TSTP Solution File: NUM852+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM852+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n020.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 18:06:59 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 26 unt; 0 def)
% Number of atoms : 48 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 8 |; 3 &)
% ( 2 <=>; 1 =>; 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 51 ( 46 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f631,plain,
$false,
inference(subsumption_resolution,[],[f630,f285]) ).
fof(f285,plain,
~ greater(sF4,sF5),
inference(definition_folding,[],[f257,f284,f283]) ).
fof(f283,plain,
vmul(vd481,vd469) = sF4,
introduced(function_definition,[]) ).
fof(f284,plain,
vmul(vd480,vd469) = sF5,
introduced(function_definition,[]) ).
fof(f257,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)') ).
fof(f630,plain,
greater(sF4,sF5),
inference(forward_demodulation,[],[f629,f283]) ).
fof(f629,plain,
greater(vmul(vd481,vd469),sF5),
inference(forward_demodulation,[],[f620,f249]) ).
fof(f249,plain,
! [X0,X1] : vmul(X1,X0) = vmul(X0,X1),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] : vmul(X1,X0) = vmul(X0,X1),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X1,X0] : vmul(X1,X0) = vmul(X0,X1),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X10,X11] : vmul(X10,X11) = vmul(X11,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f620,plain,
greater(vmul(vd469,vd481),sF5),
inference(superposition,[],[f516,f303]) ).
fof(f303,plain,
sF5 = vmul(vd469,vd480),
inference(superposition,[],[f284,f249]) ).
fof(f516,plain,
! [X10] : greater(vmul(X10,vd481),vmul(X10,vd480)),
inference(superposition,[],[f360,f293]) ).
fof(f293,plain,
vd481 = vplus(vd480,sK3(vd481,vd480)),
inference(resolution,[],[f247,f244]) ).
fof(f244,plain,
greater(vd481,vd480),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(vd481,vd480),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq(304)), 483, 0)') ).
fof(f247,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| vplus(X1,sK3(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1] :
( ( vplus(X1,sK3(X0,X1)) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X3] : vplus(X1,X3) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f187,f188]) ).
fof(f188,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
=> vplus(X1,sK3(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X3] : vplus(X1,X3) != X0 ) ),
inference(rectify,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X2] : vplus(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
<=> greater(X0,X1) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X69,X68] :
( greater(X69,X68)
<=> ? [X70] : vplus(X68,X70) = X69 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f360,plain,
! [X18,X19,X17] : greater(vmul(X17,vplus(X18,X19)),vmul(X17,X18)),
inference(superposition,[],[f282,f245]) ).
fof(f245,plain,
! [X2,X0,X1] : vmul(X1,vplus(X2,X0)) = vplus(vmul(X1,X2),vmul(X1,X0)),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2] : vmul(X1,vplus(X2,X0)) = vplus(vmul(X1,X2),vmul(X1,X0)),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X1,X0,X2] : vplus(vmul(X0,X2),vmul(X0,X1)) = vmul(X0,vplus(X2,X1)),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X7,X9,X8] : vmul(X7,vplus(X8,X9)) = vplus(vmul(X7,X8),vmul(X7,X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f282,plain,
! [X3,X1] : greater(vplus(X1,X3),X1),
inference(equality_resolution,[],[f246]) ).
fof(f246,plain,
! [X3,X0,X1] :
( greater(X0,X1)
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM852+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:06:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (23020)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)
% 0.20/0.50 % (23027)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (23022)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)
% 0.20/0.52 % (23037)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)
% 0.20/0.52 % (23042)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (23021)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (23019)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)
% 0.20/0.53 % (23028)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)
% 0.20/0.53 % (23026)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)
% 0.20/0.53 % (23030)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (23018)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)
% 0.20/0.54 % (23024)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (23035)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (23025)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (23025)Instruction limit reached!
% 0.20/0.54 % (23025)------------------------------
% 0.20/0.54 % (23025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23025)Termination reason: Unknown
% 0.20/0.54 % (23025)Termination phase: Preprocessing 2
% 0.20/0.54
% 0.20/0.54 % (23025)Memory used [KB]: 1023
% 0.20/0.54 % (23025)Time elapsed: 0.003 s
% 0.20/0.54 % (23025)Instructions burned: 2 (million)
% 0.20/0.54 % (23025)------------------------------
% 0.20/0.54 % (23025)------------------------------
% 0.20/0.54 % (23046)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)
% 0.20/0.54 % (23017)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)
% 0.20/0.54 % (23043)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)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (23039)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)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (23040)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)
% 0.20/0.55 % (23041)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (23045)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (23032)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)
% 0.20/0.55 % (23038)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (23023)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)
% 0.20/0.56 % (23031)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)
% 0.20/0.56 % (23034)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 % (23024)Instruction limit reached!
% 0.20/0.56 % (23024)------------------------------
% 0.20/0.56 % (23024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 TRYING [3]
% 0.20/0.57 % (23033)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)
% 0.20/0.57 TRYING [1]
% 0.20/0.57 % (23027)Instruction limit reached!
% 0.20/0.57 % (23027)------------------------------
% 0.20/0.57 % (23027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (23024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (23024)Termination reason: Unknown
% 0.20/0.57 % (23024)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (23024)Memory used [KB]: 5628
% 0.20/0.57 % (23024)Time elapsed: 0.142 s
% 0.20/0.57 % (23024)Instructions burned: 7 (million)
% 0.20/0.57 % (23024)------------------------------
% 0.20/0.57 % (23024)------------------------------
% 0.20/0.57 TRYING [2]
% 0.20/0.57 TRYING [2]
% 0.20/0.57 TRYING [3]
% 0.20/0.58 TRYING [3]
% 0.20/0.58 % (23029)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.58 % (23022)Instruction limit reached!
% 0.20/0.58 % (23022)------------------------------
% 0.20/0.58 % (23022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (23021)First to succeed.
% 0.20/0.59 % (23021)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Theorem for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (23021)------------------------------
% 0.20/0.59 % (23021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (23021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (23021)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (23021)Memory used [KB]: 5884
% 0.20/0.59 % (23021)Time elapsed: 0.183 s
% 0.20/0.59 % (23021)Instructions burned: 23 (million)
% 0.20/0.59 % (23021)------------------------------
% 0.20/0.59 % (23021)------------------------------
% 0.20/0.59 % (23015)Success in time 0.229 s
%------------------------------------------------------------------------------