%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO084+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:16:18 AM UTC 2026 % Result : Theorem 20.81s 21.09s % Output : Proof 20.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO084+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:19:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 20.81/21.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 20.81/21.09 --- Run --no-e-matching --full-saturate-quant at 6... % 20.81/21.09 % SZS status Theorem % 20.81/21.09 % SZS output start Proof % 20.81/21.09 ( % 20.81/21.09 (declare-sort $$unsorted 0) % 20.81/21.09 (declare-const tptp.open (-> $$unsorted Bool)) % 20.81/21.09 (declare-const tptp.closed (-> $$unsorted Bool)) % 20.81/21.09 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 20.81/21.09 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 20.81/21.09 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 20.81/21.09 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 20.81/21.09 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 20.81/21.09 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 20.81/21.09 (define @t1 () (@var "C" $$unsorted)) % 20.81/21.09 (define @t2 () (@var "P" $$unsorted)) % 20.81/21.09 (define @t3 () (tptp.incident_c @t2 @t1)) % 20.81/21.09 (define @t4 () (@var "C1" $$unsorted)) % 20.81/21.09 (define @t5 () (tptp.incident_c @t2 @t4)) % 20.81/21.09 (define @t6 () (@list @t2)) % 20.81/21.09 (define @t7 () (forall @t6 (=> @t5 @t3))) % 20.81/21.09 (define @t8 () (tptp.part_of @t4 @t1)) % 20.81/21.09 (define @t9 () (= @t8 @t7)) % 20.81/21.09 (define @t10 () (@list @t1 @t4)) % 20.81/21.09 (define @t11 () (forall @t10 @t9)) % 20.81/21.09 (define @t12 () (@var "C2" $$unsorted)) % 20.81/21.09 (define @t13 () (@var "Q" $$unsorted)) % 20.81/21.09 (define @t14 () (tptp.incident_c @t13 @t4)) % 20.81/21.09 (define @t15 () (tptp.incident_c @t13 @t1)) % 20.81/21.09 (define @t16 () (@list @t13)) % 20.81/21.09 (define @t17 () (tptp.sum @t4 @t12)) % 20.81/21.09 (define @t18 () (= @t1 @t17)) % 20.81/21.09 (define @t19 () (forall (@list @t1 @t4 @t12) (= @t18 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 20.81/21.09 (define @t20 () (tptp.part_of @t12 @t4)) % 20.81/21.09 (define @t21 () (tptp.part_of @t4 @t12)) % 20.81/21.09 (define @t22 () (tptp.part_of @t12 @t1)) % 20.81/21.09 (define @t23 () (@list @t4 @t12)) % 20.81/21.09 (define @t24 () (tptp.end_point @t2 @t1)) % 20.81/21.09 (define @t25 () (@list @t2 @t1)) % 20.81/21.09 (define @t26 () (tptp.inner_point @t2 @t1)) % 20.81/21.09 (define @t27 () (tptp.end_point @t13 @t4)) % 20.81/21.09 (define @t28 () (tptp.end_point @t13 @t1)) % 20.81/21.09 (define @t29 () (exists @t6 @t24)) % 20.81/21.09 (define @t30 () (tptp.closed @t1)) % 20.81/21.09 (define @t31 () (@list @t1)) % 20.81/21.09 (define @t32 () (@var "C3" $$unsorted)) % 20.81/21.09 (define @t33 () (tptp.part_of @t4 @t32)) % 20.81/21.09 (define @t34 () (tptp.part_of @t12 @t32)) % 