TSTP Solution File: SWV558-1.004 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV558-1.004 : 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 : n031.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 21:46:37 EDT 2023
% Result : Unsatisfiable 0.21s 0.63s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 44
% Syntax : Number of formulae : 98 ( 74 unt; 24 typ; 0 def)
% Number of atoms : 74 ( 73 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 3 ( 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 : 24 ( 24 usr; 22 con; 0-3 aty)
% Number of variables : 10 ( 2 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_17: $i ).
tff(decl_25,type,
a1: $i ).
tff(decl_26,type,
i1: $i ).
tff(decl_27,type,
e_16: $i ).
tff(decl_28,type,
a_19: $i ).
tff(decl_29,type,
a2: $i ).
tff(decl_30,type,
e_18: $i ).
tff(decl_31,type,
a_21: $i ).
tff(decl_32,type,
i2: $i ).
tff(decl_33,type,
e_20: $i ).
tff(decl_34,type,
a_23: $i ).
tff(decl_35,type,
e_22: $i ).
tff(decl_36,type,
a_25: $i ).
tff(decl_37,type,
i3: $i ).
tff(decl_38,type,
e_24: $i ).
tff(decl_39,type,
a_27: $i ).
tff(decl_40,type,
e_26: $i ).
tff(decl_41,type,
a_29: $i ).
tff(decl_42,type,
i4: $i ).
tff(decl_43,type,
e_28: $i ).
tff(decl_44,type,
a_31: $i ).
tff(decl_45,type,
e_30: $i ).
cnf(hyp7,hypothesis,
a_31 = store(a_27,i4,e_30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
cnf(hyp16,hypothesis,
a_29 = a_31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
cnf(a1,axiom,
select(store(X1,X2,X3),X2) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
cnf(hyp6,hypothesis,
a_29 = store(a_25,i4,e_28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
cnf(hyp15,hypothesis,
e_30 = select(a_25,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
cnf(a3,axiom,
store(X1,X2,select(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
cnf(hyp14,hypothesis,
e_28 = select(a_27,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
cnf(hyp4,hypothesis,
a_25 = store(a_21,i3,e_24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
cnf(hyp5,hypothesis,
a_27 = store(a_23,i3,e_26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
cnf(hyp12,hypothesis,
e_24 = select(a_23,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
cnf(hyp13,hypothesis,
e_26 = select(a_21,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
cnf(hyp2,hypothesis,
a_21 = store(a_17,i2,e_20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
cnf(hyp3,hypothesis,
a_23 = store(a_19,i2,e_22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
cnf(hyp10,hypothesis,
e_20 = select(a_19,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
cnf(hyp11,hypothesis,
e_22 = select(a_17,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
cnf(hyp0,hypothesis,
a_17 = store(a1,i1,e_16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
cnf(hyp1,hypothesis,
a_19 = store(a2,i1,e_18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
cnf(hyp8,hypothesis,
e_16 = select(a2,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
cnf(hyp9,hypothesis,
e_18 = select(a1,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
cnf(goal,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_0_20,hypothesis,
a_31 = store(a_27,i4,e_30),
hyp7 ).
cnf(c_0_21,hypothesis,
a_29 = a_31,
hyp16 ).
cnf(c_0_22,axiom,
select(store(X1,X2,X3),X2) = X3,
a1 ).
cnf(c_0_23,hypothesis,
a_29 = store(a_25,i4,e_28),
hyp6 ).
cnf(c_0_24,hypothesis,
store(a_27,i4,e_30) = a_29,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,hypothesis,
select(a_29,i4) = e_28,
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,hypothesis,
e_30 = select(a_25,i4),
hyp15 ).
cnf(c_0_27,hypothesis,
e_30 = e_28,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_24]),c_0_25]) ).
cnf(c_0_28,axiom,
store(X1,X2,select(X1,X2)) = X1,
a3 ).
cnf(c_0_29,hypothesis,
e_28 = select(a_27,i4),
hyp14 ).
cnf(c_0_30,hypothesis,
select(a_25,i4) = e_28,
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,hypothesis,
a_25 = store(a_21,i3,e_24),
hyp4 ).
cnf(c_0_32,hypothesis,
store(a_27,i4,e_28) = a_27,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,hypothesis,
a_29 = a_25,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_30]),c_0_23]) ).
cnf(c_0_34,hypothesis,
a_27 = store(a_23,i3,e_26),
hyp5 ).
cnf(c_0_35,hypothesis,
select(a_25,i3) = e_24,
inference(spm,[status(thm)],[c_0_22,c_0_31]) ).
cnf(c_0_36,hypothesis,
a_25 = a_27,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_27]),c_0_32]),c_0_33]) ).
