TSTP Solution File: NUM849+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM849+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 : 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 18:06:58 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 34 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 0 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 46 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f482,plain,
$false,
inference(trivial_inequality_removal,[],[f481]) ).
fof(f481,plain,
vmul(vd448,vplus(vd449,vmul(vd449,sK2))) != vmul(vd448,vplus(vd449,vmul(vd449,sK2))),
inference(forward_demodulation,[],[f480,f188]) ).
fof(f188,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X0] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X75,X76] : vplus(X76,X75) = vplus(X75,X76),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f480,plain,
vmul(vd448,vplus(vd449,vmul(vd449,sK2))) != vmul(vd448,vplus(vmul(vd449,sK2),vd449)),
inference(forward_demodulation,[],[f478,f430]) ).
fof(f430,plain,
! [X2,X3] : vplus(vmul(X3,X2),X3) = vmul(X3,vplus(v1,X2)),
inference(superposition,[],[f255,f188]) ).
fof(f255,plain,
! [X0,X1] : vmul(X0,vplus(X1,v1)) = vplus(vmul(X0,X1),X0),
inference(definition_unfolding,[],[f195,f222]) ).
fof(f222,plain,
! [X1] : vsucc(X1) = vplus(X1,v1),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( vsucc(vplus(X1,X0)) = vplus(X1,vsucc(X0))
& vsucc(X1) = vplus(X1,v1) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1))
& vsucc(X0) = vplus(X0,v1) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X83,X84] :
( vplus(X83,v1) = vsucc(X83)
& vplus(X83,vsucc(X84)) = vsucc(vplus(X83,X84)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f195,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vsucc(X1)),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( vplus(vmul(X0,X1),X0) = vmul(X0,vsucc(X1))
& vmul(X0,v1) = X0 ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X10,X11] :
( vmul(X10,v1) = X10
& vmul(X10,vsucc(X11)) = vplus(vmul(X10,X11),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f478,plain,
vmul(vd448,vplus(vd449,vmul(vd449,sK2))) != vmul(vd448,vmul(vd449,vplus(v1,sK2))),
inference(superposition,[],[f305,f474]) ).
fof(f474,plain,
vmul(vplus(v1,sK2),vmul(vd449,vd448)) = vmul(vd448,vplus(vd449,vmul(vd449,sK2))),
inference(forward_demodulation,[],[f473,f264]) ).
fof(f264,plain,
! [X0] : vplus(X0,v1) = vplus(v1,X0),
inference(definition_unfolding,[],[f246,f222]) ).
fof(f246,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X79] : vplus(v1,X79) = vsucc(X79),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f473,plain,
vmul(vd448,vplus(vd449,vmul(vd449,sK2))) = vmul(vplus(sK2,v1),vmul(vd449,vd448)),
inference(forward_demodulation,[],[f472,f190]) ).
fof(f190,plain,
! [X0,X1] : vmul(X1,X0) = vmul(X0,X1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] : vmul(X1,X0) = vmul(X0,X1),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X5,X6] : vmul(X5,X6) = vmul(X6,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f472,plain,
vmul(vd448,vplus(vd449,vmul(vd449,sK2))) = vmul(vplus(sK2,v1),vmul(vd448,vd449)),
inference(forward_demodulation,[],[f471,f188]) ).
fof(f471,plain,
vmul(vplus(sK2,v1),vmul(vd448,vd449)) = vmul(vd448,vplus(vmul(vd449,sK2),vd449)),
inference(forward_demodulation,[],[f470,f245]) ).
fof(f245,plain,
! [X2,X0,X1] : vmul(X1,vplus(X0,X2)) = vplus(vmul(X1,X0),vmul(X1,X2)),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] : vmul(X1,vplus(X0,X2)) = vplus(vmul(X1,X0),vmul(X1,X2)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X2,X4] : vmul(X2,vplus(X3,X4)) = vplus(vmul(X2,X3),vmul(X2,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f470,plain,
vmul(vplus(sK2,v1),vmul(vd448,vd449)) = vplus(vmul(vd448,vmul(vd449,sK2)),vmul(vd448,vd449)),
inference(forward_demodulation,[],[f441,f190]) ).
