%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN643-1 : 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 02:01:09 PM UTC 2026
% Result : Unsatisfiable 3.68s 1.21s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 23 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_1) ).
fof(f2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_2) ).
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f10,negated_conjecture,
p4(f5(f3(c18)),f5(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_10) ).
fof(f11,negated_conjecture,
p4(f5(f3(c19)),f5(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_11) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_24) ).
fof(f28,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_28) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f9(X0,X1),f9(X2,X3))
| ~ p4(X1,X3)
| ~ p4(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_35) ).
fof(f37,negated_conjecture,
! [X0,X1] :
( p4(f5(f10(X0,X1)),f9(f5(X0),f5(X1)))
| ~ p15(X0)
| ~ p15(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_37) ).
fof(f43,plain,
! [X0] :
( ~ p4(X0,f5(f10(f3(c19),f3(c18))))
| ~ p4(X0,f9(f5(c19),f5(c18))) ),
inference(resolution,[],[f28,f24]) ).
fof(f45,plain,
! [X0,X1] :
( ~ p4(X1,f5(f10(f3(c19),f3(c18))))
| ~ p4(X1,X0)
| ~ p4(X0,f9(f5(c19),f5(c18))) ),
inference(resolution,[],[f43,f24]) ).
fof(f68,plain,
! [X0] :
( ~ p4(f5(f10(f3(c19),f3(c18))),X0)
| ~ p4(X0,f9(f5(c19),f5(c18))) ),
inference(resolution,[],[f45,f5]) ).
fof(f75,plain,
( ~ p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18)))
| ~ p15(f3(c19))
| ~ p15(f3(c18)) ),
inference(resolution,[],[f68,f37]) ).
fof(f78,plain,
( ~ p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18)))
| ~ p15(f3(c18)) ),
inference(forward_subsumption_resolution,[],[f75,f1]) ).
fof(f79,plain,
~ p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18))),
inference(forward_subsumption_resolution,[],[f78,f2]) ).
fof(f93,plain,
( ~ p4(f5(f3(c18)),f5(c18))
| ~ p4(f5(f3(c19)),f5(c19)) ),
inference(resolution,[],[f79,f35]) ).
fof(f95,plain,
~ p4(f5(f3(c19)),f5(c19)),
inference(forward_subsumption_resolution,[],[f93,f10]) ).
fof(f96,plain,
$false,
inference(forward_subsumption_resolution,[],[f95,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN643-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:34:36 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.68/1.21 % (3689611)Input is clausal, will run a generic CNF schedule.
% 3.68/1.21 % (3689617)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=687479750:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.68/1.21 % (3689621)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=236664408:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.68/1.21 % (3689622)dis-21_1_sil=8000:lcm=predicate:random_seed=1522283098: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)
% 3.68/1.21 % (3689618)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1254279852:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.68/1.21 % (3689616)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=1408117789:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.68/1.21 % (3689619)lrs+10_1_sil=8000:sp=occurrence:random_seed=4236831121:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.68/1.21 % (3689620)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1577218405:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.68/1.21 % (3689621)First to succeed.
% 3.68/1.21 % (3689621)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3689611"
% 3.68/1.21 % (3689620)Also succeeded, but the first one will report.
% 3.68/1.21 % (3689622)Also succeeded, but the first one will report.
% 3.68/1.21 % (3689619)Instruction limit reached!
% 3.68/1.21 % (3689619)------------------------------
% 3.68/1.21 % (3689619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.21 % (3689619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.21 % (3689619)CaDiCaL version: 2.1.3
% 3.68/1.21 % (3689619)Termination reason: Instruction limit
% 3.68/1.21 % (3689619)Termination phase: Saturation
% 3.68/1.21 % (3689619)Time elapsed: 0.068 s
% 3.68/1.21 % (3689619)Peak memory usage: 89 MB
% 3.68/1.21 % (3689619)Instructions burned: 108 (million)
% 3.68/1.21 % (3689630)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=1748239445:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.68/1.21 % (3689621)Refutation found. Thanks to Tanya!
% 3.68/1.21 % SZS status Unsatisfiable for theBenchmark
% 3.68/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.21 % (3689621)------------------------------
% 3.68/1.21 % (3689621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.21 % (3689621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.21 % (3689621)CaDiCaL version: 2.1.3
% 3.68/1.21 % (3689621)Termination reason: Refutation
% 3.68/1.21 % (3689621)Time elapsed: 0.004 s
% 3.68/1.21 % (3689621)Peak memory usage: 88 MB
% 3.68/1.21 % (3689621)Instructions burned: 4 (million)
% 3.68/1.21 % (3689621)------------------------------
% 3.68/1.21 % (3689621)------------------------------
% 3.68/1.21 % (3689611)Success in time 0.44 s
% 3.68/1.21 % Vampire exiting
%------------------------------------------------------------------------------