%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN580-1 : 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 : n019.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 02:01:00 PM UTC 2026
% Result : Unsatisfiable 3.49s 1.25s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 43 ( 13 unt; 3 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 143 ( 77 ~; 63 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f3,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p11(c15,c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_5) ).
fof(f6,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
fof(f7,negated_conjecture,
p2(c14,f3(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
~ p8(c12,c13,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_8) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
! [X0,X1] :
( p8(c12,X0,X1)
| ~ p11(X1,c16)
| ~ p9(c12,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_16) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( p8(c12,X1,f3(X0))
| p9(c12,f6(X0))
| ~ p9(c12,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_18) ).
fof(f22,negated_conjecture,
! [X0,X1] :
( p8(c12,X0,f3(X1))
| ~ p9(c12,X0)
| ~ p8(c12,f6(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_22) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( p8(X0,X1,X2)
| ~ p2(X3,X2)
| ~ p4(X4,X1)
| ~ p7(X5,X0)
| ~ p8(X5,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_23) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ p8(X2,X1,X0)
| ~ p4(X1,c13)
| ~ p7(X2,c12)
| ~ p2(X0,c14) ),
inference(resolution,[],[f23,f8]) ).
fof(f74,plain,
! [X0,X1] :
( ~ p4(X0,c13)
| ~ p7(c12,c12)
| ~ p2(f3(X1),c14)
| ~ p9(c12,X0)
| ~ p8(c12,f6(X1),X1) ),
inference(resolution,[],[f43,f22]) ).
fof(f75,plain,
! [X0,X1] :
( ~ p4(X0,c13)
| ~ p7(c12,c12)
| ~ p2(f3(X1),c14)
| p9(c12,f6(X1))
| ~ p9(c12,X0) ),
inference(resolution,[],[f43,f18]) ).
fof(f77,plain,
! [X0,X1] :
( ~ p4(X0,c13)
| ~ p2(f3(X1),c14)
| p9(c12,f6(X1))
| ~ p9(c12,X0) ),
inference(forward_subsumption_resolution,[],[f75,f2]) ).
fof(f78,plain,
! [X0,X1] :
( ~ p4(X0,c13)
| ~ p2(f3(X1),c14)
| ~ p9(c12,X0)
| ~ p8(c12,f6(X1),X1) ),
inference(forward_subsumption_resolution,[],[f74,f2]) ).
fof(f84,definition,
( spl0_1
<=> ! [X1] :
( ~ p2(f3(X1),c14)
| p9(c12,f6(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f85,plain,
( ! [X1] :
( p9(c12,f6(X1))
| ~ p2(f3(X1),c14) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_2
<=> ! [X0] :
( ~ p4(X0,c13)
| ~ p9(c12,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f88,plain,
( ! [X0] :
( ~ p9(c12,X0)
| ~ p4(X0,c13) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f77,f87,f84]) ).
fof(f91,definition,
( spl0_3
<=> ! [X1] :
( ~ p2(f3(X1),c14)
| ~ p8(c12,f6(X1),X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f92,plain,
( ! [X1] :
( ~ p8(c12,f6(X1),X1)
| ~ p2(f3(X1),c14) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f78,f87,f91]) ).
fof(f122,plain,
( ~ p4(c13,c13)
| ~ spl0_2 ),
inference(resolution,[],[f88,f6]) ).
fof(f127,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f122,f3]) ).
fof(f128,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f140,plain,
( ! [X0] :
( ~ p2(f3(X0),c14)
| ~ p11(X0,c16)
| ~ p9(c12,f6(X0)) )
| ~ spl0_3 ),
inference(resolution,[],[f92,f16]) ).
fof(f146,plain,
( ! [X0] :
( ~ p2(f3(X0),c14)
| ~ p11(X0,c16) )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f140,f85]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ p2(X1,f3(X0))
| ~ p11(X0,c16)
| ~ p2(X1,c14) )
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f146,f15]) ).
fof(f360,plain,
( ~ p11(c15,c16)
| ~ p2(c14,c14)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f149,f7]) ).
fof(f362,plain,
( ~ p2(c14,c14)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f360,f5]) ).
fof(f363,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f362,f4]) ).
fof(f364,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f363]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f89]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f93]) ).
cnf(s8,plain,
~ spl0_2,
inference(sat_conversion,[],[f128]) ).
cnf(s29,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f364]) ).
cnf(s52,plain,
spl0_3,
inference(rat,[],[s2,s8]) ).
cnf(s53,plain,
~ spl0_1,
inference(rat,[],[s29,s52]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s1,s8,s53]) ).
fof(f365,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN580-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:30:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.49/1.25 % (4141193)Input is clausal, will run a generic CNF schedule.
% 3.49/1.25 % (4141200)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1328871134:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.25 % (4141198)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=2678482716:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.25 % (4141203)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1641316898:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.25 % (4141204)dis-21_1_sil=8000:lcm=predicate:random_seed=3062649666: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)
% 3.49/1.25 % (4141201)lrs+10_1_sil=8000:sp=occurrence:random_seed=128945855:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.25 % (4141199)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=26505582:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.25 % (4141202)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=407440166:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.25 % (4141202)First to succeed.
% 3.49/1.25 % (4141202)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4141193"
% 3.49/1.25 % (4141204)Also succeeded, but the first one will report.
% 3.49/1.25 % (4141203)Also succeeded, but the first one will report.
% 3.49/1.25 % (4141201)Also succeeded, but the first one will report.
% 3.49/1.25 % (4141202)Refutation found. Thanks to Tanya!
% 3.49/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.25 % (4141202)------------------------------
% 3.49/1.25 % (4141202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.25 % (4141202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.25 % (4141202)CaDiCaL version: 2.1.3
% 3.49/1.25 % (4141202)Termination reason: Refutation
% 3.49/1.25 % (4141202)Time elapsed: 0.008 s
% 3.49/1.25 % (4141202)Peak memory usage: 89 MB
% 3.49/1.25 % (4141202)Instructions burned: 10 (million)
% 3.49/1.25 % (4141202)------------------------------
% 3.49/1.25 % (4141202)------------------------------
% 3.49/1.25 % (4141193)Success in time 0.408 s
% 3.49/1.25 % Vampire exiting
%------------------------------------------------------------------------------