%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN710-1 : 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 02:01:18 PM UTC 2026
% Result : Unsatisfiable 2.79s 1.16s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 11 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,negated_conjecture,
~ p33(f11(c46,c50),f9(c47,c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p33_25) ).
fof(f50,negated_conjecture,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_50) ).
fof(f72,negated_conjecture,
! [X0,X1] :
( p33(f18(c51,f20(f22(c52,X0),X1)),X0)
| p33(f11(c46,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_72) ).
fof(f73,negated_conjecture,
! [X0,X1] :
( ~ p33(f18(c51,f20(f22(c52,X0),X1)),X1)
| p33(f11(c46,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_73) ).
fof(f75,negated_conjecture,
! [X2,X0,X1] :
( p33(f18(c51,X0),f13(f16(c48,X1),X2))
| ~ p33(f18(c51,X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_75) ).
fof(f80,negated_conjecture,
! [X2,X0,X1] :
( p33(f18(c51,X0),X1)
| ~ p33(f11(c46,X2),X1)
| ~ p33(f18(c51,X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_80) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ p33(f18(c51,f20(f22(c52,X2),X1)),X0)
| ~ p33(f11(c46,X0),X1)
| p33(f11(c46,X2),X1) ),
inference(resolution,[],[f80,f73]) ).
fof(f261,plain,
! [X2,X3,X0,X1] :
( ~ p33(f18(c51,f20(f22(c52,X3),X2)),X1)
| p33(f11(c46,X3),X2)
| ~ p33(f11(c46,f13(f16(c48,X0),X1)),X2) ),
inference(resolution,[],[f148,f75]) ).
fof(f581,plain,
! [X2,X0,X1] :
( p33(f11(c46,X0),X1)
| ~ p33(f11(c46,f13(f16(c48,X2),X0)),X1)
| p33(f11(c46,X0),X1) ),
inference(resolution,[],[f261,f72]) ).
fof(f589,plain,
! [X2,X0,X1] :
( ~ p33(f11(c46,f13(f16(c48,X2),X0)),X1)
| p33(f11(c46,X0),X1) ),
inference(duplicate_literal_removal,[],[f581]) ).
fof(f950,plain,
p33(f11(c46,c50),f9(c47,c43)),
inference(resolution,[],[f589,f50]) ).
fof(f960,plain,
$false,
inference(forward_subsumption_resolution,[],[f950,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN710-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n005.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:48:31 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 2.79/1.16 % (922702)Input is clausal, will run a generic CNF schedule.
% 2.79/1.16 % (922711)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1864343130:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.79/1.16 % (922711)First to succeed.
% 2.79/1.16 % (922711)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-922702"
% 2.79/1.16 % (922708)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3903418020:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.79/1.16 % (922707)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=27211639:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.79/1.16 % (922709)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=351621665:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.79/1.16 % (922710)lrs+10_1_sil=8000:sp=occurrence:random_seed=2724802100:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.79/1.16 % (922713)dis-21_1_sil=8000:lcm=predicate:random_seed=752857116: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)
% 2.79/1.16 % (922712)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2154044972:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.79/1.16 % (922712)Also succeeded, but the first one will report.
% 2.79/1.16 % (922710)Also succeeded, but the first one will report.
% 2.79/1.16 % (922713)Instruction limit reached!
% 2.79/1.16 % (922713)------------------------------
% 2.79/1.16 % (922713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.16 % (922713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.16 % (922713)CaDiCaL version: 2.1.3
% 2.79/1.16 % (922713)Termination reason: Instruction limit
% 2.79/1.16 % (922713)Termination phase: Saturation
% 2.79/1.16 % (922713)Time elapsed: 0.054 s
% 2.79/1.16 % (922713)Peak memory usage: 88 MB
% 2.79/1.16 % (922713)Instructions burned: 118 (million)
% 2.79/1.16 % (922711)Refutation found. Thanks to Tanya!
% 2.79/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.79/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.16 % (922711)------------------------------
% 2.79/1.17 % (922711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.17 % (922711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.17 % (922711)CaDiCaL version: 2.1.3
% 2.79/1.17 % (922711)Termination reason: Refutation
% 2.79/1.17 % (922711)Time elapsed: 0.014 s
% 2.79/1.17 % (922711)Peak memory usage: 88 MB
% 2.79/1.17 % (922711)Instructions burned: 35 (million)
% 2.79/1.17 % (922711)------------------------------
% 2.79/1.17 % (922711)------------------------------
% 2.79/1.17 % (922702)Success in time 0.302 s
% 2.79/1.17 % Vampire exiting
%------------------------------------------------------------------------------