TSTP Solution File: RNG039-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG039-2 : 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 : n012.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 08:55:18 EDT 2024
% Result : Unsatisfiable 5.21s 1.12s
% Output : Refutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 39 ( 22 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 26 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49247,plain,
$false,
inference(subsumption_resolution,[],[f49246,f74]) ).
fof(f74,axiom,
~ equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f49246,plain,
equalish(c,d),
inference(resolution,[],[f43353,f43413]) ).
fof(f43413,plain,
equalish(additive_identity,d),
inference(resolution,[],[f43303,f1406]) ).
fof(f1406,plain,
! [X0,X1] :
( ~ product(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f29,f71]) ).
fof(f71,axiom,
! [X10] : product(X10,X10,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f29,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X5)
| equalish(X4,X5)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f43303,plain,
product(d,d,additive_identity),
inference(resolution,[],[f43267,f4842]) ).
fof(f4842,plain,
! [X0] :
( ~ product(a,X0,additive_identity)
| product(d,X0,additive_identity) ),
inference(resolution,[],[f3006,f27]) ).
fof(f27,axiom,
! [X0] : product(X0,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f3006,plain,
! [X2,X0,X1] :
( ~ product(b,X0,X1)
| ~ product(a,X2,X0)
| product(d,X2,X1) ),
inference(resolution,[],[f21,f73]) ).
fof(f73,axiom,
product(b,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a) ).
fof(f21,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X0,X5,X2)
| ~ product(X1,X3,X5)
| product(X4,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiplication2) ).
fof(f43267,plain,
product(a,d,additive_identity),
inference(resolution,[],[f43255,f1127]) ).
fof(f1127,plain,
! [X0] :
( ~ equalish(multiply(c,a),X0)
| product(a,d,X0) ),
inference(resolution,[],[f10,f53]) ).
fof(f53,axiom,
product(a,d,multiply(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X3,X0)
| ~ equalish(X0,X1)
| product(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).
fof(f43255,plain,
equalish(multiply(c,a),additive_identity),
inference(resolution,[],[f42926,f1435]) ).
fof(f1435,plain,
! [X0,X1] :
( ~ product(additive_identity,X1,X0)
| equalish(X0,additive_identity) ),
inference(resolution,[],[f29,f26]) ).
fof(f26,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f42926,plain,
! [X0] : product(X0,d,multiply(c,a)),
inference(resolution,[],[f42888,f1104]) ).
fof(f1104,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| product(X0,X1,X2) ),
inference(resolution,[],[f10,f15]) ).
fof(f15,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f42888,plain,
! [X0] : equalish(multiply(X0,d),multiply(c,a)),
inference(resolution,[],[f42887,f1442]) ).
fof(f1442,plain,
! [X0] :
( ~ product(a,d,X0)
| equalish(X0,multiply(c,a)) ),
inference(resolution,[],[f29,f53]) ).
fof(f42887,plain,
! [X0] : product(a,d,multiply(X0,d)),
inference(resolution,[],[f1005,f1743]) ).
fof(f1743,plain,
equalish(multiply(b,d),d),
inference(resolution,[],[f1451,f60]) ).
fof(f60,axiom,
product(b,a,multiply(b,d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f1451,plain,
! [X0] :
( ~ product(b,a,X0)
| equalish(X0,d) ),
inference(resolution,[],[f29,f73]) ).
fof(f1005,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(b,X0),X1)
| product(a,X1,multiply(X2,X0)) ),
inference(resolution,[],[f9,f46]) ).
fof(f46,axiom,
! [X10,X11] : product(a,multiply(b,X10),multiply(X11,X10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X0,X3)
| ~ equalish(X0,X1)
| product(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution2) ).
fof(f43353,plain,
! [X0] :
( ~ equalish(additive_identity,X0)
| equalish(c,X0) ),
inference(resolution,[],[f43320,f12]) ).
fof(f12,axiom,
! [X3,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X3)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f43320,plain,
equalish(c,additive_identity),
inference(resolution,[],[f43268,f1435]) ).
fof(f43268,plain,
product(additive_identity,b,c),
inference(resolution,[],[f43255,f875]) ).
fof(f875,plain,
! [X0] :
( ~ equalish(multiply(c,a),X0)
| product(X0,b,c) ),
inference(resolution,[],[f8,f57]) ).
fof(f57,axiom,
product(multiply(c,a),b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X2,X3)
| ~ equalish(X0,X1)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG039-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n012.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 : Fri May 3 18:20:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (19027)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (19028)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (19029)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (19030)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37 % (19032)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (19031)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (19033)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (19034)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.41 TRYING [4]
% 0.15/0.41 TRYING [4]
% 0.15/0.42 TRYING [4]
% 0.15/0.42 TRYING [4]
% 0.21/0.49 TRYING [5]
% 0.21/0.49 TRYING [5]
% 0.21/0.49 TRYING [5]
% 0.21/0.51 TRYING [5]
% 1.73/0.61 TRYING [6]
% 2.06/0.63 TRYING [6]
% 2.14/0.65 TRYING [6]
% 2.14/0.68 TRYING [6]
% 3.83/0.89 TRYING [7]
% 4.25/0.95 TRYING [7]
% 4.25/0.97 TRYING [7]
% 5.21/1.11 % (19032)First to succeed.
% 5.21/1.12 % (19032)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19027"
% 5.21/1.12 % (19032)Refutation found. Thanks to Tanya!
% 5.21/1.12 % SZS status Unsatisfiable for theBenchmark
% 5.21/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 5.21/1.12 % (19032)------------------------------
% 5.21/1.12 % (19032)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.21/1.12 % (19032)Termination reason: Refutation
% 5.21/1.12
% 5.21/1.12 % (19032)Memory used [KB]: 12724
% 5.21/1.12 % (19032)Time elapsed: 0.746 s
% 5.21/1.12 % (19032)Instructions burned: 2403 (million)
% 5.21/1.12 % (19027)Success in time 0.734 s
%------------------------------------------------------------------------------