%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN705-1 : 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 : n005.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 02:01:17 PM UTC 2026
% Result : Unsatisfiable 3.85s 1.35s
% Output : Refutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
fof(f20,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
fof(f51,negated_conjecture,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p47_51) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p47(X2,X3)
| p47(X0,X1)
| ~ p7(X3,X1)
| ~ p4(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_53) ).
fof(f58,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f5(X0,X1),f5(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).
fof(f74,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| p47(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_74) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p47(f20(f22(f24(f26(c56,X0),X2),X3),X4),X1)
| p47(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_75) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p47(X0,X3)
| p47(f5(c48,f13(f16(f18(c50,X0),X1),X2)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_76) ).
fof(f77,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_77) ).
fof(f80,negated_conjecture,
! [X2,X3,X0,X1] : p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_80) ).
fof(f82,plain,
! [X0,X1] :
( ~ p7(c55,X1)
| p47(X0,X1)
| ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0) ),
inference(resolution,[],[f77,f53]) ).
fof(f83,plain,
! [X0] :
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0)
| p47(X0,c55) ),
inference(resolution,[],[f82,f3]) ).
fof(f85,plain,
! [X0,X1] :
( ~ p2(c48,X0)
| p47(f5(X0,X1),c55)
| ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),X1) ),
inference(resolution,[],[f83,f58]) ).
fof(f88,plain,
! [X0] :
( p47(f5(c48,X0),c55)
| ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),X0) ),
inference(resolution,[],[f85,f20]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f13(f16(f18(c50,X0),X1),X2))
| p47(X0,c55) ),
inference(resolution,[],[f88,f74]) ).
fof(f110,plain,
p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55),
inference(resolution,[],[f94,f80]) ).
fof(f115,plain,
p47(c51,c55),
inference(resolution,[],[f110,f75]) ).
fof(f122,plain,
! [X0,X1] : p47(f5(c48,f13(f16(f18(c50,c51),X0),X1)),c55),
inference(resolution,[],[f115,f76]) ).
fof(f136,plain,
$false,
inference(resolution,[],[f122,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN705-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 % Computer : n005.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 16:47:01 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 3.85/1.35 % (921807)Input is clausal, will run a generic CNF schedule.
% 3.85/1.35 % (921813)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4258916985:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.85/1.35 % (921812)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=3535829289:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.85/1.35 % (921815)lrs+10_1_sil=8000:sp=occurrence:random_seed=3363737523:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.85/1.35 % (921814)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3332607643:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.85/1.35 % (921817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3180556425:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.85/1.35 % (921816)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1554940892:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.85/1.35 % (921818)dis-21_1_sil=8000:lcm=predicate:random_seed=1513074907: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)
% 3.85/1.35 % (921817)First to succeed.
% 3.85/1.35 % (921817)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-921807"
% 3.85/1.35 % (921816)Also succeeded, but the first one will report.
% 3.85/1.35 % (921818)Instruction limit reached!
% 3.85/1.35 % (921818)------------------------------
% 3.85/1.35 % (921818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.35 % (921818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.35 % (921818)CaDiCaL version: 2.1.3
% 3.85/1.35 % (921818)Termination reason: Instruction limit
% 3.85/1.35 % (921818)Termination phase: Saturation
% 3.85/1.35 % (921818)Time elapsed: 0.054 s
% 3.85/1.35 % (921818)Peak memory usage: 87 MB
% 3.85/1.35 % (921818)Instructions burned: 118 (million)
% 3.85/1.35 % (921815)Instruction limit reached!
% 3.85/1.35 % (921815)------------------------------
% 3.85/1.35 % (921815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.35 % (921815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.35 % (921815)CaDiCaL version: 2.1.3
% 3.85/1.35 % (921815)Termination reason: Instruction limit
% 3.85/1.35 % (921815)Termination phase: Saturation
% 3.85/1.35 % (921815)Time elapsed: 0.067 s
% 3.85/1.35 % (921815)Peak memory usage: 88 MB
% 3.85/1.35 % (921815)Instructions burned: 108 (million)
% 3.85/1.35 % (921826)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2868572988:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.85/1.35 % (921827)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3938062834:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.85/1.35 % (921827)Also succeeded, but the first one will report.
% 3.85/1.35 % (921817)Refutation found. Thanks to Tanya!
% 3.85/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.85/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.35 % (921817)------------------------------
% 3.85/1.35 % (921817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.35 % (921817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.35 % (921817)CaDiCaL version: 2.1.3
% 3.85/1.35 % (921817)Termination reason: Refutation
% 3.85/1.35 % (921817)Time elapsed: 0.005 s
% 3.85/1.35 % (921817)Peak memory usage: 88 MB
% 3.85/1.35 % (921817)Instructions burned: 7 (million)
% 3.85/1.35 % (921817)------------------------------
% 3.85/1.35 % (921817)------------------------------
% 3.85/1.35 % (921807)Success in time 0.461 s
% 3.85/1.35 % Vampire exiting
%------------------------------------------------------------------------------