TSTP Solution File: MVA008-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MVA008-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 09:31:59 EDT 2023
% Result : Unsatisfiable 1.32s 1.43s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of formulae : 160 ( 152 unt; 8 typ; 0 def)
% Number of atoms : 152 ( 151 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 288 ( 58 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
meet: ( $i * $i ) > $i ).
tff(decl_23,type,
join: ( $i * $i ) > $i ).
tff(decl_24,type,
ld: ( $i * $i ) > $i ).
tff(decl_25,type,
op: ( $i * $i ) > $i ).
tff(decl_26,type,
rd: ( $i * $i ) > $i ).
tff(decl_27,type,
unit: $i ).
tff(decl_28,type,
at: ( $i * $i ) > $i ).
tff(decl_29,type,
x: $i ).
cnf(residual_c,axiom,
meet(ld(X1,join(op(X1,X2),X3)),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',residual_c) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',commutativity_of_meet) ).
cnf(absorption_a,axiom,
join(meet(X1,X2),X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',absorption_a) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',commutativity_of_join) ).
cnf(left_monoid_unit,axiom,
op(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',left_monoid_unit) ).
cnf(residual_b,axiom,
join(op(meet(X1,rd(X2,X3)),X3),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',residual_b) ).
cnf(residual_a,axiom,
join(op(X1,meet(ld(X1,X2),X3)),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',residual_a) ).
cnf(right_monoid_unit,axiom,
op(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',right_monoid_unit) ).
cnf(absorption_b,axiom,
meet(join(X1,X2),X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',absorption_b) ).
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',associativity_of_meet) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',idempotence_of_join) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',associativity_of_join) ).
cnf(residual_d,axiom,
meet(rd(join(op(X1,X2),X3),X2),X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',residual_d) ).
cnf(monoid_associativity,axiom,
op(op(X1,X2),X3) = op(X1,op(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',monoid_associativity) ).
cnf(generalized_mv_algebra_a,axiom,
join(X1,X2) = rd(X1,ld(join(X1,X2),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',generalized_mv_algebra_a) ).
cnf(idempotence_of_meet,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',idempotence_of_meet) ).
cnf(generalized_mv_algebra_b,axiom,
join(X1,X2) = ld(rd(X1,join(X1,X2)),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',generalized_mv_algebra_b) ).
cnf(goal,negated_conjecture,
at(op(x,ld(x,unit)),unit) != op(x,ld(x,unit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(definition_of_at,axiom,
at(X1,X2) = op(op(X1,ld(X1,unit)),ld(ld(X2,unit),unit)),
file('/export/starexec/sandbox2/benchmark/Axioms/MVA001-0.ax',definition_of_at) ).
cnf(c_0_19,axiom,
meet(ld(X1,join(op(X1,X2),X3)),X2) = X2,
residual_c ).
cnf(c_0_20,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_21,axiom,
join(meet(X1,X2),X1) = X1,
absorption_a ).
cnf(c_0_22,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_23,plain,
meet(X1,ld(X2,join(op(X2,X1),X3))) = X1,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,axiom,
op(unit,X1) = X1,
left_monoid_unit ).
cnf(c_0_25,axiom,
join(op(meet(X1,rd(X2,X3)),X3),X2) = X2,
residual_b ).
cnf(c_0_26,plain,
join(X1,meet(X1,X2)) = X1,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
meet(X1,ld(unit,join(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
join(X1,op(meet(X2,rd(X1,X3)),X3)) = X1,
inference(rw,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_29,axiom,
join(op(X1,meet(ld(X1,X2),X3)),X2) = X2,
residual_a ).
cnf(c_0_30,axiom,
op(X1,unit) = X1,
right_monoid_unit ).
cnf(c_0_31,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_32,plain,
meet(X1,ld(unit,X1)) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
join(X1,op(X2,meet(ld(X2,X1),X3))) = X1,
inference(rw,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_34,axiom,
meet(join(X1,X2),X1) = X1,
absorption_b ).
cnf(c_0_35,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_36,plain,
meet(unit,ld(X1,join(X1,X2))) = unit,
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_37,plain,
join(X1,ld(unit,X1)) = ld(unit,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_22]) ).
