TSTP Solution File: NUN062+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 : Tue Apr 30 14:40:18 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 145 ( 54 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 160 ( 57 ~; 37 |; 58 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 120 ( 80 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f166,plain,
$false,
inference(subsumption_resolution,[],[f156,f109]) ).
fof(f109,plain,
r1(sK21),
inference(equality_resolution,[],[f95]) ).
fof(f95,plain,
! [X1] :
( r1(X1)
| sK21 != X1 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1] :
( ( sK21 = X1
& r1(X1) )
| ( sK21 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f1,f55]) ).
fof(f55,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK21 = X1
& r1(X1) )
| ( sK21 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f156,plain,
~ r1(sK21),
inference(superposition,[],[f120,f140]) ).
fof(f140,plain,
! [X0] : sK21 = X0,
inference(resolution,[],[f138,f85]) ).
fof(f85,plain,
! [X0,X1] : r3(X0,X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( r3(X0,X1,sK16(X0,X1))
& r2(sK16(X0,X1),sK15(X0,X1))
& sK15(X0,X1) = sK17(X0,X1)
& r3(X0,sK18(X0,X1),sK17(X0,X1))
& r2(X1,sK18(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18])],[f22,f49,f48,f47,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK15(X0,X1)) )
& ? [X4] :
( sK15(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK15(X0,X1)) )
=> ( r3(X0,X1,sK16(X0,X1))
& r2(sK16(X0,X1),sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X4] :
( sK15(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK15(X0,X1) = sK17(X0,X1)
& ? [X5] :
( r3(X0,X5,sK17(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK17(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK18(X0,X1),sK17(X0,X1))
& r2(X1,sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f138,plain,
! [X2,X3] :
( ~ r3(sK0,X2,X3)
| sK21 = X2 ),
inference(forward_demodulation,[],[f98,f133]) ).
fof(f133,plain,
! [X0] : sK21 = sK1(X0),
inference(resolution,[],[f132,f96]) ).
fof(f96,plain,
! [X1] :
( ~ r1(X1)
| sK21 = X1 ),
inference(cnf_transformation,[],[f56]) ).
fof(f132,plain,
! [X0] : r1(sK1(X0)),
inference(resolution,[],[f85,f99]) ).
fof(f99,plain,
! [X2,X3] :
( ~ r3(sK0,X2,X3)
| r1(sK1(X2)) ),
inference(equality_resolution,[],[f57]) ).
fof(f57,plain,
! [X2,X3,X1] :
( X1 != X3
| ~ r3(sK0,X2,X3)
| r1(sK1(X2)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(sK0,X2,X3) )
| ( sK1(X2) = X2
& r1(sK1(X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f25,f27,f26]) ).
fof(f26,plain,
( ? [X0] :
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(X0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) )
=> ! [X2,X1] :
( ! [X3] :
( X1 != X3
| ~ r3(sK0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X2] :
( ? [X4] :
( X2 = X4
& r1(X4) )
=> ( sK1(X2) = X2
& r1(sK1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(X0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
? [X1,X2] :
( ? [X3] :
( X1 = X3
& r3(X0,X2,X3) )
& ! [X4] :
( X2 != X4
| ~ r1(X4) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X13] :
? [X21,X38] :
( ? [X22] :
( X21 = X22
& r3(X13,X38,X22) )
& ! [X15] :
( X15 != X38
| ~ r1(X15) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X13] :
? [X21,X38] :
( ? [X22] :
( X21 = X22
& r3(X13,X38,X22) )
& ! [X15] :
( X15 != X38
| ~ r1(X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infiniteNumbers) ).
fof(f98,plain,
! [X2,X3] :
( ~ r3(sK0,X2,X3)
| sK1(X2) = X2 ),
inference(equality_resolution,[],[f58]) ).
fof(f58,plain,
! [X2,X3,X1] :
( X1 != X3
| ~ r3(sK0,X2,X3)
| sK1(X2) = X2 ),
inference(cnf_transformation,[],[f28]) ).
fof(f120,plain,
! [X0] : ~ r1(sK10(X0)),
inference(resolution,[],[f102,f101]) ).
fof(f101,plain,
! [X0] : r2(X0,sK10(X0)),
inference(equality_resolution,[],[f71]) ).
fof(f71,plain,
! [X2,X0] :
( r2(X0,X2)
| sK10(X0) != X2 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X2] :
( ( sK10(X0) = X2
& r2(X0,X2) )
| ( sK10(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f18,f39]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK10(X0) = X2
& r2(X0,X2) )
| ( sK10(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f102,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| X1 != X2
| ~ r1(X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X1 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:21:11 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (20441)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (20442)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (20445)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (20444)WARNING: value z3 for option sas not known
% 0.21/0.38 TRYING [3]
% 0.21/0.38 % (20443)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (20446)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (20444)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (20448)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 % (20444)First to succeed.
% 0.21/0.39 % (20447)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 % (20446)Also succeeded, but the first one will report.
% 0.21/0.39 TRYING [2]
% 0.21/0.39 % (20448)Also succeeded, but the first one will report.
% 0.21/0.39 % (20444)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (20444)------------------------------
% 0.21/0.39 % (20444)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (20444)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (20444)Memory used [KB]: 863
% 0.21/0.39 % (20444)Time elapsed: 0.010 s
% 0.21/0.39 % (20444)Instructions burned: 7 (million)
% 0.21/0.39 % (20444)------------------------------
% 0.21/0.39 % (20444)------------------------------
% 0.21/0.39 % (20441)Success in time 0.038 s
%------------------------------------------------------------------------------