%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL255-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n019.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 11:20:39 AM UTC 2026
% Result : Unsatisfiable 215.24s 32.86s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL255-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.34 % Computer : n019.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Fri Sep 4 17:40:08 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.25/0.46 start to proof:theBenchmark.p
% 215.24/32.86 % Version : CSI_E---1.1
% 215.24/32.86 % Problem : theBenchmark.p
% 215.24/32.86 % Proof found!
% 215.24/32.86 # SZS status Unsatisfiable
% 215.24/32.86 % SZS output start Proof
% 215.24/32.86 cnf(rule_2, axiom, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', rule_2)).
% 215.24/32.86 cnf(implies_definition, axiom, (implies(X1,X2)=or(not(X1),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', implies_definition)).
% 215.24/32.86 cnf(rule_1, axiom, (theorem(X1)|~axiom(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', rule_1)).
% 215.24/32.86 cnf(axiom_1_6, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', axiom_1_6)).
% 215.24/32.86 cnf(axiom_1_4, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', axiom_1_4)).
% 215.24/32.86 cnf(axiom_1_3, axiom, (axiom(implies(X1,or(X2,X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', axiom_1_3)).
% 215.24/32.86 cnf(axiom_1_2, axiom, (axiom(implies(or(X1,X1),X1))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', axiom_1_2)).
% 215.24/32.86 cnf(axiom_1_5, axiom, (axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax', axiom_1_5)).
% 215.24/32.86 cnf(prove_this, negated_conjecture, (~theorem(implies(and(implies(p,r),implies(q,s)),implies(or(p,q),or(r,s))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this)).
% 215.24/32.86 cnf(and_defn, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax', and_defn)).
% 215.24/32.86 cnf(c_0_10, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), inference(fof_simplification,[status(thm)],[rule_2])).
% 215.24/32.86 cnf(c_0_11, plain, (theorem(X1)|~theorem(implies(X2,X1))|~theorem(X2)), c_0_10).
% 215.24/32.86 cnf(c_0_12, axiom, (implies(X1,X2)=or(not(X1),X2)), implies_definition).
% 215.24/32.86 cnf(c_0_13, plain, (theorem(X1)|~axiom(X1)), inference(fof_simplification,[status(thm)],[rule_1])).
% 215.24/32.86 cnf(c_0_14, plain, (theorem(X1)|~theorem(X2)|~theorem(or(not(X2),X1))), inference(rw,[status(thm)],[c_0_11, c_0_12])).
% 215.24/32.86 cnf(c_0_15, plain, (theorem(X1)|~axiom(X1)), c_0_13).
% 215.24/32.86 cnf(c_0_16, axiom, (axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), axiom_1_6).
% 215.24/32.86 cnf(c_0_17, axiom, (axiom(implies(or(X1,X2),or(X2,X1)))), axiom_1_4).
% 215.24/32.86 cnf(c_0_18, axiom, (axiom(implies(X1,or(X2,X1)))), axiom_1_3).
% 215.24/32.86 cnf(c_0_19, plain, (theorem(X1)|~theorem(X2)|~axiom(or(not(X2),X1))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 215.24/32.86 cnf(c_0_20, 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_16, c_0_12]), c_0_12]), c_0_12])).
% 215.24/32.86 cnf(c_0_21, plain, (axiom(or(not(or(X1,X2)),or(X2,X1)))), inference(rw,[status(thm)],[c_0_17, c_0_12])).
% 215.24/32.86 cnf(c_0_22, plain, (axiom(or(not(X1),or(X2,X1)))), inference(rw,[status(thm)],[c_0_18, c_0_12])).
% 215.24/32.86 cnf(c_0_23, plain, (theorem(or(not(or(X1,X2)),or(X1,X3)))|~theorem(or(not(X2),X3))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 215.24/32.86 cnf(c_0_24, plain, (theorem(or(X1,X2))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_19, c_0_21])).
% 215.24/32.86 cnf(c_0_25, plain, (theorem(or(X1,X2))|~theorem(X2)), inference(spm,[status(thm)],[c_0_19, c_0_22])).
% 215.24/32.86 cnf(c_0_26, plain, (theorem(or(X1,X2))|~theorem(or(not(X3),X2))|~theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_14, c_0_23])).
% 215.24/32.86 cnf(c_0_27, axiom, (axiom(implies(or(X1,X1),X1))), axiom_1_2).
% 215.24/32.86 cnf(c_0_28, plain, (theorem(or(X1,X2))|~theorem(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 215.24/32.86 cnf(c_0_29, plain, (theorem(or(X1,X2))|~theorem(or(X1,X3))|~axiom(or(not(X3),X2))), inference(spm,[status(thm)],[c_0_26, c_0_15])).