cnf(c_0_38,plain,
join(X1,op(X2,ld(X2,X1))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_23]) ).
cnf(c_0_39,plain,
meet(X1,join(X1,X2)) = X1,
inference(rw,[status(thm)],[c_0_34,c_0_20]) ).
cnf(c_0_40,axiom,
join(X1,X1) = X1,
idempotence_of_join ).
cnf(c_0_41,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_35]) ).
cnf(c_0_42,plain,
meet(unit,ld(X1,ld(unit,X1))) = unit,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
ld(unit,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_24]),c_0_37]) ).
cnf(c_0_44,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_22]) ).
cnf(c_0_45,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_46,plain,
meet(X1,ld(X2,op(X2,X1))) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_40]) ).
cnf(c_0_47,plain,
join(ld(X1,X1),meet(X2,unit)) = ld(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_43]) ).
cnf(c_0_48,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
meet(unit,ld(X1,X1)) = unit,
inference(spm,[status(thm)],[c_0_46,c_0_30]) ).
cnf(c_0_50,plain,
join(meet(X1,unit),ld(X2,X2)) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_22,c_0_47]) ).
cnf(c_0_51,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_22]) ).
cnf(c_0_52,plain,
join(unit,ld(X1,X1)) = ld(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_49]),c_0_22]) ).
cnf(c_0_53,axiom,
meet(rd(join(op(X1,X2),X3),X2),X1) = X1,
residual_d ).
cnf(c_0_54,plain,
join(meet(unit,X1),ld(X2,X2)) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_50,c_0_20]) ).
cnf(c_0_55,plain,
meet(X1,op(X2,ld(X2,X1))) = op(X2,ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_38]),c_0_20]) ).
cnf(c_0_56,plain,
meet(unit,join(X1,ld(X2,X2))) = unit,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
meet(X1,rd(join(op(X1,X2),X3),X2)) = X1,
inference(rw,[status(thm)],[c_0_53,c_0_20]) ).
cnf(c_0_58,plain,
join(op(X1,ld(X1,unit)),ld(X2,X2)) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
meet(unit,join(ld(X1,X1),X2)) = unit,
inference(spm,[status(thm)],[c_0_56,c_0_22]) ).
cnf(c_0_60,plain,
join(X1,ld(X2,op(X2,X1))) = ld(X2,op(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_46]),c_0_22]) ).
cnf(c_0_61,plain,
meet(X1,rd(op(X1,X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_57,c_0_28]) ).
cnf(c_0_62,plain,
meet(X1,rd(ld(X2,X2),ld(X1,unit))) = X1,
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,plain,
join(X1,op(X2,meet(X3,ld(X2,X1)))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_64,plain,
meet(unit,ld(X1,op(X1,ld(X2,X2)))) = unit,
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,plain,
join(X1,op(meet(X2,meet(X3,rd(X1,X4))),X4)) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_35]) ).
cnf(c_0_66,plain,
meet(unit,rd(X1,X1)) = unit,
inference(spm,[status(thm)],[c_0_61,c_0_24]) ).
cnf(c_0_67,plain,
meet(X1,rd(unit,ld(X1,unit))) = X1,
inference(spm,[status(thm)],[c_0_62,c_0_43]) ).
cnf(c_0_68,plain,
join(X1,op(X1,ld(X2,X2))) = op(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_30]),c_0_22]) ).
cnf(c_0_69,plain,
meet(X1,rd(join(X2,op(X1,X3)),X3)) = X1,
inference(spm,[status(thm)],[c_0_57,c_0_22]) ).
cnf(c_0_70,plain,
join(X1,op(meet(X2,unit),X1)) = X1,
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,plain,
join(unit,op(meet(X1,X2),ld(X2,unit))) = unit,
inference(spm,[status(thm)],[c_0_65,c_0_67]) ).
cnf(c_0_72,axiom,
op(op(X1,X2),X3) = op(X1,op(X2,X3)),
monoid_associativity ).
cnf(c_0_73,plain,
op(X1,ld(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_38,c_0_68]) ).
