TSTP Solution File: SYN631-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN631-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 01:53:33 EDT 2023
% Result : Unsatisfiable 1.28s 1.51s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 39
% Syntax : Number of formulae : 63 ( 18 unt; 28 typ; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 22 >; 17 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 58 ( 3 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p10: ( $i * $i ) > $o ).
tff(decl_23,type,
p9: ( $i * $i ) > $o ).
tff(decl_24,type,
p7: ( $i * $i ) > $o ).
tff(decl_25,type,
p6: ( $i * $i ) > $o ).
tff(decl_26,type,
p5: ( $i * $i ) > $o ).
tff(decl_27,type,
p3: ( $i * $i ) > $o ).
tff(decl_28,type,
p2: ( $i * $i ) > $o ).
tff(decl_29,type,
p12: ( $i * $i ) > $o ).
tff(decl_30,type,
c25: $i ).
tff(decl_31,type,
c28: $i ).
tff(decl_32,type,
p22: ( $i * $i ) > $o ).
tff(decl_33,type,
f18: ( $i * $i ) > $i ).
tff(decl_34,type,
f17: $i > $i ).
tff(decl_35,type,
f16: $i > $i ).
tff(decl_36,type,
c27: $i ).
tff(decl_37,type,
f14: $i > $i ).
tff(decl_38,type,
f13: ( $i * $i ) > $i ).
tff(decl_39,type,
c24: $i ).
tff(decl_40,type,
f15: $i > $i ).
tff(decl_41,type,
f11: $i > $i ).
tff(decl_42,type,
p23: ( $i * $i ) > $o ).
tff(decl_43,type,
f4: $i > $i ).
tff(decl_44,type,
f20: $i > $i ).
tff(decl_45,type,
p21: ( $i * $i ) > $o ).
tff(decl_46,type,
c29: $i ).
tff(decl_47,type,
f19: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
c26: $i ).
tff(decl_49,type,
f8: ( $i * $i * $i ) > $i ).
cnf(p5_25,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_25) ).
cnf(p5_5,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_5) ).
cnf(p5_34,negated_conjecture,
( p5(X1,f18(f20(c29),f19(X2,X1,X3)))
| ~ p23(f13(X1,X3),f11(f15(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_34) ).
cnf(p23_12,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_12) ).
cnf(p5_11,negated_conjecture,
p5(f16(f18(X1,X2)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_11) ).
cnf(p5_18,negated_conjecture,
( p5(f16(X1),f16(X2))
| ~ p5(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_18) ).
cnf(p23_35,negated_conjecture,
( p23(f13(f19(X1,X2,X3),X3),f11(X1))
| ~ p23(f13(X2,X3),f11(f15(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).
cnf(p12_32,negated_conjecture,
( p12(f13(X1,X2),f13(X3,X4))
| ~ p5(X1,X3)
| ~ p5(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_32) ).
cnf(p23_29,negated_conjecture,
( p23(X1,X2)
| ~ p12(X3,X1)
| ~ p23(X3,X4)
| ~ p10(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_29) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
cnf(not_p23_13,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_13) ).
cnf(c_0_11,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
p5_25 ).
cnf(c_0_12,negated_conjecture,
p5(X1,X1),
p5_5 ).
cnf(c_0_13,negated_conjecture,
( p5(X1,f18(f20(c29),f19(X2,X1,X3)))
| ~ p23(f13(X1,X3),f11(f15(X2))) ),
p5_34 ).
cnf(c_0_14,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
p23_12 ).
cnf(c_0_15,negated_conjecture,
( p5(X1,X2)
| ~ p5(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
p5(c27,f18(f20(c29),f19(c24,c27,f14(c28)))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p5(f16(f18(X1,X2)),X2),
p5_11 ).
cnf(c_0_18,negated_conjecture,
( p5(f16(X1),f16(X2))
| ~ p5(X1,X2) ),
p5_18 ).
cnf(c_0_19,negated_conjecture,
p5(f18(f20(c29),f19(c24,c27,f14(c28))),c27),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( p5(X1,X2)
| ~ p5(f16(f18(X3,X2)),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f16(c27)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( p23(f13(f19(X1,X2,X3),X3),f11(X1))
| ~ p23(f13(X2,X3),f11(f15(X1))) ),
p23_35 ).
cnf(c_0_23,negated_conjecture,
( p12(f13(X1,X2),f13(X3,X4))
| ~ p5(X1,X3)
| ~ p5(X2,X4) ),
p12_32 ).
cnf(c_0_24,negated_conjecture,
p5(f16(c27),f19(c24,c27,f14(c28))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( p23(X1,X2)
| ~ p12(X3,X1)
| ~ p23(X3,X4)
| ~ p10(X4,X2) ),
p23_29 ).
cnf(c_0_26,negated_conjecture,
p23(f13(f19(c24,c27,f14(c28)),f14(c28)),f11(c24)),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_27,negated_conjecture,
( p12(f13(X1,X2),f13(X3,X2))
| ~ p5(X1,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_12]) ).
cnf(c_0_28,negated_conjecture,
p5(f19(c24,c27,f14(c28)),f16(c27)),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( p23(X1,X2)
| ~ p12(f13(f19(c24,c27,f14(c28)),f14(c28)),X1)
| ~ p10(f11(c24),X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
p12(f13(f19(c24,c27,f14(c28)),X1),f13(f16(c27),X1)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( p23(f13(f16(c27),f14(c28)),X1)
| ~ p10(f11(c24),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_33,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
not_p23_13 ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYN631-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 18:30:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 1.28/1.51 % Version : CSE_E---1.5
% 1.28/1.51 % Problem : theBenchmark.p
% 1.28/1.51 % Proof found
% 1.28/1.51 % SZS status Theorem for theBenchmark.p
% 1.28/1.51 % SZS output start Proof
% See solution above
% 1.28/1.52 % Total time : 0.926000 s
% 1.28/1.52 % SZS output end Proof
% 1.28/1.52 % Total time : 0.930000 s
%------------------------------------------------------------------------------