TSTP Solution File: GRP043-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP043-2 : 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 : n020.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 Apr 30 11:51:00 EDT 2024
% Result : Unsatisfiable 0.10s 0.34s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,plain,
$false,
inference(subsumption_resolution,[],[f39,f10]) ).
fof(f10,axiom,
~ equalish(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity) ).
fof(f39,plain,
equalish(a,c),
inference(resolution,[],[f29,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f4,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f29,plain,
product(identity,a,c),
inference(resolution,[],[f26,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ product(X0,X1,b)
| product(X0,X1,c) ),
inference(resolution,[],[f7,f9]) ).
fof(f9,axiom,
equalish(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_equals_c) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X0,X1)
| ~ product(X3,X2,X0)
| product(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).
fof(f26,plain,
product(identity,a,b),
inference(resolution,[],[f14,f1]) ).
fof(f14,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| product(X0,X1,b) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP043-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 04:22:47 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (16915)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33 % (16919)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.33 % (16918)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)
% 0.10/0.33 % (16916)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.33 % (16922)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)
% 0.10/0.33 % (16921)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.33 % (16917)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.33 % (16920)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.33 TRYING [1]
% 0.10/0.33 TRYING [1]
% 0.10/0.33 TRYING [1]
% 0.10/0.33 TRYING [2]
% 0.10/0.33 TRYING [2]
% 0.10/0.33 TRYING [1]
% 0.10/0.33 TRYING [2]
% 0.10/0.33 TRYING [2]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 % (16921)First to succeed.
% 0.10/0.34 TRYING [3]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 % (16921)Refutation found. Thanks to Tanya!
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.34 % (16921)------------------------------
% 0.10/0.34 % (16921)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.34 % (16921)Termination reason: Refutation
% 0.10/0.34
% 0.10/0.34 % (16921)Memory used [KB]: 767
% 0.10/0.34 % (16921)Time elapsed: 0.003 s
% 0.10/0.34 % (16921)Instructions burned: 3 (million)
% 0.10/0.34 % (16921)------------------------------
% 0.10/0.34 % (16921)------------------------------
% 0.10/0.34 % (16915)Success in time 0.018 s
%------------------------------------------------------------------------------