%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL331-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:20:45 AM UTC 2026
% Result : Unsatisfiable 81.25s 12.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL331-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n011.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 10:37:28 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.25/0.47 start to proof:theBenchmark.p
% 81.25/12.34 % Version : CSI_E---1.1
% 81.25/12.34 % Problem : theBenchmark.p
% 81.25/12.34 % Proof found!
% 81.25/12.34 # SZS status Unsatisfiable
% 81.25/12.34 % SZS output start Proof
% 81.25/12.34 cnf(rule_2, axiom, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', rule_2)).
% 81.25/12.34 cnf(implies_definition, axiom, (implies(X1,X2)=or(not(X1),X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', implies_definition)).
% 81.25/12.34 cnf(rule_1, axiom, (theorem(X1)|~axiom(X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', rule_1)).
% 81.25/12.34 cnf(axiom_1_6, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_6)).
% 81.25/12.34 cnf(axiom_1_4, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_4)).
% 81.25/12.34 cnf(axiom_1_3, axiom, (axiom(implies(X1,or(X2,X1)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_3)).
% 81.25/12.34 cnf(axiom_1_2, axiom, (axiom(implies(or(X1,X1),X1))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_2)).
% 81.25/12.34 cnf(axiom_1_5, axiom, (axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax', axiom_1_5)).
% 81.25/12.34 cnf(prove_this, negated_conjecture, (~theorem(equivalent(implies(and(p,q),r),implies(and(p,q),and(p,r))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_this)).
% 81.25/12.34 cnf(equivalent_defn, axiom, (equivalent(X1,X2)=and(implies(X1,X2),implies(X2,X1))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-2.ax', equivalent_defn)).
% 81.25/12.34 cnf(and_defn, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax', and_defn)).
% 81.25/12.34 cnf(c_0_11, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), inference(fof_simplification,[status(thm)],[rule_2])).
% 81.25/12.34 cnf(c_0_12, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), c_0_11).
% 81.25/12.34 cnf(c_0_13, axiom, (implies(X1,X2)=or(not(X1),X2)), implies_definition).
% 81.25/12.34 cnf(c_0_14, plain, (theorem(X1)|~axiom(X1)), inference(fof_simplification,[status(thm)],[rule_1])).
% 81.25/12.34 cnf(c_0_15, plain, (theorem(X1)|~theorem(X2)|~theorem(or(not(X2),X1))), inference(rw,[status(thm)],[c_0_12, c_0_13])).
% 81.25/12.34 cnf(c_0_16, plain, (theorem(X1)|~axiom(X1)), c_0_14).
% 81.25/12.34 cnf(c_0_17, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), axiom_1_6).
% 81.25/12.34 cnf(c_0_18, plain, (theorem(X1)|~theorem(X2)|~axiom(or(not(X2),X1))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 81.25/12.34 cnf(c_0_19, plain, (axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_13]), c_0_13]), c_0_13])).
% 81.25/12.34 cnf(c_0_20, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))), axiom_1_4).
% 81.25/12.34 cnf(c_0_21, axiom, (axiom(implies(X1,or(X2,X1)))), axiom_1_3).
% 81.25/12.34 cnf(c_0_22, plain, (theorem(or(not(or(X1,X2)),or(X1,X3)))|~theorem(or(not(X2),X3))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 81.25/12.34 cnf(c_0_23, plain, (axiom(or(not(or(X1,X2)),or(X2,X1)))), inference(rw,[status(thm)],[c_0_20, c_0_13])).
% 81.25/12.34 cnf(c_0_24, plain, (axiom(or(not(X1),or(X2,X1)))), inference(rw,[status(thm)],[c_0_21, c_0_13])).
% 81.25/12.34 cnf(c_0_25, plain, (theorem(or(X1,X2))|~theorem(or(not(X3),X2))|~theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_15, c_0_22])).
% 81.25/12.34 cnf(c_0_26, axiom, (axiom(implies(or(X1,X1),X1))), axiom_1_2).
% 81.25/12.34 cnf(c_0_27, plain, (theorem(or(X1,X2))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_18, c_0_23])).
% 81.25/12.34 cnf(c_0_28, plain, (theorem(or(X1,X2))|~theorem(X2)), inference(spm,[status(thm)],[c_0_18, c_0_24])).
