%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN191-1 : 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 : n011.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 02:06:59 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.31s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 79 ( 28 unt; 9 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 192 ( 95 ~; 88 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 10 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
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(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f33,axiom,
q0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_33) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f73,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ r0(X0)
| ~ l0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_035) ).
fof(f131,axiom,
! [X0,X1] :
( ~ q0(X1,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_093) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).
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(f165,axiom,
! [X2,X3,X0,X1] :
( ~ m1(X2,X1,X0)
| k2(X0,X1)
| ~ k1(X3)
| ~ k2(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f226,axiom,
! [X0] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).
fof(f304,axiom,
! [X0] :
( r3(X0,X0,X0)
| ~ r2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_266) ).
fof(f310,axiom,
! [X2,X0,X1] :
( ~ r3(X2,X0,X0)
| ~ k2(X1,X2)
| ~ r2(X2)
| r3(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_272) ).
fof(f369,negated_conjecture,
~ r3(c,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f587,definition,
( spl0_56
<=> ! [X0] :
( r3(X0,X0,X0)
| ~ r2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f588,plain,
( ! [X0] :
( r3(X0,X0,X0)
| ~ r2(X0) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f717,definition,
( spl0_89
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f718,plain,
( r0(b)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f734,definition,
( spl0_93
<=> k2(b,c) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f736,plain,
( ~ k2(b,c)
| spl0_93 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f774,definition,
( spl0_103
<=> r2(c) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f775,plain,
( r2(c)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f876,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f900,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f901,plain,
( l0(c)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f1116,definition,
( spl0_188
<=> k1(c) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
fof(f1117,plain,
( k1(c)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1161,definition,
( spl0_199
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
fof(f1162,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1163,plain,
( ~ spl0_128
| spl0_199 ),
inference(avatar_split_clause,[],[f162,f1161,f876]) ).
fof(f1558,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f900]) ).
fof(f1565,plain,
spl0_89,
inference(avatar_split_clause,[],[f9,f717]) ).
fof(f1568,plain,
spl0_128,
inference(avatar_split_clause,[],[f1,f876]) ).
fof(f1623,plain,
k1(c),
inference(resolution,[],[f39,f26]) ).
fof(f1639,plain,
spl0_188,
inference(avatar_split_clause,[],[f1623,f1116]) ).
fof(f1770,plain,
spl0_56,
inference(avatar_split_clause,[],[f304,f587]) ).
fof(f1862,plain,
q1(c,c,c),
inference(resolution,[],[f131,f33]) ).
fof(f1960,plain,
k2(c,c),
inference(resolution,[],[f1862,f167]) ).
fof(f2028,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[],[f148,f19]) ).
fof(f2401,plain,
( ! [X0] :
( r1(X0)
| ~ q0(X0,d) )
| ~ spl0_199 ),
inference(resolution,[],[f1162,f2028]) ).
fof(f2411,plain,
( ! [X0] : r1(X0)
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f2401,f17]) ).
fof(f2419,definition,
( spl0_298
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
fof(f2420,plain,
( ! [X0] : r1(X0)
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f2419]) ).
fof(f2423,plain,
( spl0_298
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2411,f1161,f2419]) ).
fof(f2434,plain,
( ! [X0] :
( ~ l0(X0)
| r2(X0) )
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f226,f2420]) ).
fof(f2439,plain,
( r2(c)
| ~ spl0_134
| ~ spl0_298 ),
inference(resolution,[],[f2434,f901]) ).
fof(f2446,plain,
( spl0_103
| ~ spl0_134
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f2439,f2419,f900,f774]) ).
fof(f2958,plain,
! [X2,X0,X1] :
( ~ k2(X2,X1)
| ~ k1(X2)
| k2(X0,X1)
| ~ r0(X0)
| ~ l0(X1) ),
inference(resolution,[],[f165,f73]) ).
fof(f3215,plain,
( ! [X0,X1] :
( ~ k2(X0,X1)
| ~ r2(X1)
| r3(X1,X0,X1)
| ~ r2(X1) )
| ~ spl0_56 ),
inference(resolution,[],[f310,f588]) ).
fof(f3219,plain,
( ! [X0,X1] :
( r3(X1,X0,X1)
| ~ r2(X1)
| ~ k2(X0,X1) )
| ~ spl0_56 ),
inference(duplicate_literal_removal,[],[f3215]) ).
fof(f4424,plain,
( ~ r2(c)
| ~ k2(b,c)
| ~ spl0_56 ),
inference(resolution,[],[f3219,f369]) ).
