%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC039-1 : 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 : n012.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 01:04:24 PM UTC 2026
% Result : Unsatisfiable 0.06s 0.38s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 65 ( 16 unt; 6 def)
% Number of atoms : 152 ( 43 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 159 ( 72 ~; 81 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f218,negated_conjecture,
( ssList(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f219,negated_conjecture,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f222,negated_conjecture,
( app(app(sk6,sk3),sk7) = sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f223,plain,
( sk4 = app(app(sk6,sk3),sk7)
| nil = sk3 ),
inference(reorient_equations,[],[f222]) ).
fof(f226,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f266,plain,
! [X0,X1] :
( app(X0,X1) != sk4
| ~ ssList(X1)
| ~ ssList(X0)
| sk4 = X0 ),
inference(definition_unfolding,[],[f122,f226,f226]) ).
fof(f267,plain,
! [X0,X1] :
( app(X0,X1) != sk4
| ~ ssList(X1)
| ~ ssList(X0)
| sk4 = X1 ),
inference(definition_unfolding,[],[f124,f226,f226]) ).
fof(f281,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f226,f206]) ).
fof(f290,plain,
( ssList(sk6)
| sk3 = sk4 ),
inference(definition_unfolding,[],[f218,f226]) ).
fof(f291,plain,
( ssList(sk7)
| sk3 = sk4 ),
inference(definition_unfolding,[],[f219,f226]) ).
fof(f293,plain,
( sk4 = app(app(sk6,sk3),sk7)
| sk3 = sk4 ),
inference(definition_unfolding,[],[f223,f226]) ).
fof(f402,definition,
( spl0_1
<=> sk3 = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f403,plain,
( sk3 != sk4
| spl0_1 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f414,definition,
( spl0_4
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f416,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f417,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f293,f414,f402]) ).
fof(f424,definition,
( spl0_6
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f426,plain,
( ssList(sk7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f427,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f291,f424,f402]) ).
fof(f429,definition,
( spl0_7
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f431,plain,
( ssList(sk6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f432,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f290,f429,f402]) ).
fof(f438,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f281,f402]) ).
fof(f558,plain,
( sk4 != sk4
| ~ ssList(sk7)
| ~ ssList(app(sk6,sk3))
| sk4 = app(sk6,sk3)
| ~ spl0_4 ),
inference(superposition,[],[f266,f416]) ).
fof(f559,plain,
( ~ ssList(sk7)
| ~ ssList(app(sk6,sk3))
| sk4 = app(sk6,sk3)
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f558]) ).
fof(f560,plain,
( ~ ssList(app(sk6,sk3))
| sk4 = app(sk6,sk3)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f559,f426]) ).
fof(f562,definition,
( spl0_24
<=> sk4 = app(sk6,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f564,plain,
( sk4 = app(sk6,sk3)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,definition,
( spl0_25
<=> ssList(app(sk6,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f568,plain,
( ~ ssList(app(sk6,sk3))
| spl0_25 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f569,plain,
( spl0_24
| ~ spl0_25
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f560,f424,f414,f566,f562]) ).
fof(f895,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| spl0_25 ),
inference(resolution,[],[f85,f568]) ).
fof(f909,plain,
( ~ ssList(sk3)
| ~ spl0_7
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f895,f431]) ).
fof(f910,plain,
( $false
| ~ spl0_7
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f909,f202]) ).
fof(f911,plain,
( ~ spl0_7
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f910]) ).
fof(f1178,plain,
( sk4 != sk4
| ~ ssList(sk3)
| ~ ssList(sk6)
| sk3 = sk4
| ~ spl0_24 ),
inference(superposition,[],[f267,f564]) ).
fof(f1181,plain,
( ~ ssList(sk3)
| ~ ssList(sk6)
| sk3 = sk4
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1178]) ).
fof(f1183,plain,
( ~ ssList(sk6)
| sk3 = sk4
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1181,f202]) ).
fof(f1187,plain,
( sk3 = sk4
| ~ spl0_7
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1183,f431]) ).
fof(f1191,plain,
( $false
| spl0_1
| ~ spl0_7
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1187,f403]) ).
fof(f1192,plain,
( spl0_1
| ~ spl0_7
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f417]) ).
cnf(s5,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f427]) ).
cnf(s6,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f432]) ).
cnf(s8,plain,
~ spl0_1,
inference(sat_conversion,[],[f438]) ).
cnf(s25,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f569]) ).
cnf(s38,plain,
( ~ spl0_7
| spl0_25 ),
inference(sat_conversion,[],[f911]) ).
cnf(s49,plain,
( spl0_1
| ~ spl0_7
| ~ spl0_24 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s55,plain,
spl0_7,
inference(rat,[],[s6,s8]) ).
cnf(s56,plain,
~ spl0_24,
inference(rat,[],[s49,s8,s55]) ).
cnf(s57,plain,
spl0_25,
inference(rat,[],[s38,s55]) ).
cnf(s62,plain,
spl0_6,
inference(rat,[],[s5,s8]) ).
cnf(s63,plain,
~ spl0_4,
inference(rat,[],[s25,s57,s56,s62]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s3,s63,s8]) ).
fof(f1193,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Mon Sep 28 07:33:19 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.33 Running first-order model finding
% 0.06/0.33 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
% 0.06/0.38 % (3215531)Will run a generic schedule for satisfiability detection.
% 0.06/0.38 % (3215537)% WARNING: option uhcvi not known.
% 0.06/0.38 % (3215536)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=352352075_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.38 % (3215538)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1711660729:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.38 % (3215537)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2689281671:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.38 % (3215539)dis+10_1_sil=32000:sp=arity:random_seed=3312009843:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.38 % (3215540)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=564185621:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.38 % (3215541)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1873080762:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.38 % (3215542)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4109237952:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.38 % TRYING [1]
% 0.06/0.38 % TRYING [2]
% 0.06/0.38 % TRYING [3]
% 0.06/0.38 % (3215537) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3215531-3215537"...
% 0.06/0.38 % (3215539) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3215531-3215539"...
% 0.06/0.38 % (3215537)...printing done.
% 0.06/0.38 % (3215539)...printing done.
% 0.06/0.38 % (3215537)Refutation found. Thanks to Tanya!
% 0.06/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.06/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.38 % (3215537)------------------------------
% 0.06/0.38 % (3215537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.38 % (3215537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.38 % (3215537)CaDiCaL version: 2.1.3
% 0.06/0.38 % (3215537)Termination reason: Refutation
% 0.06/0.38 % (3215537)Time elapsed: 0.013 s
% 0.06/0.38 % (3215537)Peak memory usage: 13 MB
% 0.06/0.38 % (3215537)Instructions burned: 33 (million)
% 0.06/0.38 % (3215531)Success in time 0.042 s
% 0.06/0.38 % Vampire exiting
%------------------------------------------------------------------------------