% 81.25/12.34 cnf(c_0_29, plain, (theorem(or(X1,X2))|~theorem(or(X1,X3))|~axiom(or(not(X3),X2))), inference(spm,[status(thm)],[c_0_25, c_0_16])).
% 81.25/12.34 cnf(c_0_30, plain, (axiom(or(not(or(X1,X1)),X1))), inference(rw,[status(thm)],[c_0_26, c_0_13])).
% 81.25/12.34 cnf(c_0_31, plain, (theorem(or(X1,X2))|~theorem(X1)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 81.25/12.34 cnf(c_0_32, plain, (theorem(or(X1,X2))|~theorem(or(X1,or(X2,X2)))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 81.25/12.34 cnf(c_0_33, plain, (theorem(or(X1,X2))|~theorem(or(X1,X3))|~theorem(not(X3))), inference(spm,[status(thm)],[c_0_25, c_0_31])).
% 81.25/12.34 cnf(c_0_34, plain, (theorem(or(X1,X2))|~axiom(or(X2,X1))), inference(spm,[status(thm)],[c_0_27, c_0_16])).
% 81.25/12.34 cnf(c_0_35, plain, (theorem(or(X1,X2))|~axiom(or(X1,or(X2,X2)))), inference(spm,[status(thm)],[c_0_32, c_0_16])).
% 81.25/12.34 cnf(c_0_36, plain, (theorem(or(X1,X2))|~theorem(not(X3))|~axiom(or(X1,X3))), inference(spm,[status(thm)],[c_0_33, c_0_16])).
% 81.25/12.34 cnf(c_0_37, plain, (theorem(X1)|~theorem(X2)|~axiom(or(X1,not(X2)))), inference(spm,[status(thm)],[c_0_15, c_0_34])).
% 81.25/12.34 cnf(c_0_38, plain, (theorem(or(not(X1),X1))), inference(spm,[status(thm)],[c_0_35, c_0_24])).
% 81.25/12.34 cnf(c_0_39, plain, (theorem(or(not(X1),X2))|~theorem(not(or(X3,X1)))), inference(spm,[status(thm)],[c_0_36, c_0_24])).
% 81.25/12.34 cnf(c_0_40, plain, (theorem(not(or(not(X1),not(X1))))|~theorem(X1)), inference(spm,[status(thm)],[c_0_37, c_0_30])).
% 81.25/12.34 cnf(c_0_41, axiom, (axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))), axiom_1_5).
% 81.25/12.34 cnf(c_0_42, plain, (theorem(or(X1,not(X1)))), inference(spm,[status(thm)],[c_0_27, c_0_38])).
% 81.25/12.34 cnf(c_0_43, plain, (theorem(or(X1,X2))|~theorem(not(X3))|~axiom(or(X3,X1))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 81.25/12.34 cnf(c_0_44, plain, (theorem(X1)|~theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_18, c_0_30])).
% 81.25/12.34 cnf(c_0_45, plain, (theorem(or(not(not(X1)),X2))|~theorem(X1)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
% 81.25/12.34 cnf(c_0_46, plain, (axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3))))), inference(rw,[status(thm)],[c_0_41, c_0_13])).
% 81.25/12.34 cnf(c_0_47, plain, (theorem(or(X1,not(not(X2))))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_25, c_0_42])).
% 81.25/12.34 cnf(c_0_48, plain, (theorem(or(X1,X2))|~theorem(not(not(or(X1,X1))))), inference(spm,[status(thm)],[c_0_43, c_0_30])).
% 81.25/12.34 cnf(c_0_49, plain, (theorem(not(not(X1)))|~theorem(X1)), inference(spm,[status(thm)],[c_0_44, c_0_45])).
% 81.25/12.34 cnf(c_0_50, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X2,or(X1,X3)))), inference(spm,[status(thm)],[c_0_18, c_0_46])).
% 81.25/12.34 cnf(c_0_51, plain, (theorem(not(not(X1)))|~theorem(or(not(X2),X1))|~theorem(X2)), inference(spm,[status(thm)],[c_0_15, c_0_47])).
% 81.25/12.34 cnf(c_0_52, plain, (theorem(or(not(or(X1,X1)),X1))), inference(spm,[status(thm)],[c_0_35, c_0_23])).
% 81.25/12.34 cnf(c_0_53, plain, (theorem(or(X1,X2))|~theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_48, c_0_49])).
