%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR030+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 08:11:17 AM UTC 2026 % Result : Theorem 0.33s 0.63s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : CSR030+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.37 % Computer : n018.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 300 % 0.15/0.37 % DateTime : Mon Jun 1 20:38:40 EDT 2026 % 0.15/0.37 % CPUTime : % 0.25/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.63 % SZS status Theorem % 0.33/0.63 % SZS output start Proof % 0.33/0.63 ( % 0.33/0.63 (declare-sort $$unsorted 0) % 0.33/0.63 (declare-const tptp.c_transitivebinarypredicate $$unsorted) % 0.33/0.63 (declare-const tptp.genlpreds (-> $$unsorted $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.c_tptptypes_6_388 $$unsorted) % 0.33/0.63 (declare-const tptp.c_tptptypes_5_387 $$unsorted) % 0.33/0.63 (declare-const tptp.tptpcol_16_4451 (-> $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.thing (-> $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.c_cyclistsmt $$unsorted) % 0.33/0.63 (declare-const tptp.c_tptp_member3393_mt $$unsorted) % 0.33/0.63 (declare-const tptp.binarypredicate (-> $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.c_genlmt $$unsorted) % 0.33/0.63 (declare-const tptp.c_basekb $$unsorted) % 0.33/0.63 (declare-const tptp.tptptypes_6_388 (-> $$unsorted $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.disjointwith (-> $$unsorted $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.predicate (-> $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.c_calendarsmt $$unsorted) % 0.33/0.63 (declare-const tptp.transitivebinarypredicate (-> $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.tptptypes_5_387 (-> $$unsorted $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.mtvisible (-> $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.c_calendarsvocabularymt $$unsorted) % 0.33/0.63 (declare-const tptp.c_tptp_spindleheadmt $$unsorted) % 0.33/0.63 (declare-const tptp.c_tptptypes_7_389 $$unsorted) % 0.33/0.63 (declare-const tptp.genls (-> $$unsorted $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.genlinverse (-> $$unsorted $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.microtheory (-> $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.tptptypes_7_389 (-> $$unsorted $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.genlmt (-> $$unsorted $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.c_tptpcol_16_4451 $$unsorted) % 0.33/0.63 (declare-const tptp.c_pushingwithopenhand $$unsorted) % 0.33/0.63 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.c_universalvocabularymt $$unsorted) % 0.33/0.63 (declare-const tptp.collection (-> $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.pushingwithopenhand (-> $$unsorted Bool)) % 0.33/0.63 (declare-const tptp.firstordercollection (-> $$unsorted Bool)) % 0.33/0.63 (define @t1 () (@var "ARG2" $$unsorted)) % 0.33/0.63 (define @t2 () (@var "ARG1" $$unsorted)) % 0.33/0.63 (define @t3 () (tptp.tptptypes_5_387 @t2 @t1)) % 