%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN615-1 : 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 : n007.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 02:01:05 PM UTC 2026
% Result : Unsatisfiable 4.04s 1.56s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 12 unt; 2 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 114 ( 64 ~; 48 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f5,negated_conjecture,
p2(c26,f3(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_7) ).
fof(f8,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_8) ).
fof(f14,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( p7(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_16) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p7(f8(X0,X1),f8(X2,X3))
| ~ p7(X0,X2)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_23) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( p7(f10(X0,X1),f10(X2,X3))
| ~ p2(X1,X3)
| ~ p7(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_24) ).
fof(f29,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_29) ).
fof(f30,negated_conjecture,
! [X0,X1] :
( ~ p19(X0,f3(f4(f5(c22))))
| ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_30) ).
fof(f33,definition,
( spl0_1
<=> p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f35,plain,
( ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| spl0_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f37,definition,
( spl0_2
<=> ! [X0,X1] :
( ~ p19(X0,f3(f4(f5(c22))))
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p20(X1,f6(f3(f4(f5(c22))),c21)) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f38,plain,
( ! [X0,X1] :
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p19(X0,f3(f4(f5(c22))))
| ~ p20(X1,f6(f3(f4(f5(c22))),c21)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f39,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f30,f37,f33]) ).
fof(f43,plain,
( ! [X0] :
( ~ p2(X0,f14(f16(c28,f17(c21,c27)),c25))
| ~ p2(X0,f3(c22)) )
| spl0_1 ),
inference(resolution,[],[f35,f17]) ).
fof(f51,plain,
( ~ p2(c26,f3(c22))
| spl0_1 ),
inference(resolution,[],[f43,f14]) ).
fof(f53,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f51,f5]) ).
fof(f54,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f63,plain,
( ! [X2,X0,X1] :
( ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p19(X0,f3(f4(f5(c22))))
| ~ p7(X2,c25)
| ~ p7(X2,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27))))) )
| ~ spl0_2 ),
inference(resolution,[],[f38,f16]) ).
fof(f74,plain,
( ! [X0,X1] :
( ~ p19(X0,f3(f4(f5(c22))))
| ~ p7(X1,c25)
| ~ p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) )
| ~ spl0_2 ),
inference(resolution,[],[f63,f8]) ).
fof(f82,plain,
( ! [X0] :
( ~ p7(X0,c25)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) )
| ~ spl0_2 ),
inference(resolution,[],[f74,f7]) ).
fof(f100,plain,
( ! [X0,X1] :
( ~ p7(X1,c25)
| ~ p7(X1,X0)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) )
| ~ spl0_2 ),
inference(resolution,[],[f82,f16]) ).
fof(f149,plain,
( ! [X0] :
( ~ p7(c25,X0)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) )
| ~ spl0_2 ),
inference(resolution,[],[f100,f2]) ).
fof(f202,plain,
( ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ spl0_2 ),
inference(resolution,[],[f149,f29]) ).
fof(f376,plain,
( ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
| ~ spl0_2 ),
inference(resolution,[],[f202,f23]) ).
fof(f378,plain,
( ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f376,f2]) ).
fof(f442,plain,
( ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))
| ~ spl0_2 ),
inference(resolution,[],[f378,f23]) ).
fof(f444,plain,
( ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f442,f2]) ).
fof(f465,plain,
( ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25))
| ~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))
| ~ spl0_2 ),
inference(resolution,[],[f444,f24]) ).
fof(f467,plain,
( ~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f465,f14]) ).
fof(f468,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f467,f2]) ).
fof(f469,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f468]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f39]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f54]) ).
cnf(s12,plain,
~ spl0_2,
inference(sat_conversion,[],[f469]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s12,s2]) ).
fof(f470,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN615-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.26 % Computer : n007.cluster.edu
% 0.13/0.26 % Model : x86_64 x86_64
% 0.13/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.26 % Memory : 8046.5625MB
% 0.13/0.26 % OS : Linux 6.8.0-71-generic
% 0.13/0.26 % CPULimit : 300
% 0.13/0.26 % WCLimit : 300
% 0.13/0.26 % DateTime : Mon Sep 28 16:34:11 UTC 2026
% 0.13/0.26 % CPUTime :
% 0.13/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.31 Running first-order theorem proving
% 0.27/0.31 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
% 4.04/1.56 % (2539157)Input is clausal, will run a generic CNF schedule.
