TSTP Solution File: SYN598-10 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN598-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 : Fri Sep 1 01:53:23 EDT 2023
% Result : Unsatisfiable 64.20s 64.28s
% Output : CNFRefutation 64.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 33
% Syntax : Number of formulae : 50 ( 26 unt; 24 typ; 0 def)
% Number of atoms : 26 ( 25 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 : 13 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 31 ( 20 >; 11 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 4 con; 0-4 aty)
% Number of variables : 49 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(decl_23,type,
c21: $i ).
tff(decl_24,type,
p17: $i > $i ).
tff(decl_25,type,
true: $i ).
tff(decl_26,type,
p18: $i > $i ).
tff(decl_27,type,
p7: ( $i * $i ) > $i ).
tff(decl_28,type,
p2: ( $i * $i ) > $i ).
tff(decl_29,type,
p3: ( $i * $i ) > $i ).
tff(decl_30,type,
p5: ( $i * $i ) > $i ).
tff(decl_31,type,
f6: $i > $i ).
tff(decl_32,type,
f4: $i > $i ).
tff(decl_33,type,
c22: $i ).
tff(decl_34,type,
f9: $i > $i ).
tff(decl_35,type,
f12: $i > $i ).
tff(decl_36,type,
f13: $i > $i ).
tff(decl_37,type,
f15: $i > $i ).
tff(decl_38,type,
f16: $i > $i ).
tff(decl_39,type,
f14: $i > $i ).
tff(decl_40,type,
f8: $i > $i ).
tff(decl_41,type,
p19: ( $i * $i ) > $i ).
tff(decl_42,type,
p20: ( $i * $i ) > $i ).
tff(decl_43,type,
f11: ( $i * $i ) > $i ).
tff(decl_44,type,
f10: ( $i * $i ) > $i ).
tff(decl_45,type,
c23: $i ).
cnf(p7_25,negated_conjecture,
ifeq(p3(X1,X2),true,ifeq(p7(X3,X4),true,p7(f11(X3,X1),f11(X4,X2)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_25) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
cnf(ifeq_axiom,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(p7_26,negated_conjecture,
ifeq(p7(X1,X2),true,ifeq(p7(X3,X4),true,p7(f10(X3,X1),f10(X4,X2)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_26) ).
cnf(p3_7,negated_conjecture,
p3(f4(f6(c21)),c22) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
cnf(p19_23,negated_conjecture,
ifeq(p19(X1,X2),true,ifeq(p7(X2,X3),true,ifeq(p7(X1,X4),true,p19(X4,X3),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_23) ).
cnf(p19_28,negated_conjecture,
ifeq(p18(X1),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X1))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X1))),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_28) ).
cnf(c21_is_p18_2,negated_conjecture,
p18(c21) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p18_2) ).
cnf(not_p19_27,negated_conjecture,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_27) ).
cnf(c_0_9,negated_conjecture,
ifeq(p3(X1,X2),true,ifeq(p7(X3,X4),true,p7(f11(X3,X1),f11(X4,X2)),true),true) = true,
p7_25 ).
cnf(c_0_10,negated_conjecture,
p7(X1,X1) = true,
p7_3 ).
cnf(c_0_11,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_12,negated_conjecture,
ifeq(p7(X1,X2),true,ifeq(p7(X3,X4),true,p7(f10(X3,X1),f10(X4,X2)),true),true) = true,
p7_26 ).
cnf(c_0_13,negated_conjecture,
ifeq(p3(X1,X2),true,p7(f11(X3,X1),f11(X3,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
p3(f4(f6(c21)),c22) = true,
p3_7 ).
cnf(c_0_15,negated_conjecture,
ifeq(p19(X1,X2),true,ifeq(p7(X2,X3),true,ifeq(p7(X1,X4),true,p19(X4,X3),true),true),true) = true,
p19_23 ).
cnf(c_0_16,negated_conjecture,
ifeq(p7(X1,X2),true,p7(f10(X1,X3),f10(X2,X3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_10]),c_0_11]) ).
cnf(c_0_17,negated_conjecture,
p7(f11(X1,f4(f6(c21))),f11(X1,c22)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_11]) ).
cnf(c_0_18,negated_conjecture,
ifeq(p19(X1,X2),true,ifeq(p7(X1,X3),true,p19(X3,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_10]),c_0_11]) ).
cnf(c_0_19,negated_conjecture,
p7(f10(f11(X1,f4(f6(c21))),X2),f10(f11(X1,c22),X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11]) ).
cnf(c_0_20,negated_conjecture,
ifeq(p18(X1),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X1))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X1))),true) = true,
p19_28 ).
cnf(c_0_21,negated_conjecture,
p18(c21) = true,
c21_is_p18_2 ).
cnf(c_0_22,negated_conjecture,
ifeq(p19(f10(f11(X1,f4(f6(c21))),X2),X3),true,p19(f10(f11(X1,c22),X2),X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_11]) ).
cnf(c_0_23,negated_conjecture,
p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11]) ).
cnf(c_0_24,negated_conjecture,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
not_p19_27 ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_11]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN598-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 19:52:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.56 start to proof: theBenchmark
% 64.20/64.28 % Version : CSE_E---1.5
% 64.20/64.28 % Problem : theBenchmark.p
% 64.20/64.28 % Proof found
% 64.20/64.28 % SZS status Theorem for theBenchmark.p
% 64.20/64.28 % SZS output start Proof
% See solution above
% 64.20/64.29 % Total time : 63.720000 s
% 64.20/64.29 % SZS output end Proof
% 64.20/64.29 % Total time : 63.725000 s
%------------------------------------------------------------------------------