TSTP Solution File: RNG040-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG040-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 14:50:24 EDT 2024
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 45 ( 10 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 43 ( 24 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1427,plain,
$false,
inference(resolution,[],[f1421,f100]) ).
fof(f100,plain,
product(a,b,l),
inference(superposition,[],[f3,f98]) ).
fof(f98,plain,
l = multiply(a,b),
inference(resolution,[],[f74,f3]) ).
fof(f74,plain,
! [X0] :
( ~ product(a,b,X0)
| l = X0 ),
inference(resolution,[],[f52,f22]) ).
fof(f22,axiom,
! [X10,X11,X12] :
( product(X11,X10,X12)
| ~ product(X10,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_symmetry) ).
fof(f52,plain,
! [X0] :
( ~ product(b,a,X0)
| l = X0 ),
inference(resolution,[],[f17,f25]) ).
fof(f25,axiom,
product(b,a,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_a) ).
fof(f17,axiom,
! [X2,X0,X1,X4] :
( ~ product(X0,X1,X4)
| ~ product(X0,X1,X2)
| X2 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f1421,plain,
~ product(a,b,l),
inference(resolution,[],[f1361,f112]) ).
fof(f112,plain,
product(a,c,n),
inference(superposition,[],[f3,f110]) ).
fof(f110,plain,
n = multiply(a,c),
inference(resolution,[],[f78,f3]) ).
fof(f78,plain,
! [X0] :
( ~ product(a,c,X0)
| n = X0 ),
inference(resolution,[],[f53,f22]) ).
fof(f53,plain,
! [X0] :
( ~ product(c,a,X0)
| n = X0 ),
inference(resolution,[],[f17,f26]) ).
fof(f26,axiom,
product(c,a,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_plus_a) ).
fof(f1361,plain,
( ~ product(a,c,n)
| ~ product(a,b,l) ),
inference(resolution,[],[f854,f94]) ).
fof(f94,plain,
product(a,d,additive_identity),
inference(superposition,[],[f3,f92]) ).
fof(f92,plain,
additive_identity = multiply(a,d),
inference(resolution,[],[f70,f3]) ).
fof(f70,plain,
! [X0] :
( ~ product(a,d,X0)
| additive_identity = X0 ),
inference(resolution,[],[f51,f22]) ).
fof(f51,plain,
! [X0] :
( ~ product(d,a,X0)
| additive_identity = X0 ),
inference(resolution,[],[f17,f24]) ).
fof(f24,axiom,
product(d,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_plus_a) ).
fof(f854,plain,
! [X0] :
( ~ product(X0,d,additive_identity)
| ~ product(X0,b,l)
| ~ product(X0,c,n) ),
inference(resolution,[],[f255,f23]) ).
fof(f23,axiom,
sum(b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_c) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( ~ sum(X3,X2,X1)
| ~ product(X0,X2,n)
| ~ product(X0,X3,l)
| ~ product(X0,X1,additive_identity) ),
inference(resolution,[],[f12,f27]) ).
fof(f27,axiom,
~ sum(l,n,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f12,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( sum(X6,X7,X9)
| ~ product(X0,X8,X9)
| ~ product(X0,X3,X7)
| ~ product(X0,X1,X6)
| ~ sum(X1,X3,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG040-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:00:33 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (18306)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (18312)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)
% 0.14/0.37 % (18309)WARNING: value z3 for option sas not known
% 0.14/0.38 % (18308)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (18307)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (18310)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (18309)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)
% 0.14/0.38 % (18311)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)
% 0.14/0.38 % (18313)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [3]
% 0.21/0.45 TRYING [5]
% 0.21/0.46 TRYING [4]
% 0.21/0.49 % (18312)First to succeed.
% 0.21/0.49 % (18312)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (18312)------------------------------
% 0.21/0.49 % (18312)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.49 % (18312)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (18312)Memory used [KB]: 1815
% 0.21/0.49 % (18312)Time elapsed: 0.121 s
% 0.21/0.49 % (18312)Instructions burned: 282 (million)
% 0.21/0.49 % (18312)------------------------------
% 0.21/0.49 % (18312)------------------------------
% 0.21/0.49 % (18306)Success in time 0.124 s
%------------------------------------------------------------------------------