%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR044+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 : Wed Jun 3 08:11:27 AM UTC 2026 % Result : Theorem 0.19s 0.93s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.25 % Problem : CSR044+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.26 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.55 % Computer : n018.cluster.edu % 0.15/0.55 % Model : x86_64 x86_64 % 0.15/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.55 % Memory : 8042.1875MB % 0.15/0.55 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.55 % CPULimit : 300 % 0.15/0.55 % WCLimit : 300 % 0.15/0.55 % DateTime : Mon Jun 1 20:48:36 EDT 2026 % 0.15/0.55 % CPUTime : % 0.19/0.83 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.93 % SZS status Theorem % 0.19/0.93 % SZS output start Proof % 0.19/0.93 ( % 0.19/0.93 (declare-sort $$unsorted 0) % 0.19/0.93 (declare-const tptp.positiveinteger (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.n_2 $$unsorted) % 0.19/0.93 (declare-const tptp.natargument (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.natfunction (-> $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.microtheory (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.c_transitivebinarypredicate $$unsorted) % 0.19/0.93 (declare-const tptp.tptpcol_5_28674 (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.tptpcol_16_29490 (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.genls (-> $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.function_denotational (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.c_basekb $$unsorted) % 0.19/0.93 (declare-const tptp.transitivebinarypredicate (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.thing (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.c_genlmt $$unsorted) % 0.19/0.93 (declare-const tptp.genlmt (-> $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.c_calendarsmt $$unsorted) % 0.19/0.93 (declare-const tptp.predicate (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.resultisaarg (-> $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.c_universalvocabularymt $$unsorted) % 0.19/0.93 (declare-const tptp.n_3 $$unsorted) % 0.19/0.93 (declare-const tptp.c_relationallexistsfn $$unsorted) % 0.19/0.93 (declare-const tptp.c_tptp_member3633_mt $$unsorted) % 0.19/0.93 (declare-const tptp.n_4 $$unsorted) % 0.19/0.93 (declare-const tptp.c_tptp_spindleheadmt $$unsorted) % 0.19/0.93 (declare-const tptp.c_calendarsvocabularymt $$unsorted) % 0.19/0.93 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.mtvisible (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.genlinverse (-> $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.c_cyclistsmt $$unsorted) % 0.19/0.93 (declare-const tptp.f_relationallexistsfn (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.19/0.93 (declare-const tptp.c_tptpcol_16_29490 $$unsorted) % 0.19/0.93 (declare-const tptp.c_executionbyfiringsquad $$unsorted) % 0.19/0.93 (declare-const tptp.relationallexists (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.c_tptp_9_720 $$unsorted) % 0.19/0.93 (declare-const tptp.tptp_9_720 (-> $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.collection (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.executionbyfiringsquad (-> $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.n_1 $$unsorted) % 0.19/0.93 (declare-const tptp.genlpreds (-> $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.c_tptpexecutionbyfiringsquad_90 $$unsorted) % 0.19/0.93 (declare-const tptp.disjointwith (-> $$unsorted $$unsorted Bool)) % 0.19/0.93 (declare-const tptp.binarypredicate (-> $$unsorted Bool)) % 0.19/0.93 (define @t1 () (@var "DEPCOL" $$unsorted)) % 0.19/0.93 (define @t2 () (@var "INDEPCOL" $$unsorted)) % 0.19/0.93 (define @t3 () (@var "PRED" $$unsorted)) % 0.19/0.93 (define @t4 () (@var "TERM" $$unsorted)) % 0.19/0.93 (define @t5 () (tptp.isa (tptp.f_relationallexistsfn @t4 @t3 @t2 @t1) @t1)) % 0.19/0.93 (define @t6 () (tptp.relationallexists @t3 @t2 @t1)) % 0.19/0.93 (define @t7 () (tptp.isa @t4 @t2)) % 0.19/0.93 (define @t8 () (and @t7 @t6)) % 0.19/0.93 (define @t9 () (forall (@list @t4 @t2 @t3 @t1) (=> @t8 @t5))) % 0.19/0.93 (define @t10 () (tptp.genlmt tptp.c_tptp_spindleheadmt tptp.c_cyclistsmt)) % 0.19/0.93 (define @t11 () (tptp.genlmt tptp.c_tptp_member3633_mt tptp.c_tptp_spindleheadmt)) % 0.19/0.93 (define @t12 () (tptp.tptp_9_720 @t4 (tptp.f_relationallexistsfn @t4 tptp.c_tptp_9_720 tptp.c_executionbyfiringsquad tptp.c_tptpcol_16_29490))) % 0.19/0.93 (define @t13 () (tptp.executionbyfiringsquad @t4)) % 0.19/0.93 (define @t14 () (tptp.mtvisible tptp.c_cyclistsmt)) % 0.19/0.93 (define @t15 () (and @t14 @t13)) % 0.19/0.93 (define @t16 () (@list @t4)) % 0.19/0.93 (define @t17 () (forall @t16 (=> @t15 @t12))) % 0.19/0.93 (define @t18 () (tptp.relationallexists tptp.c_tptp_9_720 tptp.c_executionbyfiringsquad tptp.c_tptpcol_16_29490)) % 0.19/0.93 (define @t19 () (tptp.executionbyfiringsquad tptp.c_tptpexecutionbyfiringsquad_90)) % 0.19/0.93 (define @t20 () (@var "COL2" $$unsorted)) % 0.19/0.93 (define @t21 () (@var "COL1" $$unsorted)) % 0.19/0.93 (define @t22 () (@var "OBJ" $$unsorted)) % 0.19/0.93 (define @t23 () (@var "GENLPRED" $$unsorted)) % 0.19/0.93 (define @t24 () (@var "SPECPRED" $$unsorted)) % 0.19/0.93 (define @t25 () (@var "INS" $$unsorted)) % 0.19/0.93 (define @t26 () (tptp.predicate @t25)) % 0.19/0.93 (define @t27 () (@var "ARG1" $$unsorted)) % 0.19/0.93 (define @t28 () (@list @t27 @t25)) % 0.19/0.93 (define @t29 () (@var "ARG2" $$unsorted)) % 0.19/0.93 (define @t30 () (@list @t25 @t29)) % 0.19/0.93 (define @t31 () (@var "Z" $$unsorted)) % 0.19/0.93 (define @t32 () (@var "X" $$unsorted)) % 0.19/0.93 (define @t33 () (@var "Y" $$unsorted)) % 0.19/0.93 (define @t34 () (@list @t32 @t33 @t31)) % 0.19/0.93 (define @t35 () (@list @t32)) % 0.19/0.93 (define @t36 () (tptp.binarypredicate @t25)) % 0.19/0.93 (define @t37 () (@var "NEW" $$unsorted)) % 0.19/0.93 (define @t38 () (@var "OLD" $$unsorted)) % 0.19/0.93 (define @t39 () (@list @t38 @t29 @t37)) % 0.19/0.93 (define @t40 () (@list @t27 @t38 @t37)) % 0.19/0.93 (define @t41 () (tptp.collection @t25)) % 0.19/0.93 (define @t42 () (tptp.genls @t37 @t38)) % 0.19/0.93 (define @t43 () (tptp.tptpcol_16_29490 @t32)) % 0.19/0.93 (define @t44 () (tptp.isa @t32 tptp.c_tptpcol_16_29490)) % 0.19/0.93 (define @t45 () (forall @t35 (=> @t44 @t43))) % 0.19/0.93 (define @t46 () (tptp.executionbyfiringsquad @t32)) % 0.19/0.93 (define @t47 () (tptp.isa @t32 tptp.c_executionbyfiringsquad)) % 0.19/0.93 (define @t48 () (forall @t35 (=> @t46 @t47))) % 0.19/0.93 (define @t49 () (@var "ARG3" $$unsorted)) % 0.19/0.93 (define @t50 () (tptp.transitivebinarypredicate @t32)) % 0.19/0.93 (define @t51 () (tptp.isa @t32 tptp.c_transitivebinarypredicate)) % 0.19/0.93 (define @t52 () (@var "GENLMT" $$unsorted)) % 0.19/0.93 (define @t53 () (tptp.mtvisible @t52)) % 0.19/0.93 (define @t54 () (@var "SPECMT" $$unsorted)) % 0.19/0.93 (define @t55 () (tptp.genlmt @t54 @t52)) % 0.19/0.93 (define @t56 () (tptp.mtvisible @t54)) % 0.19/0.93 (define @t57 () (and @t56 @t55)) % 0.19/0.93 (define @t58 () (forall (@list @t54 @t52) (=> @t57 @t53))) % 0.19/0.93 (define @t59 () (tptp.microtheory @t25)) % 0.19/0.93 (define @t60 () (@var "ARG4" $$unsorted)) % 0.19/0.93 (define @t61 () (tptp.f_relationallexistsfn @t27 @t29 @t49 @t60)) % 0.19/0.93 (define @t62 () (@list @t27 @t29 @t49 @t60)) % 0.19/0.93 (define @t63 () (tptp.tptp_9_720 tptp.c_tptpexecutionbyfiringsquad_90 @t32)) % 0.19/0.93 (define @t64 () (and @t63 @t43)) % 0.19/0.93 (define @t65 () (tptp.mtvisible tptp.c_tptp_member3633_mt)) % 0.19/0.93 (define @t66 () (=> @t65 @t64)) % 0.19/0.93 (define @t67 () (exists @t35 @t66)) % 0.19/0.93 (define @t68 () (not @t67)) % 0.19/0.93 (define @t69 () (not @t6)) % 0.19/0.93 (define @t70 () (not @t7)) % 0.19/0.93 (define @t71 () (@list tptp.c_tptpexecutionbyfiringsquad_90)) % 0.19/0.93 (define @t72 () (tptp.isa tptp.c_tptpexecutionbyfiringsquad_90 tptp.c_executionbyfiringsquad)) % 0.19/0.93 (define @t73 () (not @t19)) % 0.19/0.93 (define @t74 () (or @t73 @t72)) % 0.19/0.93 (define @t75 () (@list false false)) % 0.19/0.93 (define @t76 () (not @t55)) % 0.19/0.93 (define @t77 () (not @t56)) % 0.19/0.93 (define @t78 () (@var "BOUND_VARIABLE_7882" $$unsorted)) % 0.19/0.93 (define @t79 () (or (not @t63) (not @t43))) % 0.19/0.93 (define @t80 () (forall @t35 @t79)) % 0.19/0.93 (define @t81 () (forall @t35 @t65)) % 0.19/0.93 (define @t82 () (and @t81 @t80)) % 0.19/0.93 (define @t83 () (forall @t35 (not @t66))) % 0.19/0.93 (define @t84 () (not @t83)) % 0.19/0.93 (define @t85 () (tptp.mtvisible tptp.c_tptp_spindleheadmt)) % 0.19/0.93 (define @t86 () (not @t11)) % 0.19/0.93 (define @t87 () (not @t65)) % 0.19/0.93 (define @t88 () (or @t87 @t86 @t85)) % 0.19/0.93 (define @t89 () (@list false false false)) % 0.19/0.93 (define @t90 () (not @t10)) % 0.19/0.93 (define @t91 () (not @t85)) % 0.19/0.93 (define @t92 () (or @t91 @t90 @t14)) % 0.19/0.93 (define @t93 () (not @t14)) % 0.19/0.93 (define @t94 () (@list false)) % 0.19/0.93 (define @t95 () (@list @t14)) % 0.19/0.93 (define @t96 () (tptp.f_relationallexistsfn tptp.c_tptpexecutionbyfiringsquad_90 tptp.c_tptp_9_720 tptp.c_executionbyfiringsquad tptp.c_tptpcol_16_29490)) % 0.19/0.93 (define @t97 () (tptp.isa @t96 tptp.c_tptpcol_16_29490)) % 0.19/0.93 (define @t98 () (not @t18)) % 0.19/0.93 (define @t99 () (not @t72)) % 0.19/0.93 (define @t100 () (or @t99 @t98 @t97)) % 0.19/0.94 (define @t101 () (@list @t96)) % 0.19/0.94 (define @t102 () (not @t13)) % 0.19/0.94 (define @t103 () (or @t102 @t12)) % 0.19/0.94 (define @t104 () (forall @t16 @t103)) % 0.19/0.94 (define @t105 () (or @t93 @t103)) % 0.19/0.94 (define @t106 () (or @t93 @t102 @t12)) % 0.19/0.94 (define @t107 () (tptp.tptp_9_720 tptp.c_tptpexecutionbyfiringsquad_90 @t96)) % 0.19/0.94 (define @t108 () (or @t73 @t107)) % 0.19/0.94 (define @t109 () (tptp.tptpcol_16_29490 @t96)) % 0.19/0.94 (define @t110 () (not @t109)) % 0.19/0.94 (define @t111 () (not @t107)) % 0.19/0.94 (define @t112 () (or @t111 @t110)) % 0.19/0.94 (define @t113 () (not @t97)) % 0.19/0.94 (define @t114 () (or @t113 @t109)) % 0.19/0.94 (define @t115 () (not @t114)) % 0.19/0.94 (define @t116 () (@list true false)) % 0.19/0.94 (define @t117 () (forall @t35 (or (not @t44) @t43))) % 0.19/0.94 (assume @p1 @t9) % 0.19/0.94 (assume @p2 (tptp.resultisaarg tptp.c_relationallexistsfn tptp.n_4)) % 0.19/0.94 (assume @p3 (tptp.genlmt tptp.c_calendarsmt tptp.c_calendarsvocabularymt)) % 0.19/0.94 (assume @p4 (tptp.transitivebinarypredicate tptp.c_genlmt)) % 0.19/0.94 (assume @p5 (tptp.genlmt tptp.c_basekb tptp.c_universalvocabularymt)) % 0.19/0.94 (assume @p6 (tptp.genlmt tptp.c_cyclistsmt tptp.c_calendarsmt)) % 0.19/0.94 (assume @p7 (tptp.genlmt tptp.c_calendarsvocabularymt tptp.c_basekb)) % 0.19/0.94 (assume @p8 @t10) % 0.19/0.94 (assume @p9 @t11) % 0.19/0.94 (assume @p10 @t17) % 0.19/0.94 (assume @p11 (=> @t14 @t18)) % 0.19/0.94 (assume @p12 @t19) % 0.19/0.94 (assume @p13 (forall (@list @t22 @t21 @t20) (not (and (tptp.isa @t22 @t21) (tptp.isa @t22 @t20) (tptp.disjointwith @t21 @t20))))) % 0.19/0.94 (assume @p14 (forall (@list @t24 @t3 @t23) (=> (and (tptp.genlinverse @t24 @t3) (tptp.genlinverse @t3 @t23)) (tptp.genlpreds @t24 @t23)))) % 0.19/0.94 (assume @p15 (forall @t28 (=> (tptp.genlpreds @t27 @t25) @t26))) % 0.19/0.94 (assume @p16 (forall @t30 (=> (tptp.genlpreds @t25 @t29) @t26))) % 0.19/0.94 (assume @p17 (forall @t34 (=> (and (tptp.genlpreds @t32 @t33) (tptp.genlpreds @t33 @t31)) (tptp.genlpreds @t32 @t31)))) % 0.19/0.94 (assume @p18 (forall @t35 (=> (tptp.predicate @t32) (tptp.genlpreds @t32 @t32)))) % 0.19/0.94 (assume @p19 (forall @t28 (=> (tptp.genlinverse @t27 @t25) @t36))) % 0.19/0.94 (assume @p20 (forall @t30 (=> (tptp.genlinverse @t25 @t29) @t36))) % 0.19/0.94 (assume @p21 (forall @t39 (=> (and (tptp.genlinverse @t38 @t29) (tptp.genlpreds @t37 @t38)) (tptp.genlinverse @t37 @t29)))) % 0.19/0.94 (assume @p22 (forall @t40 (=> (and (tptp.genlinverse @t27 @t38) (tptp.genlpreds @t38 @t37)) (tptp.genlinverse @t27 @t37)))) % 0.19/0.94 (assume @p23 (forall @t28 (=> (tptp.disjointwith @t27 @t25) @t41))) % 0.19/0.94 (assume @p24 (forall @t30 (=> (tptp.disjointwith @t25 @t29) @t41))) % 0.19/0.94 (assume @p25 (forall (@list @t32 @t33) (=> (tptp.disjointwith @t32 @t33) (tptp.disjointwith @t33 @t32)))) % 0.19/0.94 (assume @p26 (forall @t40 (=> (and (tptp.disjointwith @t27 @t38) @t42) (tptp.disjointwith @t27 @t37)))) % 0.19/0.94 (assume @p27 (forall @t39 (=> (and (tptp.disjointwith @t38 @t29) @t42) (tptp.disjointwith @t37 @t29)))) % 0.19/0.94 (assume @p28 @t45) % 0.19/0.94 (assume @p29 (forall @t35 (=> @t43 @t44))) % 0.19/0.94 (assume @p30 (forall @t35 (=> @t47 @t46))) % 0.19/0.94 (assume @p31 @t48) % 0.19/0.94 (assume @p32 (forall @t28 (=> (tptp.tptp_9_720 @t27 @t25) (tptp.tptpcol_5_28674 @t25)))) % 0.19/0.94 (assume @p33 (forall @t30 (=> (tptp.tptp_9_720 @t25 @t29) (tptp.executionbyfiringsquad @t25)))) % 0.19/0.94 (assume @p34 (forall (@list @t27 @t29 @t25) (=> (tptp.relationallexists @t27 @t29 @t25) @t41))) % 0.19/0.94 (assume @p35 (forall (@list @t27 @t25 @t49) (=> (tptp.relationallexists @t27 @t25 @t49) @t41))) % 0.19/0.94 (assume @p36 (forall (@list @t25 @t29 @t49) (=> (tptp.relationallexists @t25 @t29 @t49) @t36))) % 0.19/0.94 (assume @p37 (tptp.mtvisible tptp.c_basekb)) % 0.19/0.94 (assume @p38 (forall @t35 (=> @t51 @t50))) % 0.19/0.94 (assume @p39 (forall @t35 (=> @t50 @t51))) % 0.19/0.94 (assume @p40 (forall @t28 (=> (tptp.isa @t27 @t25) @t41))) % 0.19/0.94 (assume @p41 (forall @t30 (=> (tptp.isa @t25 @t29) (tptp.thing @t25)))) % 0.19/0.94 (assume @p42 (forall @t40 (=> (and (tptp.isa @t27 @t38) (tptp.genls @t38 @t37)) (tptp.isa @t27 @t37)))) % 0.19/0.94 (assume @p43 @t58) % 0.19/0.94 (assume @p44 (forall @t28 (=> (tptp.genlmt @t27 @t25) @t59))) % 0.19/0.94 (assume @p45 (forall @t30 (=> (tptp.genlmt @t25 @t29) @t59))) % 0.19/0.94 (assume @p46 (forall @t34 (=> (and (tptp.genlmt @t32 @t33) (tptp.genlmt @t33 @t31)) (tptp.genlmt @t32 @t31)))) % 0.19/0.94 (assume @p47 (forall @t35 (=> (tptp.microtheory @t32) (tptp.genlmt @t32 @t32)))) % 0.19/0.94 (assume @p48 (forall @t62 (tptp.natfunction @t61 tptp.c_relationallexistsfn))) % 0.19/0.94 (assume @p49 (forall @t62 (tptp.natargument @t61 tptp.n_1 @t27))) % 0.19/0.94 (assume @p50 (forall @t62 (tptp.natargument @t61 tptp.n_2 @t29))) % 0.19/0.94 (assume @p51 (forall @t62 (tptp.natargument @t61 tptp.n_3 @t49))) % 0.19/0.94 (assume @p52 (forall @t62 (tptp.natargument @t61 tptp.n_4 @t60))) % 0.19/0.94 (assume @p53 (forall @t62 (tptp.thing @t61))) % 0.19/0.94 (assume @p54 (forall @t28 (=> (tptp.resultisaarg @t27 @t25) (tptp.positiveinteger @t25)))) % 0.19/0.94 (assume @p55 (forall @t30 (=> (tptp.resultisaarg @t25 @t29) (tptp.function_denotational @t25)))) % 0.19/0.94 (assume @p56 (tptp.mtvisible tptp.c_universalvocabularymt)) % 0.19/0.94 (assume @p57 @t68) % 0.19/0.94 (assume @p58 true) % 0.19/0.94 (step @p59 :rule bool-impl-elim :args (@t44 @t43)) % 0.19/0.94 (step @p60 :rule cong :premises (@p59) :args (@t45)) % 0.19/0.94 (step @p61 :rule eq_resolve :premises (@p28 @p60)) % 0.19/0.94 (step @p62 :rule aci_norm :args ((= (or (or @t70 @t69) @t5) (or @t70 @t69 @t5)))) % 0.19/0.94 (step @p63 :rule refl :args (@t5)) % 0.19/0.94 (step @p64 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.19/0.94 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t8) @t5))) % 0.19/0.94 (step @p66 :rule trans :premises (@p65 @p62)) % 0.19/0.94 (step @p67 :rule bool-impl-elim :args (@t8 @t5)) % 0.19/0.94 (step @p68 :rule trans :premises (@p67 @p66)) % 0.19/0.94 (step @p69 :rule cong :premises (@p68) :args (@t9)) % 0.19/0.94 (step @p70 :rule eq_resolve :premises (@p1 @p69)) % 0.19/0.94 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.c_tptpexecutionbyfiringsquad_90 tptp.c_executionbyfiringsquad tptp.c_tptp_9_720 tptp.c_tptpcol_16_29490))) % 0.19/0.94 (step @p72 :rule bool-impl-elim :args (@t46 @t47)) % 0.19/0.94 (step @p73 :rule cong :premises (@p72) :args (@t48)) % 0.19/0.94 (step @p74 :rule eq_resolve :premises (@p31 @p73)) % 0.19/0.94 (step @p75 :rule instantiate :premises (@p74) :args (@t71)) % 0.19/0.94 (step @p76 :rule cnf_or_pos :args (@t74)) % 0.19/0.94 (step @p77 :rule reordering :premises (@p76) :args ((or @t73 @t72 (not @t74)))) % 0.19/0.94 (step @p78 :rule chain_m_resolution :premises (@p77 @p12 @p75) :args (@t72 @t75 (@list @t19 @t74))) % 0.19/0.94 (step @p79 :rule aci_norm :args ((= (or (or @t77 @t76) @t53) (or @t77 @t76 @t53)))) % 0.19/0.94 (step @p80 :rule refl :args (@t53)) % 0.19/0.94 (step @p81 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 0.19/0.94 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t57) @t53))) % 0.19/0.94 (step @p83 :rule trans :premises (@p82 @p79)) % 0.19/0.94 (step @p84 :rule bool-impl-elim :args (@t57 @t53)) % 0.19/0.94 (step @p85 :rule trans :premises (@p84 @p83)) % 0.19/0.94 (step @p86 :rule cong :premises (@p85) :args (@t58)) % 0.19/0.94 (step @p87 :rule eq_resolve :premises (@p43 @p86)) % 0.19/0.94 (step @p88 :rule instantiate :premises (@p87) :args ((@list tptp.c_tptp_spindleheadmt tptp.c_cyclistsmt))) % 0.19/0.94 (step @p89 :rule instantiate :premises (@p87) :args ((@list tptp.c_tptp_member3633_mt tptp.c_tptp_spindleheadmt))) % 0.19/0.94 (step @p90 :rule bool-double-not-elim :args ((and @t65 (forall (@list @t78) (or (not (tptp.tptp_9_720 tptp.c_tptpexecutionbyfiringsquad_90 @t78)) (not (tptp.tptpcol_16_29490 @t78))))))) % 0.19/0.94 (step @p91 :rule alpha_equiv :args (@t80 (@list @t32) (@list @t78))) % 0.19/0.94 (step @p92 :rule quant-unused-vars :args ((= @t81 @t65))) % 0.19/0.94 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t82)) % 0.19/0.94 (step @p94 :rule quant-miniscope-and :args ((= (forall @t35 (and @t65 @t79)) @t82))) % 0.19/0.94 (step @p95 :rule trans :premises (@p94 @p93)) % 0.19/0.94 (step @p96 :rule bool-and-de-morgan :args (@t63 @t43 true)) % 0.19/0.94 (step @p97 :rule refl :args (@t65)) % 0.19/0.94 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((and @t65 (not @t64)))) % 0.19/0.94 (step @p99 :rule bool-implies-de-morgan :args (@t65 @t64)) % 0.19/0.94 (step @p100 :rule trans :premises (@p99 @p98)) % 0.19/0.94 (step @p101 :rule cong :premises (@p100) :args (@t83)) % 0.19/0.94 (step @p102 :rule trans :premises (@p101 @p95)) % 0.19/0.94 (step @p103 :rule cong :premises (@p102) :args (@t84)) % 0.19/0.94 (step @p104 :rule exists-elim :args ((= @t67 @t84))) % 0.19/0.94 (step @p105 :rule trans :premises (@p104 @p103)) % 0.19/0.94 (step @p106 :rule cong :premises (@p105) :args (@t68)) % 0.19/0.94 (step @p107 :rule trans :premises (@p106 @p90)) % 0.19/0.94 (step @p108 :rule eq_resolve :premises (@p57 @p107)) % 0.19/0.94 (step @p109 :rule and_elim :premises (@p108) :args (0)) % 0.19/0.94 (step @p110 :rule cnf_or_pos :args (@t88)) % 0.19/0.94 (step @p111 :rule reordering :premises (@p110) :args ((or @t86 @t87 @t85 (not @t88)))) % 0.19/0.94 (step @p112 :rule chain_m_resolution :premises (@p111 @p9 @p109 @p89) :args (@t85 @t89 (@list @t11 @t65 @t88))) % 0.19/0.94 (step @p113 :rule cnf_or_pos :args (@t92)) % 0.19/0.94 (step @p114 :rule reordering :premises (@p113) :args ((or @t14 @t90 @t91 (not @t92)))) % 0.19/0.94 (step @p115 :rule chain_m_resolution :premises (@p114 @p8 @p112 @p88) :args (@t14 @t89 (@list @t10 @t85 @t92))) % 0.19/0.94 (step @p116 :rule implies_elim :premises (@p11)) % 0.19/0.94 (step @p117 :rule reordering :premises (@p116) :args ((or @t18 @t93))) % 0.19/0.94 (step @p118 :rule chain_m_resolution :premises (@p117 @p115) :args (@t18 @t94 @t95)) % 0.19/0.94 (step @p119 :rule cnf_or_pos :args (@t100)) % 0.19/0.94 (step @p120 :rule reordering :premises (@p119) :args ((or @t98 @t99 @t97 (not @t100)))) % 0.19/0.94 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p78 @p71) :args (@t97 @t89 (@list @t18 @t72 @t100))) % 0.19/0.94 (step @p122 :rule and_elim :premises (@p108) :args (1)) % 0.19/0.94 (step @p123 :rule instantiate :premises (@p122) :args (@t101)) % 0.19/0.94 (step @p124 :rule quant-miniscope-or :args ((= (forall @t16 @t105) (or @t93 @t104)))) % 0.19/0.94 (step @p125 :rule aci_norm :args ((= @t106 @t105))) % 0.19/0.94 (step @p126 :rule cong :premises (@p125) :args ((forall @t16 @t106))) % 0.19/0.94 (step @p127 :rule trans :premises (@p126 @p124)) % 0.19/0.94 (step @p128 :rule aci_norm :args ((= (or (or @t93 @t102) @t12) @t106))) % 0.19/0.94 (step @p129 :rule refl :args (@t12)) % 0.19/0.94 (step @p130 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.19/0.94 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t15) @t12))) % 0.19/0.94 (step @p132 :rule trans :premises (@p131 @p128)) % 0.19/0.94 (step @p133 :rule bool-impl-elim :args (@t15 @t12)) % 0.19/0.94 (step @p134 :rule trans :premises (@p133 @p132)) % 0.19/0.94 (step @p135 :rule cong :premises (@p134) :args (@t17)) % 0.19/0.94 (step @p136 :rule trans :premises (@p135 @p127)) % 0.19/0.94 (step @p137 :rule eq_resolve :premises (@p10 @p136)) % 0.19/0.94 (step @p138 :rule chain_m_resolution :premises (@p137 @p115) :args (@t104 @t94 @t95)) % 0.19/0.94 (step @p139 :rule instantiate :premises (@p138) :args (@t71)) % 0.19/0.94 (step @p140 :rule cnf_or_pos :args (@t108)) % 0.19/0.94 (step @p141 :rule reordering :premises (@p140) :args ((or @t73 @t107 (not @t108)))) % 0.19/0.94 (step @p142 :rule chain_m_resolution :premises (@p141 @p12 @p139) :args (@t107 @t75 (@list @t19 @t108))) % 0.19/0.94 (step @p143 :rule cnf_or_pos :args (@t112)) % 0.19/0.94 (step @p144 :rule reordering :premises (@p143) :args ((or @t111 @t110 (not @t112)))) % 0.19/0.94 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p123) :args (@t110 @t75 (@list @t107 @t112))) % 0.19/0.94 (step @p146 :rule cnf_or_pos :args (@t114)) % 0.19/0.94 (step @p147 :rule reordering :premises (@p146) :args ((or @t109 @t113 @t115))) % 0.19/0.94 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p121) :args (@t115 @t116 (@list @t109 @t97))) % 0.19/0.94 (assume-push @p155 @t117) % 0.19/0.94 (step @p150 :rule instantiate :premises (@p61) :args (@t101)) % 0.19/0.94 (step-pop @p156 :rule scope :premises (@p150)) % 0.19/0.94 (step @p151 :rule process_scope :premises (@p156) :args (@t114)) % 0.19/0.94 (step @p153 :rule implies_elim :premises (@p151)) % 0.19/0.94 (step @p154 false :rule chain_m_resolution :premises (@p153 @p148 @p61) :args (false @t116 (@list @t114 @t117))) % 0.19/0.94 ) % 0.19/0.94 % SZS output end Proof % 0.19/0.94 % cvc5 exiting %------------------------------------------------------------------------------