TSTP Solution File: PLA031-1.001 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PLA031-1.001 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 12:59:22 EDT 2023
% Result : Unsatisfiable 1.17s 1.30s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 34
% Syntax : Number of formulae : 84 ( 40 unt; 12 typ; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 90 ( 46 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 4 >; 8 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-6 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 130 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
s: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_23,type,
truck1: $i ).
tff(decl_24,type,
truck2: $i ).
tff(decl_25,type,
neq: ( $i * $i ) > $o ).
tff(decl_26,type,
link: ( $i * $i ) > $o ).
tff(decl_27,type,
path: ( $i * $i ) > $o ).
tff(decl_28,type,
s0: $i ).
tff(decl_29,type,
s1: $i ).
tff(decl_30,type,
s2: $i ).
tff(decl_31,type,
p1_0: $i ).
tff(decl_32,type,
p2_0: $i ).
tff(decl_33,type,
p2_1: $i ).
cnf(walk1,axiom,
( s(X1,X2,X7,X4,X5,X6)
| ~ s(X1,X2,X3,X4,X5,X6)
| ~ path(X3,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk1) ).
cnf(init,axiom,
s(s2,s2,s0,s1,s0,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
cnf(map7,axiom,
path(s0,p2_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map7) ).
cnf(map6,axiom,
path(p2_0,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map6) ).
cnf(walk2,axiom,
( s(X1,X2,X3,X7,X5,X6)
| ~ s(X1,X2,X3,X4,X5,X6)
| ~ path(X4,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk2) ).
cnf(map1,axiom,
path(s1,p1_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map1) ).
cnf(board5,axiom,
( s(X1,X2,X3,truck1,X4,X5)
| ~ s(X1,X2,X3,X4,X4,X5)
| ~ neq(X3,truck1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board5) ).
cnf(neq33,axiom,
neq(s2,truck1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq33) ).
cnf(map4,axiom,
path(p1_0,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map4) ).
cnf(drive3,axiom,
( s(X1,X2,X3,truck1,X6,X5)
| ~ s(X1,X2,X3,truck1,X4,X5)
| ~ link(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive3) ).
cnf(map15,axiom,
link(s0,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map15) ).
cnf(load5,axiom,
( s(X1,truck1,X3,X4,X2,X5)
| ~ s(X1,X2,X3,X4,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load5) ).
cnf(map18,axiom,
link(s2,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map18) ).
cnf(load6,axiom,
( s(X1,X2,X3,X4,X2,X5)
| ~ s(X1,truck1,X3,X4,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load6) ).
cnf(map17,axiom,
link(s1,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map17) ).
cnf(board7,axiom,
( s(X1,X2,X3,truck2,X5,X4)
| ~ s(X1,X2,X3,X4,X5,X4)
| ~ neq(X3,truck2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board7) ).
cnf(neq34,axiom,
neq(s2,truck2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq34) ).
cnf(board6,axiom,
( s(X1,X2,X3,X4,X4,X5)
| ~ s(X1,X2,X3,truck1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board6) ).
cnf(drive4,axiom,
( s(X1,X2,X3,truck2,X4,X6)
| ~ s(X1,X2,X3,truck2,X4,X5)
| ~ link(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive4) ).
cnf(map16,axiom,
link(s2,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map16) ).
cnf(board8,axiom,
( s(X1,X2,X3,X4,X5,X4)
| ~ s(X1,X2,X3,truck2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board8) ).
cnf(goal,negated_conjecture,
~ s(s2,s1,s2,s2,s2,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_0_22,axiom,
( s(X1,X2,X7,X4,X5,X6)
| ~ s(X1,X2,X3,X4,X5,X6)
| ~ path(X3,X7) ),
walk1 ).
cnf(c_0_23,axiom,
s(s2,s2,s0,s1,s0,s2),
init ).
cnf(c_0_24,plain,
( s(s2,s2,X1,s1,s0,s2)
| ~ path(s0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,axiom,
path(s0,p2_0),
map7 ).
cnf(c_0_26,plain,
s(s2,s2,p2_0,s1,s0,s2),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,plain,
( s(s2,s2,X1,s1,s0,s2)
| ~ path(p2_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_26]) ).
cnf(c_0_28,axiom,
path(p2_0,s2),
map6 ).
cnf(c_0_29,axiom,
( s(X1,X2,X3,X7,X5,X6)
| ~ s(X1,X2,X3,X4,X5,X6)
| ~ path(X4,X7) ),
walk2 ).
cnf(c_0_30,plain,
s(s2,s2,s2,s1,s0,s2),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
( s(s2,s2,s2,X1,s0,s2)
| ~ path(s1,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,axiom,
path(s1,p1_0),
map1 ).
