%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC392-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 01:05:51 PM UTC 2026
% Result : Unsatisfiable 0.72s 0.37s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 49 ( 15 unt; 4 def)
% Number of atoms : 115 ( 20 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 123 ( 57 ~; 62 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
memberP(sk1,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f215,negated_conjecture,
( cons(sk6,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f216,plain,
( sk3 = cons(sk6,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f215]) ).
fof(f217,negated_conjecture,
( memberP(sk4,sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f221,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f222,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f208,f204]) ).
fof(f254,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f256,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f262,definition,
( spl0_3
<=> memberP(sk4,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f264,plain,
( memberP(sk4,sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f217,f262,f254]) ).
fof(f267,definition,
( spl0_4
<=> sk3 = cons(sk6,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f269,plain,
( sk3 = cons(sk6,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f216,f267,f254]) ).
fof(f279,definition,
( spl0_6
<=> ssItem(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f281,plain,
( ssItem(sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f210,f279,f254]) ).
fof(f323,plain,
( memberP(nil,sk5)
| ~ spl0_1 ),
inference(superposition,[],[f221,f256]) ).
fof(f331,plain,
( ~ ssItem(sk5)
| ~ spl0_1 ),
inference(resolution,[],[f71,f323]) ).
fof(f332,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f331,f206]) ).
fof(f333,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f351,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl0_4 ),
inference(superposition,[],[f174,f269]) ).
fof(f354,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f351,f8]) ).
fof(f355,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f354,f281]) ).
fof(f356,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk6 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f355,f71]) ).
fof(f357,plain,
( ~ ssItem(sk5)
| sk5 = sk6
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f356,f221]) ).
fof(f359,plain,
( sk5 = sk6
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f357,f206]) ).
fof(f360,plain,
( ~ memberP(sk4,sk6)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f222,f359]) ).
fof(f363,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f360,f264]) ).
fof(f364,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f363]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f265]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f270]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f282]) ).
cnf(s17,plain,
~ spl0_1,
inference(sat_conversion,[],[f333]) ).
cnf(s18,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f364]) ).
cnf(s19,plain,
spl0_6,
inference(rat,[],[s7,s17]) ).
cnf(s20,plain,
spl0_4,
inference(rat,[],[s3,s17]) ).
cnf(s21,plain,
~ spl0_3,
inference(rat,[],[s18,s19,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s2,s21,s17]) ).
fof(f365,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC392-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n005.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:26:17 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.72/0.37 % (665374)Will run a generic schedule for satisfiability detection.
% 0.72/0.37 % (665385)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=162835151:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.72/0.37 % (665380)% WARNING: option uhcvi not known.
% 0.72/0.37 % (665383)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=808869807:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.72/0.37 % (665379)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1199156994_2999 on theBenchmark for (2999ds/0Mi)
% 0.72/0.37 % (665381)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=198350504:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.72/0.37 % (665380)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3797632197:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.72/0.37 % (665382)dis+10_1_sil=32000:sp=arity:random_seed=668398602:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.72/0.37 % (665384)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=109402658:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.72/0.37 % TRYING [1]
% 0.72/0.37 % TRYING [2]
% 0.72/0.37 % TRYING [3]
% 0.72/0.37 % TRYING [4]
% 0.72/0.37 % (665385)Instruction limit reached!
% 0.72/0.37 % (665385)------------------------------
% 0.72/0.37 % (665385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.37 % (665385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.37 % (665385)CaDiCaL version: 2.1.3
% 0.72/0.37 % (665385)Termination reason: Instruction limit
% 0.72/0.37 % (665385)Termination phase: Saturation
% 0.72/0.37 % (665385)Time elapsed: 0.050 s
% 0.72/0.37 % (665385)Peak memory usage: 14 MB
% 0.72/0.37 % (665385)Instructions burned: 162 (million)
% 0.72/0.37 % (665393)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4069707560:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.72/0.37 % TRYING [1]
% 0.72/0.37 % TRYING [2]
% 0.72/0.37 % (665382)Instruction limit reached!
% 0.72/0.37 % (665382)------------------------------
% 0.72/0.37 % (665382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.37 % (665382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.37 % (665382)CaDiCaL version: 2.1.3
% 0.72/0.37 % (665382)Termination reason: Instruction limit
% 0.72/0.37 % (665382)Termination phase: Saturation
% 0.72/0.37 % (665382)Time elapsed: 0.063 s
% 0.72/0.37 % (665382)Peak memory usage: 13 MB
% 0.72/0.37 % (665382)Instructions burned: 110 (million)
% 0.72/0.37 % (665383)Instruction limit reached!
% 0.72/0.37 % (665383)------------------------------
% 0.72/0.37 % (665383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.37 % (665383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.37 % (665383)CaDiCaL version: 2.1.3
% 0.72/0.37 % (665383)Termination reason: Instruction limit
% 0.72/0.37 % (665383)Termination phase: Saturation
% 0.72/0.37 % (665383)Time elapsed: 0.064 s
% 0.72/0.37 % (665383)Peak memory usage: 13 MB
% 0.72/0.37 % (665383)Instructions burned: 124 (million)
% 0.72/0.37 % TRYING [3]
% 0.72/0.37 % (665384)Instruction limit reached!
% 0.72/0.37 % (665384)------------------------------
% 0.72/0.37 % (665384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.37 % (665384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.37 % (665384)CaDiCaL version: 2.1.3
% 0.72/0.37 % (665384)Termination reason: Instruction limit
% 0.72/0.37 % (665384)Termination phase: Saturation
% 0.72/0.37 % (665384)Time elapsed: 0.065 s
% 0.72/0.37 % (665384)Peak memory usage: 14 MB
% 0.72/0.37 % (665384)Instructions burned: 132 (million)
% 0.72/0.37 % TRYING [4]
% 0.72/0.37 % (665395)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1864260908:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.72/0.37 % (665396)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1039929335:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.72/0.37 % (665397)ott-21_1_sil=16000:fs=off:random_seed=1354720421:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.72/0.37 % (665396) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-665374-665396"...
% 0.72/0.37 % (665396)...printing done.
% 0.72/0.37 % (665396)Refutation found. Thanks to Tanya!
% 0.72/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.72/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.37 % (665396)------------------------------
% 0.72/0.37 % (665396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.37 % (665396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.37 % (665396)CaDiCaL version: 2.1.3
% 0.72/0.37 % (665396)Termination reason: Refutation
% 0.72/0.37 % (665396)Time elapsed: 0.006 s
% 0.72/0.37 % (665396)Peak memory usage: 13 MB
% 0.72/0.37 % (665396)Instructions burned: 8 (million)
% 0.72/0.37 % (665374)Success in time 0.129 s
% 0.72/0.37 % Vampire exiting
%------------------------------------------------------------------------------