fof(f441,plain,
vplus(vmul(vd448,vmul(vd449,sK2)),vmul(vd448,vd449)) = vmul(vmul(vd448,vd449),vplus(sK2,v1)),
inference(superposition,[],[f255,f231]) ).
fof(f231,plain,
vmul(vd448,vmul(vd449,sK2)) = vmul(vmul(vd448,vd449),sK2),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( vmul(vmul(vd448,vd449),vsucc(sK2)) != vmul(vd448,vmul(vd449,vsucc(sK2)))
& vmul(vd448,vmul(vd449,sK2)) = vmul(vmul(vd448,vd449),sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f122,f170]) ).
fof(f170,plain,
( ? [X0] :
( vmul(vmul(vd448,vd449),vsucc(X0)) != vmul(vd448,vmul(vd449,vsucc(X0)))
& vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0)) )
=> ( vmul(vmul(vd448,vd449),vsucc(sK2)) != vmul(vd448,vmul(vd449,vsucc(sK2)))
& vmul(vd448,vmul(vd449,sK2)) = vmul(vmul(vd448,vd449),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
? [X0] :
( vmul(vmul(vd448,vd449),vsucc(X0)) != vmul(vd448,vmul(vd449,vsucc(X0)))
& vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vmul(vmul(vd448,vd449),vsucc(X0)) = vmul(vd448,vmul(vd449,vsucc(X0))) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vmul(vmul(vd448,vd449),vsucc(X0)) = vmul(vd448,vmul(vd449,vsucc(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(ind(296), imp(296))') ).
fof(f305,plain,
vmul(vplus(v1,sK2),vmul(vd449,vd448)) != vmul(vd448,vmul(vd449,vplus(v1,sK2))),
inference(superposition,[],[f278,f190]) ).
fof(f278,plain,
vmul(vd448,vmul(vd449,vplus(v1,sK2))) != vmul(vmul(vd449,vd448),vplus(v1,sK2)),
inference(forward_demodulation,[],[f277,f190]) ).
fof(f277,plain,
vmul(vd448,vmul(vd449,vplus(v1,sK2))) != vmul(vmul(vd448,vd449),vplus(v1,sK2)),
inference(forward_demodulation,[],[f263,f264]) ).
fof(f263,plain,
vmul(vd448,vmul(vd449,vplus(sK2,v1))) != vmul(vmul(vd448,vd449),vplus(sK2,v1)),
inference(definition_unfolding,[],[f232,f222,f222]) ).
fof(f232,plain,
vmul(vmul(vd448,vd449),vsucc(sK2)) != vmul(vd448,vmul(vd449,vsucc(sK2))),
inference(cnf_transformation,[],[f171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 09:01:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (24183)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)
% 0.19/0.49 % (24198)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.49 % (24200)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)
% 0.19/0.50 % (24206)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.50 % (24203)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)
% 0.19/0.50 % (24183)First to succeed.
% 0.19/0.50 % (24191)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (24195)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)
% 0.19/0.51 % (24184)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 % (24185)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 % (24190)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)
% 0.19/0.51 % (24187)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 % (24186)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)
% 0.19/0.52 % (24181)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 [2]
% 0.19/0.52 % (24199)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (24201)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 % (24188)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (24208)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)
% 0.19/0.52 % (24197)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)
% 0.19/0.52 % (24209)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (24207)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 % (24188)Instruction limit reached!
% 0.19/0.52 % (24188)------------------------------
% 0.19/0.52 % (24188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24188)Termination reason: Unknown
% 0.19/0.52 % (24188)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (24188)Memory used [KB]: 5628
% 0.19/0.52 % (24188)Time elapsed: 0.138 s
% 0.19/0.52 % (24188)Instructions burned: 7 (million)
% 0.19/0.52 % (24188)------------------------------
% 0.19/0.52 % (24188)------------------------------
% 0.19/0.52 % (24183)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 % (24183)------------------------------
% 0.19/0.52 % (24183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24183)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (24183)Memory used [KB]: 1279
% 0.19/0.52 % (24183)Time elapsed: 0.110 s
% 0.19/0.52 % (24183)Instructions burned: 17 (million)
% 0.19/0.53 % (24183)------------------------------
% 0.19/0.53 % (24183)------------------------------
% 0.19/0.53 % (24180)Success in time 0.185 s
%------------------------------------------------------------------------------