% 4.04/1.56 % (2539172)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=800797508:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.04/1.56 % (2539175)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3992894663:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.04/1.56 % (2539175)First to succeed.
% 4.04/1.56 % (2539175)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2539157"
% 4.04/1.56 % (2539171)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3660280531:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.04/1.56 % (2539170)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=2015270381:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.04/1.56 % (2539176)dis-21_1_sil=8000:lcm=predicate:random_seed=3174409481: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)
% 4.04/1.56 % (2539173)lrs+10_1_sil=8000:sp=occurrence:random_seed=1618720054:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.04/1.56 % (2539174)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2315161687:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.04/1.56 % (2539176)Instruction limit reached!
% 4.04/1.56 % (2539176)------------------------------
% 4.04/1.56 % (2539176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.56 % (2539176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.56 % (2539176)CaDiCaL version: 2.1.3
% 4.04/1.56 % (2539176)Termination reason: Instruction limit
% 4.04/1.56 % (2539176)Termination phase: Saturation
% 4.04/1.56 % (2539176)Time elapsed: 0.101 s
% 4.04/1.56 % (2539176)Peak memory usage: 89 MB
% 4.04/1.56 % (2539176)Instructions burned: 118 (million)
% 4.04/1.56 % (2539173)Instruction limit reached!
% 4.04/1.56 % (2539173)------------------------------
% 4.04/1.56 % (2539173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.56 % (2539173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.56 % (2539173)CaDiCaL version: 2.1.3
% 4.04/1.56 % (2539173)Termination reason: Instruction limit
% 4.04/1.56 % (2539173)Termination phase: Saturation
% 4.04/1.56 % (2539173)Time elapsed: 0.105 s
% 4.04/1.56 % (2539173)Peak memory usage: 89 MB
% 4.04/1.56 % (2539173)Instructions burned: 107 (million)
% 4.04/1.56 % (2539174)Instruction limit reached!
% 4.04/1.56 % (2539174)------------------------------
% 4.04/1.56 % (2539174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.56 % (2539174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.56 % (2539174)CaDiCaL version: 2.1.3
% 4.04/1.56 % (2539174)Termination reason: Instruction limit
% 4.04/1.56 % (2539174)Termination phase: Saturation
% 4.04/1.56 % (2539174)Time elapsed: 0.118 s
% 4.04/1.56 % (2539174)Peak memory usage: 88 MB
% 4.04/1.56 % (2539174)Instructions burned: 114 (million)
% 4.04/1.56 % (2539175)Refutation found. Thanks to Tanya!
% 4.04/1.56 % SZS status Unsatisfiable for theBenchmark
% 4.04/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 4.04/1.56 % (2539175)------------------------------
% 4.04/1.56 % (2539175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.56 % (2539175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.56 % (2539175)CaDiCaL version: 2.1.3
% 4.04/1.56 % (2539175)Termination reason: Refutation
% 4.04/1.56 % (2539175)Time elapsed: 0.028 s
% 4.04/1.56 % (2539175)Peak memory usage: 89 MB
% 4.04/1.56 % (2539175)Instructions burned: 62 (million)
% 4.04/1.56 % (2539175)------------------------------
% 4.04/1.56 % (2539175)------------------------------
% 4.04/1.56 % (2539157)Success in time 0.442 s
% 4.04/1.56 % Vampire exiting
%------------------------------------------------------------------------------