TSTP Solution File: LCL890-10 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL890-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 07:00:05 EDT 2023
% Result : Unsatisfiable 11.26s 11.32s
% Output : CNFRefutation 11.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 29
% Syntax : Number of formulae : 79 ( 68 unt; 11 typ; 0 def)
% Number of atoms : 68 ( 67 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 : 14 ( 5 >; 9 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 129 ( 14 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,
'+': ( $i * $i ) > $i ).
tff(decl_25,type,
'0': $i ).
tff(decl_26,type,
'1': $i ).
tff(decl_27,type,
'>=': ( $i * $i ) > $i ).
tff(decl_28,type,
true: $i ).
tff(decl_29,type,
'==>': ( $i * $i ) > $i ).
tff(decl_30,type,
sK2_goals_14_X19: $i ).
tff(decl_31,type,
sK3_goals_14_X18: $i ).
tff(decl_32,type,
sK1_goals_14_X17: $i ).
cnf(sos_03,axiom,
'+'(X1,'0') = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
cnf(sos_02,axiom,
'+'(X1,X2) = '+'(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(sos_10,axiom,
ifeq('>='(X1,X2),true,'>='('+'(X1,X3),'+'(X2,X3)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
cnf(sos_09,axiom,
'>='(X1,'0') = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(sos_08_1,axiom,
ifeq('>='('+'(X1,X2),X3),true,'>='(X2,'==>'(X1,X3)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08_1) ).
cnf(sos_07,axiom,
ifeq2('>='(X1,X2),true,ifeq2('>='(X2,X1),true,X2,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(sos_05,axiom,
'>='(X1,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
cnf(sos_01,axiom,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
cnf(sos_08,axiom,
ifeq('>='(X1,'==>'(X2,X3)),true,'>='('+'(X2,X1),X3),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
cnf(goals_14,negated_conjecture,
sK2_goals_14_X19 = '==>'(sK2_goals_14_X19,sK3_goals_14_X18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(sos_12,axiom,
ifeq('>='(X1,X2),true,'>='('==>'(X3,X1),'==>'(X3,X2)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
cnf(sos_06,axiom,
ifeq('>='(X1,X2),true,ifeq('>='(X3,X1),true,'>='(X3,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
cnf(goals_14_1,negated_conjecture,
'>='('==>'(sK1_goals_14_X17,sK3_goals_14_X18),sK1_goals_14_X17) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14_1) ).
cnf(sos_13,axiom,
'+'(X1,'==>'(X1,X2)) = '+'(X2,'==>'(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
cnf(sos_11,axiom,
ifeq('>='(X1,X2),true,'>='('==>'(X2,X3),'==>'(X1,X3)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
cnf(goals_14_2,negated_conjecture,
'>='(sK2_goals_14_X19,sK1_goals_14_X17) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14_2) ).
cnf(c_0_18,axiom,
'+'(X1,'0') = X1,
sos_03 ).
cnf(c_0_19,axiom,
'+'(X1,X2) = '+'(X2,X1),
sos_02 ).
cnf(c_0_20,axiom,
ifeq('>='(X1,X2),true,'>='('+'(X1,X3),'+'(X2,X3)),true) = true,
sos_10 ).
cnf(c_0_21,plain,
'+'('0',X1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,axiom,
'>='(X1,'0') = true,
sos_09 ).
cnf(c_0_23,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_24,axiom,
ifeq('>='('+'(X1,X2),X3),true,'>='(X2,'==>'(X1,X3)),true) = true,
sos_08_1 ).
cnf(c_0_25,plain,
'>='('+'(X1,X2),X2) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_26,axiom,
ifeq2('>='(X1,X2),true,ifeq2('>='(X2,X1),true,X2,X1),X1) = X1,
sos_07 ).
cnf(c_0_27,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_28,axiom,
'>='(X1,X1) = true,
sos_05 ).
cnf(c_0_29,axiom,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
sos_01 ).
cnf(c_0_30,axiom,
ifeq('>='(X1,'==>'(X2,X3)),true,'>='('+'(X2,X1),X3),true) = true,
sos_08 ).
cnf(c_0_31,negated_conjecture,
sK2_goals_14_X19 = '==>'(sK2_goals_14_X19,sK3_goals_14_X18),
goals_14 ).
cnf(c_0_32,axiom,
ifeq('>='(X1,X2),true,'>='('==>'(X3,X1),'==>'(X3,X2)),true) = true,
sos_12 ).
cnf(c_0_33,plain,
'>='(X1,'==>'(X2,X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_23]) ).
cnf(c_0_34,plain,
ifeq2('>='('0',X1),true,X1,'0') = '0',
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_22]),c_0_27]) ).
cnf(c_0_35,plain,
'>='(X1,'==>'(X2,'+'(X2,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_28]),c_0_23]) ).
cnf(c_0_36,plain,
'+'(X1,'+'(X2,X3)) = '+'(X3,'+'(X1,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_29]) ).
cnf(c_0_37,negated_conjecture,
ifeq('>='(X1,sK2_goals_14_X19),true,'>='('+'(sK2_goals_14_X19,X1),sK3_goals_14_X18),true) = true,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
'>='('+'(X1,'==>'(X1,X2)),X2) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_23]) ).
cnf(c_0_39,plain,
'>='('==>'(X1,X2),'==>'(X1,'==>'(X3,X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_23]) ).
cnf(c_0_40,plain,
'==>'(X1,X1) = '0',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_18]),c_0_27]) ).
cnf(c_0_41,axiom,
ifeq('>='(X1,X2),true,ifeq('>='(X3,X1),true,'>='(X3,X2),true),true) = true,
sos_06 ).
