%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN636-1 : 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 : n003.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 02:01:08 PM UTC 2026
% Result : Unsatisfiable 3.37s 1.15s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
~ p3(c23,f8(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] : p3(f4(f6(X0,f7(X1,X2))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
fof(f25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_25) ).
fof(f27,negated_conjecture,
! [X0] :
( p21(f12(f13(c28,c29)),f12(f13(c28,X0)))
| ~ p22(X0,f15(f6(c25,f7(c23,c26)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_27) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( p22(f20(X0,X1,X2),f15(X0))
| p3(f4(X0),f8(c24))
| p10(f11(X0,c27,X1),f11(X0,c27,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_34) ).
fof(f37,negated_conjecture,
! [X2,X0,X1] :
( p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p3(f4(X0),f8(c24))
| ~ p21(f12(f13(X1,X2)),f12(f13(X1,f20(X0,X1,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_37) ).
fof(f41,plain,
! [X0] :
( ~ p3(X0,c23)
| ~ p3(X0,f8(c24)) ),
inference(resolution,[],[f17,f7]) ).
fof(f44,plain,
! [X0,X1] : ~ p3(f4(f6(X0,f7(c23,X1))),f8(c24)),
inference(resolution,[],[f41,f8]) ).
fof(f95,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| ~ p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29)))) ),
inference(resolution,[],[f37,f25]) ).
fof(f96,plain,
~ p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29)))),
inference(forward_subsumption_resolution,[],[f95,f44]) ).
fof(f121,plain,
~ p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26)))),
inference(resolution,[],[f96,f27]) ).
fof(f134,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
inference(resolution,[],[f121,f34]) ).
fof(f136,plain,
p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
inference(forward_subsumption_resolution,[],[f134,f44]) ).
fof(f137,plain,
$false,
inference(forward_subsumption_resolution,[],[f136,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN636-1 : 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 : n003.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 16:40:53 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.37/1.15 % (1739084)Input is clausal, will run a generic CNF schedule.
% 3.37/1.15 % (1739090)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=893878020:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.37/1.15 % (1739091)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3757033040:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.37/1.15 % (1739094)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2269204894:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.37/1.15 % (1739089)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=2096636388:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.37/1.15 % (1739094)First to succeed.
% 3.37/1.15 % (1739094)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1739084"
% 3.37/1.15 % (1739093)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2107492233:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.37/1.15 % (1739092)lrs+10_1_sil=8000:sp=occurrence:random_seed=3269097689:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.37/1.15 % (1739093)Also succeeded, but the first one will report.
% 3.37/1.15 % (1739095)dis-21_1_sil=8000:lcm=predicate:random_seed=321863021: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)
% 3.37/1.15 % (1739092)Also succeeded, but the first one will report.
% 3.37/1.15 % (1739095)Instruction limit reached!
% 3.37/1.15 % (1739095)------------------------------
% 3.37/1.15 % (1739095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.15 % (1739095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.15 % (1739095)CaDiCaL version: 2.1.3
% 3.37/1.15 % (1739095)Termination reason: Instruction limit
% 3.37/1.15 % (1739095)Termination phase: Saturation
% 3.37/1.15 % (1739095)Time elapsed: 0.073 s
% 3.37/1.15 % (1739095)Peak memory usage: 88 MB
% 3.37/1.15 % (1739095)Instructions burned: 117 (million)
% 3.37/1.15 % (1739103)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=1359132109:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.37/1.15 % (1739103)Also succeeded, but the first one will report.
% 3.37/1.15 % (1739094)Refutation found. Thanks to Tanya!
% 3.37/1.15 % SZS status Unsatisfiable for theBenchmark
% 3.37/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.15 % (1739094)------------------------------
% 3.37/1.15 % (1739094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.15 % (1739094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.15 % (1739094)CaDiCaL version: 2.1.3
% 3.37/1.15 % (1739094)Termination reason: Refutation
% 3.37/1.15 % (1739094)Time elapsed: 0.006 s
% 3.37/1.15 % (1739094)Peak memory usage: 88 MB
% 3.37/1.15 % (1739094)Instructions burned: 6 (million)
% 3.37/1.15 % (1739094)------------------------------
% 3.37/1.15 % (1739094)------------------------------
% 3.37/1.15 % (1739084)Success in time 0.402 s
% 3.37/1.16 % Vampire exiting
%------------------------------------------------------------------------------