TSTP Solution File: NUM387+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM387+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:59:19 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 23 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 2 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f145,plain,
$false,
inference(subsumption_resolution,[],[f141,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( in(X1,X0)
=> ~ in(X0,X1) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f141,plain,
in(sK4,sK4),
inference(superposition,[],[f137,f139]) ).
fof(f139,plain,
set_union2(sK4,singleton(sK4)) = sK4,
inference(definition_unfolding,[],[f107,f135]) ).
fof(f135,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f107,plain,
succ(sK4) = sK4,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
succ(sK4) = sK4,
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f52,f74]) ).
fof(f74,plain,
( ? [X0] : succ(X0) = X0
=> succ(sK4) = sK4 ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0] : succ(X0) = X0,
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X0] : succ(X0) != X0,
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X0] : succ(X0) != X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_ordinal1) ).
fof(f137,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f97,f135]) ).
fof(f97,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM387+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 30 06:39:48 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.48 % (9269)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.48 % (9269)Instruction limit reached!
% 0.21/0.48 % (9269)------------------------------
% 0.21/0.48 % (9269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48 % (9269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48 % (9269)Termination reason: Unknown
% 0.21/0.48 % (9269)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (9269)Memory used [KB]: 5884
% 0.21/0.48 % (9269)Time elapsed: 0.065 s
% 0.21/0.48 % (9269)Instructions burned: 2 (million)
% 0.21/0.48 % (9269)------------------------------
% 0.21/0.48 % (9269)------------------------------
% 0.21/0.48 % (9277)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.49 % (9277)First to succeed.
% 0.21/0.49 % (9277)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (9277)------------------------------
% 0.21/0.49 % (9277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (9277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (9277)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (9277)Memory used [KB]: 6012
% 0.21/0.49 % (9277)Time elapsed: 0.075 s
% 0.21/0.49 % (9277)Instructions burned: 3 (million)
% 0.21/0.49 % (9277)------------------------------
% 0.21/0.49 % (9277)------------------------------
% 0.21/0.49 % (9250)Success in time 0.123 s
%------------------------------------------------------------------------------