TSTP Solution File: NUM849+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --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 18:02:35 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 20 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 12 ~; 4 |; 9 &)
% ( 0 <=>; 5 =>; 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 : 42 ( 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f74,plain,
$false,
inference(subsumption_resolution,[],[f73,f54]) ).
fof(f54,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK0)) != vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(forward_demodulation,[],[f51,f42]) ).
fof(f42,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X12,X11] : vplus(X12,X11) = vplus(X11,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f51,plain,
vmul(vmul(vd448,vd449),vplus(sK0,v1)) != vmul(vd448,vmul(vd449,vplus(sK0,v1))),
inference(definition_unfolding,[],[f44,f46,f46]) ).
fof(f46,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,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/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f44,plain,
vmul(vd448,vmul(vd449,vsucc(sK0))) != vmul(vmul(vd448,vd449),vsucc(sK0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( vmul(vd448,vmul(vd449,vsucc(sK0))) != vmul(vmul(vd448,vd449),vsucc(sK0))
& vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f31]) ).
fof(f31,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(vd448,vmul(vd449,vsucc(sK0))) != vmul(vmul(vd448,vd449),vsucc(sK0))
& vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,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/sandbox/benchmark/theBenchmark.p','qu(ind(296), imp(296))') ).
fof(f73,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK0)) = vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(forward_demodulation,[],[f72,f42]) ).
fof(f72,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK0)) = vmul(vd448,vmul(vd449,vplus(sK0,v1))),
inference(forward_demodulation,[],[f71,f50]) ).
fof(f50,plain,
! [X0,X1] : vmul(X0,vplus(X1,v1)) = vplus(vmul(X0,X1),X0),
inference(definition_unfolding,[],[f41,f46]) ).
fof(f41,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0)
& vmul(X0,v1) = X0 ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( vmul(X1,vsucc(X0)) = vplus(vmul(X1,X0),X1)
& vmul(X1,v1) = X1 ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X10,X9] :
( vmul(X9,vsucc(X10)) = vplus(vmul(X9,X10),X9)
& vmul(X9,v1) = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f71,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK0)) = vmul(vd448,vplus(vmul(vd449,sK0),vd449)),
inference(forward_demodulation,[],[f70,f42]) ).
fof(f70,plain,
vmul(vd448,vplus(vmul(vd449,sK0),vd449)) = vmul(vmul(vd448,vd449),vplus(sK0,v1)),
inference(forward_demodulation,[],[f69,f37]) ).
fof(f37,plain,
! [X2,X0,X1] : vplus(vmul(X1,X0),vmul(X1,X2)) = vmul(X1,vplus(X0,X2)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] : vplus(vmul(X1,X0),vmul(X1,X2)) = vmul(X1,vplus(X0,X2)),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X2,X0,X1] : vplus(vmul(X0,X2),vmul(X0,X1)) = vmul(X0,vplus(X2,X1)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X4,X3] : vmul(X2,vplus(X3,X4)) = vplus(vmul(X2,X3),vmul(X2,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f69,plain,
vmul(vmul(vd448,vd449),vplus(sK0,v1)) = vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd448,vd449)),
inference(trivial_inequality_removal,[],[f60]) ).
fof(f60,plain,
( vmul(vd448,vmul(vd449,sK0)) != vmul(vd448,vmul(vd449,sK0))
| vmul(vmul(vd448,vd449),vplus(sK0,v1)) = vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd448,vd449)) ),
inference(superposition,[],[f49,f43]) ).
fof(f43,plain,
vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)),
inference(cnf_transformation,[],[f32]) ).
fof(f49,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0))
| vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) = vmul(vmul(vd448,vd449),vplus(X0,v1)) ),
inference(definition_unfolding,[],[f38,f46]) ).
fof(f38,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0))
| vmul(vmul(vd448,vd449),vsucc(X0)) = vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0))
| vmul(vmul(vd448,vd449),vsucc(X0)) = vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vmul(vmul(vd448,vd449),vsucc(X0)) = vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1] :
( vmul(vmul(vd448,vd449),X1) = vmul(vd448,vmul(vd449,X1))
=> vplus(vmul(vmul(vd448,vd449),X1),vmul(vd448,vd449)) = vmul(vmul(vd448,vd449),vsucc(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(292), 1), 3)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n007.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 08:48:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 % (24108)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.45 % (24108)Refutation not found, incomplete strategy% (24108)------------------------------
% 0.20/0.45 % (24108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45 % (24108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45 % (24108)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45 % (24108)Memory used [KB]: 5884
% 0.20/0.45 % (24108)Time elapsed: 0.049 s
% 0.20/0.45 % (24108)Instructions burned: 3 (million)
% 0.20/0.45 % (24108)------------------------------
% 0.20/0.45 % (24108)------------------------------
% 0.20/0.50 % (24080)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (24080)First to succeed.
% 0.20/0.50 % (24154)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 0.20/0.50 % (24088)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (24084)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.51 % (24096)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (24096)Instruction limit reached!
% 0.20/0.51 % (24096)------------------------------
% 0.20/0.51 % (24096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24096)Termination reason: Unknown
% 0.20/0.51 % (24096)Termination phase: Finite model building preprocessing
% 0.20/0.51
% 0.20/0.51 % (24096)Memory used [KB]: 1407
% 0.20/0.51 % (24096)Time elapsed: 0.003 s
% 0.20/0.51 % (24096)Instructions burned: 4 (million)
% 0.20/0.51 % (24096)------------------------------
% 0.20/0.51 % (24096)------------------------------
% 0.20/0.51 % (24154)Also succeeded, but the first one will report.
% 0.20/0.51 % (24080)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (24080)------------------------------
% 0.20/0.51 % (24080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24080)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (24080)Memory used [KB]: 5884
% 0.20/0.51 % (24080)Time elapsed: 0.101 s
% 0.20/0.51 % (24080)Instructions burned: 2 (million)
% 0.20/0.51 % (24080)------------------------------
% 0.20/0.51 % (24080)------------------------------
% 0.20/0.51 % (24076)Success in time 0.164 s
%------------------------------------------------------------------------------