TSTP Solution File: NUN069+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : n017.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 18:07:40 EDT 2022
% Result : Theorem 1.37s 0.53s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 3 unt; 0 def)
% Number of atoms : 87 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 75 ( 10 ~; 5 |; 53 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 0 con; 1-2 aty)
% Number of variables : 68 ( 29 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119,plain,
$false,
inference(unit_resulting_resolution,[],[f67,f79,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X1) ),
inference(trivial_inequality_removal,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( X0 != X0
| ~ r2(X1,X0)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ~ r1(X1)
| ~ r2(X1,X0) )
| X0 != X0 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( X0 = X0
& ? [X1] :
( r1(X1)
& r2(X1,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( X38 = X38
& ? [X21] :
( r1(X21)
& r2(X21,X38) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( X38 = X38
& ? [X21] :
( r1(X21)
& r2(X21,X38) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneeqone) ).
fof(f79,plain,
! [X0,X1] : r2(X1,sK14(X0,X1)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( sK12(X0,X1) = sK13(X0,X1)
& r3(X0,sK14(X0,X1),sK13(X0,X1))
& r2(X1,sK14(X0,X1))
& r3(X0,X1,sK15(X0,X1))
& r2(sK15(X0,X1),sK12(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f21,f47,f46,f45,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) ) )
=> ( ? [X3] :
( sK12(X0,X1) = X3
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,sK12(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X3] :
( sK12(X0,X1) = X3
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) )
=> ( sK12(X0,X1) = sK13(X0,X1)
& ? [X4] :
( r3(X0,X4,sK13(X0,X1))
& r2(X1,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X4] :
( r3(X0,X4,sK13(X0,X1))
& r2(X1,X4) )
=> ( r3(X0,sK14(X0,X1),sK13(X0,X1))
& r2(X1,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X1,X5)
& r2(X5,sK12(X0,X1)) )
=> ( r3(X0,X1,sK15(X0,X1))
& r2(sK15(X0,X1),sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X16] :
( X15 = X16
& ? [X17] :
( r2(X14,X17)
& r3(X13,X17,X16) ) )
& ? [X18] :
( r2(X18,X15)
& r3(X13,X14,X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f67,plain,
! [X0] : r1(sK6(X0)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( r4(X0,sK6(X0),sK5(X0))
& r1(sK6(X0))
& sK5(X0) = sK7(X0)
& r1(sK7(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f19,f36,f35,f34]) ).
fof(f34,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r4(X0,X2,X1)
& r1(X2) )
& ? [X3] :
( X1 = X3
& r1(X3) ) )
=> ( ? [X2] :
( r4(X0,X2,sK5(X0))
& r1(X2) )
& ? [X3] :
( sK5(X0) = X3
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
( ? [X2] :
( r4(X0,X2,sK5(X0))
& r1(X2) )
=> ( r4(X0,sK6(X0),sK5(X0))
& r1(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0] :
( ? [X3] :
( sK5(X0) = X3
& r1(X3) )
=> ( sK5(X0) = sK7(X0)
& r1(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r4(X0,X2,X1)
& r1(X2) )
& ? [X3] :
( X1 = X3
& r1(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X34] :
( r4(X32,X34,X33)
& r1(X34) )
& ? [X35] :
( r1(X35)
& X33 = X35 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 09:09:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (24093)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (24085)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (24093)First to succeed.
% 0.19/0.52 % (24084)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.37/0.53 % (24100)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.53 % (24089)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.37/0.53 % (24092)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.37/0.53 % (24113)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.37/0.53 % (24091)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.37/0.53 % (24111)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.37/0.53 % (24094)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.37/0.53 % (24106)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.37/0.53 % (24088)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.37/0.53 % (24086)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.37/0.53 % (24101)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.37/0.53 % (24086)Instruction limit reached!
% 1.37/0.53 % (24086)------------------------------
% 1.37/0.53 % (24086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53 % (24086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53 % (24086)Termination reason: Unknown
% 1.37/0.53 % (24086)Termination phase: Saturation
% 1.37/0.53
% 1.37/0.53 % (24086)Memory used [KB]: 6012
% 1.37/0.53 % (24086)Time elapsed: 0.003 s
% 1.37/0.53 % (24086)Instructions burned: 3 (million)
% 1.37/0.53 % (24086)------------------------------
% 1.37/0.53 % (24086)------------------------------
% 1.37/0.53 % (24087)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.53 % (24094)Also succeeded, but the first one will report.
% 1.37/0.53 % (24093)Refutation found. Thanks to Tanya!
% 1.37/0.53 % SZS status Theorem for theBenchmark
% 1.37/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.53 % (24093)------------------------------
% 1.37/0.53 % (24093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53 % (24093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53 % (24093)Termination reason: Refutation
% 1.37/0.53
% 1.37/0.53 % (24093)Memory used [KB]: 6012
% 1.37/0.53 % (24093)Time elapsed: 0.112 s
% 1.37/0.53 % (24093)Instructions burned: 2 (million)
% 1.37/0.53 % (24093)------------------------------
% 1.37/0.53 % (24093)------------------------------
% 1.37/0.53 % (24083)Success in time 0.18 s
%------------------------------------------------------------------------------