TSTP Solution File: NUN062+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN062+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 : n013.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 18:07:37 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 38 ( 7 unt; 0 def)
% Number of atoms : 147 ( 41 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 145 ( 36 ~; 26 |; 73 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 143 ( 82 !; 61 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f128,plain,
$false,
inference(resolution,[],[f124,f121]) ).
fof(f121,plain,
! [X3,X4] : ~ r1(sK19(X3,X4)),
inference(resolution,[],[f107,f96]) ).
fof(f96,plain,
! [X0,X1] : r2(X0,sK19(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( r4(X1,sK19(X0,X1),sK18(X0,X1))
& r2(X0,sK19(X0,X1))
& sK17(X0,X1) = sK18(X0,X1)
& r4(X1,X0,sK20(X0,X1))
& r3(sK20(X0,X1),X1,sK17(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20])],[f53,f57,f56,f55,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) )
& X2 = X3 )
& ? [X5] :
( r4(X1,X0,X5)
& r3(X5,X1,X2) ) )
=> ( ? [X3] :
( ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) )
& sK17(X0,X1) = X3 )
& ? [X5] :
( r4(X1,X0,X5)
& r3(X5,X1,sK17(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) )
& sK17(X0,X1) = X3 )
=> ( ? [X4] :
( r4(X1,X4,sK18(X0,X1))
& r2(X0,X4) )
& sK17(X0,X1) = sK18(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X4] :
( r4(X1,X4,sK18(X0,X1))
& r2(X0,X4) )
=> ( r4(X1,sK19(X0,X1),sK18(X0,X1))
& r2(X0,sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X5] :
( r4(X1,X0,X5)
& r3(X5,X1,sK17(X0,X1)) )
=> ( r4(X1,X0,sK20(X0,X1))
& r3(sK20(X0,X1),X1,sK17(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r4(X1,X4,X3)
& r2(X0,X4) )
& X2 = X3 )
& ? [X5] :
( r4(X1,X0,X5)
& r3(X5,X1,X2) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
? [X2] :
( ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& X2 = X4 )
& ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) )
& ? [X22] :
( ? [X23] :
( r2(X20,X23)
& r4(X19,X23,X22) )
& X21 = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f107,plain,
! [X2,X1] :
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X2)
| X0 != X2 ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ! [X2] :
( ~ r1(X2)
| X0 != X2 ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X41,X40] :
( ! [X42] :
( X41 != X42
| ~ r1(X42) )
| ~ r2(X40,X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f124,plain,
! [X1] : r1(X1),
inference(backward_demodulation,[],[f123,f122]) ).
fof(f122,plain,
! [X0] : sK2(X0) = X0,
inference(resolution,[],[f84,f108]) ).
fof(f108,plain,
! [X2,X3] :
( ~ r3(sK1,X2,X3)
| sK2(X2) = X2 ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X2,X3,X1] :
( X1 != X3
| ~ r3(sK1,X2,X3)
| sK2(X2) = X2 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(sK1,X2,X3) )
| ( sK2(X2) = X2
& r1(sK2(X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f29,f31,f30]) ).
fof(f30,plain,
( ? [X0] :
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(X0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) )
=> ! [X2,X1] :
( ! [X3] :
( X1 != X3
| ~ r3(sK1,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X2] :
( ? [X4] :
( X2 = X4
& r1(X4) )
=> ( sK2(X2) = X2
& r1(sK2(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] :
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(X0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
? [X0] :
! [X1,X2] :
( ! [X4] :
( X1 != X4
| ~ r3(X0,X2,X4) )
| ? [X3] :
( X2 = X3
& r1(X3) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
? [X2,X1] :
( ! [X3] :
( ~ r1(X3)
| X2 != X3 )
& ? [X4] :
( r3(X0,X2,X4)
& X1 = X4 ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X13] :
? [X21,X38] :
( ! [X15] :
( ~ r1(X15)
| X15 != X38 )
& ? [X22] :
( r3(X13,X38,X22)
& X21 = X22 ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X13] :
? [X21,X38] :
( ! [X15] :
( ~ r1(X15)
| X15 != X38 )
& ? [X22] :
( r3(X13,X38,X22)
& X21 = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infiniteNumbers) ).
fof(f84,plain,
! [X0,X1] : r3(X1,X0,sK11(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( r3(X1,X0,sK11(X0,X1))
& r2(sK11(X0,X1),sK10(X0,X1))
& r3(X1,sK13(X0,X1),sK12(X0,X1))
& r2(X0,sK13(X0,X1))
& sK12(X0,X1) = sK10(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f15,f45,f44,f43,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X1,X0,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) )
& X2 = X4 ) )
=> ( ? [X3] :
( r3(X1,X0,X3)
& r2(X3,sK10(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) )
& sK10(X0,X1) = X4 ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X3] :
( r3(X1,X0,X3)
& r2(X3,sK10(X0,X1)) )
=> ( r3(X1,X0,sK11(X0,X1))
& r2(sK11(X0,X1),sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) )
& sK10(X0,X1) = X4 )
=> ( ? [X5] :
( r3(X1,X5,sK12(X0,X1))
& r2(X0,X5) )
& sK12(X0,X1) = sK10(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X5] :
( r3(X1,X5,sK12(X0,X1))
& r2(X0,X5) )
=> ( r3(X1,sK13(X0,X1),sK12(X0,X1))
& r2(X0,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X1,X0,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) )
& X2 = X4 ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) )
& ? [X16] :
( ? [X17] :
( r2(X14,X17)
& r3(X13,X17,X16) )
& X15 = X16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f123,plain,
! [X1] : r1(sK2(X1)),
inference(resolution,[],[f84,f109]) ).
fof(f109,plain,
! [X2,X3] :
( ~ r3(sK1,X2,X3)
| r1(sK2(X2)) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X2,X3,X1] :
( X1 != X3
| ~ r3(sK1,X2,X3)
| r1(sK2(X2)) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN062+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 : n013.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 09:39:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (10907)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)
% 0.19/0.49 % (10899)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (10907)First to succeed.
% 0.19/0.49 % (10899)Instruction limit reached!
% 0.19/0.49 % (10899)------------------------------
% 0.19/0.49 % (10899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (10899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (10899)Termination reason: Unknown
% 0.19/0.49 % (10899)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (10899)Memory used [KB]: 6012
% 0.19/0.49 % (10899)Time elapsed: 0.005 s
% 0.19/0.49 % (10899)Instructions burned: 3 (million)
% 0.19/0.49 % (10899)------------------------------
% 0.19/0.49 % (10899)------------------------------
% 0.19/0.49 % (10891)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50 % (10907)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (10907)------------------------------
% 0.19/0.50 % (10907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (10907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (10907)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (10907)Memory used [KB]: 6012
% 0.19/0.50 % (10907)Time elapsed: 0.048 s
% 0.19/0.50 % (10907)Instructions burned: 3 (million)
% 0.19/0.50 % (10907)------------------------------
% 0.19/0.50 % (10907)------------------------------
% 0.19/0.50 % (10884)Success in time 0.147 s
%------------------------------------------------------------------------------