%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM228-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:11:56 PM UTC 2026
% Result : Unsatisfiable 2.40s 0.95s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f163,axiom,
! [X0,X1] :
( function(X1)
| ~ member(X0,recursion_equation_functions(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',recursion_equation_functions1) ).
fof(f176,negated_conjecture,
~ function(z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1) ).
fof(f177,negated_conjecture,
recursion_equation_functions(z) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2) ).
fof(f178,plain,
null_class != recursion_equation_functions(z),
inference(reorient_equations,[],[f177]) ).
fof(f186,plain,
! [X0] : ~ member(X0,recursion_equation_functions(z)),
inference(resolution,[],[f163,f176]) ).
fof(f189,plain,
null_class = recursion_equation_functions(z),
inference(resolution,[],[f68,f186]) ).
fof(f190,plain,
$false,
inference(forward_subsumption_resolution,[],[f189,f178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM228-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 19:14:20 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 2.40/0.95 % (2676930)Input is clausal, will run a generic CNF schedule.
% 2.40/0.95 % (2676937)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4120772872:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.40/0.95 % (2676936)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1758812184:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.40/0.95 % (2676935)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=1972259884:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.40/0.95 % (2676939)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1069285518:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.40/0.95 % (2676938)lrs+10_1_sil=8000:sp=occurrence:random_seed=2650874919:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.40/0.95 % (2676941)dis-21_1_sil=8000:lcm=predicate:random_seed=225100612: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)
% 2.40/0.95 % (2676940)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2754722777:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.40/0.95 % (2676940)First to succeed.
% 2.40/0.95 % (2676940)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2676930"
% 2.40/0.95 % (2676938)Refutation not found, incomplete strategy
% 2.40/0.95 % (2676938)------------------------------
% 2.40/0.95 % (2676938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.95 % (2676938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.95 % (2676938)CaDiCaL version: 2.1.3
% 2.40/0.95 % (2676938)Termination reason: Refutation not found, incomplete strategy
% 2.40/0.95 % (2676938)Time elapsed: 0.014 s
% 2.40/0.95 % (2676938)Peak memory usage: 89 MB
% 2.40/0.95 % (2676938)Instructions burned: 33 (million)
% 2.40/0.95 % (2676941)Instruction limit reached!
% 2.40/0.95 % (2676941)------------------------------
% 2.40/0.95 % (2676941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.95 % (2676941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.95 % (2676941)CaDiCaL version: 2.1.3
% 2.40/0.95 % (2676941)Termination reason: Instruction limit
% 2.40/0.95 % (2676941)Termination phase: Saturation
% 2.40/0.95 % (2676941)Time elapsed: 0.032 s
% 2.40/0.95 % (2676941)Peak memory usage: 88 MB
% 2.40/0.95 % (2676941)Instructions burned: 117 (million)
% 2.40/0.95 % (2676939)Instruction limit reached!
% 2.40/0.95 % (2676939)------------------------------
% 2.40/0.95 % (2676939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.95 % (2676939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.95 % (2676939)CaDiCaL version: 2.1.3
% 2.40/0.95 % (2676939)Termination reason: Instruction limit
% 2.40/0.95 % (2676939)Termination phase: Saturation
% 2.40/0.95 % (2676939)Time elapsed: 0.035 s
% 2.40/0.95 % (2676939)Peak memory usage: 88 MB
% 2.40/0.95 % (2676939)Instructions burned: 115 (million)
% 2.40/0.95 % (2676940)Refutation found. Thanks to Tanya!
% 2.40/0.95 % SZS status Unsatisfiable for theBenchmark
% 2.40/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.40/0.95 % (2676940)------------------------------
% 2.40/0.95 % (2676940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.95 % (2676940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.95 % (2676940)CaDiCaL version: 2.1.3
% 2.40/0.95 % (2676940)Termination reason: Refutation
% 2.40/0.95 % (2676940)Time elapsed: 0.003 s
% 2.40/0.95 % (2676940)Peak memory usage: 88 MB
% 2.40/0.95 % (2676940)Instructions burned: 6 (million)
% 2.40/0.95 % (2676940)------------------------------
% 2.40/0.95 % (2676940)------------------------------
% 2.40/0.95 % (2676930)Success in time 0.312 s
% 2.40/0.95 % Vampire exiting
%------------------------------------------------------------------------------