat,[],[s271,s314,s317]) ).
cnf(s319,plain,
~ spl0_274,
inference(rat,[],[s292,s318]) ).
cnf(s320,plain,
spl0_275,
inference(rat,[],[s288,s319]) ).
cnf(s321,plain,
~ spl0_40,
inference(rat,[],[s294,s168,s320]) ).
cnf(s322,plain,
~ spl0_172,
inference(rat,[],[s203,s168,s321]) ).
cnf(s354,plain,
$false,
inference(rat,[],[s83,s322,s131]) ).
fof(f2492,plain,
$false,
inference(avatar_sat_refutation,[],[s354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN110-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n013.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:33:51 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.30 % (1275105)Will run a generic schedule for satisfiability detection.
% 0.21/0.30 % (1275114)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=182958454:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.30 % (1275111)% WARNING: option uhcvi not known.
% 0.21/0.30 % (1275113)dis+10_1_sil=32000:sp=arity:random_seed=1722446469:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.30 % (1275110)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2372174782_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.30 % (1275111)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1373717798:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.30 % (1275112)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=738244512:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.30 % (1275115)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=36678716:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.30 % (1275116)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4269725532:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.30 % (1275114) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1275105-1275114"...
% 0.21/0.30 % (1275114)...printing done.
% 0.21/0.30 % (1275114)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.30 % (1275114)------------------------------
% 0.21/0.30 % (1275114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (1275114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (1275114)CaDiCaL version: 2.1.3
% 0.21/0.30 % (1275114)Termination reason: Refutation
% 0.21/0.30 % (1275114)Time elapsed: 0.020 s
% 0.21/0.30 % (1275114)Peak memory usage: 13 MB
% 0.21/0.30 % (1275114)Instructions burned: 56 (million)
% 0.21/0.30 % (1275105)Success in time 0.055 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------