TSTP Solution File: SWV543-1.004 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV543-1.004 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n013.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 21:45:14 EDT 2023
% Result : Unsatisfiable 0.57s 0.60s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 58
% Syntax : Number of formulae : 118 ( 81 unt; 32 typ; 0 def)
% Number of atoms : 91 ( 90 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 2 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 30 con; 0-3 aty)
% Number of variables : 26 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
store: ( $i * $i * $i ) > $i ).
tff(decl_23,type,
select: ( $i * $i ) > $i ).
tff(decl_24,type,
a_417: $i ).
tff(decl_25,type,
a1: $i ).
tff(decl_26,type,
i1: $i ).
tff(decl_27,type,
e_416: $i ).
tff(decl_28,type,
a_418: $i ).
tff(decl_29,type,
a_420: $i ).
tff(decl_30,type,
i0: $i ).
tff(decl_31,type,
e_419: $i ).
tff(decl_32,type,
a_422: $i ).
tff(decl_33,type,
i3: $i ).
tff(decl_34,type,
e_421: $i ).
tff(decl_35,type,
a_424: $i ).
tff(decl_36,type,
e_423: $i ).
tff(decl_37,type,
a_426: $i ).
tff(decl_38,type,
i2: $i ).
tff(decl_39,type,
e_425: $i ).
tff(decl_40,type,
a_428: $i ).
tff(decl_41,type,
e_427: $i ).
tff(decl_42,type,
a_430: $i ).
tff(decl_43,type,
e_429: $i ).
tff(decl_44,type,
a_431: $i ).
tff(decl_45,type,
a_432: $i ).
tff(decl_46,type,
a_434: $i ).
tff(decl_47,type,
e_433: $i ).
tff(decl_48,type,
a_436: $i ).
tff(decl_49,type,
e_435: $i ).
tff(decl_50,type,
a_438: $i ).
tff(decl_51,type,
e_437: $i ).
tff(decl_52,type,
a_440: $i ).
tff(decl_53,type,
e_439: $i ).
cnf(a3,axiom,
store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)) = store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
cnf(hyp15,hypothesis,
e_419 = select(a_418,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
cnf(a1,axiom,
select(store(X1,X2,X3),X2) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
cnf(hyp3,hypothesis,
a_422 = store(a_420,i3,e_421),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
cnf(hyp18,hypothesis,
e_425 = select(a_422,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
cnf(hyp11,hypothesis,
a_436 = store(a_434,i2,e_435),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
cnf(hyp23,hypothesis,
e_437 = select(a_436,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
cnf(hyp21,hypothesis,
e_433 = select(a_432,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
cnf(hyp16,hypothesis,
e_421 = select(a_418,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
cnf(hyp8,hypothesis,
a_431 = store(a_418,i3,e_421),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
cnf(hyp9,hypothesis,
a_432 = store(a_431,i0,e_419),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
cnf(hyp2,hypothesis,
a_420 = store(a_418,i0,e_419),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
cnf(hyp17,hypothesis,
e_423 = select(a_422,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
cnf(hyp5,hypothesis,
a_426 = store(a_424,i2,e_425),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
cnf(hyp24,hypothesis,
e_439 = select(a_436,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
cnf(hyp12,hypothesis,
a_438 = store(a_436,i0,e_437),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
cnf(a2,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
cnf(hyp22,hypothesis,
e_435 = select(a_432,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
cnf(hyp10,hypothesis,
a_434 = store(a_432,i3,e_433),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
cnf(hyp4,hypothesis,
a_424 = store(a_422,i3,e_423),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
cnf(hyp13,hypothesis,
a_440 = store(a_438,i2,e_439),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
cnf(hyp20,hypothesis,
e_429 = select(a_426,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
cnf(hyp19,hypothesis,
e_427 = select(a_426,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
cnf(hyp7,hypothesis,
a_430 = store(a_428,i0,e_429),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
cnf(hyp6,hypothesis,
a_428 = store(a_426,i2,e_427),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
cnf(goal,negated_conjecture,
a_430 != a_440,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_0_26,axiom,
store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)) = store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),
a3 ).
