TSTP Solution File: NUM423+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM423+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_uns --cores 0 -t %d %s
% Computer : n001.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 17:59:26 EDT 2022
% Result : Theorem 1.63s 0.57s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 15 unt; 0 def)
% Number of atoms : 165 ( 50 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 196 ( 73 ~; 73 |; 38 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,plain,
$false,
inference(subsumption_resolution,[],[f90,f80]) ).
fof(f80,plain,
~ aDivisorOf0(xq,sz00),
inference(forward_demodulation,[],[f79,f72]) ).
fof(f72,plain,
sz00 = sdtpldt0(xa,smndt0(xa)),
inference(unit_resulting_resolution,[],[f49,f51]) ).
fof(f51,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ~ aInteger0(X0)
| ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f49,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
( sz00 != xq
& aInteger0(xa)
& aInteger0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__671) ).
fof(f79,plain,
~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))),
inference(unit_resulting_resolution,[],[f49,f48,f49,f55,f50,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ aDivisorOf0(X1,sdtpldt0(X0,smndt0(X2)))
| sz00 = X1
| ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(X0,X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ aInteger0(X1)
| ( ( sdteqdtlpzmzozddtrp0(X0,X2,X1)
| ~ aDivisorOf0(X1,sdtpldt0(X0,smndt0(X2))) )
& ( aDivisorOf0(X1,sdtpldt0(X0,smndt0(X2)))
| ~ sdteqdtlpzmzozddtrp0(X0,X2,X1) ) )
| sz00 = X1
| ~ aInteger0(X0)
| ~ aInteger0(X2) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X2] :
( ~ aInteger0(X0)
| ( ( sdteqdtlpzmzozddtrp0(X1,X2,X0)
| ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(X2))) )
& ( aDivisorOf0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X0) ) )
| sz00 = X0
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( ~ aInteger0(X0)
| ( sdteqdtlpzmzozddtrp0(X1,X2,X0)
<=> aDivisorOf0(X0,sdtpldt0(X1,smndt0(X2))) )
| sz00 = X0
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( ( sdteqdtlpzmzozddtrp0(X1,X2,X0)
<=> aDivisorOf0(X0,sdtpldt0(X1,smndt0(X2))) )
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0,X2] :
( ( aInteger0(X0)
& sz00 != X0
& aInteger0(X2)
& aInteger0(X1) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X0)
<=> aDivisorOf0(X0,sdtpldt0(X1,smndt0(X2))) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0)
& aInteger0(X2)
& sz00 != X2 )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(f50,plain,
sz00 != xq,
inference(cnf_transformation,[],[f20]) ).
fof(f55,plain,
~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
inference(flattening,[],[f22]) ).
fof(f22,negated_conjecture,
~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
sdteqdtlpzmzozddtrp0(xa,xa,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f48,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f20]) ).
fof(f90,plain,
aDivisorOf0(xq,sz00),
inference(subsumption_resolution,[],[f89,f50]) ).
fof(f89,plain,
( sz00 = xq
| aDivisorOf0(xq,sz00) ),
inference(subsumption_resolution,[],[f88,f48]) ).
fof(f88,plain,
( ~ aInteger0(xq)
| sz00 = xq
| aDivisorOf0(xq,sz00) ),
inference(subsumption_resolution,[],[f87,f47]) ).
fof(f47,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f87,plain,
( ~ aInteger0(sz00)
| aDivisorOf0(xq,sz00)
| ~ aInteger0(xq)
| sz00 = xq ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f85,plain,
( aDivisorOf0(xq,sz00)
| ~ aInteger0(sz00)
| sz00 = xq
| ~ aInteger0(sz00)
| ~ aInteger0(xq) ),
inference(superposition,[],[f61,f64]) ).
fof(f64,plain,
sz00 = sdtasdt0(xq,sz00),
inference(unit_resulting_resolution,[],[f48,f43]) ).
