TSTP Solution File: RNG112+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG112+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n006.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 18:15:53 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 141 ( 66 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 170 ( 69 ~; 59 |; 35 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 41 ( 30 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f340,plain,
$false,
inference(subsumption_resolution,[],[f339,f311]) ).
fof(f311,plain,
sz00 != sK3,
inference(subsumption_resolution,[],[f310,f267]) ).
fof(f267,plain,
sz00 != sK16,
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( sz00 != sK16
& aElementOf0(sK16,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f44,f169]) ).
fof(f169,plain,
( ? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) )
=> ( sz00 != sK16
& aElementOf0(sK16,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2228) ).
fof(f310,plain,
( sz00 != sK3
| sz00 = sK16 ),
inference(resolution,[],[f205,f309]) ).
fof(f309,plain,
aElementOf0(sK16,xI),
inference(forward_demodulation,[],[f266,f218]) ).
fof(f218,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
fof(f266,plain,
aElementOf0(sK16,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(cnf_transformation,[],[f170]) ).
fof(f205,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 != sK3
| sz00 = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| ( aElementOf0(sK3,xI)
& sz00 != sK3
& ! [X2] :
( sz00 = X2
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK3))
| ~ aElementOf0(X2,xI) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f72,f129]) ).
fof(f129,plain,
( ? [X1] :
( aElementOf0(X1,xI)
& sz00 != X1
& ! [X2] :
( sz00 = X2
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aElementOf0(X2,xI) ) )
=> ( aElementOf0(sK3,xI)
& sz00 != sK3
& ! [X2] :
( sz00 = X2
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK3))
| ~ aElementOf0(X2,xI) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| ? [X1] :
( aElementOf0(X1,xI)
& sz00 != X1
& ! [X2] :
( sz00 = X2
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aElementOf0(X2,xI) ) ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ? [X1] :
( sz00 != X1
& ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aElementOf0(X2,xI)
| sz00 = X2 )
& aElementOf0(X1,xI) )
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ? [X1] :
( sz00 != X1
& ! [X2] :
( ( aElementOf0(X2,xI)
& sz00 != X2 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
& aElementOf0(X1,xI) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2351) ).
fof(f339,plain,
sz00 = sK3,
inference(resolution,[],[f336,f313]) ).
fof(f313,plain,
aElementOf0(sK3,xI),
inference(subsumption_resolution,[],[f312,f267]) ).
fof(f312,plain,
( sz00 = sK16
| aElementOf0(sK3,xI) ),
inference(resolution,[],[f206,f309]) ).
fof(f206,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = X0
| aElementOf0(sK3,xI) ),
inference(cnf_transformation,[],[f130]) ).
fof(f336,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = X0 ),
inference(subsumption_resolution,[],[f335,f311]) ).
fof(f335,plain,
! [X0] :
( sz00 = sK3
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(subsumption_resolution,[],[f334,f313]) ).
fof(f334,plain,
! [X0] :
( ~ aElementOf0(sK3,xI)
| ~ aElementOf0(X0,xI)
| sz00 = sK3
| sz00 = X0 ),
inference(resolution,[],[f333,f288]) ).
fof(f288,plain,
! [X0] :
( aElementOf0(sK24(X0),xI)
| ~ aElementOf0(X0,xI)
| sz00 = X0 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| ( aElementOf0(sK24(X0),xI)
& sz00 != sK24(X0)
& iLess0(sbrdtbr0(sK24(X0)),sbrdtbr0(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f99,f184]) ).
fof(f184,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xI)
& sz00 != X1
& iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
=> ( aElementOf0(sK24(X0),xI)
& sz00 != sK24(X0)
& iLess0(sbrdtbr0(sK24(X0)),sbrdtbr0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| ? [X1] :
( aElementOf0(X1,xI)
& sz00 != X1
& iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& aElementOf0(X1,xI)
& sz00 != X1 )
| sz00 = X0 ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,xI)
& ! [X1] :
( ( aElementOf0(X1,xI)
& sz00 != X1 )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
& sz00 != X0 ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
? [X0] :
( aElementOf0(X0,xI)
& ! [X1] :
( ( aElementOf0(X1,xI)
& sz00 != X1 )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
& sz00 != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f333,plain,
! [X0] :
( ~ aElementOf0(sK24(sK3),xI)
| ~ aElementOf0(X0,xI)
| sz00 = X0 ),
inference(subsumption_resolution,[],[f332,f323]) ).
