%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN587-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 02:01:01 PM UTC 2026
% Result : Unsatisfiable 3.66s 1.24s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 24 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( p15(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p15(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_17) ).
fof(f18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_18) ).
fof(f19,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_19) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f4(X0,X1),f4(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
fof(f41,plain,
! [X0,X1] :
( ~ p2(X0,f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21))
| ~ p2(X1,c20)
| ~ p15(X0,X1) ),
inference(resolution,[],[f19,f17]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ p2(X1,f6(f10(c16),f6(f7(f8(f9(c17))),c18)))
| ~ p15(f4(X1,X2),X0)
| ~ p2(X0,c20)
| ~ p3(X2,c21) ),
inference(resolution,[],[f41,f20]) ).
fof(f121,plain,
! [X0,X1] :
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0),X1)
| ~ p2(X1,c20)
| ~ p3(X0,c21) ),
inference(resolution,[],[f76,f4]) ).
fof(f191,plain,
( ~ p2(c20,c20)
| ~ p3(c19,c21) ),
inference(resolution,[],[f121,f18]) ).
fof(f198,plain,
~ p3(c19,c21),
inference(forward_subsumption_resolution,[],[f191,f4]) ).
fof(f199,plain,
! [X0] :
( ~ p3(X0,c19)
| ~ p3(X0,c21) ),
inference(resolution,[],[f198,f15]) ).
fof(f213,plain,
~ p3(c21,c21),
inference(resolution,[],[f199,f5]) ).
fof(f215,plain,
$false,
inference(forward_subsumption_resolution,[],[f213,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN587-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n009.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 16:34:17 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running first-order theorem proving
% 0.09/0.26 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.66/1.24 % (3202375)Input is clausal, will run a generic CNF schedule.
% 3.66/1.24 % (3202381)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=709491752:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.66/1.24 % (3202383)lrs+10_1_sil=8000:sp=occurrence:random_seed=3711425120:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.66/1.24 % (3202380)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=3457765504:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.66/1.24 % (3202385)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=616571657:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.66/1.24 % (3202386)dis-21_1_sil=8000:lcm=predicate:random_seed=909094486: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)
% 3.66/1.24 % (3202384)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4028501068:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.66/1.24 % (3202382)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3651222807:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.66/1.24 % (3202384)First to succeed.
% 3.66/1.24 % (3202384)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3202375"
% 3.66/1.24 % (3202385)Also succeeded, but the first one will report.
% 3.66/1.24 % (3202383)Also succeeded, but the first one will report.
% 3.66/1.24 % (3202386)Instruction limit reached!
% 3.66/1.24 % (3202386)------------------------------
% 3.66/1.24 % (3202386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.24 % (3202386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.24 % (3202386)CaDiCaL version: 2.1.3
% 3.66/1.24 % (3202386)Termination reason: Instruction limit
% 3.66/1.24 % (3202386)Termination phase: Saturation
% 3.66/1.24 % (3202386)Time elapsed: 0.069 s
% 3.66/1.24 % (3202386)Peak memory usage: 88 MB
% 3.66/1.24 % (3202386)Instructions burned: 117 (million)
% 3.66/1.24 % (3202394)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=144611450:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.66/1.24 % (3202394)Also succeeded, but the first one will report.
% 3.66/1.24 % (3202384)Refutation found. Thanks to Tanya!
% 3.66/1.24 % SZS status Unsatisfiable for theBenchmark
% 3.66/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.24 % (3202384)------------------------------
% 3.66/1.24 % (3202384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.24 % (3202384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.24 % (3202384)CaDiCaL version: 2.1.3
% 3.66/1.24 % (3202384)Termination reason: Refutation
% 3.66/1.24 % (3202384)Time elapsed: 0.007 s
% 3.66/1.24 % (3202384)Peak memory usage: 88 MB
% 3.66/1.24 % (3202384)Instructions burned: 7 (million)
% 3.66/1.24 % (3202384)------------------------------
% 3.66/1.24 % (3202384)------------------------------
% 3.66/1.24 % (3202375)Success in time 0.442 s
% 3.66/1.24 % Vampire exiting
%------------------------------------------------------------------------------