TSTP Solution File: NUN062+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -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 : Wed Aug 31 18:08:02 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 54 ( 18 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 61 ( 28 ~; 18 |; 15 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 62 ( 43 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,plain,
$false,
inference(resolution,[],[f108,f80]) ).
fof(f80,plain,
! [X3,X4] : ~ r1(sK16(X3,X4)),
inference(resolution,[],[f62,f47]) ).
fof(f47,plain,
! [X0,X1] : r2(X0,sK16(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) ) )
& ? [X5] :
( r3(X1,X0,X5)
& r2(X5,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X16] :
( ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) )
& X15 = X16 )
& ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f62,plain,
! [X2,X1] :
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( X0 != X2
| ~ r1(X2)
| ~ r2(X1,X0) ),
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(f108,plain,
! [X1] : r1(X1),
inference(superposition,[],[f88,f104]) ).
fof(f104,plain,
! [X0] : sK19(X0) = X0,
inference(resolution,[],[f67,f50]) ).
fof(f50,plain,
! [X0,X1] : r3(X1,X0,sK14(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f67,plain,
! [X2,X4] :
( ~ r3(sK18,X2,X4)
| sK19(X2) = X2 ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X2,X1,X4] :
( X1 != X4
| ~ r3(sK18,X2,X4)
| sK19(X2) = X2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
? [X0] :
! [X2,X1] :
( ? [X3] :
( r1(X3)
& X2 = X3 )
| ! [X4] :
( ~ r3(X0,X2,X4)
| X1 != X4 ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X0] :
? [X1,X2] :
( ? [X4] :
( X1 = X4
& r3(X0,X2,X4) )
& ! [X3] :
( ~ r1(X3)
| X2 != X3 ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X13] :
? [X21,X38] :
( ! [X15] :
( X15 != X38
| ~ r1(X15) )
& ? [X22] :
( r3(X13,X38,X22)
& X21 = X22 ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X13] :
? [X21,X38] :
( ! [X15] :
( X15 != X38
| ~ r1(X15) )
& ? [X22] :
( r3(X13,X38,X22)
& X21 = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infiniteNumbers) ).
fof(f88,plain,
! [X0] : r1(sK19(X0)),
inference(resolution,[],[f66,f50]) ).
fof(f66,plain,
! [X2,X4] :
( ~ r3(sK18,X2,X4)
| r1(sK19(X2)) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X1,X4] :
( X1 != X4
| ~ r3(sK18,X2,X4)
| r1(sK19(X2)) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN062+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 09:40:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (18147)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (18146)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (18146)Refutation not found, incomplete strategy% (18146)------------------------------
% 0.19/0.50 % (18146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (18146)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (18146)Memory used [KB]: 5500
% 0.19/0.50 % (18146)Time elapsed: 0.108 s
% 0.19/0.50 % (18146)Instructions burned: 3 (million)
% 0.19/0.50 % (18146)------------------------------
% 0.19/0.50 % (18146)------------------------------
% 0.19/0.50 % (18149)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (18170)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50 % (18164)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (18158)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (18148)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (18148)First to succeed.
% 0.19/0.51 % (18150)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (18151)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (18155)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (18163)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (18168)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (18176)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (18169)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (18154)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (18145)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (18167)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (18161)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (18165)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (18157)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (18148)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (18148)------------------------------
% 0.19/0.52 % (18148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18148)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (18148)Memory used [KB]: 5500
% 0.19/0.52 % (18148)Time elapsed: 0.116 s
% 0.19/0.52 % (18148)Instructions burned: 4 (million)
% 0.19/0.52 % (18148)------------------------------
% 0.19/0.52 % (18148)------------------------------
% 0.19/0.52 % (18138)Success in time 0.179 s
%------------------------------------------------------------------------------