%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN599-1 : 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 : n015.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 02:01:03 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.19s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 36 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
p18(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p18_2) ).
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
fof(f7,negated_conjecture,
p3(f4(f6(c21)),c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( p3(f14(X0),f14(X1))
| ~ p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p19(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| ~ p19(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_23) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( p7(f9(X0,X1),f9(X2,X3))
| ~ p3(X1,X3)
| ~ p7(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
fof(f26,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_26) ).
fof(f27,negated_conjecture,
~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_27) ).
fof(f29,negated_conjecture,
! [X0] :
( p19(f15(f16(X0)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X0)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
| ~ p18(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_29) ).
fof(f48,plain,
! [X0,X1] :
( ~ p7(X1,f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
| ~ p7(X0,f15(f16(c21)))
| ~ p19(X0,X1) ),
inference(resolution,[],[f27,f23]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ p7(X2,f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))
| ~ p19(X0,f8(X1,X2))
| ~ p7(X1,f9(f12(f10(f13(f11(c23)))),f14(c22)))
| ~ p7(X0,f15(f16(c21))) ),
inference(resolution,[],[f48,f26]) ).
fof(f80,plain,
! [X0,X1] :
( ~ p19(X0,f8(X1,f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
| ~ p7(X1,f9(f12(f10(f13(f11(c23)))),f14(c22)))
| ~ p7(X0,f15(f16(c21))) ),
inference(resolution,[],[f61,f3]) ).
fof(f113,plain,
! [X0] :
( ~ p7(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X0)))),f9(f12(f10(f13(f11(c23)))),f14(c22)))
| ~ p7(f15(f16(X0)),f15(f16(c21)))
| ~ p18(X0) ),
inference(resolution,[],[f80,f29]) ).
fof(f191,plain,
! [X0] :
( ~ p7(f15(f16(X0)),f15(f16(c21)))
| ~ p18(X0)
| ~ p3(f14(f4(f6(X0))),f14(c22))
| ~ p7(f12(f10(f13(f11(c23)))),f12(f10(f13(f11(c23))))) ),
inference(resolution,[],[f113,f25]) ).
fof(f193,plain,
! [X0] :
( ~ p3(f14(f4(f6(X0))),f14(c22))
| ~ p18(X0)
| ~ p7(f15(f16(X0)),f15(f16(c21))) ),
inference(forward_subsumption_resolution,[],[f191,f3]) ).
fof(f218,plain,
! [X0] :
( ~ p7(f15(f16(X0)),f15(f16(c21)))
| ~ p18(X0)
| ~ p3(f4(f6(X0)),c22) ),
inference(resolution,[],[f193,f15]) ).
fof(f225,plain,
( ~ p18(c21)
| ~ p3(f4(f6(c21)),c22) ),
inference(resolution,[],[f218,f3]) ).
fof(f227,plain,
~ p3(f4(f6(c21)),c22),
inference(forward_subsumption_resolution,[],[f225,f2]) ).
fof(f228,plain,
$false,
inference(forward_subsumption_resolution,[],[f227,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN599-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n015.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 16:37:34 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 2.72/1.19 % (2763084)Input is clausal, will run a generic CNF schedule.
% 2.72/1.19 % (2763093)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3526515880:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.19 % (2763093)First to succeed.
% 2.72/1.19 % (2763093)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2763084"
% 2.72/1.19 % (2763091)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3588596281:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.19 % (2763092)lrs+10_1_sil=8000:sp=occurrence:random_seed=2835487847:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.19 % (2763090)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1781573612:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.19 % (2763089)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=426070434:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.19 % (2763094)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2398545949:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.19 % (2763095)dis-21_1_sil=8000:lcm=predicate:random_seed=3883993046: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)
% 2.72/1.19 % (2763094)Also succeeded, but the first one will report.
% 2.72/1.19 % (2763095)Also succeeded, but the first one will report.
% 2.72/1.19 % (2763092)Instruction limit reached!
% 2.72/1.19 % (2763092)------------------------------
% 2.72/1.19 % (2763092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.19 % (2763092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.19 % (2763092)CaDiCaL version: 2.1.3
% 2.72/1.19 % (2763092)Termination reason: Instruction limit
% 2.72/1.19 % (2763092)Termination phase: Saturation
% 2.72/1.19 % (2763092)Time elapsed: 0.060 s
% 2.72/1.19 % (2763092)Peak memory usage: 88 MB
% 2.72/1.19 % (2763092)Instructions burned: 107 (million)
% 2.72/1.19 % (2763093)Refutation found. Thanks to Tanya!
% 2.72/1.19 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.19 % (2763093)------------------------------
% 2.72/1.19 % (2763093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.19 % (2763093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.19 % (2763093)CaDiCaL version: 2.1.3
% 2.72/1.19 % (2763093)Termination reason: Refutation
% 2.72/1.19 % (2763093)Time elapsed: 0.004 s
% 2.72/1.19 % (2763093)Peak memory usage: 88 MB
% 2.72/1.19 % (2763093)Instructions burned: 12 (million)
% 2.72/1.19 % (2763093)------------------------------
% 2.72/1.19 % (2763093)------------------------------
% 2.72/1.19 % (2763084)Success in time 0.295 s
% 2.72/1.19 % Vampire exiting
%------------------------------------------------------------------------------