TSTP Solution File: NUM848+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM848+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 : n007.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 : 13
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 37 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,plain,
$false,
inference(subsumption_resolution,[],[f110,f63]) ).
fof(f63,plain,
sF3 != sF6,
inference(definition_folding,[],[f55,f62,f61,f60,f56,f59,f58,f57,f56]) ).
fof(f57,plain,
vmul(vd436,vd439) = sF1,
introduced(function_definition,[]) ).
fof(f58,plain,
vplus(sF1,vd436) = sF2,
introduced(function_definition,[]) ).
fof(f59,plain,
sF3 = vplus(sF0,sF2),
introduced(function_definition,[]) ).
fof(f56,plain,
vmul(vd436,vd437) = sF0,
introduced(function_definition,[]) ).
fof(f60,plain,
vplus(vd439,v1) = sF4,
introduced(function_definition,[]) ).
fof(f61,plain,
vmul(vd436,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f62,plain,
sF6 = vplus(sF0,sF5),
introduced(function_definition,[]) ).
fof(f55,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))),
inference(definition_unfolding,[],[f44,f34]) ).
fof(f34,plain,
! [X1] : vsucc(X1) = vplus(X1,v1),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( vsucc(vplus(X1,X0)) = vplus(X1,vsucc(X0))
& vsucc(X1) = vplus(X1,v1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X13,X12] :
( vplus(X12,vsucc(X13)) = vsucc(vplus(X12,X13))
& vplus(X12,v1) = vsucc(X12) ),
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(f44,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 4)') ).
fof(f110,plain,
sF3 = sF6,
inference(forward_demodulation,[],[f109,f59]) ).
fof(f109,plain,
sF6 = vplus(sF0,sF2),
inference(forward_demodulation,[],[f105,f58]) ).
fof(f105,plain,
sF6 = vplus(sF0,vplus(sF1,vd436)),
inference(superposition,[],[f73,f30]) ).
fof(f30,plain,
! [X2,X0,X1] : vplus(vplus(X1,X2),X0) = vplus(X1,vplus(X2,X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] : vplus(vplus(X1,X2),X0) = vplus(X1,vplus(X2,X0)),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] : vplus(X1,vplus(X0,X2)) = vplus(vplus(X1,X0),X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X10,X9,X11] : vplus(vplus(X9,X10),X11) = vplus(X9,vplus(X10,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f73,plain,
sF6 = vplus(vplus(sF0,sF1),vd436),
inference(backward_demodulation,[],[f72,f62]) ).
fof(f72,plain,
vplus(sF0,sF5) = vplus(vplus(sF0,sF1),vd436),
inference(backward_demodulation,[],[f69,f71]) ).
fof(f71,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(sF0,sF1),
inference(backward_demodulation,[],[f70,f57]) ).
fof(f70,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(sF0,vmul(vd436,vd439)),
inference(forward_demodulation,[],[f45,f56]) ).
fof(f45,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(285, 440, 0)') ).
fof(f69,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(sF0,sF5),
inference(forward_demodulation,[],[f68,f61]) ).
fof(f68,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(sF0,vmul(vd436,sF4)),
inference(forward_demodulation,[],[f67,f60]) ).
fof(f67,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(sF0,vmul(vd436,vplus(vd439,v1))),
inference(backward_demodulation,[],[f66,f47]) ).
fof(f47,plain,
! [X0,X1] : vplus(vmul(X1,X0),X1) = vmul(X1,vplus(X0,v1)),
inference(definition_unfolding,[],[f31,f34]) ).
fof(f31,plain,
! [X0,X1] : vmul(X1,vsucc(X0)) = vplus(vmul(X1,X0),X1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( vmul(X1,v1) = X1
& vmul(X1,vsucc(X0)) = vplus(vmul(X1,X0),X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
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(f66,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(sF0,vplus(vmul(vd436,vd439),vd436)),
inference(forward_demodulation,[],[f65,f30]) ).
fof(f65,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(sF0,vmul(vd436,vd439)),vd436),
inference(forward_demodulation,[],[f42,f56]) ).
fof(f42,plain,
vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 2)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 08:48:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (25245)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)
% 0.19/0.49 % (25222)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)
% 0.19/0.49 TRYING [1]
% 0.19/0.49 % (25229)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (25226)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (25226)First to succeed.
% 0.19/0.51 % (25234)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (25229)Instruction limit reached!
% 0.19/0.51 % (25229)------------------------------
% 0.19/0.51 % (25229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (25229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (25229)Termination reason: Unknown
% 0.19/0.51 % (25229)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (25229)Memory used [KB]: 5500
% 0.19/0.51 % (25229)Time elapsed: 0.112 s
% 0.19/0.51 % (25229)Instructions burned: 8 (million)
% 0.19/0.51 % (25229)------------------------------
% 0.19/0.51 % (25229)------------------------------
% 0.19/0.51 TRYING [4]
% 0.19/0.51 % (25224)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 % (25223)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)
% 0.19/0.51 % (25250)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 % (25249)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 % (25225)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 % (25247)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (25244)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)
% 0.19/0.52 % (25246)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 % (25251)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)
% 0.19/0.52 % (25227)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 % (25226)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 % (25226)------------------------------
% 0.19/0.52 % (25226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (25226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (25226)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (25226)Memory used [KB]: 5500
% 0.19/0.52 % (25226)Time elapsed: 0.113 s
% 0.19/0.52 % (25226)Instructions burned: 4 (million)
% 0.19/0.52 % (25226)------------------------------
% 0.19/0.52 % (25226)------------------------------
% 0.19/0.52 % (25221)Success in time 0.179 s
%------------------------------------------------------------------------------