cnf(c_0_42,negated_conjecture,
'>='('==>'(sK1_goals_14_X17,sK3_goals_14_X18),sK1_goals_14_X17) = true,
goals_14_1 ).
cnf(c_0_43,plain,
ifeq('>='('+'(X1,'+'(X2,X3)),X4),true,'>='('+'(X3,X1),'==>'(X2,X4)),true) = true,
inference(spm,[status(thm)],[c_0_24,c_0_36]) ).
cnf(c_0_44,negated_conjecture,
'>='('+'(sK2_goals_14_X19,'+'(X1,'==>'(X1,sK2_goals_14_X19))),sK3_goals_14_X18) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_23]) ).
cnf(c_0_45,axiom,
'+'(X1,'==>'(X1,X2)) = '+'(X2,'==>'(X2,X1)),
sos_13 ).
cnf(c_0_46,plain,
'>='('0','==>'(X1,'==>'(X2,X1))) = true,
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
ifeq('>='(X1,'==>'(sK1_goals_14_X17,sK3_goals_14_X18)),true,'>='(X1,sK1_goals_14_X17),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_23]) ).
cnf(c_0_48,negated_conjecture,
'>='('+'(sK2_goals_14_X19,'==>'(X1,sK2_goals_14_X19)),'==>'(X1,sK3_goals_14_X18)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_19]),c_0_23]) ).
cnf(c_0_49,plain,
ifeq('>='(X1,X2),true,'>='('+'(X1,'==>'(X2,X3)),'+'(X3,'==>'(X3,X2))),true) = true,
inference(spm,[status(thm)],[c_0_20,c_0_45]) ).
cnf(c_0_50,plain,
'==>'(X1,'==>'(X2,X1)) = '0',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_46]),c_0_22]),c_0_27]),c_0_27]) ).
cnf(c_0_51,negated_conjecture,
'>='('+'(sK2_goals_14_X19,'==>'(sK1_goals_14_X17,sK2_goals_14_X19)),sK1_goals_14_X17) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_23]) ).
cnf(c_0_52,axiom,
ifeq('>='(X1,X2),true,'>='('==>'(X2,X3),'==>'(X1,X3)),true) = true,
sos_11 ).
cnf(c_0_53,plain,
ifeq('>='(X1,'==>'(X2,X3)),true,'>='('+'(X1,'==>'('==>'(X2,X3),X3)),X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_18]) ).
cnf(c_0_54,negated_conjecture,
'>='('==>'(sK1_goals_14_X17,sK2_goals_14_X19),'==>'(sK2_goals_14_X19,sK1_goals_14_X17)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_51]),c_0_23]) ).
cnf(c_0_55,plain,
ifeq('>='('+'(X1,X2),X3),true,'>='(X1,'==>'(X2,X3)),true) = true,
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_56,plain,
'>='('==>'('==>'(X1,X2),X3),'==>'(X2,X3)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_33]),c_0_23]) ).
cnf(c_0_57,negated_conjecture,
'>='('+'('==>'(sK1_goals_14_X17,sK2_goals_14_X19),'==>'('==>'(sK2_goals_14_X19,sK1_goals_14_X17),sK1_goals_14_X17)),sK1_goals_14_X17) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_23]) ).
cnf(c_0_58,plain,
ifeq('>='(X1,X2),true,'>='('0','==>'(X1,X2)),true) = true,
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
cnf(c_0_59,plain,
'>='(X1,'==>'('==>'(X1,X2),X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_38]),c_0_23]) ).
cnf(c_0_60,plain,
ifeq('>='('==>'(X1,X2),X3),true,'>='('==>'('==>'(X4,X1),X2),X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_56]),c_0_23]) ).
cnf(c_0_61,negated_conjecture,
'>='('==>'(sK1_goals_14_X17,sK2_goals_14_X19),'==>'('==>'('==>'(sK2_goals_14_X19,sK1_goals_14_X17),sK1_goals_14_X17),sK1_goals_14_X17)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_57]),c_0_23]) ).
cnf(c_0_62,plain,
'>='('0','==>'(X1,'==>'('==>'(X1,X2),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_23]) ).
cnf(c_0_63,plain,
ifeq('>='('==>'(X1,X2),'==>'(X1,X3)),true,'>='('+'(X2,'==>'(X2,X1)),X3),true) = true,
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
cnf(c_0_64,negated_conjecture,
'>='('==>'('==>'(X1,sK1_goals_14_X17),sK2_goals_14_X19),'==>'('==>'('==>'(sK2_goals_14_X19,sK1_goals_14_X17),sK1_goals_14_X17),sK1_goals_14_X17)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_23]) ).
cnf(c_0_65,plain,
'==>'(X1,'==>'('==>'(X1,X2),X2)) = '0',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_62]),c_0_22]),c_0_27]),c_0_27]) ).
cnf(c_0_66,negated_conjecture,
'>='(sK2_goals_14_X19,sK1_goals_14_X17) != true,
goals_14_2 ).
cnf(c_0_67,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_18]),c_0_23]),c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL890-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.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 : Thu Aug 24 17:15:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 11.26/11.32 % Version : CSE_E---1.5
% 11.26/11.32 % Problem : theBenchmark.p
% 11.26/11.32 % Proof found
% 11.26/11.32 % SZS status Theorem for theBenchmark.p
% 11.26/11.32 % SZS output start Proof
% See solution above
% 11.26/11.32 % Total time : 10.750000 s
% 11.26/11.32 % SZS output end Proof
% 11.26/11.32 % Total time : 10.753000 s
%------------------------------------------------------------------------------