%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN689-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 4.08s 1.31s
% Output : Refutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 11 unt; 2 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 97 ( 51 ~; 44 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
p27(c43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43_is_p27_2) ).
fof(f3,negated_conjecture,
p27(c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c35_is_p27_3) ).
fof(f10,negated_conjecture,
! [X0] : p18(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
fof(f15,negated_conjecture,
~ p26(f17(c43),c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p26_15) ).
fof(f17,negated_conjecture,
! [X0] :
( p27(f17(X0))
| ~ p27(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_17) ).
fof(f18,negated_conjecture,
p28(f20(f19(c43)),f19(c35)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_18) ).
fof(f31,negated_conjecture,
! [X0] :
( p18(f19(f17(X0)),f20(f19(X0)))
| ~ p27(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_31) ).
fof(f37,negated_conjecture,
! [X2,X0,X1] :
( p18(X0,X1)
| ~ p18(X2,X0)
| ~ p18(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_37) ).
fof(f41,negated_conjecture,
! [X0,X1] :
( ~ p28(f19(X0),f19(X1))
| ~ p27(X0)
| ~ p27(X1)
| p26(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_41) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( p28(X0,X1)
| ~ p18(X2,X1)
| ~ p28(X3,X2)
| ~ p18(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_44) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( ~ p28(X2,X0)
| ~ p18(X0,f19(X1))
| ~ p18(X2,f19(X3))
| ~ p27(X3)
| ~ p27(X1)
| p26(X3,X1) ),
inference(resolution,[],[f44,f41]) ).
fof(f64,plain,
! [X0,X1] :
( ~ p18(f20(f19(c43)),f19(X1))
| ~ p18(f19(c35),f19(X0))
| ~ p27(X1)
| ~ p27(X0)
| p26(X1,X0) ),
inference(resolution,[],[f63,f18]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ p18(f19(c35),f19(X0))
| ~ p27(X1)
| ~ p27(X0)
| p26(X1,X0)
| ~ p18(X2,f20(f19(c43)))
| ~ p18(X2,f19(X1)) ),
inference(resolution,[],[f64,f37]) ).
fof(f68,plain,
! [X0,X1] :
( ~ p27(X0)
| ~ p27(c35)
| p26(X0,c35)
| ~ p18(X1,f20(f19(c43)))
| ~ p18(X1,f19(X0)) ),
inference(resolution,[],[f66,f10]) ).
fof(f80,plain,
! [X0,X1] :
( p26(X0,c35)
| ~ p27(X0)
| ~ p18(X1,f20(f19(c43)))
| ~ p18(X1,f19(X0)) ),
inference(forward_subsumption_resolution,[],[f68,f3]) ).
fof(f103,plain,
! [X0] :
( ~ p27(f17(c43))
| ~ p18(X0,f20(f19(c43)))
| ~ p18(X0,f19(f17(c43))) ),
inference(resolution,[],[f80,f15]) ).
fof(f109,definition,
( spl0_3
<=> ! [X0] :
( ~ p18(X0,f20(f19(c43)))
| ~ p18(X0,f19(f17(c43))) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f110,plain,
( ! [X0] :
( ~ p18(X0,f19(f17(c43)))
| ~ p18(X0,f20(f19(c43))) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,definition,
( spl0_4
<=> p27(f17(c43)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f114,plain,
( ~ p27(f17(c43))
| spl0_4 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f103,f112,f109]) ).
fof(f116,plain,
( ~ p27(c43)
| spl0_4 ),
inference(resolution,[],[f114,f17]) ).
fof(f118,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f116,f2]) ).
fof(f119,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f142,plain,
( ~ p18(f19(f17(c43)),f20(f19(c43)))
| ~ spl0_3 ),
inference(resolution,[],[f110,f10]) ).
fof(f148,plain,
( ~ p27(c43)
| ~ spl0_3 ),
inference(resolution,[],[f142,f31]) ).
fof(f150,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f148,f2]) ).
fof(f151,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f150]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f115]) ).
cnf(s3,plain,
spl0_4,
inference(sat_conversion,[],[f119]) ).
cnf(s5,plain,
~ spl0_3,
inference(sat_conversion,[],[f151]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s3,s5]) ).
fof(f152,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN689-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n008.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 16:46:54 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.26 Running first-order theorem proving
% 0.20/0.26 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.08/1.31 % (2389502)Input is clausal, will run a generic CNF schedule.
% 4.08/1.31 % (2389601)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=1095640747:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.08/1.31 % (2389602)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=571846437:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.08/1.31 % (2389603)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2729850663:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.08/1.31 % (2389605)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3619985077:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.08/1.31 % (2389604)lrs+10_1_sil=8000:sp=occurrence:random_seed=1002016758:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.08/1.31 % (2389606)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=623916194:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.08/1.31 % (2389606)First to succeed.
% 4.08/1.31 % (2389606)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2389502"
% 4.08/1.31 % (2389607)dis-21_1_sil=8000:lcm=predicate:random_seed=1501351015: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)
% 4.08/1.31 % (2389607)Also succeeded, but the first one will report.
% 4.08/1.31 % (2389604)Also succeeded, but the first one will report.
% 4.08/1.31 % (2389605)Instruction limit reached!
% 4.08/1.31 % (2389605)------------------------------
% 4.08/1.31 % (2389605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.31 % (2389605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.31 % (2389605)CaDiCaL version: 2.1.3
% 4.08/1.31 % (2389605)Termination reason: Instruction limit
% 4.08/1.31 % (2389605)Time elapsed: 0.123 s
% 4.08/1.31 % (2389605)Peak memory usage: 89 MB
% 4.08/1.31 % (2389605)Instructions burned: 114 (million)
% 4.08/1.31 % (2389606)Refutation found. Thanks to Tanya!
% 4.08/1.31 % SZS status Unsatisfiable for theBenchmark
% 4.08/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 4.08/1.31 % (2389606)------------------------------
% 4.08/1.31 % (2389606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.31 % (2389606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.31 % (2389606)CaDiCaL version: 2.1.3
% 4.08/1.31 % (2389606)Termination reason: Refutation
% 4.08/1.31 % (2389606)Time elapsed: 0.009 s
% 4.08/1.31 % (2389606)Peak memory usage: 89 MB
% 4.08/1.31 % (2389606)Instructions burned: 7 (million)
% 4.08/1.31 % (2389606)------------------------------
% 4.08/1.31 % (2389606)------------------------------
% 4.08/1.31 % (2389502)Success in time 0.499 s
% 4.08/1.31 % Vampire exiting
%------------------------------------------------------------------------------