cnf(c_0_33,plain,
s(s2,s2,s2,p1_0,s0,s2),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,axiom,
( s(X1,X2,X3,truck1,X4,X5)
| ~ s(X1,X2,X3,X4,X4,X5)
| ~ neq(X3,truck1) ),
board5 ).
cnf(c_0_35,axiom,
neq(s2,truck1),
neq33 ).
cnf(c_0_36,plain,
( s(s2,s2,s2,X1,s0,s2)
| ~ path(p1_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_33]) ).
cnf(c_0_37,axiom,
path(p1_0,s0),
map4 ).
cnf(c_0_38,plain,
( s(X1,X2,s2,truck1,X3,X4)
| ~ s(X1,X2,s2,X3,X3,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
s(s2,s2,s2,s0,s0,s2),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,axiom,
( s(X1,X2,X3,truck1,X6,X5)
| ~ s(X1,X2,X3,truck1,X4,X5)
| ~ link(X4,X6) ),
drive3 ).
cnf(c_0_41,plain,
s(s2,s2,s2,truck1,s0,s2),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
( s(s2,s2,s2,truck1,X1,s2)
| ~ link(s0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_43,axiom,
link(s0,s2),
map15 ).
cnf(c_0_44,axiom,
( s(X1,truck1,X3,X4,X2,X5)
| ~ s(X1,X2,X3,X4,X2,X5) ),
load5 ).
cnf(c_0_45,plain,
s(s2,s2,s2,truck1,s2,s2),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
s(s2,truck1,s2,truck1,s2,s2),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,plain,
( s(s2,truck1,s2,truck1,X1,s2)
| ~ link(s2,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_46]) ).
cnf(c_0_48,axiom,
link(s2,s1),
map18 ).
cnf(c_0_49,axiom,
( s(X1,X2,X3,X4,X2,X5)
| ~ s(X1,truck1,X3,X4,X2,X5) ),
load6 ).
cnf(c_0_50,plain,
s(s2,truck1,s2,truck1,s1,s2),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,plain,
s(s2,s1,s2,truck1,s1,s2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_52,plain,
( s(s2,s1,s2,truck1,X1,s2)
| ~ link(s1,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_51]) ).
cnf(c_0_53,axiom,
link(s1,s2),
map17 ).
cnf(c_0_54,axiom,
( s(X1,X2,X3,truck2,X5,X4)
| ~ s(X1,X2,X3,X4,X5,X4)
| ~ neq(X3,truck2) ),
board7 ).
cnf(c_0_55,axiom,
neq(s2,truck2),
neq34 ).
cnf(c_0_56,axiom,
( s(X1,X2,X3,X4,X4,X5)
| ~ s(X1,X2,X3,truck1,X4,X5) ),
board6 ).
cnf(c_0_57,plain,
s(s2,s1,s2,truck1,s2,s2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
( s(X1,X2,s2,truck2,X3,X4)
| ~ s(X1,X2,s2,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
s(s2,s1,s2,s2,s2,s2),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,axiom,
( s(X1,X2,X3,truck2,X4,X6)
| ~ s(X1,X2,X3,truck2,X4,X5)
| ~ link(X5,X6) ),
drive4 ).
cnf(c_0_61,plain,
s(s2,s1,s2,truck2,s2,s2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
( s(s2,s1,s2,truck2,s2,X1)
| ~ link(s2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_63,axiom,
link(s2,s0),
map16 ).
cnf(c_0_64,axiom,
( s(X1,X2,X3,X4,X5,X4)
| ~ s(X1,X2,X3,truck2,X5,X4) ),
board8 ).
cnf(c_0_65,plain,
s(s2,s1,s2,truck2,s2,s0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,plain,
s(s2,s1,s2,s0,s2,s0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_67,plain,
( s(s2,s1,s2,X1,s2,s0)
| ~ path(s0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_66]) ).
cnf(c_0_68,plain,
s(s2,s1,s2,p2_0,s2,s0),
inference(spm,[status(thm)],[c_0_67,c_0_25]) ).
cnf(c_0_69,plain,
( s(s2,s1,s2,X1,s2,s0)
| ~ path(p2_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_68]) ).
cnf(c_0_70,negated_conjecture,
~ s(s2,s1,s2,s2,s2,s0),
goal ).
cnf(c_0_71,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_28]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PLA031-1.001 : TPTP v8.1.2. Released v3.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 06:21:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 1.17/1.30 % Version : CSE_E---1.5
% 1.17/1.30 % Problem : theBenchmark.p
% 1.17/1.30 % Proof found
% 1.17/1.30 % SZS status Theorem for theBenchmark.p
% 1.17/1.30 % SZS output start Proof
% See solution above
% 1.17/1.31 % Total time : 0.724000 s
% 1.17/1.31 % SZS output end Proof
% 1.17/1.31 % Total time : 0.728000 s
%------------------------------------------------------------------------------