fof(f4823,plain,
! [X0] :
( ~ k1(c)
| k2(X0,c)
| ~ r0(X0)
| ~ l0(c) ),
inference(resolution,[],[f2958,f1960]) ).
fof(f4826,plain,
( ! [X0] :
( k2(X0,c)
| ~ r0(X0)
| ~ l0(c) )
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f4823,f1117]) ).
fof(f4829,plain,
( ! [X0] :
( k2(X0,c)
| ~ r0(X0) )
| ~ spl0_134
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f4826,f901]) ).
fof(f5137,plain,
( ~ r0(b)
| spl0_93
| ~ spl0_134
| ~ spl0_188 ),
inference(resolution,[],[f4829,f736]) ).
fof(f5138,plain,
( $false
| ~ spl0_89
| spl0_93
| ~ spl0_134
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f5137,f718]) ).
fof(f5139,plain,
( ~ spl0_89
| spl0_93
| ~ spl0_134
| ~ spl0_188 ),
inference(avatar_contradiction_clause,[],[f5138]) ).
fof(f5154,plain,
( ~ k2(b,c)
| ~ spl0_56
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f4424,f775]) ).
fof(f5157,plain,
( ~ spl0_93
| ~ spl0_56
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f5154,f774,f587,f734]) ).
cnf(s92,plain,
( ~ spl0_128
| spl0_199 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1558]) ).
cnf(s165,plain,
spl0_89,
inference(sat_conversion,[],[f1565]) ).
cnf(s168,plain,
spl0_128,
inference(sat_conversion,[],[f1568]) ).
cnf(s198,plain,
spl0_188,
inference(sat_conversion,[],[f1639]) ).
cnf(s255,plain,
spl0_56,
inference(sat_conversion,[],[f1770]) ).
cnf(s346,plain,
( ~ spl0_199
| spl0_298 ),
inference(sat_conversion,[],[f2423]) ).
cnf(s357,plain,
( spl0_103
| ~ spl0_134
| ~ spl0_298 ),
inference(sat_conversion,[],[f2446]) ).
cnf(s564,plain,
( ~ spl0_89
| spl0_93
| ~ spl0_134
| ~ spl0_188 ),
inference(sat_conversion,[],[f5139]) ).
cnf(s569,plain,
( ~ spl0_56
| ~ spl0_93
| ~ spl0_103 ),
inference(sat_conversion,[],[f5157]) ).
cnf(s609,plain,
spl0_93,
inference(rat,[],[s564,s198,s165,s158]) ).
cnf(s611,plain,
~ spl0_103,
inference(rat,[],[s569,s255,s609]) ).
cnf(s612,plain,
~ spl0_298,
inference(rat,[],[s357,s158,s611]) ).
cnf(s613,plain,
~ spl0_199,
inference(rat,[],[s346,s612]) ).
cnf(s695,plain,
$false,
inference(rat,[],[s92,s613,s168]) ).
fof(f5164,plain,
$false,
inference(avatar_sat_refutation,[],[s695]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN191-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n011.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:38:00 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.22/0.31 % (3477426)Will run a generic schedule for satisfiability detection.
% 0.22/0.31 % (3477434)dis+10_1_sil=32000:sp=arity:random_seed=1858264707:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.31 % (3477432)% WARNING: option uhcvi not known.
% 0.22/0.31 % (3477432)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3998184816:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.31 % (3477433)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1330681732:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.31 % (3477431)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2778761258_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.31 % (3477435)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4193642566:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.31 % (3477436)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1799776478:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.31 % (3477437)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1772503679:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.31 % Detected minimum model sizes of [1]
% 0.22/0.31 % Detected maximum model sizes of [5]
% 0.22/0.31 % TRYING [1]
% 0.22/0.31 % TRYING [2]
% 0.22/0.31 % (3477434) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3477426-3477434"...
% 0.22/0.31 % (3477434)...printing done.
% 0.22/0.31 % (3477434)Refutation found. Thanks to Tanya!
% 0.22/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.31 % (3477434)------------------------------
% 0.22/0.31 % (3477434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.31 % (3477434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.31 % (3477434)CaDiCaL version: 2.1.3
% 0.22/0.31 % (3477434)Termination reason: Refutation
% 0.22/0.31 % (3477434)Time elapsed: 0.033 s
% 0.22/0.31 % (3477434)Peak memory usage: 14 MB
% 0.22/0.31 % (3477434)Instructions burned: 89 (million)
% 0.22/0.31 % (3477426)Success in time 0.072 s
% 0.22/0.31 % Vampire exiting
%------------------------------------------------------------------------------