% 215.24/32.86 cnf(c_0_30, plain, (axiom(or(not(or(X1,X1)),X1))), inference(rw,[status(thm)],[c_0_27, c_0_12])).
% 215.24/32.86 cnf(c_0_31, plain, (theorem(or(X1,X2))|~theorem(or(X1,X3))|~theorem(not(X3))), inference(spm,[status(thm)],[c_0_26, c_0_28])).
% 215.24/32.86 cnf(c_0_32, plain, (theorem(or(X1,X2))|~axiom(or(X2,X1))), inference(spm,[status(thm)],[c_0_24, c_0_15])).
% 215.24/32.86 cnf(c_0_33, plain, (theorem(or(X1,X2))|~theorem(or(X1,or(X2,X2)))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 215.24/32.86 cnf(c_0_34, plain, (theorem(or(X1,X2))|~theorem(not(X3))|~axiom(or(X1,X3))), inference(spm,[status(thm)],[c_0_31, c_0_15])).
% 215.24/32.86 cnf(c_0_35, plain, (theorem(X1)|~theorem(X2)|~axiom(or(X1,not(X2)))), inference(spm,[status(thm)],[c_0_14, c_0_32])).
% 215.24/32.86 cnf(c_0_36, plain, (theorem(or(X1,X2))|~axiom(or(X1,or(X2,X2)))), inference(spm,[status(thm)],[c_0_33, c_0_15])).
% 215.24/32.86 cnf(c_0_37, axiom, (axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))), axiom_1_5).
% 215.24/32.86 cnf(c_0_38, plain, (theorem(or(not(X1),X2))|~theorem(not(or(X3,X1)))), inference(spm,[status(thm)],[c_0_34, c_0_22])).
% 215.24/32.86 cnf(c_0_39, plain, (theorem(not(or(not(X1),not(X1))))|~theorem(X1)), inference(spm,[status(thm)],[c_0_35, c_0_30])).
% 215.24/32.86 cnf(c_0_40, plain, (theorem(or(not(X1),X1))), inference(spm,[status(thm)],[c_0_36, c_0_22])).
% 215.24/32.86 cnf(c_0_41, plain, (axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3))))), inference(rw,[status(thm)],[c_0_37, c_0_12])).
% 215.24/32.86 cnf(c_0_42, plain, (theorem(or(X1,X2))|~theorem(not(X3))|~axiom(or(X3,X1))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 215.24/32.86 cnf(c_0_43, plain, (theorem(X1)|~theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_19, c_0_30])).
% 215.24/32.86 cnf(c_0_44, plain, (theorem(or(not(not(X1)),X2))|~theorem(X1)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 215.24/32.86 cnf(c_0_45, plain, (theorem(or(X1,not(X1)))), inference(spm,[status(thm)],[c_0_24, c_0_40])).
% 215.24/32.86 cnf(c_0_46, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X2,or(X1,X3)))), inference(spm,[status(thm)],[c_0_19, c_0_41])).
% 215.24/32.86 cnf(c_0_47, plain, (theorem(or(X1,X2))|~theorem(not(not(or(X1,X1))))), inference(spm,[status(thm)],[c_0_42, c_0_30])).
% 215.24/32.86 cnf(c_0_48, plain, (theorem(not(not(X1)))|~theorem(X1)), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 215.24/32.86 cnf(c_0_49, plain, (theorem(or(X1,not(not(X2))))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_26, c_0_45])).
% 215.24/32.86 cnf(c_0_50, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_46, c_0_25])).
% 215.24/32.86 cnf(c_0_51, plain, (theorem(or(X1,X2))|~theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 215.24/32.86 cnf(c_0_52, plain, (theorem(or(X1,or(X2,X3)))|~axiom(or(X2,or(X1,X3)))), inference(spm,[status(thm)],[c_0_46, c_0_15])).
% 215.24/32.86 cnf(c_0_53, plain, (theorem(or(not(not(X1)),X2))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_24, c_0_49])).
% 215.24/32.86 cnf(c_0_54, plain, (theorem(or(not(or(X1,X2)),X1))|~theorem(or(not(X2),X1))), inference(spm,[status(thm)],[c_0_33, c_0_23])).
% 215.24/32.86 cnf(c_0_55, plain, (theorem(or(X1,X2))|~theorem(or(not(X3),X2))|~theorem(X3)), inference(spm,[status(thm)],[c_0_14, c_0_50])).
% 215.24/32.86 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_51, c_0_52])).
% 215.24/32.86 cnf(c_0_57, negated_conjecture, (~theorem(implies(and(implies(p,r),implies(q,s)),implies(or(p,q),or(r,s))))), inference(fof_simplification,[status(thm)],[prove_this])).
