TSTP Solution File: RNG041-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG041-1 : 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 : n014.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 08:55:19 EDT 2024
% Result : Unsatisfiable 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 27 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f378,plain,
$false,
inference(subsumption_resolution,[],[f370,f26]) ).
fof(f26,axiom,
additive_identity != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
fof(f370,plain,
additive_identity = b,
inference(resolution,[],[f367,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X1,X0)
| X0 = X1 ),
inference(resolution,[],[f17,f21]) ).
fof(f21,axiom,
! [X10] : product(multiplicative_identity,X10,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_multiplicative_identity) ).
fof(f17,axiom,
! [X2,X0,X1,X4] :
( ~ product(X0,X1,X4)
| X2 = X4
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f367,plain,
product(multiplicative_identity,b,additive_identity),
inference(resolution,[],[f336,f19]) ).
fof(f19,axiom,
! [X10] : product(X10,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f336,plain,
! [X0] :
( ~ product(h(a),additive_identity,X0)
| product(multiplicative_identity,b,X0) ),
inference(subsumption_resolution,[],[f335,f25]) ).
fof(f25,axiom,
additive_identity != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).
fof(f335,plain,
! [X0] :
( ~ product(h(a),additive_identity,X0)
| product(multiplicative_identity,b,X0)
| additive_identity = a ),
inference(resolution,[],[f300,f23]) ).
fof(f23,axiom,
! [X10] :
( product(h(X10),X10,multiplicative_identity)
| additive_identity = X10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ product(X0,a,X2)
| ~ product(X0,additive_identity,X1)
| product(X2,b,X1) ),
inference(resolution,[],[f11,f24]) ).
fof(f24,axiom,
product(a,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| ~ product(X0,X1,X2)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 18:14:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (1376)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (1381)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (1380)WARNING: value z3 for option sas not known
% 0.13/0.37 % (1379)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (1378)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (1380)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)
% 0.13/0.37 % (1382)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)
% 0.13/0.37 % (1383)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)
% 0.13/0.37 % (1384)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)
% 0.13/0.37 TRYING [4]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 % (1380)First to succeed.
% 0.13/0.39 % (1380)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1376"
% 0.13/0.39 % (1380)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (1380)------------------------------
% 0.13/0.39 % (1380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (1380)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (1380)Memory used [KB]: 902
% 0.13/0.39 % (1380)Time elapsed: 0.019 s
% 0.13/0.39 % (1380)Instructions burned: 21 (million)
% 0.13/0.39 % (1376)Success in time 0.035 s
%------------------------------------------------------------------------------