TSTP Solution File: NUM849+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM849+2 : 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 : n025.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 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 37 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 0 |; 8 &)
% ( 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 : 60 ( 58 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,plain,
$false,
inference(subsumption_resolution,[],[f188,f58]) ).
fof(f58,plain,
vmul(vmul(vd449,vd448),vplus(v1,sK0)) != vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(forward_demodulation,[],[f57,f40]) ).
fof(f40,plain,
! [X0,X1] : vmul(X1,X0) = vmul(X0,X1),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : vmul(X1,X0) = vmul(X0,X1),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X1,X0] : vmul(X1,X0) = vmul(X0,X1),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X6,X5] : vmul(X5,X6) = vmul(X6,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f57,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK0)) != vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(forward_demodulation,[],[f55,f45]) ).
fof(f45,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X11,X12] : vplus(X12,X11) = vplus(X11,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f55,plain,
vmul(vd448,vmul(vd449,vplus(sK0,v1))) != vmul(vmul(vd448,vd449),vplus(sK0,v1)),
inference(definition_unfolding,[],[f48,f37,f37]) ).
fof(f37,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X13,X14] :
( vplus(X13,vsucc(X14)) = vsucc(vplus(X13,X14))
& vplus(X13,v1) = vsucc(X13) ),
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(f48,plain,
vmul(vmul(vd448,vd449),vsucc(sK0)) != vmul(vd448,vmul(vd449,vsucc(sK0))),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( vmul(vmul(vd448,vd449),vsucc(sK0)) != vmul(vd448,vmul(vd449,vsucc(sK0)))
& vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f33]) ).
fof(f33,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(sK0)) != vmul(vd448,vmul(vd449,vsucc(sK0)))
& vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,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(f188,plain,
vmul(vmul(vd449,vd448),vplus(v1,sK0)) = vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(forward_demodulation,[],[f187,f45]) ).
fof(f187,plain,
vmul(vd448,vmul(vd449,vplus(sK0,v1))) = vmul(vmul(vd449,vd448),vplus(v1,sK0)),
inference(forward_demodulation,[],[f186,f122]) ).
fof(f122,plain,
! [X6,X5] : vplus(X5,vmul(X5,X6)) = vmul(X5,vplus(X6,v1)),
inference(superposition,[],[f45,f52]) ).
fof(f52,plain,
! [X0,X1] : vplus(vmul(X1,X0),X1) = vmul(X1,vplus(X0,v1)),
inference(definition_unfolding,[],[f41,f37]) ).
fof(f41,plain,
! [X0,X1] : vplus(vmul(X1,X0),X1) = vmul(X1,vsucc(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( vmul(X1,v1) = X1
& vplus(vmul(X1,X0),X1) = vmul(X1,vsucc(X0)) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X10,X9] :
( vmul(X9,vsucc(X10)) = vplus(vmul(X9,X10),X9)
& vmul(X9,v1) = X9 ),
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(f186,plain,
vmul(vd448,vplus(vd449,vmul(vd449,sK0))) = vmul(vmul(vd449,vd448),vplus(v1,sK0)),
inference(forward_demodulation,[],[f182,f137]) ).
fof(f137,plain,
! [X2,X3,X4] : vmul(X2,vplus(X3,X4)) = vplus(vmul(X3,X2),vmul(X2,X4)),
inference(superposition,[],[f38,f40]) ).
fof(f38,plain,
! [X2,X0,X1] : vmul(X1,vplus(X2,X0)) = vplus(vmul(X1,X2),vmul(X1,X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] : vmul(X1,vplus(X2,X0)) = vplus(vmul(X1,X2),vmul(X1,X0)),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0,X2,X1] : vplus(vmul(X2,X1),vmul(X2,X0)) = vmul(X2,vplus(X1,X0)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X3,X2] : 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(f182,plain,
vplus(vmul(vd449,vd448),vmul(vd448,vmul(vd449,sK0))) = vmul(vmul(vd449,vd448),vplus(v1,sK0)),
inference(superposition,[],[f102,f45]) ).
fof(f102,plain,
vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd449,vd448)) = vmul(vmul(vd449,vd448),vplus(v1,sK0)),
inference(forward_demodulation,[],[f101,f45]) ).
fof(f101,plain,
vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd449,vd448)) = vmul(vmul(vd449,vd448),vplus(sK0,v1)),
inference(forward_demodulation,[],[f95,f40]) ).
fof(f95,plain,
vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd449,vd448)) = vmul(vplus(sK0,v1),vmul(vd449,vd448)),
inference(superposition,[],[f51,f69]) ).
fof(f69,plain,
vmul(sK0,vmul(vd449,vd448)) = vmul(vd448,vmul(vd449,sK0)),
inference(forward_demodulation,[],[f68,f40]) ).
fof(f68,plain,
vmul(sK0,vmul(vd448,vd449)) = vmul(vd448,vmul(vd449,sK0)),
inference(superposition,[],[f47,f40]) ).
fof(f47,plain,
vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
! [X0,X1] : vmul(vplus(X1,v1),X0) = vplus(vmul(X1,X0),X0),
inference(definition_unfolding,[],[f39,f37]) ).
fof(f39,plain,
! [X0,X1] : vmul(vsucc(X1),X0) = vplus(vmul(X1,X0),X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] : vmul(vsucc(X1),X0) = vplus(vmul(X1,X0),X0),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X1,X0] : vplus(vmul(X0,X1),X1) = vmul(vsucc(X0),X1),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X7,X8] : vmul(vsucc(X7),X8) = vplus(vmul(X7,X8),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 09:11:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (3107)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (3102)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)
% 0.19/0.50 % (3101)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)
% 0.19/0.51 % (3110)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)
% 0.19/0.51 % (3104)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)
% 0.19/0.51 % (3105)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 % (3107)Instruction limit reached!
% 0.19/0.51 % (3107)------------------------------
% 0.19/0.51 % (3107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (3107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (3107)Termination reason: Unknown
% 0.19/0.51 % (3107)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (3107)Memory used [KB]: 5373
% 0.19/0.51 % (3107)Time elapsed: 0.092 s
% 0.19/0.51 % (3107)Instructions burned: 2 (million)
% 0.19/0.51 % (3107)------------------------------
% 0.19/0.51 % (3107)------------------------------
% 0.19/0.51 % (3099)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)
% 0.19/0.51 % (3109)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (3114)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 % (3101)First to succeed.
% 0.19/0.52 % (3118)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (3112)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (3124)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (3106)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 % (3127)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)
% 0.19/0.53 % (3128)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (3119)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)
% 0.19/0.53 % (3129)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)
% 0.19/0.53 % (3126)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 % (3103)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (3123)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 % (3101)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (3101)------------------------------
% 0.19/0.53 % (3101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (3101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (3101)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (3101)Memory used [KB]: 1023
% 0.19/0.53 % (3101)Time elapsed: 0.106 s
% 0.19/0.53 % (3101)Instructions burned: 9 (million)
% 0.19/0.53 % (3101)------------------------------
% 0.19/0.53 % (3101)------------------------------
% 0.19/0.53 % (3096)Success in time 0.182 s
%------------------------------------------------------------------------------