%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN116-1 : 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 02:06:48 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.32s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 51 ( 18 unt; 5 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 95 ( 51 ~; 39 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f44,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_006) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f305,axiom,
! [X2,X0,X1] :
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_267) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( s4(X0)
| ~ p3(X1,X2,X3)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f338,axiom,
! [X2,X0,X1] :
( k5(X0)
| ~ s4(X1)
| ~ r3(X2,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_300) ).
fof(f369,negated_conjecture,
~ k5(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f385,definition,
( spl0_5
<=> k5(b) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f387,plain,
( ~ k5(b)
| spl0_5 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f453,definition,
( spl0_22
<=> ! [X1] : ~ s4(X1) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f454,plain,
( ! [X1] : ~ s4(X1)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f456,definition,
( spl0_23
<=> ! [X2,X0] :
( k5(X0)
| ~ r3(X2,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f457,plain,
( ! [X2,X0] :
( ~ r3(X2,X0,X0)
| k5(X0) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f458,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f338,f456,f453]) ).
fof(f983,definition,
( spl0_155
<=> ! [X0] : p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f984,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1134,definition,
( spl0_192
<=> ! [X2,X1] : ~ l1(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
fof(f1135,plain,
( ! [X2,X1] : ~ l1(X1,X2)
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1569,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f369,f385]) ).
fof(f1691,plain,
( ! [X0,X1] : ~ n0(X1,X0)
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f40,f1135]) ).
fof(f1692,plain,
( $false
| ~ spl0_192 ),
inference(resolution,[],[f1691,f3]) ).
fof(f1707,plain,
~ spl0_192,
inference(avatar_contradiction_clause,[],[f1692]) ).
fof(f1852,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f1945,plain,
! [X0] : n2(X0),
inference(resolution,[],[f1852,f175]) ).
fof(f2001,plain,
! [X0] : m1(X0,X0,X0),
inference(resolution,[],[f44,f19]) ).
fof(f2087,plain,
! [X0] : p2(X0,X0,X0),
inference(resolution,[],[f2001,f214]) ).
fof(f2088,plain,
spl0_155,
inference(avatar_split_clause,[],[f2087,f983]) ).
fof(f2110,plain,
( ! [X0] : r3(X0,X0,X0)
| ~ spl0_155 ),
inference(resolution,[],[f305,f984]) ).
fof(f2329,plain,
( ! [X2,X3,X0,X1] :
( ~ p3(X1,X2,X3)
| ~ l1(X0,X2) )
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f337,f454]) ).
fof(f2331,plain,
( ! [X0,X1] :
( ~ l1(X0,X1)
| ~ n2(X1) )
| ~ spl0_22 ),
inference(resolution,[],[f2329,f282]) ).
fof(f2336,plain,
( ! [X0,X1] : ~ l1(X0,X1)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2331,f1945]) ).
fof(f2338,plain,
( spl0_192
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f2336,f453,f1134]) ).
fof(f2340,plain,
( ! [X0] : k5(X0)
| ~ spl0_23
| ~ spl0_155 ),
inference(resolution,[],[f457,f2110]) ).
fof(f2353,plain,
( $false
| spl0_5
| ~ spl0_23
| ~ spl0_155 ),
inference(resolution,[],[f2340,f387]) ).
fof(f2356,plain,
( spl0_5
| ~ spl0_23
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f2353]) ).
cnf(s10,plain,
( spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f458]) ).
cnf(s169,plain,
~ spl0_5,
inference(sat_conversion,[],[f1569]) ).
cnf(s230,plain,
~ spl0_192,
inference(sat_conversion,[],[f1707]) ).
cnf(s306,plain,
spl0_155,
inference(sat_conversion,[],[f2088]) ).
cnf(s334,plain,
( ~ spl0_22
| spl0_192 ),
inference(sat_conversion,[],[f2338]) ).
cnf(s339,plain,
( spl0_5
| ~ spl0_23
| ~ spl0_155 ),
inference(sat_conversion,[],[f2356]) ).
cnf(s342,plain,
~ spl0_22,
inference(rat,[],[s334,s230]) ).
cnf(s346,plain,
~ spl0_23,
inference(rat,[],[s339,s306,s169]) ).
cnf(s474,plain,
$false,
inference(rat,[],[s10,s346,s342]) ).
fof(f2357,plain,
$false,
inference(avatar_sat_refutation,[],[s474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN116-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n009.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:34:45 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.24 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
% 0.22/0.32 % (3155578)Will run a generic schedule for satisfiability detection.
% 0.22/0.32 % (3155586)dis+10_1_sil=32000:sp=arity:random_seed=2600450747:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.32 % (3155584)% WARNING: option uhcvi not known.
% 0.22/0.32 % (3155583)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3511618903_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.32 % (3155584)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2065060854:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.32 % (3155587)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1873631709:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.32 % (3155585)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3290358207:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.32 % (3155588)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2891316551:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.32 % (3155589)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2028566324:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.32 % (3155586) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3155578-3155586"...
% 0.22/0.32 % (3155586)...printing done.
% 0.22/0.32 % (3155586)Refutation found. Thanks to Tanya!
% 0.22/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.32 % (3155586)------------------------------
% 0.22/0.32 % (3155586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (3155586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (3155586)CaDiCaL version: 2.1.3
% 0.22/0.32 % (3155586)Termination reason: Refutation
% 0.22/0.32 % (3155586)Time elapsed: 0.018 s
% 0.22/0.32 % (3155586)Peak memory usage: 13 MB
% 0.22/0.32 % (3155586)Instructions burned: 28 (million)
% 0.22/0.32 % (3155578)Success in time 0.069 s
% 0.22/0.32 % Vampire exiting
%------------------------------------------------------------------------------