%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC407-1 : 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 : n010.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 01:05:55 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.34s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 18 unt; 5 def)
% Number of atoms : 141 ( 22 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 143 ( 59 ~; 79 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 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(f214,negated_conjecture,
( cons(sk6,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f215,plain,
( sk3 = cons(sk6,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f214]) ).
fof(f216,negated_conjecture,
( memberP(sk4,sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f219,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f220,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f208,f204]) ).
fof(f279,plain,
! [X0] :
( ~ memberP(nil,X0)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ssItem(X0)
| ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f358,plain,
~ ssItem(sk5),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f360,plain,
( ~ ssItem(sk6)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f368,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f370,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f372,definition,
( spl0_2
<=> memberP(sk4,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f374,plain,
( memberP(sk4,sk6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f375,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f216,f372,f368]) ).
fof(f377,definition,
( spl0_3
<=> sk3 = cons(sk6,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f379,plain,
( sk3 = cons(sk6,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f380,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f215,f377,f368]) ).
fof(f388,definition,
( spl0_5
<=> ssItem(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f390,plain,
( ~ ssItem(sk6)
| spl0_5 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f391,plain,
( spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f360,f388,f368]) ).
fof(f398,definition,
( spl0_7
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f399,plain,
( ssList(nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f434,plain,
spl0_7,
inference(avatar_split_clause,[],[f8,f398]) ).
fof(f718,plain,
( memberP(nil,sk5)
| ~ spl0_1 ),
inference(superposition,[],[f219,f370]) ).
fof(f728,plain,
( ssItem(sk5)
| ~ spl0_1 ),
inference(resolution,[],[f279,f718]) ).
fof(f729,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f728,f358]) ).
fof(f730,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f729]) ).
fof(f1820,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ssItem(sk6)
| ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f339,f379]) ).
fof(f1825,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ssItem(sk6)
| ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1820,f399]) ).
fof(f1830,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1825,f390]) ).
fof(f1835,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ssItem(X0)
| sk6 = X0 )
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1830,f279]) ).
fof(f3692,plain,
( ssItem(sk5)
| sk5 = sk6
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f1835,f219]) ).
fof(f3694,plain,
( sk5 = sk6
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f3692,f358]) ).
fof(f3699,plain,
( ~ memberP(sk4,sk6)
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f220,f3694]) ).
fof(f3704,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f3699,f374]) ).
fof(f3705,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3704]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f375]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f380]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f391]) ).
cnf(s16,plain,
spl0_7,
inference(sat_conversion,[],[f434]) ).
cnf(s23,plain,
~ spl0_1,
inference(sat_conversion,[],[f730]) ).
cnf(s60,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f3705]) ).
cnf(s71,plain,
~ spl0_5,
inference(rat,[],[s5,s23]) ).
cnf(s72,plain,
spl0_3,
inference(rat,[],[s2,s23]) ).
cnf(s73,plain,
~ spl0_2,
inference(rat,[],[s60,s16,s71,s72]) ).
cnf(s75,plain,
$false,
inference(rat,[],[s1,s73,s23]) ).
fof(f3706,plain,
$false,
inference(avatar_sat_refutation,[],[s75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC407-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n010.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:31:33 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.22 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
% 0.17/0.34 % (1798703)Will run a generic schedule for satisfiability detection.
% 0.17/0.34 % (1798712)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1399048282:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.34 % (1798709)% WARNING: option uhcvi not known.
% 0.17/0.34 % (1798708)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1103596655_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.34 % (1798710)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1130779758:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.34 % (1798709)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3284509307:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.34 % (1798711)dis+10_1_sil=32000:sp=arity:random_seed=956536897:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.34 % (1798714)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3036014064:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.34 % (1798713)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3934990029:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.34 % TRYING [1]
% 0.17/0.34 % TRYING [2]
% 0.17/0.34 % TRYING [3]
% 0.17/0.34 % (1798712)Instruction limit reached!
% 0.17/0.34 % (1798712)------------------------------
% 0.17/0.34 % (1798712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.34 % (1798712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.34 % (1798712)CaDiCaL version: 2.1.3
% 0.17/0.34 % (1798712)Termination reason: Instruction limit
% 0.17/0.34 % (1798712)Termination phase: Saturation
% 0.17/0.34 % (1798712)Time elapsed: 0.033 s
% 0.17/0.34 % (1798712)Peak memory usage: 13 MB
% 0.17/0.34 % (1798712)Instructions burned: 121 (million)
% 0.17/0.34 % (1798722)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=723720279:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.34 % TRYING [4]
% 0.17/0.34 % TRYING [1]
% 0.17/0.34 % TRYING [2]
% 0.17/0.34 % TRYING [3]
% 0.17/0.34 % TRYING [4]
% 0.17/0.34 % (1798711)Instruction limit reached!
% 0.17/0.34 % (1798711)------------------------------
% 0.17/0.34 % (1798711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.34 % (1798711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.34 % (1798711)CaDiCaL version: 2.1.3
% 0.17/0.34 % (1798711)Termination reason: Instruction limit
% 0.17/0.34 % (1798711)Termination phase: Saturation
% 0.17/0.34 % (1798711)Time elapsed: 0.058 s
% 0.17/0.34 % (1798711)Peak memory usage: 13 MB
% 0.17/0.34 % (1798711)Instructions burned: 103 (million)
% 0.17/0.34 % (1798713)Instruction limit reached!
% 0.17/0.34 % (1798713)------------------------------
% 0.17/0.34 % (1798713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.34 % (1798713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.34 % (1798713)CaDiCaL version: 2.1.3
% 0.17/0.34 % (1798713)Termination reason: Instruction limit
% 0.17/0.34 % (1798713)Termination phase: Saturation
% 0.17/0.34 % (1798713)Time elapsed: 0.069 s
% 0.17/0.34 % (1798713)Peak memory usage: 14 MB
% 0.17/0.34 % (1798713)Instructions burned: 132 (million)
% 0.17/0.34 % (1798709) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1798703-1798709"...
% 0.17/0.34 % (1798709)...printing done.
% 0.17/0.34 % (1798709)Refutation found. Thanks to Tanya!
% 0.17/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.34 % (1798709)------------------------------
% 0.17/0.34 % (1798709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.34 % (1798709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.34 % (1798709)CaDiCaL version: 2.1.3
% 0.17/0.34 % (1798709)Termination reason: Refutation
% 0.17/0.34 % (1798709)Time elapsed: 0.075 s
% 0.17/0.34 % (1798709)Peak memory usage: 14 MB
% 0.17/0.34 % (1798709)Instructions burned: 120 (million)
% 0.17/0.34 % (1798703)Success in time 0.117 s
% 0.17/0.34 % Vampire exiting
%------------------------------------------------------------------------------