%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN217-1 : 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 : n019.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 02:07:02 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 11 unt; 4 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 80 ( 42 ~; 34 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 32 !; 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(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
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(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f369,negated_conjecture,
~ l2(b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
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(f1144,definition,
( spl0_195
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
fof(f1145,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1146,plain,
( spl0_194
| spl0_195 ),
inference(avatar_split_clause,[],[f171,f1144,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(f1826,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_195
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f1145,f1660]) ).
fof(f1970,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_195
| ~ spl0_198 ),
inference(resolution,[],[f1826,f19]) ).
fof(f1994,plain,
( $false
| ~ spl0_195
| ~ spl0_198 ),
inference(resolution,[],[f1970,f369]) ).
fof(f1999,plain,
( ~ spl0_195
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f1994]) ).
cnf(s89,plain,
( spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f1146]) ).
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(s301,plain,
( ~ spl0_195
| ~ spl0_198 ),
inference(sat_conversion,[],[f1999]) ).
cnf(s305,plain,
~ spl0_60,
inference(rat,[],[s209,s173]) ).
cnf(s370,plain,
spl0_198,
inference(rat,[],[s91,s305]) ).
cnf(s371,plain,
~ spl0_195,
inference(rat,[],[s301,s370]) ).
cnf(s377,plain,
$false,
inference(rat,[],[s89,s371,s173]) ).
fof(f2000,plain,
$false,
inference(avatar_sat_refutation,[],[s377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN217-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n019.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 15:38:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.19/0.29 % (4102247)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (4102253)% WARNING: option uhcvi not known.
% 0.19/0.29 % (4102258)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3733829032:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (4102252)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1608751619_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (4102255)dis+10_1_sil=32000:sp=arity:random_seed=160913558:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (4102254)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1442170786:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (4102256)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2530315258:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (4102253)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2324175290:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (4102257)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1705102234:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (4102255) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4102247-4102255"...
% 0.19/0.29 % (4102255)...printing done.
% 0.19/0.29 % (4102258) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4102247-4102258"...
% 0.19/0.29 % (4102257) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4102247-4102257"...
% 0.19/0.29 % (4102258)...printing done.
% 0.19/0.29 % (4102255)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (4102255)------------------------------
% 0.19/0.29 % (4102255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (4102255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (4102255)CaDiCaL version: 2.1.3
% 0.19/0.29 % (4102255)Termination reason: Refutation
% 0.19/0.29 % (4102255)Time elapsed: 0.015 s
% 0.19/0.29 % (4102255)Peak memory usage: 13 MB
% 0.19/0.29 % (4102255)Instructions burned: 21 (million)
% 0.19/0.29 % (4102247)Success in time 0.061 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------