%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN160-1 : 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 : n007.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 02:06:54 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 67 ( 18 unt; 7 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 158 ( 84 ~; 67 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 8 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(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(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f248,axiom,
! [X0] :
( k3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_210) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).
fof(f325,axiom,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f327,axiom,
! [X2,X3,X0,X1] :
( p4(X0,X0,X0)
| ~ l4(X0)
| ~ n0(X0,X1)
| ~ p4(X2,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_289) ).
fof(f354,axiom,
! [X2,X0,X1] :
( n5(X0,X0)
| ~ p4(X1,X0,X0)
| ~ s1(X0)
| ~ p4(b,b,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_316) ).
fof(f369,negated_conjecture,
~ n5(b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f397,definition,
( spl0_8
<=> ! [X2] : ~ p4(b,b,X2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f398,plain,
( ! [X2] : ~ p4(b,b,X2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,definition,
( spl0_9
<=> ! [X0,X1] :
( n5(X0,X0)
| ~ s1(X0)
| ~ p4(X1,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f401,plain,
( ! [X0,X1] :
( n5(X0,X0)
| ~ s1(X0)
| ~ p4(X1,X0,X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f354,f400,f397]) ).
fof(f495,definition,
( spl0_33
<=> ! [X2,X3] : ~ p4(X2,X3,X2) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f496,plain,
( ! [X2,X3] : ~ p4(X2,X3,X2)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f498,definition,
( spl0_34
<=> ! [X0,X1] :
( p4(X0,X0,X0)
| ~ n0(X0,X1)
| ~ l4(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f499,plain,
( ! [X0,X1] :
( p4(X0,X0,X0)
| ~ n0(X0,X1)
| ~ l4(X0) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f500,plain,
( spl0_33
| spl0_34 ),
inference(avatar_split_clause,[],[f327,f498,f495]) ).
fof(f602,definition,
( spl0_60
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f603,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f1141,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1157,definition,
( spl0_198
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1158,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1159,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f164,f1157,f602]) ).
fof(f1577,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1142,f14]) ).
fof(f1578,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1651,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f163,f603]) ).
fof(f1652,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1651,f602,f1141]) ).
fof(f1660,plain,
( ! [X0] : s1(X0)
| ~ spl0_198 ),
inference(resolution,[],[f1158,f17]) ).
fof(f1771,plain,
! [X0] :
( ~ n2(X0)
| l4(X0) ),
inference(resolution,[],[f315,f282]) ).
fof(f1853,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f1923,plain,
! [X0] : n2(X0),
inference(resolution,[],[f1853,f175]) ).
fof(f1929,plain,
! [X0] : l4(X0),
inference(resolution,[],[f1923,f1771]) ).
fof(f2117,plain,
( ! [X0,X1] : ~ k3(X0,X0,X1)
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f325,f496]) ).
fof(f2120,plain,
( ! [X0] : ~ n2(X0)
| ~ spl0_33 ),
inference(resolution,[],[f2117,f248]) ).
fof(f2123,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2120,f1923]) ).
fof(f2124,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f2123]) ).
fof(f2144,plain,
( ! [X0,X1] :
( ~ n0(X0,X1)
| p4(X0,X0,X0) )
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f499,f1929]) ).
fof(f2154,plain,
( p4(b,b,b)
| ~ spl0_34 ),
inference(resolution,[],[f2144,f37]) ).
fof(f2156,plain,
( $false
| ~ spl0_8
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f2154,f398]) ).
fof(f2157,plain,
( ~ spl0_8
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f2156]) ).
fof(f2158,plain,
( ! [X0,X1] :
( ~ p4(X1,X0,X0)
| n5(X0,X0) )
| ~ spl0_9
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f401,f1660]) ).
fof(f2245,plain,
( n5(b,b)
| ~ spl0_9
| ~ spl0_34
| ~ spl0_198 ),
inference(resolution,[],[f2154,f2158]) ).
fof(f2246,plain,
( $false
| ~ spl0_9
| ~ spl0_34
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f2245,f369]) ).
fof(f2247,plain,
( ~ spl0_9
| ~ spl0_34
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f2246]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f402]) ).
cnf(s15,plain,
( spl0_33
| spl0_34 ),
inference(sat_conversion,[],[f500]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s173,plain,
~ spl0_194,
inference(sat_conversion,[],[f1578]) ).
cnf(s209,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s308,plain,
~ spl0_33,
inference(sat_conversion,[],[f2124]) ).
cnf(s318,plain,
( ~ spl0_8
| ~ spl0_34 ),
inference(sat_conversion,[],[f2157]) ).
cnf(s329,plain,
( ~ spl0_9
| ~ spl0_34
| ~ spl0_198 ),
inference(sat_conversion,[],[f2247]) ).
cnf(s334,plain,
~ spl0_60,
inference(rat,[],[s209,s173]) ).
cnf(s398,plain,
spl0_198,
inference(rat,[],[s91,s334]) ).
cnf(s454,plain,
spl0_34,
inference(rat,[],[s15,s308]) ).
cnf(s455,plain,
~ spl0_9,
inference(rat,[],[s329,s398,s454]) ).
cnf(s456,plain,
~ spl0_8,
inference(rat,[],[s318,s454]) ).
cnf(s461,plain,
$false,
inference(rat,[],[s4,s455,s456]) ).
fof(f2248,plain,
$false,
inference(avatar_sat_refutation,[],[s461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN160-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:35:25 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 0.18/0.28 % (2498447)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (2498452)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1156312088_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % (2498453)% WARNING: option uhcvi not known.
% 0.18/0.28 % (2498453)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3799119162:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (2498454)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3492430919:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (2498455)dis+10_1_sil=32000:sp=arity:random_seed=1809632725:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (2498456)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=559702741:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % Detected minimum model sizes of [1]
% 0.18/0.28 % Detected maximum model sizes of [5]
% 0.18/0.28 % TRYING [1]
% 0.18/0.28 % TRYING [2]
% 0.18/0.28 % TRYING [3]
% 0.18/0.28 % TRYING [4]
% 0.18/0.28 % (2498455) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2498447-2498455"...
% 0.18/0.28 % (2498453) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2498447-2498453"...
% 0.18/0.28 % (2498455)...printing done.
% 0.18/0.28 % (2498457)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=626271786:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % (2498458)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3904273623:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % (2498453)...printing done.
% 0.18/0.28 % (2498455)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.28 % (2498455)------------------------------
% 0.18/0.28 % (2498455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (2498455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (2498455)CaDiCaL version: 2.1.3
% 0.18/0.28 % (2498455)Termination reason: Refutation
% 0.18/0.28 % (2498455)Time elapsed: 0.019 s
% 0.18/0.28 % (2498455)Peak memory usage: 13 MB
% 0.18/0.28 % (2498455)Instructions burned: 26 (million)
% 0.18/0.28 % (2498447)Success in time 0.07 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------