cnf(c_0_27,hypothesis,
e_419 = select(a_418,i3),
hyp15 ).
cnf(c_0_28,axiom,
select(store(X1,X2,X3),X2) = X3,
a1 ).
cnf(c_0_29,hypothesis,
a_422 = store(a_420,i3,e_421),
hyp3 ).
cnf(c_0_30,hypothesis,
e_425 = select(a_422,i3),
hyp18 ).
cnf(c_0_31,hypothesis,
a_436 = store(a_434,i2,e_435),
hyp11 ).
cnf(c_0_32,hypothesis,
e_437 = select(a_436,i2),
hyp23 ).
cnf(c_0_33,hypothesis,
e_433 = select(a_432,i2),
hyp21 ).
cnf(c_0_34,hypothesis,
store(store(a_418,i3,select(a_418,X1)),X1,e_419) = store(store(a_418,X1,e_419),i3,select(a_418,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,hypothesis,
e_421 = select(a_418,i0),
hyp16 ).
cnf(c_0_36,hypothesis,
a_431 = store(a_418,i3,e_421),
hyp8 ).
cnf(c_0_37,hypothesis,
a_432 = store(a_431,i0,e_419),
hyp9 ).
cnf(c_0_38,hypothesis,
a_420 = store(a_418,i0,e_419),
hyp2 ).
cnf(c_0_39,hypothesis,
e_423 = select(a_422,i2),
hyp17 ).
cnf(c_0_40,hypothesis,
e_425 = e_421,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_41,hypothesis,
a_426 = store(a_424,i2,e_425),
hyp5 ).
cnf(c_0_42,hypothesis,
e_439 = select(a_436,i0),
hyp24 ).
cnf(c_0_43,hypothesis,
e_437 = e_435,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_32]) ).
cnf(c_0_44,hypothesis,
a_438 = store(a_436,i0,e_437),
hyp12 ).
cnf(c_0_45,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
a2 ).
cnf(c_0_46,hypothesis,
store(store(a_432,i2,select(a_432,X1)),X1,e_433) = store(store(a_432,X1,e_433),i2,select(a_432,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_33]) ).
cnf(c_0_47,hypothesis,
e_435 = select(a_432,i3),
hyp22 ).
cnf(c_0_48,hypothesis,
a_434 = store(a_432,i3,e_433),
hyp10 ).
cnf(c_0_49,hypothesis,
a_432 = a_422,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_29]) ).
cnf(c_0_50,hypothesis,
store(store(a_422,i2,select(a_422,X1)),X1,e_423) = store(store(a_422,X1,e_423),i2,select(a_422,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_39]) ).
cnf(c_0_51,hypothesis,
select(a_422,i3) = e_421,
inference(rw,[status(thm)],[c_0_30,c_0_40]) ).
cnf(c_0_52,hypothesis,
a_424 = store(a_422,i3,e_423),
hyp4 ).
cnf(c_0_53,hypothesis,
store(a_424,i2,e_421) = a_426,
inference(rw,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_54,hypothesis,
store(store(a_436,i0,select(a_436,X1)),X1,e_439) = store(store(a_436,X1,e_439),i0,select(a_436,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_42]) ).
cnf(c_0_55,hypothesis,
select(a_436,i2) = e_435,
inference(rw,[status(thm)],[c_0_32,c_0_43]) ).
cnf(c_0_56,hypothesis,
store(a_436,i0,e_435) = a_438,
inference(rw,[status(thm)],[c_0_44,c_0_43]) ).
cnf(c_0_57,hypothesis,
a_440 = store(a_438,i2,e_439),
hyp13 ).