% 81.25/12.34 cnf(c_0_54, plain, (theorem(or(X1,or(X2,X3)))|~axiom(or(X2,or(X1,X3)))), inference(spm,[status(thm)],[c_0_50, c_0_16])).
% 81.25/12.34 cnf(c_0_55, plain, (theorem(not(not(X1)))|~theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
% 81.25/12.34 cnf(c_0_56, plain, (theorem(or(or(X1,X2),X3))|~axiom(or(X1,or(or(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_53, c_0_54])).
% 81.25/12.34 cnf(c_0_57, plain, (theorem(or(not(not(X1)),X2))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_27, c_0_47])).
% 81.25/12.34 cnf(c_0_58, plain, (theorem(not(not(not(not(X1)))))|~theorem(or(not(not(X1)),X1))), inference(spm,[status(thm)],[c_0_55, c_0_47])).
% 81.25/12.34 cnf(c_0_59, plain, (theorem(or(or(not(X1),X1),X2))), inference(spm,[status(thm)],[c_0_56, c_0_24])).
% 81.25/12.34 cnf(c_0_60, plain, (theorem(X1)|~theorem(or(X1,X2))|~theorem(not(X2))), inference(spm,[status(thm)],[c_0_15, c_0_57])).
% 81.25/12.34 cnf(c_0_61, plain, (theorem(not(not(not(not(X1)))))|~theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_58, c_0_57])).
% 81.25/12.34 cnf(c_0_62, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X1,or(X3,X2)))), inference(spm,[status(thm)],[c_0_29, c_0_23])).
% 81.25/12.34 cnf(c_0_63, plain, (theorem(or(X1,or(not(X2),X2)))), inference(spm,[status(thm)],[c_0_27, c_0_59])).
% 81.25/12.34 cnf(c_0_64, plain, (theorem(X1)|~theorem(not(not(not(X2))))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_60, c_0_47])).
% 81.25/12.34 cnf(c_0_65, plain, (theorem(not(not(not(not(not(not(X1)))))))|~theorem(or(not(not(X1)),X1))), inference(spm,[status(thm)],[c_0_61, c_0_57])).
% 81.25/12.34 cnf(c_0_66, plain, (theorem(or(X1,or(X2,not(X2))))), inference(spm,[status(thm)],[c_0_62, c_0_63])).
% 81.25/12.34 cnf(c_0_67, plain, (theorem(X1)|~theorem(not(not(not(not(not(X2))))))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_64, c_0_47])).
% 81.25/12.34 cnf(c_0_68, plain, (theorem(not(not(not(not(not(not(or(X1,not(X1)))))))))), inference(spm,[status(thm)],[c_0_65, c_0_66])).
% 81.25/12.34 cnf(c_0_69, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_50, c_0_28])).
% 81.25/12.34 cnf(c_0_70, plain, (theorem(X1)|~theorem(or(X1,not(or(X2,not(X2)))))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 81.25/12.34 cnf(c_0_71, plain, (theorem(or(or(X1,X2),not(or(X1,X3))))|~theorem(or(not(X3),X2))), inference(spm,[status(thm)],[c_0_27, c_0_22])).
% 81.25/12.34 cnf(c_0_72, plain, (theorem(or(not(or(X1,X2)),X1))|~theorem(or(not(X2),X1))), inference(spm,[status(thm)],[c_0_32, c_0_22])).
% 81.25/12.34 cnf(c_0_73, plain, (theorem(or(X1,X2))|~theorem(or(not(X3),X2))|~theorem(X3)), inference(spm,[status(thm)],[c_0_15, c_0_69])).
% 81.25/12.34 cnf(c_0_74, negated_conjecture, (~theorem(equivalent(implies(and(p,q),r),implies(and(p,q),and(p,r))))), inference(fof_simplification,[status(thm)],[prove_this])).
% 81.25/12.34 cnf(c_0_75, axiom, (equivalent(X1,X2)=and(implies(X1,X2),implies(X2,X1))), equivalent_defn).
% 81.25/12.34 cnf(c_0_76, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), and_defn).
% 81.25/12.34 cnf(c_0_77, plain, (theorem(X1)|~theorem(not(or(X2,X3)))|~theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_60, c_0_69])).