% 215.24/32.86 cnf(c_0_58, plain, (theorem(X1)|~theorem(or(X1,X2))|~theorem(not(X2))), inference(spm,[status(thm)],[c_0_14, c_0_53])).
% 215.24/32.86 cnf(c_0_59, plain, (theorem(not(not(X1)))|~theorem(or(not(X2),X1))|~theorem(X2)), inference(spm,[status(thm)],[c_0_14, c_0_49])).
% 215.24/32.86 cnf(c_0_60, plain, (theorem(X1)|~theorem(or(not(X2),X1))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_14, c_0_54])).
% 215.24/32.86 cnf(c_0_61, plain, (theorem(or(X1,X2))|~theorem(X3)|~axiom(or(not(X3),X2))), inference(spm,[status(thm)],[c_0_55, c_0_15])).
% 215.24/32.86 cnf(c_0_62, plain, (theorem(or(or(not(X1),X1),X2))), inference(spm,[status(thm)],[c_0_56, c_0_22])).
% 215.24/32.86 cnf(c_0_63, negated_conjecture, (~theorem(implies(and(implies(p,r),implies(q,s)),implies(or(p,q),or(r,s))))), c_0_57).
% 215.24/32.86 cnf(c_0_64, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), and_defn).
% 215.24/32.86 cnf(c_0_65, plain, (theorem(or(not(not(X1)),X2))|~theorem(or(or(X2,X2),X1))), inference(spm,[status(thm)],[c_0_33, c_0_53])).
% 215.24/32.86 cnf(c_0_66, plain, (theorem(or(or(X1,X2),X3))|~theorem(or(X3,X2))), inference(spm,[status(thm)],[c_0_24, c_0_50])).
% 215.24/32.86 cnf(c_0_67, plain, (theorem(X1)|~theorem(not(X2))|~axiom(or(X2,X1))), inference(spm,[status(thm)],[c_0_58, c_0_32])).
% 215.24/32.86 cnf(c_0_68, plain, (theorem(not(not(X1)))|~theorem(X2)|~axiom(or(not(X2),X1))), inference(spm,[status(thm)],[c_0_59, c_0_15])).
% 215.24/32.86 cnf(c_0_69, plain, (theorem(X1)|~theorem(or(X1,or(X1,X2)))|~theorem(or(not(X2),X1))), inference(spm,[status(thm)],[c_0_60, c_0_54])).
% 215.24/32.86 cnf(c_0_70, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X3,X2))), inference(spm,[status(thm)],[c_0_61, c_0_21])).
% 215.24/32.86 cnf(c_0_71, plain, (theorem(or(X1,or(not(X2),X2)))), inference(spm,[status(thm)],[c_0_24, c_0_62])).
% 215.24/32.86 cnf(c_0_72, negated_conjecture, (~theorem(or(not(not(or(not(or(not(p),r)),not(or(not(q),s))))),or(not(or(p,q)),or(r,s))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_12]), c_0_12]), c_0_12]), c_0_12]), c_0_64])).
% 215.24/32.86 cnf(c_0_73, plain, (theorem(or(not(not(X1)),X2))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_65, c_0_66])).
% 215.24/32.86 cnf(c_0_74, plain, (theorem(or(X1,X2))|~theorem(not(not(or(X2,X1))))), inference(spm,[status(thm)],[c_0_67, c_0_21])).
% 215.24/32.86 cnf(c_0_75, plain, (theorem(not(not(or(X1,or(X2,X3)))))|~theorem(or(X2,or(X1,X3)))), inference(spm,[status(thm)],[c_0_68, c_0_41])).
% 215.24/32.86 cnf(c_0_76, plain, (theorem(X1)|~theorem(or(not(X2),X1))|~theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_69, c_0_70])).
% 215.24/32.86 cnf(c_0_77, plain, (theorem(or(not(X1),or(X2,X1)))), inference(spm,[status(thm)],[c_0_46, c_0_71])).
% 215.24/32.86 cnf(c_0_78, plain, (theorem(or(X1,or(not(or(X1,X2)),X3)))|~theorem(or(not(X2),X3))), inference(spm,[status(thm)],[c_0_46, c_0_23])).
% 215.24/32.86 cnf(c_0_79, negated_conjecture, (~theorem(or(or(not(or(not(p),r)),not(or(not(q),s))),or(not(or(p,q)),or(r,s))))), inference(spm,[status(thm)],[c_0_72, c_0_73])).
% 215.24/32.86 cnf(c_0_80, plain, (theorem(or(or(X1,X2),X3))|~theorem(or(X1,or(X3,X2)))), inference(spm,[status(thm)],[c_0_74, c_0_75])).
% 215.24/32.86 cnf(c_0_81, plain, (theorem(or(X1,X2))|~theorem(or(X2,or(X1,X2)))), inference(spm,[status(thm)],[c_0_76, c_0_77])).