cnf(c_0_74,plain,
meet(unit,meet(ld(X1,X1),X2)) = meet(unit,X2),
inference(spm,[status(thm)],[c_0_35,c_0_49]) ).
cnf(c_0_75,plain,
meet(X1,rd(X2,ld(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_69,c_0_38]) ).
cnf(c_0_76,plain,
join(X1,op(meet(unit,X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_70,c_0_20]) ).
cnf(c_0_77,plain,
meet(X1,ld(X2,join(X3,op(X2,X1)))) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_78,plain,
join(unit,op(X1,ld(join(X2,X1),unit))) = unit,
inference(spm,[status(thm)],[c_0_71,c_0_44]) ).
cnf(c_0_79,plain,
meet(X1,ld(X2,ld(X3,op(X3,op(X2,X1))))) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_60]) ).
cnf(c_0_80,plain,
op(X1,op(ld(X1,X1),X2)) = op(X1,X2),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,plain,
meet(X1,op(meet(X2,rd(X1,X3)),X3)) = op(meet(X2,rd(X1,X3)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_28]),c_0_20]) ).
cnf(c_0_82,plain,
meet(unit,rd(X1,ld(ld(X2,X2),X1))) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_49]) ).
cnf(c_0_83,plain,
join(X1,op(X2,op(ld(X2,unit),X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_55]),c_0_72]) ).
cnf(c_0_84,plain,
join(X1,ld(X2,join(X3,op(X2,X1)))) = ld(X2,join(X3,op(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_77]),c_0_22]) ).
cnf(c_0_85,plain,
join(unit,op(X1,op(ld(X1,X2),ld(X2,unit)))) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_38]),c_0_72]) ).
cnf(c_0_86,plain,
meet(X1,ld(ld(X2,X2),ld(X2,op(X2,X1)))) = X1,
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,plain,
meet(X1,ld(ld(X2,X2),X1)) = ld(ld(X2,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_24]),c_0_24]) ).
cnf(c_0_88,plain,
meet(unit,rd(op(ld(X1,X1),X2),X2)) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_61]),c_0_49]) ).
cnf(c_0_89,axiom,
join(X1,X2) = rd(X1,ld(join(X1,X2),X1)),
generalized_mv_algebra_a ).
cnf(c_0_90,plain,
meet(ld(X1,X2),op(ld(X1,unit),X2)) = op(ld(X1,unit),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_83]),c_0_20]) ).
cnf(c_0_91,plain,
join(ld(X1,unit),op(ld(X1,X2),ld(X2,unit))) = ld(X1,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_22]) ).
cnf(c_0_92,plain,
ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_73]),c_0_87]) ).
cnf(c_0_93,plain,
join(X1,op(ld(X2,X2),X1)) = op(ld(X2,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_88]),c_0_24]),c_0_22]) ).
cnf(c_0_94,plain,
rd(X1,ld(join(X2,X1),X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_89,c_0_22]) ).
cnf(c_0_95,plain,
join(unit,ld(ld(X1,X1),unit)) = unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_42]),c_0_43]),c_0_24]) ).
cnf(c_0_96,plain,
join(ld(X1,X2),op(ld(X1,unit),X2)) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_90]) ).
cnf(c_0_97,plain,
op(ld(X1,X1),ld(ld(X1,X1),unit)) = ld(ld(X1,X1),unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_98,plain,
rd(ld(ld(X1,X1),unit),ld(ld(X1,X1),unit)) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_43]) ).
cnf(c_0_99,plain,
meet(unit,ld(X1,join(X2,X1))) = unit,
inference(spm,[status(thm)],[c_0_36,c_0_22]) ).
cnf(c_0_100,plain,
meet(unit,rd(join(X1,X2),X1)) = unit,
inference(spm,[status(thm)],[c_0_57,c_0_24]) ).
cnf(c_0_101,plain,
meet(X1,ld(ld(X2,unit),ld(X2,X1))) = X1,
inference(spm,[status(thm)],[c_0_77,c_0_96]) ).
cnf(c_0_102,plain,
ld(X1,X1) = unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_97]),c_0_98]),c_0_20]),c_0_49]) ).