cnf(c_0_37,hypothesis,
select(a_27,i3) = e_26,
inference(spm,[status(thm)],[c_0_22,c_0_34]) ).
cnf(c_0_38,hypothesis,
e_24 = select(a_23,i3),
hyp12 ).
cnf(c_0_39,hypothesis,
e_26 = select(a_21,i3),
hyp13 ).
cnf(c_0_40,hypothesis,
e_26 = e_24,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_41,hypothesis,
store(a_23,i3,e_24) = a_23,
inference(spm,[status(thm)],[c_0_28,c_0_38]) ).
cnf(c_0_42,hypothesis,
select(a_21,i3) = e_24,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,hypothesis,
store(a_21,i3,e_24) = a_27,
inference(rw,[status(thm)],[c_0_31,c_0_36]) ).
cnf(c_0_44,hypothesis,
a_27 = a_23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_40]),c_0_41]) ).
cnf(c_0_45,hypothesis,
a_21 = store(a_17,i2,e_20),
hyp2 ).
cnf(c_0_46,hypothesis,
store(a_21,i3,e_24) = a_21,
inference(spm,[status(thm)],[c_0_28,c_0_42]) ).
cnf(c_0_47,hypothesis,
store(a_21,i3,e_24) = a_23,
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,hypothesis,
a_23 = store(a_19,i2,e_22),
hyp3 ).
cnf(c_0_49,hypothesis,
select(a_21,i2) = e_20,
inference(spm,[status(thm)],[c_0_22,c_0_45]) ).
cnf(c_0_50,hypothesis,
a_21 = a_23,
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,hypothesis,
select(a_23,i2) = e_22,
inference(spm,[status(thm)],[c_0_22,c_0_48]) ).
cnf(c_0_52,hypothesis,
e_20 = select(a_19,i2),
hyp10 ).
cnf(c_0_53,hypothesis,
e_22 = e_20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_54,hypothesis,
store(a_19,i2,e_20) = a_19,
inference(spm,[status(thm)],[c_0_28,c_0_52]) ).
cnf(c_0_55,hypothesis,
e_22 = select(a_17,i2),
hyp11 ).
cnf(c_0_56,hypothesis,
a_23 = a_19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_53]),c_0_54]) ).
cnf(c_0_57,hypothesis,
a_17 = store(a1,i1,e_16),
hyp0 ).
cnf(c_0_58,hypothesis,
store(a_17,i2,e_22) = a_17,
inference(spm,[status(thm)],[c_0_28,c_0_55]) ).
cnf(c_0_59,hypothesis,
store(a_17,i2,e_20) = a_19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_50]),c_0_56]) ).
cnf(c_0_60,hypothesis,
a_19 = store(a2,i1,e_18),
hyp1 ).
cnf(c_0_61,hypothesis,
select(a_17,i1) = e_16,
inference(spm,[status(thm)],[c_0_22,c_0_57]) ).
cnf(c_0_62,hypothesis,
a_17 = a_19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_53]),c_0_59]) ).
cnf(c_0_63,hypothesis,
select(a_19,i1) = e_18,
inference(spm,[status(thm)],[c_0_22,c_0_60]) ).
cnf(c_0_64,hypothesis,
e_16 = select(a2,i1),
hyp8 ).
cnf(c_0_65,hypothesis,
e_18 = select(a1,i1),
hyp9 ).
cnf(c_0_66,hypothesis,
e_18 = e_16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_67,hypothesis,
store(a2,i1,e_16) = a2,
inference(spm,[status(thm)],[c_0_28,c_0_64]) ).
cnf(c_0_68,hypothesis,
store(a1,i1,e_18) = a1,
inference(spm,[status(thm)],[c_0_28,c_0_65]) ).
cnf(c_0_69,hypothesis,
a_19 = a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_66]),c_0_67]) ).
cnf(c_0_70,hypothesis,
store(a1,i1,e_16) = a1,
inference(rw,[status(thm)],[c_0_68,c_0_66]) ).
cnf(c_0_71,hypothesis,
store(a1,i1,e_16) = a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_62]),c_0_69]) ).
cnf(c_0_72,negated_conjecture,
a1 != a2,
goal ).
cnf(c_0_73,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV558-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 04:52:26 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.21/0.61 start to proof: theBenchmark
% 0.21/0.63 % Version : CSE_E---1.5
% 0.21/0.63 % Problem : theBenchmark.p
% 0.21/0.63 % Proof found
% 0.21/0.63 % SZS status Theorem for theBenchmark.p
% 0.21/0.63 % SZS output start Proof
% See solution above
% 0.21/0.64 % Total time : 0.012000 s
% 0.21/0.64 % SZS output end Proof
% 0.21/0.64 % Total time : 0.014000 s
%------------------------------------------------------------------------------