%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN709-1 : 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 : n001.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 02:01:18 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.20s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 25 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,negated_conjecture,
! [X0] : p29(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_14) ).
fof(f21,negated_conjecture,
! [X0] : p19(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_21) ).
fof(f29,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_29) ).
fof(f59,negated_conjecture,
! [X0,X1] : p19(f25(f28(c64,X0),f34(c66,X1)),f34(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_59) ).
fof(f60,negated_conjecture,
! [X2,X3,X0,X1] :
( p47(X0,X1)
| ~ p30(X2,X0)
| ~ p47(X2,X3)
| ~ p19(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_60) ).
fof(f64,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p47_64) ).
fof(f72,negated_conjecture,
! [X2,X3,X0,X1] :
( p30(f31(X0,X1),f31(X2,X3))
| ~ p19(X1,X3)
| ~ p29(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_72) ).
fof(f81,negated_conjecture,
! [X0,X1] :
( p47(f31(f33(c62,c63),f34(c66,X0)),X1)
| ~ p46(f23(c58,X0),f20(c59,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_81) ).
fof(f83,negated_conjecture,
! [X0,X1] :
( p47(f31(f33(c62,c63),f25(f28(c64,c65),X0)),f25(f28(c64,c65),X1))
| ~ p47(f31(f33(c62,c63),X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_83) ).
fof(f85,plain,
! [X0,X1] :
( ~ p30(X0,f31(f33(c62,c63),f34(c65,c56)))
| ~ p47(X0,X1)
| ~ p19(X1,f25(f28(c64,c65),c60)) ),
inference(resolution,[],[f64,f60]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ p19(X2,f25(f28(c64,c65),c60))
| ~ p47(f31(X0,X1),X2)
| ~ p19(X1,f34(c65,c56))
| ~ p29(X0,f33(c62,c63)) ),
inference(resolution,[],[f85,f72]) ).
fof(f112,plain,
! [X0,X1] :
( ~ p47(f31(X0,X1),f25(f28(c64,c65),c60))
| ~ p19(X1,f34(c65,c56))
| ~ p29(X0,f33(c62,c63)) ),
inference(resolution,[],[f99,f21]) ).
fof(f122,plain,
! [X0] :
( ~ p19(f25(f28(c64,c65),X0),f34(c65,c56))
| ~ p29(f33(c62,c63),f33(c62,c63))
| ~ p47(f31(f33(c62,c63),X0),c60) ),
inference(resolution,[],[f112,f83]) ).
fof(f126,plain,
! [X0] :
( ~ p19(f25(f28(c64,c65),X0),f34(c65,c56))
| ~ p47(f31(f33(c62,c63),X0),c60) ),
inference(forward_subsumption_resolution,[],[f122,f14]) ).
fof(f133,plain,
~ p47(f31(f33(c62,c63),f34(c66,c56)),c60),
inference(resolution,[],[f126,f59]) ).
fof(f138,plain,
~ p46(f23(c58,c56),f20(c59,c60)),
inference(resolution,[],[f133,f81]) ).
fof(f140,plain,
$false,
inference(forward_subsumption_resolution,[],[f138,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % 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 16:54:18 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
% 0.19/1.20 % (486370)Input is clausal, will run a generic CNF schedule.
% 0.19/1.20 % (486384)lrs+10_1_sil=8000:sp=occurrence:random_seed=477429646:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.20 % (486384)Instruction limit reached!
% 0.19/1.20 % (486384)------------------------------
% 0.19/1.20 % (486384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (486384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (486384)CaDiCaL version: 2.1.3
% 0.19/1.20 % (486384)Termination reason: Instruction limit
% 0.19/1.20 % (486384)Termination phase: Saturation
% 0.19/1.20 % (486384)Time elapsed: 0.037 s
% 0.19/1.20 % (486384)Peak memory usage: 89 MB
% 0.19/1.20 % (486384)Instructions burned: 108 (million)
% 0.19/1.20 % (486385)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1124990845:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.20 % (486382)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=71350647:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.20 % (486383)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3691362278:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.20 % (486386)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2071033943:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.20 % (486387)dis-21_1_sil=8000:lcm=predicate:random_seed=2055007389: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)
% 0.19/1.20 % (486381)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=980325389:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.20 % (486385)First to succeed.
% 0.19/1.20 % (486385)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-486370"
% 0.19/1.20 % (486386)Also succeeded, but the first one will report.
% 0.19/1.20 % (486387)Instruction limit reached!
% 0.19/1.20 % (486387)------------------------------
% 0.19/1.20 % (486387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (486387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (486387)CaDiCaL version: 2.1.3
% 0.19/1.20 % (486387)Termination reason: Instruction limit
% 0.19/1.20 % (486387)Termination phase: Saturation
% 0.19/1.20 % (486387)Time elapsed: 0.069 s
% 0.19/1.20 % (486387)Peak memory usage: 88 MB
% 0.19/1.20 % (486387)Instructions burned: 117 (million)
% 0.19/1.20 % (486395)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=3542079782:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.19/1.20 % (486396)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3703933676: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)
% 0.19/1.20 % (486396)Also succeeded, but the first one will report.
% 0.19/1.20 % (486385)Refutation found. Thanks to Tanya!
% 0.19/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.20 % (486385)------------------------------
% 0.19/1.20 % (486385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (486385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (486385)CaDiCaL version: 2.1.3
% 0.19/1.20 % (486385)Termination reason: Refutation
% 0.19/1.20 % (486385)Time elapsed: 0.004 s
% 0.19/1.20 % (486385)Peak memory usage: 88 MB
% 0.19/1.20 % (486385)Instructions burned: 5 (million)
% 0.19/1.20 % (486385)------------------------------
% 0.19/1.20 % (486385)------------------------------
% 0.19/1.20 % (486370)Success in time 0.431 s
% 0.19/1.20 % Vampire exiting
%------------------------------------------------------------------------------