%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 02:01:15 PM UTC 2026
% Result : Unsatisfiable 3.41s 1.17s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 50 ( 17 unt; 6 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 104 ( 49 ~; 49 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p27(c34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34_is_p27_1) ).
fof(f2,negated_conjecture,
p27(c43),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43_is_p27_2) ).
fof(f10,negated_conjecture,
! [X0] : p18(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_10) ).
fof(f16,negated_conjecture,
~ p25(f17(c43),c34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_16) ).
fof(f17,negated_conjecture,
! [X0] :
( p27(f17(X0))
| ~ p27(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_17) ).
fof(f18,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_18) ).
fof(f31,negated_conjecture,
! [X0] :
( p18(f19(f17(X0)),f20(f19(X0)))
| ~ p27(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_31) ).
fof(f37,negated_conjecture,
! [X2,X0,X1] :
( p18(X0,X1)
| ~ p18(X2,X0)
| ~ p18(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_37) ).
fof(f40,negated_conjecture,
! [X0,X1] :
( ~ p28(f19(X0),f19(X1))
| ~ p27(X0)
| ~ p27(X1)
| p25(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_40) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( p28(X0,X1)
| ~ p18(X2,X1)
| ~ p28(X3,X2)
| ~ p18(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_44) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( ~ p28(X2,X0)
| ~ p18(X0,f19(X1))
| ~ p18(X2,f19(X3))
| ~ p27(X3)
| ~ p27(X1)
| p25(X3,X1) ),
inference(resolution,[],[f44,f40]) ).
fof(f119,plain,
! [X0,X1] :
( p25(X1,X0)
| ~ p18(f20(f19(c43)),f19(X1))
| ~ p27(X1)
| ~ p27(X0)
| ~ p18(f19(c34),f19(X0)) ),
inference(resolution,[],[f70,f18]) ).
fof(f141,plain,
( ~ p18(f20(f19(c43)),f19(f17(c43)))
| ~ p27(f17(c43))
| ~ p27(c34)
| ~ p18(f19(c34),f19(c34)) ),
inference(resolution,[],[f119,f16]) ).
fof(f159,definition,
( spl0_5
<=> p18(f19(c34),f19(c34)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f160,plain,
( ~ p18(f19(c34),f19(c34))
| spl0_5 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,definition,
( spl0_6
<=> p27(c34) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f163,plain,
( ~ p27(c34)
| spl0_6 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,definition,
( spl0_7
<=> p27(f17(c43)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f166,plain,
( ~ p27(f17(c43))
| spl0_7 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,definition,
( spl0_8
<=> p18(f20(f19(c43)),f19(f17(c43))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f169,plain,
( ~ p18(f20(f19(c43)),f19(f17(c43)))
| spl0_8 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f170,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f141,f168,f165,f162,f159]) ).
fof(f171,plain,
( ! [X0] :
( ~ p18(X0,f20(f19(c43)))
| ~ p18(X0,f19(f17(c43))) )
| spl0_8 ),
inference(resolution,[],[f169,f37]) ).
fof(f175,plain,
( ~ p18(f19(f17(c43)),f19(f17(c43)))
| ~ p27(c43)
| spl0_8 ),
inference(resolution,[],[f171,f31]) ).
fof(f178,definition,
( spl0_9
<=> p27(c43) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f179,plain,
( ~ p27(c43)
| spl0_9 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,definition,
( spl0_10
<=> p18(f19(f17(c43)),f19(f17(c43))) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f182,plain,
( ~ p18(f19(f17(c43)),f19(f17(c43)))
| spl0_10 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f183,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f175,f168,f181,f178]) ).
fof(f191,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f163,f1]) ).
fof(f193,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f195,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f179,f2]) ).
fof(f197,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f195]) ).
fof(f210,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f182,f10]) ).
fof(f213,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f215,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f160,f10]) ).
fof(f218,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f215]) ).
fof(f219,plain,
( ~ p27(c43)
| spl0_7 ),
inference(resolution,[],[f166,f17]) ).
fof(f221,plain,
( ~ spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f219,f165,f178]) ).
cnf(s3,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f170]) ).
cnf(s4,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f183]) ).
cnf(s6,plain,
spl0_6,
inference(sat_conversion,[],[f193]) ).
cnf(s7,plain,
spl0_9,
inference(sat_conversion,[],[f197]) ).
cnf(s9,plain,
spl0_10,
inference(sat_conversion,[],[f213]) ).
cnf(s10,plain,
spl0_5,
inference(sat_conversion,[],[f218]) ).
cnf(s11,plain,
( spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f221]) ).
cnf(s12,plain,
spl0_7,
inference(rat,[],[s11,s7]) ).
cnf(s14,plain,
spl0_8,
inference(rat,[],[s4,s9,s7]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s3,s14,s12,s6,s10]) ).
fof(f222,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n026.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:48:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.41/1.17 % (4009215)Input is clausal, will run a generic CNF schedule.
% 3.41/1.17 % (4009220)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3859011859:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.41/1.17 % (4009224)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3665967934:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.41/1.17 % (4009226)dis-21_1_sil=8000:lcm=predicate:random_seed=973697774:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.41/1.17 % (4009225)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2238105237:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.41/1.17 % (4009221)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2464380614:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.41/1.17 % (4009223)lrs+10_1_sil=8000:sp=occurrence:random_seed=1002333548:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.41/1.17 % (4009222)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1310145618:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.41/1.17 % (4009226)First to succeed.
% 3.41/1.17 % (4009225)Also succeeded, but the first one will report.
% 3.41/1.17 % (4009226)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4009215"
% 3.41/1.17 % (4009223)Also succeeded, but the first one will report.
% 3.41/1.17 % (4009224)Also succeeded, but the first one will report.
% 3.41/1.17 % (4009226)Refutation found. Thanks to Tanya!
% 3.41/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.41/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.17 % (4009226)------------------------------
% 3.41/1.17 % (4009226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.17 % (4009226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.17 % (4009226)CaDiCaL version: 2.1.3
% 3.41/1.17 % (4009226)Termination reason: Refutation
% 3.41/1.17 % (4009226)Time elapsed: 0.006 s
% 3.41/1.17 % (4009226)Peak memory usage: 89 MB
% 3.41/1.17 % (4009226)Instructions burned: 6 (million)
% 3.41/1.17 % (4009226)------------------------------
% 3.41/1.17 % (4009226)------------------------------
% 3.41/1.17 % (4009215)Success in time 0.413 s
% 3.41/1.17 % Vampire exiting
%------------------------------------------------------------------------------