TSTP Solution File: FLD025-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD025-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 11:06:19 EDT 2024
% Result : Unsatisfiable 8.35s 1.60s
% Output : Refutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 18 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90597,plain,
$false,
inference(subsumption_resolution,[],[f90596,f38]) ).
fof(f38,axiom,
~ equalish(v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_not_equal_to_u_11) ).
fof(f90596,plain,
equalish(v,u),
inference(resolution,[],[f90582,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f90582,plain,
equalish(u,v),
inference(resolution,[],[f90578,f5239]) ).
fof(f5239,plain,
! [X0] :
( ~ equalish(X0,multiply(c,b))
| equalish(X0,v) ),
inference(resolution,[],[f5231,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f5231,plain,
equalish(multiply(c,b),v),
inference(resolution,[],[f5212,f1800]) ).
fof(f1800,plain,
! [X0] :
( ~ equalish(X0,multiply(d,b))
| equalish(X0,v) ),
inference(resolution,[],[f23,f37]) ).
fof(f37,axiom,
equalish(multiply(d,b),v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_v_10) ).
fof(f5212,plain,
equalish(multiply(c,b),multiply(d,b)),
inference(resolution,[],[f4364,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f4364,plain,
! [X0] :
( ~ defined(X0)
| equalish(multiply(c,X0),multiply(d,X0)) ),
inference(resolution,[],[f25,f35]) ).
fof(f35,axiom,
equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_equals_d_8) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(multiply(X0,X2),multiply(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f90578,plain,
equalish(u,multiply(c,b)),
inference(resolution,[],[f90562,f22]) ).
fof(f90562,plain,
equalish(multiply(c,b),u),
inference(resolution,[],[f33106,f4829]) ).
fof(f4829,plain,
! [X0] :
( ~ equalish(X0,multiply(b,c))
| equalish(X0,u) ),
inference(resolution,[],[f4821,f23]) ).
fof(f4821,plain,
equalish(multiply(b,c),u),
inference(resolution,[],[f4622,f1798]) ).
fof(f1798,plain,
! [X0] :
( ~ equalish(X0,multiply(a,c))
| equalish(X0,u) ),
inference(resolution,[],[f23,f36]) ).
fof(f36,axiom,
equalish(multiply(a,c),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_u_9) ).
fof(f4622,plain,
equalish(multiply(b,c),multiply(a,c)),
inference(resolution,[],[f4599,f22]) ).
fof(f4599,plain,
equalish(multiply(a,c),multiply(b,c)),
inference(resolution,[],[f4352,f30]) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f4352,plain,
! [X0] :
( ~ defined(X0)
| equalish(multiply(a,X0),multiply(b,X0)) ),
inference(resolution,[],[f25,f34]) ).
fof(f34,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_7) ).
fof(f33106,plain,
equalish(multiply(c,b),multiply(b,c)),
inference(resolution,[],[f2680,f30]) ).
fof(f2680,plain,
! [X0] :
( ~ defined(X0)
| equalish(multiply(X0,b),multiply(b,X0)) ),
inference(resolution,[],[f8,f29]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| equalish(multiply(X0,X1),multiply(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD025-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n019.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 : Tue Apr 30 03:24:44 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (20980)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (20982)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 % (20981)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (20983)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 % (20984)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 % (20985)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (20986)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (20987)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 [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.40 TRYING [5]
% 0.15/0.40 TRYING [4]
% 0.21/0.43 TRYING [5]
% 0.21/0.43 TRYING [5]
% 0.21/0.45 TRYING [5]
% 0.21/0.50 TRYING [6]
% 0.21/0.52 TRYING [6]
% 0.21/0.52 TRYING [6]
% 0.21/0.56 TRYING [6]
% 4.03/0.92 TRYING [7]
% 4.10/0.93 TRYING [7]
% 4.10/0.94 TRYING [7]
% 4.67/1.06 TRYING [7]
% 8.35/1.59 % (20985)First to succeed.
% 8.35/1.60 % (20985)Refutation found. Thanks to Tanya!
% 8.35/1.60 % SZS status Unsatisfiable for theBenchmark
% 8.35/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 8.35/1.60 % (20985)------------------------------
% 8.35/1.60 % (20985)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 8.35/1.60 % (20985)Termination reason: Refutation
% 8.35/1.60
% 8.35/1.60 % (20985)Memory used [KB]: 30320
% 8.35/1.60 % (20985)Time elapsed: 1.222 s
% 8.35/1.60 % (20985)Instructions burned: 2792 (million)
% 8.35/1.60 % (20985)------------------------------
% 8.35/1.60 % (20985)------------------------------
% 8.35/1.60 % (20980)Success in time 1.212 s
%------------------------------------------------------------------------------