TSTP Solution File: PUZ008-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ008-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 : Thu Aug 31 13:11:30 EDT 2023
% Result : Unsatisfiable 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of formulae : 48 ( 15 unt; 11 typ; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 49 ( 27 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 5 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
n0: $i ).
tff(decl_23,type,
m: $i > $i ).
tff(decl_24,type,
n3: $i ).
tff(decl_25,type,
c: $i > $i ).
tff(decl_26,type,
west: ( $i * $i ) > $i ).
tff(decl_27,type,
east: ( $i * $i ) > $i ).
tff(decl_28,type,
boatonwest: $i ).
tff(decl_29,type,
banks: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
n2: $i ).
tff(decl_31,type,
n1: $i ).
tff(decl_32,type,
boatoneast: $i ).
cnf(bmmmccc_x_to_mmmc_bcc,axiom,
( banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
| ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bmmmccc_x_to_mmmc_bcc) ).
cnf(starting_configuration,hypothesis,
banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',starting_configuration) ).
cnf(mmmc_bcc_to_bmmmcc_c,axiom,
( banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mmmc_bcc_to_bmmmcc_c) ).
cnf(bmmmcc_c_to_mmm_bccc,axiom,
( banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bmmmcc_c_to_mmm_bccc) ).
cnf(mmm_bccc_to_bmmmc_cc,axiom,
( banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mmm_bccc_to_bmmmc_cc) ).
cnf(bmmmc_cc_to_mc_bmmcc,axiom,
( banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bmmmc_cc_to_mc_bmmcc) ).
cnf(bcc_mmmc_to_x_bmmmccc,axiom,
( banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast)
| ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bcc_mmmc_to_x_bmmmccc) ).
cnf(prove_can_get_across,negated_conjecture,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_can_get_across) ).
cnf(mc_bmmcc_to_bmmcc_mc,axiom,
( banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mc_bmmcc_to_bmmcc_mc) ).
cnf(c_bmmmcc_to_bcc_mmmc,axiom,
( banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
| ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_bmmmcc_to_bcc_mmmc) ).
cnf(bmmcc_mc_to_cc_bmmmc,axiom,
( banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bmmcc_mc_to_cc_bmmmc) ).
cnf(bccc_mmm_to_c_bmmmcc,axiom,
( banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bccc_mmm_to_c_bmmmcc) ).
cnf(cc_bmmmc_to_bccc_mmm,axiom,
( banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_bmmmc_to_bccc_mmm) ).
cnf(c_0_13,axiom,
( banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
| ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest) ),
bmmmccc_x_to_mmmc_bcc ).
cnf(c_0_14,hypothesis,
banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
starting_configuration ).
cnf(c_0_15,axiom,
( banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ),
mmmc_bcc_to_bmmmcc_c ).
cnf(c_0_16,plain,
banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_17,axiom,
( banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
bmmmcc_c_to_mmm_bccc ).
cnf(c_0_18,plain,
banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_19,axiom,
( banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
mmm_bccc_to_bmmmc_cc ).
cnf(c_0_20,plain,
banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_21,axiom,
( banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
bmmmc_cc_to_mc_bmmcc ).
cnf(c_0_22,plain,
banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_23,axiom,
( banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast)
| ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ),
bcc_mmmc_to_x_bmmmccc ).
cnf(c_0_24,negated_conjecture,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
prove_can_get_across ).
cnf(c_0_25,axiom,
( banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
mc_bmmcc_to_bmmcc_mc ).
cnf(c_0_26,plain,
banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_27,axiom,
( banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
| ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
c_bmmmcc_to_bcc_mmmc ).
cnf(c_0_28,plain,
~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest),
inference(sr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,axiom,
( banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
bmmcc_mc_to_cc_bmmmc ).
cnf(c_0_30,plain,
banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_31,axiom,
( banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
bccc_mmm_to_c_bmmmcc ).
cnf(c_0_32,plain,
~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast),
inference(sr,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,axiom,
( banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
cc_bmmmc_to_bccc_mmm ).
cnf(c_0_34,plain,
banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_35,plain,
~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest),
inference(sr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ008-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 22:20:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.60 % Version : CSE_E---1.5
% 0.21/0.60 % Problem : theBenchmark.p
% 0.21/0.60 % Proof found
% 0.21/0.60 % SZS status Theorem for theBenchmark.p
% 0.21/0.60 % SZS output start Proof
% See solution above
% 0.21/0.61 % Total time : 0.005000 s
% 0.21/0.61 % SZS output end Proof
% 0.21/0.61 % Total time : 0.009000 s
%------------------------------------------------------------------------------