TSTP Solution File: NUM849+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 08:42:35 EDT 2024
% Result : Theorem 0.11s 0.37s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 19 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 6 |; 6 &)
% ( 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 : 29 ( 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f796,plain,
$false,
inference(trivial_inequality_removal,[],[f785]) ).
fof(f785,plain,
vmul(vd448,vmul(vd449,vsucc(sK0))) != vmul(vd448,vmul(vd449,vsucc(sK0))),
inference(superposition,[],[f84,f774]) ).
fof(f774,plain,
vmul(vd448,vmul(vd449,vsucc(sK0))) = vmul(vsucc(sK0),vmul(vd449,vd448)),
inference(backward_demodulation,[],[f165,f773]) ).
fof(f773,plain,
vmul(vd448,vmul(vd449,vsucc(sK0))) = vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd449,vd448)),
inference(trivial_inequality_removal,[],[f769]) ).
fof(f769,plain,
( vmul(vd448,vmul(vd449,sK0)) != vmul(vd448,vmul(vd449,sK0))
| vmul(vd448,vmul(vd449,vsucc(sK0))) = vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd449,vd448)) ),
inference(superposition,[],[f49,f63]) ).
fof(f63,plain,
vmul(vd448,vmul(vd449,sK0)) = vmul(vmul(vd449,vd448),sK0),
inference(superposition,[],[f31,f39]) ).
fof(f39,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X5,X6] : vmul(X5,X6) = vmul(X6,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f31,plain,
vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,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])],[f24,f29]) ).
fof(f29,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(f24,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(f49,plain,
! [X0] :
( vmul(vd448,vmul(vd449,X0)) != vmul(vmul(vd449,vd448),X0)
| vmul(vd448,vmul(vd449,vsucc(X0))) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd449,vd448)) ),
inference(forward_demodulation,[],[f48,f39]) ).
fof(f48,plain,
! [X0] :
( vmul(vd448,vmul(vd449,vsucc(X0))) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd449,vd448))
| vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ),
inference(forward_demodulation,[],[f47,f39]) ).
fof(f47,plain,
! [X0] :
( vmul(vd448,vmul(vd449,vsucc(X0))) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449))
| vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ),
inference(backward_demodulation,[],[f36,f43]) ).
fof(f43,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X9,X10] :
( vmul(X9,v1) = X9
& vmul(X9,vsucc(X10)) = vplus(vmul(X9,X10),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(f36,plain,
! [X0] :
( vmul(vd448,vplus(vmul(vd449,X0),vd449)) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449))
| vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( vmul(vd448,vplus(vmul(vd449,X0),vd449)) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449))
| vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vmul(vd448,vplus(vmul(vd449,X0),vd449)) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1] :
( vmul(vmul(vd448,vd449),X1) = vmul(vd448,vmul(vd449,X1))
=> vmul(vd448,vplus(vmul(vd449,X1),vd449)) = vplus(vmul(vd448,vmul(vd449,X1)),vmul(vd448,vd449)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(292), 1), 1)') ).
fof(f165,plain,
vmul(vsucc(sK0),vmul(vd449,vd448)) = vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd449,vd448)),
inference(superposition,[],[f40,f68]) ).
fof(f68,plain,
vmul(vd448,vmul(vd449,sK0)) = vmul(sK0,vmul(vd449,vd448)),
inference(forward_demodulation,[],[f59,f39]) ).
fof(f59,plain,
vmul(vd448,vmul(vd449,sK0)) = vmul(sK0,vmul(vd448,vd449)),
inference(superposition,[],[f39,f31]) ).
fof(f40,plain,
! [X0,X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X7,X8] : vmul(vsucc(X7),X8) = vplus(vmul(X7,X8),X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
fof(f84,plain,
vmul(vd448,vmul(vd449,vsucc(sK0))) != vmul(vsucc(sK0),vmul(vd449,vd448)),
inference(forward_demodulation,[],[f82,f39]) ).
fof(f82,plain,
vmul(vd448,vmul(vd449,vsucc(sK0))) != vmul(vsucc(sK0),vmul(vd448,vd449)),
inference(superposition,[],[f32,f39]) ).
fof(f32,plain,
vmul(vmul(vd448,vd449),vsucc(sK0)) != vmul(vd448,vmul(vd449,vsucc(sK0))),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 15:25:38 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (13011)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (13012)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (13014)WARNING: value z3 for option sas not known
% 0.11/0.34 % (13015)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (13018)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 % (13014)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (13017)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (13013)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (13016)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [3]
% 0.11/0.37 TRYING [3]
% 0.11/0.37 % (13017)First to succeed.
% 0.11/0.37 % (13017)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13011"
% 0.11/0.37 TRYING [4]
% 0.11/0.37 % (13017)Refutation found. Thanks to Tanya!
% 0.11/0.37 % SZS status Theorem for theBenchmark
% 0.11/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.37 % (13017)------------------------------
% 0.11/0.37 % (13017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.37 % (13017)Termination reason: Refutation
% 0.11/0.37
% 0.11/0.37 % (13017)Memory used [KB]: 1039
% 0.11/0.37 % (13017)Time elapsed: 0.027 s
% 0.11/0.37 % (13017)Instructions burned: 50 (million)
% 0.11/0.37 % (13011)Success in time 0.043 s
%------------------------------------------------------------------------------