fof(f43,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f61,plain,
! [X2,X1] :
( aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2) ),
inference(equality_resolution,[],[f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( aDivisorOf0(X1,X0)
| sz00 = X1
| ~ aInteger0(X1)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| sz00 = X1
| ~ aInteger0(X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) ) )
& ( ( sz00 != X1
& aInteger0(X1)
& sdtasdt0(X1,sK0(X0,X1)) = X0
& aInteger0(sK0(X0,X1)) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f39,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
=> ( sdtasdt0(X1,sK0(X0,X1)) = X0
& aInteger0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| sz00 = X1
| ~ aInteger0(X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) ) )
& ( ( sz00 != X1
& aInteger0(X1)
& ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| sz00 = X1
| ~ aInteger0(X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) ) )
& ( ( sz00 != X1
& aInteger0(X1)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| sz00 = X1
| ~ aInteger0(X1)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) ) )
& ( ( sz00 != X1
& aInteger0(X1)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( sz00 != X1
& aInteger0(X1)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) ) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( sz00 != X1
& aInteger0(X1)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM423+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n001.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 06:51:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.53 % (28957)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)
% 0.20/0.54 % (28950)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (28958)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.55 % (28942)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)
% 0.20/0.55 % (28941)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)
% 0.20/0.56 % (28950)Instruction limit reached!
% 0.20/0.56 % (28950)------------------------------
% 0.20/0.56 % (28950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (28950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (28950)Termination reason: Unknown
% 0.20/0.56 % (28950)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (28950)Memory used [KB]: 6012
% 0.20/0.56 % (28950)Time elapsed: 0.082 s
% 0.20/0.56 % (28950)Instructions burned: 8 (million)
% 0.20/0.56 % (28950)------------------------------
% 0.20/0.56 % (28950)------------------------------
% 0.20/0.56 % (28963)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.56 % (28938)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)
% 0.20/0.56 % (28949)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)
% 0.20/0.56 % (28953)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.63/0.56 % (28954)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.63/0.56 % (28949)Instruction limit reached!
% 1.63/0.56 % (28949)------------------------------
% 1.63/0.56 % (28949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56 % (28949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.56 % (28949)Termination reason: Unknown
% 1.63/0.56 % (28949)Termination phase: Saturation
% 1.63/0.56
% 1.63/0.56 % (28949)Memory used [KB]: 6012
% 1.63/0.56 % (28949)Time elapsed: 0.142 s
% 1.63/0.56 % (28949)Instructions burned: 4 (million)
% 1.63/0.56 % (28949)------------------------------
% 1.63/0.56 % (28949)------------------------------
% 1.63/0.56 % (28935)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.63/0.56 % (28946)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.63/0.56 % (28962)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)
% 1.63/0.56 % (28939)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)
% 1.63/0.56 % (28948)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.63/0.56 % (28956)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.63/0.56 % (28954)Refutation not found, incomplete strategy% (28954)------------------------------
% 1.63/0.56 % (28954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56 % (28951)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)
% 1.63/0.56 % (28945)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)
% 1.63/0.57 % (28964)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)
% 1.63/0.57 % (28936)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)
% 1.63/0.57 % (28955)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.63/0.57 % (28960)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.63/0.57 % (28946)Instruction limit reached!
% 1.63/0.57 % (28946)------------------------------
% 1.63/0.57 % (28946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (28944)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)
% 1.63/0.57 % (28938)First to succeed.
% 1.63/0.57 % (28937)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)
% 1.63/0.57 % (28947)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.63/0.57 % (28937)Instruction limit reached!
% 1.63/0.57 % (28937)------------------------------
% 1.63/0.57 % (28937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (28938)Refutation found. Thanks to Tanya!
% 1.63/0.57 % SZS status Theorem for theBenchmark
% 1.63/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.57 % (28938)------------------------------
% 1.63/0.57 % (28938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (28938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (28938)Termination reason: Refutation
% 1.63/0.57
% 1.63/0.57 % (28938)Memory used [KB]: 6012
% 1.63/0.57 % (28938)Time elapsed: 0.153 s
% 1.63/0.57 % (28938)Instructions burned: 3 (million)
% 1.63/0.57 % (28938)------------------------------
% 1.63/0.57 % (28938)------------------------------
% 1.63/0.57 % (28934)Success in time 0.22 s
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