% 81.25/12.34 cnf(c_0_78, plain, (theorem(or(X1,X2))|~theorem(X3)|~axiom(or(X1,or(not(X3),X2)))), inference(spm,[status(thm)],[c_0_15, c_0_54])).
% 81.25/12.34 cnf(c_0_79, plain, (theorem(or(X1,X2))|~theorem(or(not(not(X1)),X2))), inference(spm,[status(thm)],[c_0_70, c_0_71])).
% 81.25/12.34 cnf(c_0_80, plain, (theorem(X1)|~theorem(or(not(X2),X1))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_15, c_0_72])).
% 81.25/12.34 cnf(c_0_81, plain, (theorem(or(X1,X2))|~theorem(X3)|~axiom(or(not(X3),X2))), inference(spm,[status(thm)],[c_0_73, c_0_16])).
% 81.25/12.34 cnf(c_0_82, negated_conjecture, (~theorem(equivalent(implies(and(p,q),r),implies(and(p,q),and(p,r))))), c_0_74).
% 81.25/12.34 cnf(c_0_83, plain, (equivalent(X1,X2)=not(or(not(or(not(X1),X2)),not(or(not(X2),X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_13]), c_0_13]), c_0_76])).
% 81.25/12.34 cnf(c_0_84, plain, (theorem(X1)|~theorem(or(X1,not(X2)))|~theorem(X2)), inference(spm,[status(thm)],[c_0_77, c_0_40])).
% 81.25/12.34 cnf(c_0_85, plain, (theorem(or(not(or(X1,not(X2))),X1))|~theorem(X2)), inference(spm,[status(thm)],[c_0_78, c_0_23])).
% 81.25/12.34 cnf(c_0_86, plain, (theorem(or(X1,not(not(X2))))|~theorem(or(not(not(X1)),X2))), inference(spm,[status(thm)],[c_0_79, c_0_47])).
% 81.25/12.34 cnf(c_0_87, plain, (theorem(or(not(X1),or(X2,X1)))), inference(spm,[status(thm)],[c_0_50, c_0_63])).
% 81.25/12.34 cnf(c_0_88, plain, (theorem(X1)|~theorem(or(X1,or(X1,X2)))|~theorem(or(not(X2),X1))), inference(spm,[status(thm)],[c_0_80, c_0_72])).
% 81.25/12.34 cnf(c_0_89, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X3,X2))), inference(spm,[status(thm)],[c_0_81, c_0_23])).
% 81.25/12.34 cnf(c_0_90, negated_conjecture, (~theorem(not(or(not(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(q)))),not(or(not(p),not(r)))))),not(or(not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))),or(not(not(or(not(p),not(q)))),r))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_13]), c_0_13]), c_0_76]), c_0_76]), c_0_76]), c_0_83])).
% 81.25/12.34 cnf(c_0_91, plain, (theorem(not(or(not(X1),not(X2))))|~theorem(X1)|~theorem(X2)), inference(spm,[status(thm)],[c_0_84, c_0_85])).
% 81.25/12.34 cnf(c_0_92, plain, (theorem(or(X1,not(not(or(X2,not(X1))))))), inference(spm,[status(thm)],[c_0_86, c_0_87])).
% 81.25/12.34 cnf(c_0_93, plain, (theorem(X1)|~theorem(or(not(X2),X1))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_88, c_0_89])).
% 81.25/12.34 cnf(c_0_94, plain, (theorem(or(X1,or(not(or(X1,X2)),X3)))|~theorem(or(not(X2),X3))), inference(spm,[status(thm)],[c_0_50, c_0_22])).
% 81.25/12.34 cnf(c_0_95, plain, (theorem(or(not(X1),or(X1,X2)))), inference(spm,[status(thm)],[c_0_62, c_0_87])).
% 81.25/12.34 cnf(c_0_96, negated_conjecture, (~theorem(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))))|~theorem(or(not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))),or(not(not(or(not(p),not(q)))),r)))), inference(spm,[status(thm)],[c_0_90, c_0_91])).
% 81.25/12.34 cnf(c_0_97, plain, (theorem(or(not(not(or(X1,not(X2)))),X2))), inference(spm,[status(thm)],[c_0_27, c_0_92])).
% 81.25/12.34 cnf(c_0_98, plain, (theorem(or(X1,X2))|~theorem(or(X2,or(X1,X2)))), inference(spm,[status(thm)],[c_0_93, c_0_87])).