cnf(c_0_103,plain,
meet(unit,ld(meet(X1,X2),X2)) = unit,
inference(spm,[status(thm)],[c_0_99,c_0_31]) ).
cnf(c_0_104,plain,
meet(ld(X1,unit),ld(meet(X2,X1),unit)) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_77,c_0_71]) ).
cnf(c_0_105,plain,
meet(unit,rd(join(X1,X2),X2)) = unit,
inference(spm,[status(thm)],[c_0_100,c_0_22]) ).
cnf(c_0_106,axiom,
meet(X1,X1) = X1,
idempotence_of_meet ).
cnf(c_0_107,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_108,plain,
meet(X1,ld(ld(X1,unit),unit)) = X1,
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_109,plain,
join(unit,op(ld(X1,unit),X1)) = unit,
inference(spm,[status(thm)],[c_0_96,c_0_102]) ).
cnf(c_0_110,plain,
meet(unit,ld(op(X1,ld(X1,X2)),X2)) = unit,
inference(spm,[status(thm)],[c_0_99,c_0_38]) ).
cnf(c_0_111,plain,
meet(unit,ld(ld(X1,unit),ld(meet(X2,X1),unit))) = unit,
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_112,plain,
meet(unit,rd(X1,meet(X2,X1))) = unit,
inference(spm,[status(thm)],[c_0_105,c_0_31]) ).
cnf(c_0_113,plain,
join(X1,op(rd(X1,X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_106]) ).
cnf(c_0_114,plain,
meet(X1,ld(ld(join(X1,X2),unit),unit)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_39]) ).
cnf(c_0_115,plain,
join(X1,ld(ld(X1,unit),unit)) = ld(ld(X1,unit),unit),
inference(spm,[status(thm)],[c_0_84,c_0_109]) ).
cnf(c_0_116,plain,
meet(rd(unit,X1),ld(X1,unit)) = ld(X1,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_109]),c_0_20]) ).
cnf(c_0_117,plain,
meet(unit,meet(ld(op(X1,ld(X1,X2)),X2),X3)) = meet(unit,X3),
inference(spm,[status(thm)],[c_0_35,c_0_110]) ).
cnf(c_0_118,plain,
meet(ld(X1,unit),ld(ld(X2,X1),ld(X2,unit))) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_77,c_0_91]) ).
cnf(c_0_119,plain,
meet(unit,ld(ld(join(X1,X2),unit),ld(X1,unit))) = unit,
inference(spm,[status(thm)],[c_0_111,c_0_39]) ).
cnf(c_0_120,plain,
meet(unit,rd(rd(unit,ld(X1,unit)),X1)) = unit,
inference(spm,[status(thm)],[c_0_112,c_0_67]) ).
cnf(c_0_121,plain,
meet(X1,ld(rd(X2,X1),X2)) = X1,
inference(spm,[status(thm)],[c_0_77,c_0_113]) ).
cnf(c_0_122,plain,
join(X1,op(meet(X2,X3),ld(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_65,c_0_75]) ).
cnf(c_0_123,plain,
meet(X1,ld(ld(ld(ld(X1,unit),unit),unit),unit)) = X1,
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_124,axiom,
join(X1,X2) = ld(rd(X1,join(X1,X2)),X1),
generalized_mv_algebra_b ).
cnf(c_0_125,plain,
ld(ld(join(unit,X1),unit),unit) = join(unit,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_89]),c_0_108]) ).
cnf(c_0_126,plain,
meet(unit,ld(ld(X1,op(X2,ld(X2,unit))),ld(X1,unit))) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_110]) ).
cnf(c_0_127,plain,
join(ld(X1,unit),ld(join(X1,X2),unit)) = ld(X1,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_119]),c_0_30]) ).
cnf(c_0_128,plain,
join(X1,rd(unit,ld(X1,unit))) = rd(unit,ld(X1,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_120]),c_0_24]),c_0_22]) ).
cnf(c_0_129,plain,
join(X1,ld(rd(X2,X1),X2)) = ld(rd(X2,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_121]),c_0_22]) ).