cnf(c_0_58,hypothesis,
select(a_431,i3) = e_421,
inference(spm,[status(thm)],[c_0_28,c_0_36]) ).
cnf(c_0_59,hypothesis,
( select(a_431,X1) = select(a_432,X1)
| i0 = X1 ),
inference(spm,[status(thm)],[c_0_45,c_0_37]) ).
cnf(c_0_60,hypothesis,
store(store(a_432,i2,e_435),i3,e_433) = a_436,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_31]) ).
cnf(c_0_61,hypothesis,
e_435 = e_421,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_49]),c_0_30]),c_0_40]) ).
cnf(c_0_62,hypothesis,
e_433 = e_423,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_49]),c_0_39]) ).
cnf(c_0_63,hypothesis,
store(store(a_422,i2,e_421),i3,e_423) = a_426,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]) ).
cnf(c_0_64,hypothesis,
e_429 = select(a_426,i2),
hyp20 ).
cnf(c_0_65,hypothesis,
store(store(a_436,i2,e_439),i0,e_435) = a_440,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]) ).
cnf(c_0_66,hypothesis,
( i0 = i3
| e_435 = e_421 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_47]) ).
cnf(c_0_67,hypothesis,
a_436 = a_426,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_49]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_68,hypothesis,
e_427 = select(a_426,i0),
hyp19 ).
cnf(c_0_69,hypothesis,
a_430 = store(a_428,i0,e_429),
hyp7 ).
cnf(c_0_70,hypothesis,
e_429 = e_425,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_64]) ).
cnf(c_0_71,hypothesis,
( store(store(a_436,i2,e_439),i0,e_421) = a_440
| i0 = i3 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,hypothesis,
e_439 = e_427,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_67]),c_0_68]) ).
cnf(c_0_73,hypothesis,
a_428 = store(a_426,i2,e_427),
hyp6 ).
cnf(c_0_74,hypothesis,
store(a_428,i0,e_421) = a_430,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70]),c_0_40]) ).
cnf(c_0_75,negated_conjecture,
a_430 != a_440,
goal ).
cnf(c_0_76,hypothesis,
i0 = i3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_67]),c_0_73]),c_0_74]),c_0_75]) ).
cnf(c_0_77,hypothesis,
select(a_426,i3) = e_423,
inference(spm,[status(thm)],[c_0_28,c_0_63]) ).
cnf(c_0_78,hypothesis,
store(store(a_426,i0,select(a_426,X1)),X1,e_427) = store(store(a_426,X1,e_427),i0,select(a_426,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_68]) ).
cnf(c_0_79,hypothesis,
select(a_426,i2) = e_421,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_70]),c_0_40]) ).
cnf(c_0_80,hypothesis,
e_421 = e_419,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_76]),c_0_27]) ).
cnf(c_0_81,hypothesis,
e_427 = e_423,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_76]),c_0_77]) ).
cnf(c_0_82,hypothesis,
store(store(a_426,i0,e_421),i2,e_427) = a_430,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_73]),c_0_74]) ).
cnf(c_0_83,hypothesis,
store(a_426,i3,e_419) = a_438,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_61]),c_0_67]),c_0_76]),c_0_80]) ).
cnf(c_0_84,hypothesis,
store(a_438,i2,e_423) = a_440,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_72]),c_0_81]) ).
cnf(c_0_85,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_76]),c_0_81]),c_0_80]),c_0_83]),c_0_84]),c_0_75]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV543-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 04:27:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.57/0.60 % Version : CSE_E---1.5
% 0.57/0.60 % Problem : theBenchmark.p
% 0.57/0.60 % Proof found
% 0.57/0.60 % SZS status Theorem for theBenchmark.p
% 0.57/0.60 % SZS output start Proof
% See solution above
% 0.57/0.61 % Total time : 0.016000 s
% 0.57/0.61 % SZS output end Proof
% 0.57/0.61 % Total time : 0.019000 s
%------------------------------------------------------------------------------