% 81.25/12.34 cnf(c_0_99, plain, (theorem(or(X1,or(not(or(not(X2),X3)),X4)))|~theorem(or(not(X3),X4))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_25, c_0_94])).
% 81.25/12.34 cnf(c_0_100, plain, (theorem(or(X1,or(not(X1),X2)))), inference(spm,[status(thm)],[c_0_50, c_0_95])).
% 81.25/12.34 cnf(c_0_101, plain, (theorem(or(X1,X2))|~theorem(not(not(X1)))), inference(spm,[status(thm)],[c_0_33, c_0_42])).
% 81.25/12.34 cnf(c_0_102, negated_conjecture, (~theorem(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_22]), c_0_97])])).
% 81.25/12.34 cnf(c_0_103, plain, (theorem(or(not(or(not(X1),X2)),X3))|~theorem(or(not(X2),X3))|~theorem(or(X3,X1))), inference(spm,[status(thm)],[c_0_98, c_0_99])).
% 81.25/12.34 cnf(c_0_104, plain, (theorem(or(or(not(X1),X2),X1))), inference(spm,[status(thm)],[c_0_27, c_0_100])).
% 81.25/12.34 cnf(c_0_105, plain, (theorem(or(X1,X2))|~theorem(not(not(X2)))), inference(spm,[status(thm)],[c_0_27, c_0_101])).
% 81.25/12.34 cnf(c_0_106, plain, (theorem(or(X1,X2))|~theorem(or(X1,not(X3)))|~theorem(X3)), inference(spm,[status(thm)],[c_0_25, c_0_45])).
% 81.25/12.34 cnf(c_0_107, negated_conjecture, (~theorem(or(not(r),or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_104])])).
% 81.25/12.34 cnf(c_0_108, plain, (theorem(or(X1,or(not(not(X2)),X3)))|~theorem(or(or(X1,X3),X2))), inference(spm,[status(thm)],[c_0_50, c_0_57])).
% 81.25/12.34 cnf(c_0_109, plain, (theorem(or(X1,or(X2,X3)))|~theorem(not(not(or(X1,X3))))), inference(spm,[status(thm)],[c_0_50, c_0_105])).
% 81.25/12.34 cnf(c_0_110, plain, (theorem(or(X1,X2))|~theorem(X3)|~axiom(or(not(X3),X1))), inference(spm,[status(thm)],[c_0_106, c_0_34])).
% 81.25/12.34 cnf(c_0_111, negated_conjecture, (~theorem(or(or(not(r),not(or(not(p),not(r)))),or(not(p),not(q))))), inference(spm,[status(thm)],[c_0_107, c_0_108])).
% 81.25/12.34 cnf(c_0_112, plain, (theorem(or(X1,or(X2,X3)))|~theorem(not(not(or(X1,X2))))), inference(spm,[status(thm)],[c_0_62, c_0_109])).
% 81.25/12.34 cnf(c_0_113, plain, (theorem(or(or(X1,X2),X3))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_110, c_0_23])).
% 81.25/12.34 cnf(c_0_114, plain, (theorem(or(X1,or(not(or(X1,X2)),X2)))), inference(spm,[status(thm)],[c_0_50, c_0_38])).
% 81.25/12.34 cnf(c_0_115, negated_conjecture, (~theorem(not(not(or(or(not(r),not(or(not(p),not(r)))),not(p)))))), inference(spm,[status(thm)],[c_0_111, c_0_112])).
% 81.25/12.34 cnf(c_0_116, plain, (theorem(not(not(or(X1,X2))))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_55, c_0_113])).
% 81.25/12.34 cnf(c_0_117, plain, (theorem(or(X1,or(X2,not(or(X1,X2)))))), inference(spm,[status(thm)],[c_0_62, c_0_114])).
% 81.25/12.34 cnf(c_0_118, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_116]), c_0_117])]), ['proof']).
% 81.25/12.34 % SZS output end Proof
% 81.25/12.34 % User time : 10.877 s
% 81.25/12.34 % System time : 0.383 s
% 81.25/12.34 % Total time : 11.260 s
% 81.25/12.34 % User time : 56.314 s
% 81.25/12.34 % System time : 0.965 s
% 81.25/12.34 % Total time : 57.279 s
% 81.25/12.34
%------------------------------------------------------------------------------