%------------------------------------------------------------------------------ % File : KSP---0.1.7 % Problem : SYP109_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : run_ksp %s % Computer : n004.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 : Tue May 5 07:13:00 PM UTC 2026 % Result : Theorem 1.06s 1.25s % Output : Refutation 1.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYP109_1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : run_ksp %s % 0.15/0.33 % Computer : n004.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon May 4 17:45:47 EDT 2026 % 0.15/0.33 % CPUTime : % 0.36/0.59 ----KSP format--- % 0.36/0.59 set(box,REF). % 0.36/0.59 usable(formulas). % 0.36/0.59 true. % 0.36/0.59 end_of_list. % 0.36/0.59 sos(formulas). % 0.36/0.59 ~ ([] ( p1 ) | [] ( p2 ) | [] ( p3 ) | [] ( p5 ) | <> ( ~ ( p1 ) & [] ( p3 ) ) | <> ( ~ ( p1 ) & [] ( p5 ) ) | $false | <> ( ~ ( p2 ) & [] ( p1 ) ) | $false | <> ( ~ ( p3 ) & [] ( p3 ) ) | <> ( ~ ( p3 ) & [] ( p5 ) ) | $false | $false | $false | <> ( ~ ( p5 ) & [] ( p3 ) ) | <> ( ~ ( p5 ) & [] ( p5 ) ) | $false | $false | $false | <> ( <> ( ~ ( p1 ) & [] ( p1 ) ) ) | <> ( <> ( ~ ( p1 ) & [] ( p3 ) ) ) | <> ( <> ( ~ ( p1 ) & [] ( p6 ) ) ) | <> ( <> ( ~ ( p1 ) & [] ( p5 ) ) ) | $false | $false | <> ( ~ ( p4 ) & [] ( p2 ) ) | <> ( ~ ( p6 ) & [] ( p2 ) ) | <> ( <> ( ~ ( p3 ) & [] ( p1 ) ) ) | <> ( <> ( ~ ( p3 ) & [] ( p3 ) ) ) | <> ( <> ( ~ ( p3 ) & [] ( p5 ) ) ) | $false | $false | <> ( ~ ( p4 ) & [] ( p4 ) ) | <> ( ~ ( p6 ) & [] ( p4 ) ) | <> ( <> ( ~ ( p5 ) & [] ( p1 ) ) ) | <> ( <> ( ~ ( p5 ) & [] ( p3 ) ) ) | <> ( <> ( ~ ( p5 ) & [] ( p5 ) ) ) | $false | $false | <> ( ~ ( p4 ) & [] ( p6 ) ) | <> ( ~ ( p6 ) & [] ( p6 ) ) | <> ( <> ( <> ( ~ ( p1 ) & [] ( p1 ) ) ) ) | <> ( <> ( <> ( ~ ( p1 ) & [] ( p3 ) ) ) ) | $false | $false | <> ( <> ( ~ ( p2 ) & [] ( p2 ) ) ) | <> ( <> ( ~ ( p4 ) & [] ( p2 ) ) ) | <> ( <> ( ~ ( p6 ) & [] ( p2 ) ) ) | <> ( <> ( <> ( ~ ( p3 ) & [] ( p1 ) ) ) ) | <> ( <> ( <> ( ~ ( p3 ) & [] ( p3 ) ) ) ) | $false | $false | <> ( <> ( ~ ( p2 ) & [] ( p4 ) ) ) | <> ( <> ( ~ ( p4 ) & [] ( p4 ) ) ) | <> ( <> ( ~ ( p6 ) & [] ( p4 ) ) ) | <> ( <> ( <> ( ~ ( p5 ) & [] ( p1 ) ) ) ) | <> ( <> ( <> ( ~ ( p5 ) & [] ( p3 ) ) ) ) | $false | <> ( <> ( <> ( ~ ( p6 ) & [] ( p5 ) ) ) ) | <> ( <> ( ~ ( p2 ) & [] ( p6 ) ) ) | <> ( <> ( ~ ( p4 ) & [] ( p6 ) ) ) | <> ( <> ( ~ ( p6 ) & [] ( p6 ) ) ) | <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p1 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p3 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p5 ) ) ) ) ) | $false | $false | <> ( <> ( <> ( ~ ( p2 ) & [] ( p2 ) ) ) ) | <> ( <> ( <> ( ~ ( p4 ) & [] ( p2 ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p1 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p3 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p5 ) ) ) ) ) | $false | $false | <> ( <> ( <> ( ~ ( p2 ) & [] ( p4 ) ) ) ) | <> ( <> ( <> ( ~ ( p4 ) & [] ( p4 ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p1 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p3 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p4 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p5 ) ) ) ) ) | $false | $false | <> ( <> ( <> ( ~ ( p2 ) & [] ( p6 ) ) ) ) | <> ( <> ( <> ( ~ ( p4 ) & [] ( p6 ) ) ) ) | <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p3 ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p5 ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p2 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p2 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p2 ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p3 ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p5 ) ) ) ) ) ) | $false | <> ( <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p1 ) ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p4 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p4 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p4 ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p3 ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p5 ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p6 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p6 ) ) ) ) ) | <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p6 ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p1 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p3 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p4 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p5 ) ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p2 ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p2 ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p1 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p3 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p5 ) ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p4 ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p4 ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p1 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p3 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p5 ) ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p6 ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p6 ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p3 ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p5 ) ) ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p2 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p2 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p2 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p3 ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p5 ) ) ) ) ) ) ) ) | $false | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p1 ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p4 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p4 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p4 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p3 ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p5 ) ) ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p6 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p6 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p6 ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p1 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p3 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p4 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p5 ) ) ) ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p2 ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p2 ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p1 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p3 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p5 ) ) ) ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p4 ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p4 ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p1 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p3 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p5 ) ) ) ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p6 ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p6 ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p3 ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) & [] ( p5 ) ) ) ) ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p2 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p2 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p2 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p3 ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p3 ) & [] ( p5 ) ) ) ) ) ) ) ) ) ) | $false | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p1 ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p4 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p4 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p4 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p3 ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p5 ) & [] ( p5 ) ) ) ) ) ) ) ) ) ) | $false | $false | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p6 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p4 ) & [] ( p6 ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p6 ) ) ) ) ) ) ) ) ) | $false | $false | $false | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p2 ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p2 ) ) ) ) ) ) ) ) ) ) | $false | $false | $false | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p4 ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p4 ) ) ) ) ) ) ) ) ) ) | $false | $false | $false | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) & [] ( p6 ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) & [] ( p6 ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p2 ) ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p4 ) ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p1 ) ) ) ) ) ) ) ) ) ) ) | <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( <> ( ~ ( p6 ) ) ) ) ) ) ) ) ) ) ) ). % 0.36/0.59 end_of_list. % 0.36/0.59 ----------------- % 0.36/0.59 ksp -tstp -pproof -early_ple -mlple -ord -snf++ -unit -lhs_unit -fsub -bsub -limited_reuse_renaming -bnfsimp -maxproof 1 -populate_max_lit_positive -short -global2local -i /export/starexec/sandbox2/tmp/tmp.Bl6S6ixO2p/theBenchmark.ksp % 1.06/1.25 % 1.06/1.25 % SZS status Theorem % 1.06/1.25 % 1.06/1.25 ***************** % 1.06/1.25 FOUND PROOF 1 % 1.06/1.25 ***************** % 1.06/1.25 % SZS output start Refutation % 1.06/1.25 % 1.06/1.25 (1,1) [3,0]. true => _t0 [ SNF ] [ Modal Level Pure Literal Elimination, _t0 ] % 1.06/1.25 (1,1) [428,0]. true => _t32 | ~_t31 [ Axiom T ] [ Backward Subsumption, 2996 ] % 1.06/1.25 (1,1) [430,0]. true => _t33 | ~_t32 [ Axiom T ] [ Backward Subsumption, 3041 ] % 1.06/1.25 (1,1) [432,0]. true => _t34 | ~_t33 [ Axiom T ] [ Backward Subsumption, 3043 ] % 1.06/1.25 (1,1) [434,0]. true => _t35 | ~_t34 [ Axiom T ] [ Backward Subsumption, 3062 ] % 1.06/1.25 (1,1) [436,0]. true => _t36 | ~_t35 [ Axiom T ] [ Backward Subsumption, 3071 ] % 1.06/1.25 (1,1) [438,0]. true => _t37 | ~_t36 [ Axiom T ] [ Backward Subsumption, 3084 ] % 1.06/1.25 (1,1) [440,0]. true => _t38 | ~_t37 [ Axiom T ] [ Backward Subsumption, 3094 ] % 1.06/1.25 (1,1) [442,0]. true => _t39 | ~_t38 [ Axiom T ] [ Backward Subsumption, 3096 ] % 1.06/1.25 (1,1) [444,0]. true => _t40 | ~_t39 [ Axiom T ] [ Backward Subsumption, 3106 ] % 1.06/1.25 (1,1) [445,0]. _t40 => box 1 p1 [ Axiom T ] [ Backward Subsumption, 3111 ] % 1.06/1.25 (1,1) [447,0]. true => _t31 | ~_t0 [ SNF ] [ Backward Subsumption, 2727 ] % 1.06/1.25 (3,1) [556,0]. _t51 => ~box 1~ ~p1 [ Axiom T ] [ Backward Subsumption, 2865 ] % 1.06/1.25 (1,1) [2573,0]. true => _t51 | ~_t0 [ SNF ] [ Backward Subsumption, 2588 ] % 1.06/1.25 (1,1) [2588,0]. true => _t51 [ Unit Resolution, 3, 2573, _t0 ] [ Modal Level Pure Literal Elimination, _t51 ] % 1.06/1.25 (1,1) [2727,0]. true => _t31 [ Unit Resolution, 3, 447, _t0 ] [ Modal Level Pure Literal Elimination, _t31 ] % 1.06/1.25 (3,1) [2865,0]. true => ~box 1~ ~p1 [ LHS Unit Resolution, 2588, 556, _t51 ] [ SNF++, 5350, ~p1 ] % 1.06/1.25 (1,1) [2996,0]. true => _t32 [ Unit Resolution, 2727, 428, _t31 ] [ Modal Level Pure Literal Elimination, _t32 ] % 1.06/1.25 (1,1) [3041,0]. true => _t33 [ Unit Resolution, 2996, 430, _t32 ] [ Modal Level Pure Literal Elimination, _t33 ] % 1.06/1.25 (1,1) [3043,0]. true => _t34 [ Unit Resolution, 3041, 432, _t33 ] [ Modal Level Pure Literal Elimination, _t34 ] % 1.06/1.25 (1,1) [3062,0]. true => _t35 [ Unit Resolution, 3043, 434, _t34 ] [ Modal Level Pure Literal Elimination, _t35 ] % 1.06/1.25 (1,1) [3071,0]. true => _t36 [ Unit Resolution, 3062, 436, _t35 ] [ Modal Level Pure Literal Elimination, _t36 ] % 1.06/1.25 (1,1) [3084,0]. true => _t37 [ Unit Resolution, 3071, 438, _t36 ] [ Modal Level Pure Literal Elimination, _t37 ] % 1.06/1.25 (1,1) [3094,0]. true => _t38 [ Unit Resolution, 3084, 440, _t37 ] [ Modal Level Pure Literal Elimination, _t38 ] % 1.06/1.25 (1,1) [3096,0]. true => _t39 [ Unit Resolution, 3094, 442, _t38 ] [ Modal Level Pure Literal Elimination, _t39 ] % 1.06/1.25 (1,1) [3106,0]. true => _t40 [ Unit Resolution, 3096, 444, _t39 ] [ Modal Level Pure Literal Elimination, _t40 ] % 1.06/1.25 (1,1) [3111,0]. true => box 1 p1 [ LHS Unit Resolution, 3106, 445, _t40 ] [ SNF++, 4998, p1 ] % 1.06/1.25 (1,1) [4998,0]. true => box 1 _t258 [ SNF++, 3111 ] % 1.06/1.25 (3,1) [5350,0]. true => ~box 1~ _t259 [ SNF++, 2865 ] % 1.06/1.25 (3,1) [15066,0]. true => false [ GEN1, 4998, 5350, 6938, _t258, _t259 ] % 1.06/1.25 (1,1) [4999,1]. true => ~_t258 | p1 [ SNF++, 3111 ] % 1.06/1.25 (3,1) [5351,1]. true => ~_t259 | ~p1 [ SNF++, 2865 ] % 1.06/1.25 (3,1) [6938,1]. true => ~_t259 | ~_t258 [ LRES, 5351, 4999, ~p1 ] % 1.06/1.25 % SZS output end Refutation % 1.06/1.26 % KSP exiting %------------------------------------------------------------------------------