TSTP Solution File: NUM613+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM613+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 : Tue Apr 30 14:35:39 EDT 2024
% Result : Theorem 3.48s 0.86s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 48 ( 28 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 22 ~; 18 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11485,plain,
$false,
inference(trivial_inequality_removal,[],[f11472]) ).
fof(f11472,plain,
xk != xk,
inference(superposition,[],[f356,f10799]) ).
fof(f10799,plain,
xk = sbrdtbr0(xP),
inference(resolution,[],[f10787,f401]) ).
fof(f401,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(f10787,plain,
( ~ aElementOf0(xk,szNzAzT0)
| xk = sbrdtbr0(xP) ),
inference(resolution,[],[f8605,f407]) ).
fof(f407,plain,
aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(cnf_transformation,[],[f109]) ).
fof(f109,axiom,
( aElementOf0(sbrdtbr0(xP),szNzAzT0)
& sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP))
& szszuzczcdt0(xk) = sbrdtbr0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5255) ).
fof(f8605,plain,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| xk = sbrdtbr0(xP)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(trivial_inequality_removal,[],[f8600]) ).
fof(f8600,plain,
( xK != xK
| xk = sbrdtbr0(xP)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f2256,f613]) ).
fof(f613,plain,
xK = szszuzczcdt0(sbrdtbr0(xP)),
inference(backward_demodulation,[],[f406,f612]) ).
fof(f612,plain,
xK = sbrdtbr0(xQ),
inference(forward_demodulation,[],[f405,f402]) ).
fof(f402,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f405,plain,
szszuzczcdt0(xk) = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f109]) ).
fof(f406,plain,
sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP)),
inference(cnf_transformation,[],[f109]) ).
fof(f2256,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| xk = X0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f573,f402]) ).
fof(f573,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f356,plain,
xk != sbrdtbr0(xP),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
xk != sbrdtbr0(xP),
inference(flattening,[],[f111]) ).
fof(f111,negated_conjecture,
xk != sbrdtbr0(xP),
inference(negated_conjecture,[],[f110]) ).
fof(f110,conjecture,
xk = sbrdtbr0(xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM613+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:16:43 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (24015)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (24018)WARNING: value z3 for option sas not known
% 0.15/0.38 % (24017)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (24019)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (24016)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (24018)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)
% 0.15/0.38 % (24021)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)
% 0.15/0.38 % (24020)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)
% 0.15/0.38 % (24022)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)
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.40 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.43 TRYING [3]
% 0.21/0.52 TRYING [4]
% 1.25/0.53 TRYING [4]
% 1.36/0.61 TRYING [1]
% 1.36/0.61 TRYING [2]
% 1.36/0.62 TRYING [3]
% 2.03/0.64 TRYING [5]
% 2.03/0.68 TRYING [4]
% 2.42/0.69 TRYING [5]
% 3.48/0.85 TRYING [5]
% 3.48/0.86 % (24021)First to succeed.
% 3.48/0.86 % (24021)Refutation found. Thanks to Tanya!
% 3.48/0.86 % SZS status Theorem for theBenchmark
% 3.48/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/0.86 % (24021)------------------------------
% 3.48/0.86 % (24021)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.48/0.86 % (24021)Termination reason: Refutation
% 3.48/0.86
% 3.48/0.86 % (24021)Memory used [KB]: 10140
% 3.48/0.86 % (24021)Time elapsed: 0.488 s
% 3.48/0.86 % (24021)Instructions burned: 1097 (million)
% 3.48/0.86 % (24021)------------------------------
% 3.48/0.86 % (24021)------------------------------
% 3.48/0.86 % (24015)Success in time 0.498 s
%------------------------------------------------------------------------------