TSTP Solution File: SYN563-10 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% 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 : Fri Sep 1 01:53:14 EDT 2023
% Result : Unsatisfiable 0.19s 0.73s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 56 ( 44 unt; 12 typ; 0 def)
% Number of atoms : 44 ( 43 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 : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 7 >; 9 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 61 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(decl_23,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
p2: ( $i * $i ) > $i ).
tff(decl_25,type,
true: $i ).
tff(decl_26,type,
p6: ( $i * $i ) > $i ).
tff(decl_27,type,
c7: $i ).
tff(decl_28,type,
f4: $i > $i ).
tff(decl_29,type,
c8: $i ).
tff(decl_30,type,
p5: ( $i * $i ) > $i ).
tff(decl_31,type,
f3: $i > $i ).
tff(decl_32,type,
a: $i ).
tff(decl_33,type,
b: $i ).
cnf(p6_16,negated_conjecture,
ifeq2(p2(X1,X2),true,ifeq2(p2(X3,X4),true,ifeq2(p6(X3,X1),true,p6(X4,X2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_16) ).
cnf(p6_2,negated_conjecture,
p6(X1,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_2) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(p6_10,negated_conjecture,
ifeq2(p5(X1,X2),true,p6(f4(X1),X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_10) ).
cnf(p5_7,negated_conjecture,
p5(f3(f3(X1)),f3(f4(X1))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_7) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_11,negated_conjecture,
ifeq2(p2(X1,X2),true,p2(f3(X1),f3(X2)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p2_4,negated_conjecture,
p2(f4(c7),f4(c8)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p6_9,negated_conjecture,
ifeq2(p6(c7,X1),true,p6(c7,f3(X1)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).
cnf(p6_14,negated_conjecture,
ifeq2(p6(X1,X2),true,ifeq2(p6(X3,X1),true,p6(X3,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
cnf(p5_15,negated_conjecture,
ifeq2(p6(X1,X2),true,ifeq2(p5(X2,X3),true,p5(X1,X3),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_15) ).
cnf(p5_8,negated_conjecture,
ifeq2(p6(f4(X1),X2),true,p5(X1,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_8) ).
cnf(not_p6_5,negated_conjecture,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_5) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(goal,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_0_15,negated_conjecture,
ifeq2(p2(X1,X2),true,ifeq2(p2(X3,X4),true,ifeq2(p6(X3,X1),true,p6(X4,X2),true),true),true) = true,
p6_16 ).
cnf(c_0_16,negated_conjecture,
p6(X1,X1) = true,
p6_2 ).
cnf(c_0_17,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_18,negated_conjecture,
ifeq2(p5(X1,X2),true,p6(f4(X1),X2),true) = true,
p6_10 ).
cnf(c_0_19,negated_conjecture,
p5(f3(f3(X1)),f3(f4(X1))) = true,
p5_7 ).
cnf(c_0_20,negated_conjecture,
ifeq2(p2(X1,X2),true,ifeq2(p2(X1,X3),true,p6(X3,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,negated_conjecture,
p2(X1,X1) = true,
p2_1 ).
cnf(c_0_22,negated_conjecture,
ifeq2(p2(X1,X2),true,p2(f3(X1),f3(X2)),true) = true,
p2_11 ).
cnf(c_0_23,negated_conjecture,
p2(f4(c7),f4(c8)) = true,
p2_4 ).
cnf(c_0_24,negated_conjecture,
ifeq2(p6(c7,X1),true,p6(c7,f3(X1)),true) = true,
p6_9 ).
cnf(c_0_25,negated_conjecture,
ifeq2(p6(X1,X2),true,ifeq2(p6(X3,X1),true,p6(X3,X2),true),true) = true,
p6_14 ).
cnf(c_0_26,negated_conjecture,
p6(f4(f3(f3(X1))),f3(f4(X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_17]) ).
cnf(c_0_27,negated_conjecture,
ifeq2(p2(X1,X2),true,p6(X1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]) ).
cnf(c_0_28,negated_conjecture,
p2(f3(f4(c7)),f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17]) ).
cnf(c_0_29,negated_conjecture,
p6(c7,f3(c7)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_17]) ).
cnf(c_0_30,negated_conjecture,
ifeq2(p6(f3(f4(X1)),X2),true,p6(f4(f3(f3(X1))),X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_17]) ).
cnf(c_0_31,negated_conjecture,
p6(f3(f4(c7)),f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_17]) ).
cnf(c_0_32,negated_conjecture,
ifeq2(p6(X1,X2),true,ifeq2(p5(X2,X3),true,p5(X1,X3),true),true) = true,
p5_15 ).
cnf(c_0_33,negated_conjecture,
p6(c7,f3(f3(c7))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_29]),c_0_17]) ).
cnf(c_0_34,negated_conjecture,
ifeq2(p6(f4(X1),X2),true,p5(X1,X2),true) = true,
p5_8 ).
cnf(c_0_35,negated_conjecture,
p6(f4(f3(f3(c7))),f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_17]) ).
cnf(c_0_36,negated_conjecture,
ifeq2(p5(f3(f3(c7)),X1),true,p5(c7,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_17]) ).
cnf(c_0_37,negated_conjecture,
p5(f3(f3(c7)),f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_17]) ).
cnf(c_0_38,negated_conjecture,
p5(c7,f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_17]) ).
cnf(c_0_39,negated_conjecture,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
not_p6_5 ).
cnf(c_0_40,negated_conjecture,
p6(f4(c7),f3(f4(c8))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_38]),c_0_17]) ).
cnf(c_0_41,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_42,negated_conjecture,
a != b,
goal ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n025.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 : Sat Aug 26 17:43:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.73 % Version : CSE_E---1.5
% 0.19/0.73 % Problem : theBenchmark.p
% 0.19/0.73 % Proof found
% 0.19/0.73 % SZS status Theorem for theBenchmark.p
% 0.19/0.73 % SZS output start Proof
% See solution above
% 0.19/0.73 % Total time : 0.161000 s
% 0.19/0.73 % SZS output end Proof
% 0.19/0.73 % Total time : 0.164000 s
%------------------------------------------------------------------------------