cnf(c_0_130,plain,
join(X1,op(X2,ld(join(X2,X3),X1))) = X1,
inference(spm,[status(thm)],[c_0_122,c_0_39]) ).
cnf(c_0_131,plain,
ld(join(unit,X1),unit) = rd(unit,join(unit,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),c_0_116]) ).
cnf(c_0_132,plain,
meet(unit,ld(X1,ld(X2,join(X3,op(X2,X1))))) = unit,
inference(spm,[status(thm)],[c_0_103,c_0_77]) ).
cnf(c_0_133,plain,
join(ld(X1,unit),ld(X1,op(X2,ld(X2,unit)))) = ld(X1,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_126]),c_0_30]) ).
cnf(c_0_134,plain,
ld(rd(unit,ld(X1,unit)),unit) = ld(X1,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_135,plain,
meet(unit,ld(ld(ld(ld(X1,unit),unit),unit),ld(X1,unit))) = unit,
inference(spm,[status(thm)],[c_0_111,c_0_108]) ).
cnf(c_0_136,negated_conjecture,
at(op(x,ld(x,unit)),unit) != op(x,ld(x,unit)),
goal ).
cnf(c_0_137,axiom,
at(X1,X2) = op(op(X1,ld(X1,unit)),ld(ld(X2,unit),unit)),
definition_of_at ).
cnf(c_0_138,plain,
join(unit,rd(unit,join(unit,X1))) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_24]) ).
cnf(c_0_139,plain,
join(unit,ld(meet(X1,X2),X2)) = ld(meet(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_103]),c_0_22]) ).
cnf(c_0_140,plain,
meet(unit,ld(ld(X1,unit),ld(ld(X2,X1),ld(X2,unit)))) = unit,
inference(spm,[status(thm)],[c_0_132,c_0_91]) ).
cnf(c_0_141,plain,
ld(X1,op(X1,ld(X1,unit))) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_60,c_0_133]) ).
cnf(c_0_142,plain,
ld(ld(X1,unit),unit) = rd(unit,ld(X1,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_134]),c_0_116]) ).
cnf(c_0_143,plain,
ld(ld(ld(X1,unit),unit),unit) = ld(X1,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_135]),c_0_30]),c_0_115]) ).
cnf(c_0_144,negated_conjecture,
op(op(op(x,ld(x,unit)),ld(op(x,ld(x,unit)),unit)),ld(ld(unit,unit),unit)) != op(x,ld(x,unit)),
inference(rw,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_145,plain,
join(unit,rd(unit,ld(meet(X1,X2),X2))) = unit,
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_146,plain,
meet(unit,rd(unit,ld(op(X1,ld(X1,unit)),unit))) = unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_102]),c_0_142]) ).
cnf(c_0_147,plain,
rd(unit,rd(unit,ld(X1,unit))) = ld(X1,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_142]),c_0_142]) ).
cnf(c_0_148,plain,
join(unit,ld(op(X1,ld(X1,X2)),X2)) = ld(op(X1,ld(X1,X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_110]),c_0_22]) ).
cnf(c_0_149,negated_conjecture,
op(x,op(ld(x,unit),op(ld(op(x,ld(x,unit)),unit),ld(ld(unit,unit),unit)))) != op(x,ld(x,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_72]),c_0_72]),c_0_72]) ).
cnf(c_0_150,plain,
ld(op(X1,ld(X1,unit)),unit) = unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_43]),c_0_147]),c_0_148]) ).
cnf(c_0_151,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_43]),c_0_43]),c_0_30]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MVA008-1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.35 % Computer : n020.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sun Aug 27 05:27:29 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 1.32/1.43 % Version : CSE_E---1.5
% 1.32/1.43 % Problem : theBenchmark.p
% 1.32/1.43 % Proof found
% 1.32/1.43 % SZS status Theorem for theBenchmark.p
% 1.32/1.43 % SZS output start Proof
% See solution above
% 1.32/1.44 % Total time : 0.847000 s
% 1.32/1.44 % SZS output end Proof
% 1.32/1.44 % Total time : 0.850000 s
%------------------------------------------------------------------------------