TSTP Solution File: GRP046-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP046-2 : 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 : n009.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 05:52:51 EDT 2024
% Result : Unsatisfiable 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f364,plain,
$false,
inference(resolution,[],[f175,f32]) ).
fof(f32,plain,
~ product(a,c,multiply(b,c)),
inference(resolution,[],[f12,f9]) ).
fof(f9,axiom,
~ equalish(multiply(a,c),multiply(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_multiply_substitution1) ).
fof(f12,plain,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f4,f3]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f175,plain,
! [X0] : product(a,X0,multiply(b,X0)),
inference(resolution,[],[f67,f48]) ).
fof(f48,plain,
product(identity,b,a),
inference(resolution,[],[f40,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f40,plain,
! [X0,X1] :
( ~ product(X0,X1,b)
| product(X0,X1,a) ),
inference(resolution,[],[f35,f7]) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X0,X1)
| ~ product(X3,X2,X0)
| product(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
fof(f35,plain,
equalish(b,a),
inference(resolution,[],[f28,f1]) ).
fof(f28,plain,
! [X0] :
( ~ product(identity,a,X0)
| equalish(b,X0) ),
inference(resolution,[],[f21,f4]) ).
fof(f21,plain,
product(identity,a,b),
inference(resolution,[],[f15,f1]) ).
fof(f15,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| product(X0,X1,b) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ product(identity,X0,X1)
| product(X1,X2,multiply(X0,X2)) ),
inference(resolution,[],[f24,f1]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,multiply(X1,X2),X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) ),
inference(resolution,[],[f6,f3]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ product(X0,X5,X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP046-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:53:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (2783)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (2784)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (2789)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 TRYING [4]
% 0.14/0.39 % (2787)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (2790)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)
% 0.14/0.39 % (2788)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 % (2785)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 % (2786)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)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 % (2789)First to succeed.
% 0.14/0.40 TRYING [4]
% 0.14/0.40 % (2789)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2783"
% 0.14/0.41 TRYING [5]
% 0.14/0.41 % (2789)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41 % (2789)------------------------------
% 0.14/0.41 % (2789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.41 % (2789)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (2789)Memory used [KB]: 876
% 0.14/0.41 % (2789)Time elapsed: 0.016 s
% 0.14/0.41 % (2789)Instructions burned: 22 (million)
% 0.14/0.41 % (2783)Success in time 0.039 s
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