TSTP Solution File: RNG004-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG004-3 : 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 : n028.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 08:54:50 EDT 2024
% Result : Unsatisfiable 10.49s 1.88s
% Output : Refutation 10.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 39 ( 20 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 75 ( 38 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85233,plain,
$false,
inference(subsumption_resolution,[],[f85192,f34]) ).
fof(f34,axiom,
~ equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f85192,plain,
equalish(c,d),
inference(resolution,[],[f85151,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ sum(additive_identity,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f28,f13]) ).
fof(f13,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f28,axiom,
! [X0,X1,X4,X5] :
( ~ sum(X0,X1,X5)
| equalish(X4,X5)
| ~ sum(X0,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f85151,plain,
sum(additive_identity,d,c),
inference(resolution,[],[f85126,f6115]) ).
fof(f6115,plain,
! [X0,X1] :
( ~ sum(additive_inverse(X0),X1,additive_identity)
| sum(additive_identity,X1,X0) ),
inference(resolution,[],[f533,f14]) ).
fof(f14,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f533,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(additive_inverse(X0),X3,X1)
| sum(additive_identity,X3,X2) ),
inference(resolution,[],[f20,f18]) ).
fof(f18,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f20,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X4)
| ~ sum(X0,X5,X3)
| ~ sum(X1,X2,X5)
| sum(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f85126,plain,
sum(additive_inverse(c),d,additive_identity),
inference(resolution,[],[f85118,f21]) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f85118,plain,
sum(d,additive_inverse(c),additive_identity),
inference(subsumption_resolution,[],[f85086,f17]) ).
fof(f17,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f85086,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| sum(d,additive_inverse(c),additive_identity) ),
inference(resolution,[],[f85043,f17475]) ).
fof(f17475,plain,
! [X0,X1] :
( ~ product(X0,additive_inverse(b),X1)
| ~ sum(additive_inverse(a),X0,additive_identity)
| sum(d,X1,additive_identity) ),
inference(resolution,[],[f1319,f30]) ).
fof(f30,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f1319,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,additive_inverse(b),X1)
| ~ product(X2,additive_inverse(b),X3)
| ~ sum(additive_inverse(a),X2,X0)
| sum(d,X3,X1) ),
inference(resolution,[],[f26,f33]) ).
fof(f33,axiom,
product(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b_inverse) ).
fof(f26,axiom,
! [X2,X0,X1,X8,X6,X9,X7] :
( ~ product(X1,X0,X6)
| ~ product(X8,X0,X9)
| ~ product(X2,X0,X7)
| ~ sum(X1,X2,X8)
| sum(X6,X7,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f85043,plain,
product(a,additive_inverse(b),additive_inverse(c)),
inference(resolution,[],[f85015,f101]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| product(X0,X1,X2) ),
inference(resolution,[],[f12,f15]) ).
fof(f15,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X2,X0)
| ~ equalish(X0,X1)
| product(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).
fof(f85015,plain,
equalish(multiply(a,additive_inverse(b)),additive_inverse(c)),
inference(resolution,[],[f84969,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
fof(f84969,plain,
equalish(additive_inverse(c),multiply(a,additive_inverse(b))),
inference(resolution,[],[f84902,f110]) ).
fof(f84902,plain,
sum(additive_identity,multiply(a,additive_inverse(b)),additive_inverse(c)),
inference(resolution,[],[f84884,f5900]) ).
fof(f5900,plain,
! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_identity,X1,additive_inverse(X0)) ),
inference(resolution,[],[f530,f14]) ).
fof(f530,plain,
! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ sum(X0,X3,X1)
| sum(additive_identity,X3,X2) ),
inference(resolution,[],[f20,f17]) ).
fof(f84884,plain,
sum(c,multiply(a,additive_inverse(b)),additive_identity),
inference(resolution,[],[f42865,f18]) ).
fof(f42865,plain,
! [X0] :
( ~ sum(b,X0,additive_identity)
| sum(c,multiply(a,X0),additive_identity) ),
inference(resolution,[],[f9280,f15]) ).
fof(f9280,plain,
! [X0,X1] :
( ~ product(a,X0,X1)
| ~ sum(b,X0,additive_identity)
| sum(c,X1,additive_identity) ),
inference(resolution,[],[f851,f31]) ).
fof(f31,axiom,
! [X0] : product(X0,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f851,plain,
! [X2,X3,X0,X1] :
( ~ product(a,X0,X1)
| ~ product(a,X2,X3)
| ~ sum(b,X2,X0)
| sum(c,X3,X1) ),
inference(resolution,[],[f24,f32]) ).
fof(f32,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
fof(f24,axiom,
! [X2,X0,X1,X8,X6,X9,X7] :
( ~ product(X0,X1,X6)
| ~ product(X0,X8,X9)
| ~ product(X0,X2,X7)
| ~ sum(X1,X2,X8)
| sum(X6,X7,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : RNG004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 18:19:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (14466)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (14470)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 % (14467)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36 % (14468)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (14469)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)
% 0.14/0.36 % (14471)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.36 % (14472)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.36 % (14473)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)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.20/0.41 TRYING [5]
% 0.20/0.46 TRYING [5]
% 0.20/0.46 TRYING [5]
% 0.20/0.48 TRYING [5]
% 0.20/0.57 TRYING [6]
% 1.87/0.61 TRYING [6]
% 2.13/0.64 TRYING [6]
% 2.13/0.67 TRYING [6]
% 3.97/0.92 TRYING [7]
% 4.21/0.93 TRYING [7]
% 4.23/0.98 TRYING [7]
% 5.28/1.15 TRYING [7]
% 9.02/1.64 TRYING [8]
% 9.02/1.67 TRYING [8]
% 9.57/1.69 TRYING [8]
% 10.49/1.88 % (14471)First to succeed.
% 10.49/1.88 % (14471)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14466"
% 10.49/1.88 % (14471)Refutation found. Thanks to Tanya!
% 10.49/1.88 % SZS status Unsatisfiable for theBenchmark
% 10.49/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 10.49/1.88 % (14471)------------------------------
% 10.49/1.88 % (14471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 10.49/1.88 % (14471)Termination reason: Refutation
% 10.49/1.88
% 10.49/1.88 % (14471)Memory used [KB]: 18961
% 10.49/1.88 % (14471)Time elapsed: 1.520 s
% 10.49/1.88 % (14471)Instructions burned: 5341 (million)
% 10.49/1.88 % (14466)Success in time 1.505 s
%------------------------------------------------------------------------------