TSTP Solution File: RNG006-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG006-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 May 21 02:40:26 EDT 2024
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f863,plain,
$false,
inference(resolution,[],[f858,f22]) ).
fof(f22,axiom,
product(a,b,aPb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f858,plain,
~ product(a,b,aPb),
inference(resolution,[],[f853,f23]) ).
fof(f23,axiom,
product(a,c,aPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c) ).
fof(f853,plain,
( ~ product(a,c,aPc)
| ~ product(a,b,aPb) ),
inference(resolution,[],[f844,f18]) ).
fof(f18,axiom,
! [X10,X11,X12] :
( product(X10,additive_inverse(X11),additive_inverse(X12))
| ~ product(X10,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_lemma1) ).
fof(f844,plain,
( ~ product(a,additive_inverse(c),additive_inverse(aPc))
| ~ product(a,b,aPb) ),
inference(resolution,[],[f679,f24]) ).
fof(f24,axiom,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aPb_plus_IaPc) ).
fof(f679,plain,
! [X0,X1] :
( ~ sum(X0,X1,aPb_S_IaPc)
| ~ product(a,additive_inverse(c),X1)
| ~ product(a,b,X0) ),
inference(resolution,[],[f407,f21]) ).
fof(f21,axiom,
sum(b,additive_inverse(c),bS_Ic),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_inverse_c) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ sum(X3,X0,bS_Ic)
| ~ sum(X2,X1,aPb_S_IaPc)
| ~ product(a,X0,X1)
| ~ product(a,X3,X2) ),
inference(resolution,[],[f13,f25]) ).
fof(f25,axiom,
~ product(a,bS_Ic,aPb_S_IaPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_bS_Ic_is_aPb_S__IaPc) ).
fof(f13,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( product(X0,X8,X9)
| ~ product(X0,X3,X7)
| ~ sum(X6,X7,X9)
| ~ sum(X1,X3,X8)
| ~ product(X0,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG006-1 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 11:59:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (6114)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (6117)WARNING: value z3 for option sas not known
% 0.13/0.36 % (6118)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (6116)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (6120)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)
% 0.13/0.36 % (6119)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)
% 0.13/0.36 % (6117)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)
% 0.13/0.36 % (6115)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (6121)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)
% 0.13/0.36 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.19/0.39 TRYING [3]
% 0.19/0.39 TRYING [4]
% 0.19/0.44 % (6120)First to succeed.
% 0.19/0.44 % (6120)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6114"
% 0.19/0.44 % (6120)Refutation found. Thanks to Tanya!
% 0.19/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.44 % (6120)------------------------------
% 0.19/0.44 % (6120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.44 % (6120)Termination reason: Refutation
% 0.19/0.44
% 0.19/0.44 % (6120)Memory used [KB]: 1530
% 0.19/0.44 % (6120)Time elapsed: 0.079 s
% 0.19/0.44 % (6120)Instructions burned: 152 (million)
% 0.19/0.44 % (6114)Success in time 0.085 s
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