TSTP Solution File: NUM613+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM613+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 : n029.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 18:06:07 EDT 2022
% Result : Theorem 2.47s 0.70s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 40 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 17 ~; 14 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f945,plain,
$false,
inference(unit_resulting_resolution,[],[f563,f465,f625,f943]) ).
fof(f943,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| xk = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f938,f552]) ).
fof(f552,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& xK = szszuzczcdt0(xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(f938,plain,
! [X0] :
( xk = X0
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xK ),
inference(superposition,[],[f441,f551]) ).
fof(f551,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f441,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1) ),
inference(flattening,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f625,plain,
xK = szszuzczcdt0(sbrdtbr0(xP)),
inference(forward_demodulation,[],[f564,f616]) ).
fof(f616,plain,
xK = sbrdtbr0(xQ),
inference(forward_demodulation,[],[f562,f551]) ).
fof(f562,plain,
szszuzczcdt0(xk) = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,axiom,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP))
& aElementOf0(sbrdtbr0(xP),szNzAzT0)
& szszuzczcdt0(xk) = sbrdtbr0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5255) ).
fof(f564,plain,
sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP)),
inference(cnf_transformation,[],[f109]) ).
fof(f465,plain,
xk != sbrdtbr0(xP),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
xk != sbrdtbr0(xP),
inference(flattening,[],[f111]) ).
fof(f111,negated_conjecture,
xk != sbrdtbr0(xP),
inference(negated_conjecture,[],[f110]) ).
fof(f110,conjecture,
xk = sbrdtbr0(xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f563,plain,
aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM613+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : n029.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 07:33:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (20944)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)
% 0.19/0.52 % (20943)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)
% 0.19/0.53 % (20967)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)
% 0.19/0.53 % (20959)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (20966)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (20952)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (20941)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)
% 0.19/0.55 % (20964)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)
% 0.19/0.56 % (20956)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)
% 1.64/0.56 % (20954)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.64/0.57 % (20955)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)
% 1.64/0.57 % (20951)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.64/0.57 % (20948)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.64/0.58 % (20945)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.58 % (20948)Instruction limit reached!
% 1.83/0.58 % (20948)------------------------------
% 1.83/0.58 % (20948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.58 % (20948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.58 % (20946)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)
% 1.83/0.58 % (20948)Termination reason: Unknown
% 1.83/0.58 % (20948)Termination phase: Property scanning
% 1.83/0.58
% 1.83/0.58 % (20948)Memory used [KB]: 1279
% 1.83/0.58 % (20948)Time elapsed: 0.012 s
% 1.83/0.58 % (20948)Instructions burned: 8 (million)
% 1.83/0.58 % (20948)------------------------------
% 1.83/0.58 % (20948)------------------------------
% 1.83/0.59 % (20947)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)
% 1.83/0.60 % (20949)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.83/0.60 % (20949)Instruction limit reached!
% 1.83/0.60 % (20949)------------------------------
% 1.83/0.60 % (20949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60 % (20949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60 % (20949)Termination reason: Unknown
% 1.83/0.60 % (20949)Termination phase: Preprocessing 2
% 1.83/0.60
% 1.83/0.60 % (20949)Memory used [KB]: 1023
% 1.83/0.60 % (20949)Time elapsed: 0.003 s
% 1.83/0.60 % (20949)Instructions burned: 2 (million)
% 1.83/0.60 % (20949)------------------------------
% 1.83/0.60 % (20949)------------------------------
% 1.83/0.60 % (20961)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)
% 1.83/0.60 % (20943)Instruction limit reached!
% 1.83/0.60 % (20943)------------------------------
% 1.83/0.60 % (20943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61 % (20942)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)
% 1.83/0.61 % (20960)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)
% 1.83/0.61 % (20969)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.83/0.61 % (20963)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)
% 1.83/0.61 % (20970)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)
% 1.83/0.61 % (20965)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.83/0.61 % (20943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61 % (20943)Termination reason: Unknown
% 1.83/0.61 % (20943)Termination phase: Saturation
% 1.83/0.61
% 1.83/0.61 % (20943)Memory used [KB]: 1663
% 1.83/0.61 % (20943)Time elapsed: 0.175 s
% 1.83/0.61 % (20943)Instructions burned: 37 (million)
% 1.83/0.61 % (20943)------------------------------
% 1.83/0.61 % (20943)------------------------------
% 1.83/0.62 % (20968)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.83/0.62 % (20962)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.83/0.62 % (20953)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.83/0.63 % (20950)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)
% 1.83/0.63 % (20957)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)
% 1.83/0.63 % (20944)Instruction limit reached!
% 1.83/0.63 % (20944)------------------------------
% 1.83/0.63 % (20944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.63 % (20944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63 % (20944)Termination reason: Unknown
% 1.83/0.63 % (20944)Termination phase: Saturation
% 1.83/0.63
% 1.83/0.63 % (20944)Memory used [KB]: 6780
% 1.83/0.63 % (20944)Time elapsed: 0.237 s
% 1.83/0.63 % (20944)Instructions burned: 51 (million)
% 1.83/0.63 % (20944)------------------------------
% 1.83/0.63 % (20944)------------------------------
% 1.83/0.64 % (20958)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.83/0.65 % (20951)Instruction limit reached!
% 1.83/0.65 % (20951)------------------------------
% 1.83/0.65 % (20951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.65 % (20951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.65 % (20951)Termination reason: Unknown
% 1.83/0.65 % (20951)Termination phase: Saturation
% 1.83/0.65
% 1.83/0.65 % (20951)Memory used [KB]: 6652
% 1.83/0.65 % (20951)Time elapsed: 0.219 s
% 1.83/0.65 % (20951)Instructions burned: 50 (million)
% 1.83/0.65 % (20951)------------------------------
% 1.83/0.65 % (20951)------------------------------
% 2.47/0.67 TRYING [1]
% 2.47/0.68 TRYING [2]
% 2.47/0.68 % (20942)First to succeed.
% 2.47/0.68 TRYING [1]
% 2.47/0.69 TRYING [1]
% 2.47/0.69 TRYING [2]
% 2.47/0.69 % (20947)Instruction limit reached!
% 2.47/0.69 % (20947)------------------------------
% 2.47/0.69 % (20947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.69 % (20947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.69 % (20947)Termination reason: Unknown
% 2.47/0.69 % (20947)Termination phase: Finite model building constraint generation
% 2.47/0.69
% 2.47/0.69 % (20947)Memory used [KB]: 7675
% 2.47/0.69 % (20947)Time elapsed: 0.278 s
% 2.47/0.69 % (20947)Instructions burned: 51 (million)
% 2.47/0.69 % (20947)------------------------------
% 2.47/0.69 % (20947)------------------------------
% 2.47/0.70 % (20942)Refutation found. Thanks to Tanya!
% 2.47/0.70 % SZS status Theorem for theBenchmark
% 2.47/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/0.70 % (20942)------------------------------
% 2.47/0.70 % (20942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.70 % (20942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.70 % (20942)Termination reason: Refutation
% 2.47/0.70
% 2.47/0.70 % (20942)Memory used [KB]: 6268
% 2.47/0.70 % (20942)Time elapsed: 0.260 s
% 2.47/0.70 % (20942)Instructions burned: 29 (million)
% 2.47/0.70 % (20942)------------------------------
% 2.47/0.70 % (20942)------------------------------
% 2.47/0.70 % (20940)Success in time 0.349 s
%------------------------------------------------------------------------------