% 215.24/32.86 cnf(c_0_82, 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_26, c_0_78])).
% 215.24/32.86 cnf(c_0_83, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X1,or(X3,X2)))), inference(spm,[status(thm)],[c_0_29, c_0_21])).
% 215.24/32.86 cnf(c_0_84, negated_conjecture, (~theorem(or(not(or(not(p),r)),or(or(not(or(p,q)),or(r,s)),not(or(not(q),s)))))), inference(spm,[status(thm)],[c_0_79, c_0_80])).
% 215.24/32.86 cnf(c_0_85, plain, (theorem(or(not(or(not(X1),X2)),X3))|~theorem(or(not(X2),X3))|~theorem(or(X3,X1))), inference(spm,[status(thm)],[c_0_81, c_0_82])).
% 215.24/32.86 cnf(c_0_86, plain, (theorem(or(X1,or(X2,or(X3,X4))))|~theorem(or(X1,or(X3,or(X2,X4))))), inference(spm,[status(thm)],[c_0_29, c_0_41])).
% 215.24/32.86 cnf(c_0_87, plain, (theorem(or(not(X1),or(X1,X2)))), inference(spm,[status(thm)],[c_0_83, c_0_77])).
% 215.24/32.86 cnf(c_0_88, negated_conjecture, (~theorem(or(not(r),or(or(not(or(p,q)),or(r,s)),not(or(not(q),s)))))|~theorem(or(or(or(not(or(p,q)),or(r,s)),not(or(not(q),s))),p))), inference(spm,[status(thm)],[c_0_84, c_0_85])).
% 215.24/32.86 cnf(c_0_89, plain, (theorem(or(X1,or(X2,X3)))|~theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_83, c_0_50])).
% 215.24/32.86 cnf(c_0_90, plain, (theorem(or(not(X1),or(X2,or(X1,X3))))), inference(spm,[status(thm)],[c_0_86, c_0_87])).
% 215.24/32.86 cnf(c_0_91, negated_conjecture, (~theorem(or(or(or(not(or(p,q)),or(r,s)),not(or(not(q),s))),p))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90])])).
% 215.24/32.86 cnf(c_0_92, negated_conjecture, (~theorem(or(or(not(or(p,q)),or(r,s)),or(p,not(or(not(q),s)))))), inference(spm,[status(thm)],[c_0_91, c_0_80])).
% 215.24/32.86 cnf(c_0_93, plain, (theorem(or(X1,or(or(X2,X3),X4)))|~theorem(or(or(X1,X4),X3))), inference(spm,[status(thm)],[c_0_46, c_0_66])).
% 215.24/32.86 cnf(c_0_94, negated_conjecture, (~theorem(or(not(or(p,q)),or(or(p,not(or(not(q),s))),or(r,s))))), inference(spm,[status(thm)],[c_0_92, c_0_80])).
% 215.24/32.86 cnf(c_0_95, plain, (theorem(or(X1,or(X2,or(X3,X4))))|~theorem(or(or(X1,X2),X4))), inference(spm,[status(thm)],[c_0_83, c_0_93])).
% 215.24/32.86 cnf(c_0_96, plain, (theorem(or(X1,or(not(or(X2,X3)),or(X2,X4))))|~theorem(or(X1,or(not(X3),X4)))), inference(spm,[status(thm)],[c_0_29, c_0_20])).
% 215.24/32.86 cnf(c_0_97, negated_conjecture, (~theorem(or(or(not(or(p,q)),or(p,not(or(not(q),s)))),s))), inference(spm,[status(thm)],[c_0_94, c_0_95])).
% 215.24/32.86 cnf(c_0_98, plain, (theorem(or(or(not(or(X1,X2)),or(X1,X3)),X4))|~theorem(or(X4,or(not(X2),X3)))), inference(spm,[status(thm)],[c_0_24, c_0_96])).
% 215.24/32.86 cnf(c_0_99, negated_conjecture, (~theorem(or(s,or(not(q),not(or(not(q),s)))))), inference(spm,[status(thm)],[c_0_97, c_0_98])).
% 215.24/32.86 cnf(c_0_100, plain, (theorem(or(X1,or(X2,X3)))|~axiom(or(X3,or(X1,X2)))), inference(spm,[status(thm)],[c_0_83, c_0_52])).
% 215.24/32.86 cnf(c_0_101, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_21])]), ['proof']).
% 215.24/32.86 % SZS output end Proof
% 215.24/32.86 % User time : 29.690 s
% 215.24/32.86 % System time : 0.879 s
% 215.24/32.86 % Total time : 30.569 s
% 215.24/32.86 % User time : 150.850 s
% 215.24/32.86 % System time : 2.614 s
% 215.24/32.86 % Total time : 153.464 s
% 215.24/32.86
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