0.33/0.63 (define @t4 () (tptp.tptptypes_6_388 @t2 @t1)) % 0.33/0.63 (define @t5 () (@list @t2 @t1)) % 0.33/0.63 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.33/0.63 (define @t7 () (tptp.tptptypes_6_388 @t1 @t2)) % 0.33/0.63 (define @t8 () (tptp.tptptypes_7_389 @t2 @t1)) % 0.33/0.63 (define @t9 () (forall @t5 (=> @t8 @t7))) % 0.33/0.63 (define @t10 () (tptp.genlmt tptp.c_tptp_member3393_mt tptp.c_tptp_spindleheadmt)) % 0.33/0.63 (define @t11 () (tptp.tptptypes_7_389 tptp.c_pushingwithopenhand tptp.c_tptpcol_16_4451)) % 0.33/0.63 (define @t12 () (tptp.mtvisible tptp.c_tptp_spindleheadmt)) % 0.33/0.63 (define @t13 () (@var "COL2" $$unsorted)) % 0.33/0.63 (define @t14 () (@var "COL1" $$unsorted)) % 0.33/0.63 (define @t15 () (@var "OBJ" $$unsorted)) % 0.33/0.63 (define @t16 () (@var "GENLPRED" $$unsorted)) % 0.33/0.63 (define @t17 () (@var "SPECPRED" $$unsorted)) % 0.33/0.63 (define @t18 () (@var "PRED" $$unsorted)) % 0.33/0.63 (define @t19 () (@var "INS" $$unsorted)) % 0.33/0.63 (define @t20 () (tptp.collection @t19)) % 0.33/0.63 (define @t21 () (@list @t2 @t19)) % 0.33/0.63 (define @t22 () (@list @t19 @t1)) % 0.33/0.63 (define @t23 () (@var "X" $$unsorted)) % 0.33/0.63 (define @t24 () (@var "Y" $$unsorted)) % 0.33/0.63 (define @t25 () (@var "NEW" $$unsorted)) % 0.33/0.63 (define @t26 () (@var "OLD" $$unsorted)) % 0.33/0.63 (define @t27 () (tptp.genls @t25 @t26)) % 0.33/0.63 (define @t28 () (@list @t2 @t26 @t25)) % 0.33/0.63 (define @t29 () (@list @t26 @t1 @t25)) % 0.33/0.63 (define @t30 () (tptp.tptpcol_16_4451 @t23)) % 0.33/0.63 (define @t31 () (tptp.isa @t23 tptp.c_tptpcol_16_4451)) % 0.33/0.63 (define @t32 () (@list @t23)) % 0.33/0.63 (define @t33 () (tptp.pushingwithopenhand @t23)) % 0.33/0.63 (define @t34 () (tptp.isa @t23 tptp.c_pushingwithopenhand)) % 0.33/0.63 (define @t35 () (tptp.firstordercollection @t19)) % 0.33/0.63 (define @t36 () (tptp.binarypredicate @t19)) % 0.33/0.63 (define @t37 () (tptp.predicate @t19)) % 0.33/0.63 (define @t38 () (@var "Z" $$unsorted)) % 0.33/0.63 (define @t39 () (@list @t23 @t24 @t38)) % 0.33/0.63 (define @t40 () (tptp.transitivebinarypredicate @t23)) % 0.33/0.63 (define @t41 () (tptp.isa @t23 tptp.c_transitivebinarypredicate)) % 0.33/0.63 (define @t42 () (@var "GENLMT" $$unsorted)) % 0.33/0.63 (define @t43 () (tptp.mtvisible @t42)) % 0.33/0.63 (define @t44 () (@var "SPECMT" $$unsorted)) % 0.33/0.63 (define @t45 () (tptp.genlmt @t44 @t42)) % 0.33/0.63 (define @t46 () (tptp.mtvisible @t44)) % 0.33/0.63 (define @t47 () (and @t46 @t45)) % 0.33/0.63 (define @t48 () (forall (@list @t44 @t42) (=> @t47 @t43))) % 0.33/0.63 (define @t49 () (tptp.microtheory @t19)) % 0.33/0.63 (define @t50 () (tptp.tptptypes_5_387 @t1 tptp.c_pushingwithopenhand)) % 0.33/0.63 (define @t51 () (tptp.mtvisible tptp.c_tptp_member3393_mt)) % 0.33/0.63 (define @t52 () (=> @t51 @t50)) % 0.33/0.63 (define @t53 () (@list @t1)) % 0.33/0.63 (define @t54 () (exists @t53 @t52)) % 0.33/0.63 (define @t55 () (not @t54)) % 0.33/0.63 (define @t56 () (@var "BOUND_VARIABLE_7822" $$unsorted)) % 0.33/0.63 (define @t57 () (forall (@list @t56) (not (tptp.tptptypes_5_387 @t56 tptp.c_pushingwithopenhand)))) % 0.33/0.63 (define @t58 () (not @t50)) % 0.33/0.63 (define @t59 () (forall @t53 @t58)) % 0.33/0.63 (define @t60 () (forall @t53 @t51)) % 0.33/0.63 (define @t61 () (and @t60 @t59)) % 0.33/0.63 (define @t62 () (forall @t53 (not @t52))) % 0.33/0.63 (define @t63 () (not @t62)) % 0.33/0.63 (define @t64 () (not @t45)) % 0.33/0.63 (define @t65 () (not @t46)) % 0.33/0.63 (define @t66 () (not @t10)) % 0.33/0.63 (define @t67 () (not @t51)) % 0.33/0.63 (define @t68 () (or @t67 @t66 @t12)) % 0.33/0.63 (define @t69 () (tptp.tptptypes_6_388 tptp.c_tptpcol_16_4451 tptp.c_pushingwithopenhand)) % 0.33/0.63 (define @t70 () (not @t11)) % 0.33/0.63 (define @t71 () (or @t70 @t69)) % 0.33/0.63 (define @t72 () (@list false false)) % 0.33/0.63 (define @t73 () (tptp.tptptypes_5_387 tptp.c_tptpcol_16_4451 tptp.c_pushingwithopenhand)) % 0.33/0.63 (define @t74 () (not @t69)) % 0.33/0.63 (define @t75 () (or @t74 @t73)) % 0.33/0.63 (assume @p1 (tptp.genlmt tptp.c_calendarsmt tptp.c_calendarsvocabularymt)) % 0.33/0.63 (assume @p2 (tptp.transitivebinarypredicate tptp.c_genlmt)) % 0.33/0.63 (assume @p3 (tptp.genlmt tptp.c_basekb tptp.c_universalvocabularymt)) % 0.33/0.63 (assume @p4 (tptp.genlmt tptp.c_cyclistsmt tptp.c_calendarsmt)) % 0.33/0.63 (assume @p5 (tptp.genlmt tptp.c_calendarsvocabularymt tptp.c_basekb)) % 0.33/0.63 (assume @p6 (tptp.genlpreds tptp.c_tptptypes_6_388 tptp.c_tptptypes_5_387)) % 0.33/0.63 (assume @p7 @t6) % 0.33/0.63 (assume @p8 (tptp.genlinverse tptp.c_tptptypes_7_389 tptp.c_tptptypes_6_388)) % 0.33/0.63 (assume @p9 @t9) % 0.33/0.63 (assume @p10 (tptp.genlmt tptp.c_tptp_spindleheadmt tptp.c_cyclistsmt)) % 0.33/0.63 (assume @p11 @t10) % 0.33/0.63 (assume @p12 (=> @t12 @t11)) % 0.33/0.63 (assume @p13 (forall (@list @t15 @t14 @t13) (not (and (tptp.isa @t15 @t14) (tptp.isa @t15 @t13) (tptp.disjointwith @t14 @t13))))) % 0.33/0.63 (assume @p14 (forall (@list @t17 @t18 @t16) (=> (and (tptp.genlinverse @t17 @t18) (tptp.genlinverse @t18 @t16)) (tptp.genlpreds @t17 @t16)))) % 0.33/0.63 (assume @p15 (forall @t21 (=> (tptp.disjointwith @t2 @t19) @t20))) % 0.33/0.63 (assume @p16 (forall @t22 (=> (tptp.disjointwith @t19 @t1) @t20))) % 0.33/0.63 (assume @p17 (forall (@list @t23 @t24) (=> (tptp.disjointwith @t23 @t24) (tptp.disjointwith @t24 @t23)))) % 0.33/0.63 (assume @p18 (forall @t28 (=> (and (tptp.disjointwith @t2 @t26) @t27) (tptp.disjointwith @t2 @t25)))) % 0.33/0.63 (assume @p19 (forall @t29 (=> (and (tptp.disjointwith @t26 @t1) @t27) (tptp.disjointwith @t25 @t1)))) % 0.33/0.63 (assume @p20 (forall @t32 (=> @t31 @t30))) % 0.33/0.63 (assume @p21 (forall @t32 (=> @t30 @t31))) % 0.33/0.63 (assume @p22 (forall @t32 (=> @t34 @t33))) % 0.33/0.63 (assume @p23 (forall @t32 (=> @t33 @t34))) % 0.33/0.63 (assume @p24 (forall @t21 (=> (tptp.tptptypes_7_389 @t2 @t19) @t35))) % 0.33/0.63 (assume @p25 (forall @t22 (=> (tptp.tptptypes_7_389 @t19 @t1) @t35))) % 0.33/0.63 (assume @p26 (forall @t21 (=> (tptp.genlinverse @t2 @t19) @t36))) % 0.33/0.63 (assume @p27 (forall @t22 (=> (tptp.genlinverse @t19 @t1) @t36))) % 0.33/0.63 (assume @p28 (forall @t29 (=> (and (tptp.genlinverse @t26 @t1) (tptp.genlpreds @t25 @t26)) (tptp.genlinverse @t25 @t1)))) % 0.33/0.63 (assume @p29 (forall @t28 (=> (and (tptp.genlinverse @t2 @t26) (tptp.genlpreds @t26 @t25)) (tptp.genlinverse @t2 @t25)))) % 0.33/0.63 (assume @p30 (forall @t21 (=> (tptp.tptptypes_5_387 @t2 @t19) @t35))) % 0.33/0.63 (assume @p31 (forall @t22 (=> (tptp.tptptypes_5_387 @t19 @t1) @t35))) % 0.33/0.63 (assume @p32 (forall @t21 (=> (tptp.tptptypes_6_388 @t2 @t19) @t35))) % 0.33/0.63 (assume @p33 (forall @t22 (=> (tptp.tptptypes_6_388 @t19 @t1) @t35))) % 0.33/0.63 (assume @p34 (forall @t21 (=> (tptp.genlpreds @t2 @t19) @t37))) % 0.33/0.63 (assume @p35 (forall @t22 (=> (tptp.genlpreds @t19 @t1) @t37))) % 0.33/0.63 (assume @p36 (forall @t39 (=> (and (tptp.genlpreds @t23 @t24) (tptp.genlpreds @t24 @t38)) (tptp.genlpreds @t23 @t38)))) % 0.33/0.63 (assume @p37 (forall @t32 (=> (tptp.predicate @t23) (tptp.genlpreds @t23 @t23)))) % 0.33/0.63 (assume @p38 (tptp.mtvisible tptp.c_basekb)) % 0.33/0.63 (assume @p39 (forall @t32 (=> @t41 @t40))) % 0.33/0.63 (assume @p40 (forall @t32 (=> @t40 @t41))) % 0.33/0.63 (assume @p41 (forall @t21 (=> (tptp.isa @t2 @t19) @t20))) % 0.33/0.63 (assume @p42 (forall @t22 (=> (tptp.isa @t19 @t1) (tptp.thing @t19)))) % 0.33/0.63 (assume @p43 (forall @t28 (=> (and (tptp.isa @t2 @t26) (tptp.genls @t26 @t25)) (tptp.isa @t2 @t25)))) % 0.33/0.63 (assume @p44 @t48) % 0.33/0.63 (assume @p45 (forall @t21 (=> (tptp.genlmt @t2 @t19) @t49))) % 0.33/0.63 (assume @p46 (forall @t22 (=> (tptp.genlmt @t19 @t1) @t49))) % 0.33/0.63 (assume @p47 (forall @t39 (=> (and (tptp.genlmt @t23 @t24) (tptp.genlmt @t24 @t38)) (tptp.genlmt @t23 @t38)))) % 0.33/0.63 (assume @p48 (forall @t32 (=> (tptp.microtheory @t23) (tptp.genlmt @t23 @t23)))) % 0.33/0.63 (assume @p49 (tptp.mtvisible tptp.c_universalvocabularymt)) % 0.33/0.63 (assume @p50 @t55) % 0.33/0.63 (assume @p51 true) % 0.33/0.63 (step @p52 :rule bool-double-not-elim :args ((and @t51 @t57))) % 0.33/0.63 (step @p53 :rule alpha_equiv :args (@t59 (@list @t1) (@list @t56))) % 0.33/0.63 (step @p54 :rule quant-unused-vars :args ((= @t60 @t51))) % 0.33/0.63 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t61)) % 0.33/0.63 (step @p56 :rule quant-miniscope-and :args ((= (forall @t53 (and @t51 @t58)) @t61))) % 0.33/0.63 (step @p57 :rule trans :premises (@p56 @p55)) % 0.33/0.63 (step @p58 :rule bool-implies-de-morgan :args (@t51 @t50)) % 0.33/0.63 (step @p59 :rule cong :premises (@p58) :args (@t62)) % 0.33/0.63 (step @p60 :rule trans :premises (@p59 @p57)) % 0.33/0.63 (step @p61 :rule cong :premises (@p60) :args (@t63)) % 0.33/0.63 (step @p62 :rule exists-elim :args ((= @t54 @t63))) % 0.33/0.63 (step @p63 :rule trans :premises (@p62 @p61)) % 0.33/0.63 (step @p64 :rule cong :premises (@p63) :args (@t55)) % 0.33/0.63 (step @p65 :rule trans :premises (@p64 @p52)) % 0.33/0.63 (step @p66 :rule eq_resolve :premises (@p50 @p65)) % 0.33/0.63 (step @p67 :rule and_elim :premises (@p66) :args (1)) % 0.33/0.63 (step @p68 :rule bool-impl-elim :args (@t4 @t3)) % 0.33/0.63 (step @p69 :rule cong :premises (@p68) :args (@t6)) % 0.33/0.63 (step @p70 :rule eq_resolve :premises (@p7 @p69)) % 0.33/0.63 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.c_tptpcol_16_4451 tptp.c_pushingwithopenhand))) % 0.33/0.63 (step @p72 :rule bool-impl-elim :args (@t8 @t7)) % 0.33/0.63 (step @p73 :rule cong :premises (@p72) :args (@t9)) % 0.33/0.63 (step @p74 :rule eq_resolve :premises (@p9 @p73)) % 0.33/0.63 (step @p75 :rule instantiate :premises (@p74) :args ((@list tptp.c_pushingwithopenhand tptp.c_tptpcol_16_4451))) % 0.33/0.63 (step @p76 :rule aci_norm :args ((= (or (or @t65 @t64) @t43) (or @t65 @t64 @t43)))) % 0.33/0.63 (step @p77 :rule refl :args (@t43)) % 0.33/0.63 (step @p78 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 0.33/0.63 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t47) @t43))) % 0.33/0.63 (step @p80 :rule trans :premises (@p79 @p76)) % 0.33/0.63 (step @p81 :rule bool-impl-elim :args (@t47 @t43)) % 0.33/0.63 (step @p82 :rule trans :premises (@p81 @p80)) % 0.33/0.63 (step @p83 :rule cong :premises (@p82) :args (@t48)) % 0.33/0.63 (step @p84 :rule eq_resolve :premises (@p44 @p83)) % 0.33/0.63 (step @p85 :rule instantiate :premises (@p84) :args ((@list tptp.c_tptp_member3393_mt tptp.c_tptp_spindleheadmt))) % 0.33/0.63 (step @p86 :rule and_elim :premises (@p66) :args (0)) % 0.33/0.63 (step @p87 :rule cnf_or_pos :args (@t68)) % 0.33/0.63 (step @p88 :rule reordering :premises (@p87) :args ((or @t12 @t66 @t67 (not @t68)))) % 0.33/0.63 (step @p89 :rule chain_m_resolution :premises (@p88 @p11 @p86 @p85) :args (@t12 (@list false false false) (@list @t10 @t51 @t68))) % 0.33/0.63 (step @p90 :rule implies_elim :premises (@p12)) % 0.33/0.63 (step @p91 :rule reordering :premises (@p90) :args ((or @t11 (not @t12)))) % 0.33/0.63 (step @p92 :rule chain_m_resolution :premises (@p91 @p89) :args (@t11 (@list false) (@list @t12))) % 0.33/0.63 (step @p93 :rule cnf_or_pos :args (@t71)) % 0.33/0.63 (step @p94 :rule reordering :premises (@p93) :args ((or @t70 @t69 (not @t71)))) % 0.33/0.63 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p75) :args (@t69 @t72 (@list @t11 @t71))) % 0.33/0.63 (step @p96 :rule cnf_or_pos :args (@t75)) % 0.33/0.63 (step @p97 :rule reordering :premises (@p96) :args ((or @t74 @t73 (not @t75)))) % 0.33/0.63 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p71) :args (@t73 @t72 (@list @t69 @t75))) % 0.33/0.63 (assume-push @p105 @t57) % 0.33/0.63 (step @p100 :rule instantiate :premises (@p67) :args ((@list tptp.c_tptpcol_16_4451))) % 0.33/0.63 (step-pop @p106 :rule scope :premises (@p100)) % 0.33/0.63 (step @p101 :rule process_scope :premises (@p106) :args ((not @t73))) % 0.33/0.63 (step @p103 :rule implies_elim :premises (@p101)) % 0.33/0.63 (step @p104 false :rule chain_m_resolution :premises (@p103 @p98 @p67) :args (false @t72 (@list @t73 @t57))) % 0.33/0.63 ) % 0.33/0.63 % SZS output end Proof % 0.33/0.63 % cvc5 exiting %------------------------------------------------------------------------------