%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN620-1 : 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 : n017.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 02:01:06 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.17s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 11 unt; 2 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 28 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
fof(f5,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_5) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( p11(f12(X0),f12(X1))
| ~ p10(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_18) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( p10(X0,X1)
| ~ p10(X2,X0)
| ~ p10(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_19) ).
fof(f24,negated_conjecture,
! [X0] : p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_24) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( p20(X0,X1)
| ~ p11(X2,X1)
| ~ p20(X3,X2)
| ~ p11(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_28) ).
fof(f32,negated_conjecture,
! [X0] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_32) ).
fof(f33,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_33) ).
fof(f55,plain,
! [X0,X1] :
( ~ p20(X1,X0)
| ~ p11(X0,f12(f13(f6(c22),c27)))
| ~ p11(X1,f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(resolution,[],[f33,f28]) ).
fof(f67,plain,
! [X0] :
( ~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27)))
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(resolution,[],[f55,f32]) ).
fof(f69,definition,
( spl0_1
<=> p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X0] : ~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X0] : ~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f67,f72,f69]) ).
fof(f76,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f70,f5]) ).
fof(f79,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f80,plain,
( ! [X0] : ~ p10(f13(f6(c24),X0),f13(f6(c22),c27))
| ~ spl0_2 ),
inference(resolution,[],[f73,f18]) ).
fof(f83,plain,
( ! [X0,X1] :
( ~ p10(X0,f13(f6(c24),X1))
| ~ p10(X0,f13(f6(c22),c27)) )
| ~ spl0_2 ),
inference(resolution,[],[f80,f19]) ).
fof(f104,plain,
( ! [X0] : ~ p10(f13(f6(c22),X0),f13(f6(c22),c27))
| ~ spl0_2 ),
inference(resolution,[],[f83,f24]) ).
fof(f126,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f104,f1]) ).
fof(f128,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f126]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f74]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f79]) ).
cnf(s5,plain,
~ spl0_2,
inference(sat_conversion,[],[f128]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s5,s2]) ).
fof(f135,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:33:06 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.73/1.17 % (3688308)Input is clausal, will run a generic CNF schedule.
% 2.73/1.17 % (3688319)dis-21_1_sil=8000:lcm=predicate:random_seed=2189198509: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)
% 2.73/1.17 % (3688319)First to succeed.
% 2.73/1.17 % (3688319)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3688308"
% 2.73/1.17 % (3688313)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=62906539:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.17 % (3688315)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3580243922:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.17 % (3688317)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3788386381:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.17 % (3688314)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2992382537:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.17 % (3688316)lrs+10_1_sil=8000:sp=occurrence:random_seed=3889596621:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.17 % (3688317)Also succeeded, but the first one will report.
% 2.73/1.17 % (3688318)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2107429430:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.17 % (3688318)Also succeeded, but the first one will report.
% 2.73/1.17 % (3688316)Instruction limit reached!
% 2.73/1.17 % (3688316)------------------------------
% 2.73/1.17 % (3688316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.17 % (3688316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.17 % (3688316)CaDiCaL version: 2.1.3
% 2.73/1.17 % (3688316)Termination reason: Instruction limit
% 2.73/1.17 % (3688316)Termination phase: Saturation
% 2.73/1.17 % (3688316)Time elapsed: 0.066 s
% 2.73/1.17 % (3688316)Peak memory usage: 89 MB
% 2.73/1.17 % (3688316)Instructions burned: 107 (million)
% 2.73/1.17 % (3688319)Refutation found. Thanks to Tanya!
% 2.73/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.17 % (3688319)------------------------------
% 2.73/1.17 % (3688319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.17 % (3688319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.17 % (3688319)CaDiCaL version: 2.1.3
% 2.73/1.17 % (3688319)Termination reason: Refutation
% 2.73/1.17 % (3688319)Time elapsed: 0.003 s
% 2.73/1.17 % (3688319)Peak memory usage: 89 MB
% 2.73/1.17 % (3688319)Instructions burned: 4 (million)
% 2.73/1.17 % (3688319)------------------------------
% 2.73/1.17 % (3688319)------------------------------
% 2.73/1.17 % (3688308)Success in time 0.292 s
% 2.73/1.17 % Vampire exiting
%------------------------------------------------------------------------------