fof(f323,plain,
sz00 != sK24(sK3),
inference(subsumption_resolution,[],[f320,f311]) ).
fof(f320,plain,
( sz00 != sK24(sK3)
| sz00 = sK3 ),
inference(resolution,[],[f313,f287]) ).
fof(f287,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = X0
| sz00 != sK24(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f332,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(sK24(sK3),xI)
| sz00 = sK24(sK3) ),
inference(subsumption_resolution,[],[f331,f311]) ).
fof(f331,plain,
! [X0] :
( sz00 = sK3
| ~ aElementOf0(sK24(sK3),xI)
| sz00 = sK24(sK3)
| ~ aElementOf0(X0,xI)
| sz00 = X0 ),
inference(subsumption_resolution,[],[f330,f313]) ).
fof(f330,plain,
! [X0] :
( ~ aElementOf0(sK3,xI)
| sz00 = sK3
| ~ aElementOf0(sK24(sK3),xI)
| sz00 = X0
| ~ aElementOf0(X0,xI)
| sz00 = sK24(sK3) ),
inference(resolution,[],[f204,f286]) ).
fof(f286,plain,
! [X0] :
( iLess0(sbrdtbr0(sK24(X0)),sbrdtbr0(X0))
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f185]) ).
fof(f204,plain,
! [X2,X0] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK3))
| ~ aElementOf0(X2,xI)
| sz00 = X2
| ~ aElementOf0(X0,xI)
| sz00 = X0 ),
inference(cnf_transformation,[],[f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG112+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % 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 : n006.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 12:09:55 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.19/0.52 % (11244)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 % (11243)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (11245)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (11236)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (11235)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)
% 0.19/0.53 % (11253)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (11237)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (11236)Instruction limit reached!
% 0.19/0.53 % (11236)------------------------------
% 0.19/0.53 % (11236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11237)Instruction limit reached!
% 0.19/0.53 % (11237)------------------------------
% 0.19/0.53 % (11237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11237)Termination reason: Unknown
% 0.19/0.53 % (11237)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (11237)Memory used [KB]: 1023
% 0.19/0.53 % (11237)Time elapsed: 0.005 s
% 0.19/0.53 % (11237)Instructions burned: 3 (million)
% 0.19/0.53 % (11237)------------------------------
% 0.19/0.53 % (11237)------------------------------
% 0.19/0.53 % (11236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11236)Termination reason: Unknown
% 0.19/0.53 % (11236)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (11236)Memory used [KB]: 5628
% 0.19/0.53 % (11236)Time elapsed: 0.121 s
% 0.19/0.53 % (11236)Instructions burned: 7 (million)
% 0.19/0.53 % (11236)------------------------------
% 0.19/0.53 % (11236)------------------------------
% 0.19/0.53 % (11252)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (11229)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)
% 0.19/0.53 % (11251)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)
% 0.19/0.54 % (11251)First to succeed.
% 0.19/0.54 % (11230)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)
% 0.19/0.54 % (11232)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)
% 0.19/0.54 % (11231)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)
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (11251)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (11251)------------------------------
% 0.19/0.55 % (11251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (11251)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (11251)Memory used [KB]: 1151
% 0.19/0.55 % (11251)Time elapsed: 0.134 s
% 0.19/0.55 % (11251)Instructions burned: 8 (million)
% 0.19/0.55 % (11251)------------------------------
% 0.19/0.55 % (11251)------------------------------
% 0.19/0.55 % (11228)Success in time 0.194 s
%------------------------------------------------------------------------------