20.81/21.09 (define @t35 () (tptp.meet @t2 @t4 @t12)) % 20.81/21.09 (define @t36 () (@list @t1 @t2)) % 20.81/21.09 (define @t37 () (@var "R" $$unsorted)) % 20.81/21.09 (define @t38 () (= @t2 @t13)) % 20.81/21.09 (define @t39 () (tptp.part_of @t17 @t32)) % 20.81/21.09 (define @t40 () (and @t33 @t34 @t35)) % 20.81/21.09 (define @t41 () (@list @t4 @t12 @t32 @t2)) % 20.81/21.09 (define @t42 () (forall @t41 (=> @t40 @t39))) % 20.81/21.09 (define @t43 () (not @t42)) % 20.81/21.09 (define @t44 () (not @t35)) % 20.81/21.09 (define @t45 () (not @t34)) % 20.81/21.09 (define @t46 () (not @t33)) % 20.81/21.09 (define @t47 () (or @t46 @t45 @t44 @t39)) % 20.81/21.09 (define @t48 () (forall @t41 @t47)) % 20.81/21.09 (define @t49 () (@quantifiers_skolemize @t48 1)) % 20.81/21.09 (define @t50 () (@quantifiers_skolemize @t48 0)) % 20.81/21.09 (define @t51 () (tptp.sum @t50 @t49)) % 20.81/21.09 (define @t52 () (@quantifiers_skolemize @t48 2)) % 20.81/21.09 (define @t53 () (or @t46 @t45 @t44)) % 20.81/21.09 (define @t54 () (tptp.part_of @t51 @t52)) % 20.81/21.09 (define @t55 () (tptp.part_of @t49 @t52)) % 20.81/21.09 (define @t56 () (not @t55)) % 20.81/21.09 (define @t57 () (tptp.part_of @t50 @t52)) % 20.81/21.09 (define @t58 () (not @t57)) % 20.81/21.09 (define @t59 () (or @t58 @t56 (not (tptp.meet (@quantifiers_skolemize @t48 3) @t50 @t49)) @t54)) % 20.81/21.09 (define @t60 () (@list true)) % 20.81/21.09 (define @t61 () (@list @t59)) % 20.81/21.09 (define @t62 () (tptp.incident_c @t2 @t52)) % 20.81/21.09 (define @t63 () (forall @t6 (or (not (tptp.incident_c @t2 @t51)) @t62))) % 20.81/21.09 (define @t64 () (= @t54 @t63)) % 20.81/21.09 (define @t65 () (not @t63)) % 20.81/21.09 (define @t66 () (@list true false)) % 20.81/21.09 (define @t67 () (@quantifiers_skolemize @t63 0)) % 20.81/21.09 (define @t68 () (tptp.incident_c @t67 @t51)) % 20.81/21.09 (define @t69 () (tptp.incident_c @t67 @t52)) % 20.81/21.09 (define @t70 () (not @t68)) % 20.81/21.09 (define @t71 () (or @t70 @t69)) % 20.81/21.09 (define @t72 () (@list @t71)) % 20.81/21.09 (define @t73 () (forall @t6 (or (not (tptp.incident_c @t2 @t50)) @t62))) % 20.81/21.09 (define @t74 () (= @t57 @t73)) % 20.81/21.09 (define @t75 () (@list false false)) % 20.81/21.09 (define @t76 () (@list @t67)) % 20.81/21.09 (define @t77 () (tptp.incident_c @t67 @t50)) % 20.81/21.09 (define @t78 () (not @t77)) % 20.81/21.09 (define @t79 () (or @t78 @t69)) % 20.81/21.09 (define @t80 () (forall @t6 (or (not (tptp.incident_c @t2 @t49)) @t62))) % 20.81/21.09 (define @t81 () (= @t55 @t80)) % 20.81/21.09 (define @t82 () (tptp.incident_c @t67 @t49)) % 20.81/21.09 (define @t83 () (not @t82)) % 20.81/21.09 (define @t84 () (or @t83 @t69)) % 20.81/21.09 (define @t85 () (or @t77 @t82)) % 20.81/21.09 (define @t86 () (not @t85)) % 20.81/21.09 (define @t87 () (tptp.incident_c @t13 @t51)) % 20.81/21.09 (define @t88 () (or (tptp.incident_c @t13 @t50) (tptp.incident_c @t13 @t49))) % 20.81/21.09 (define @t89 () (forall @t16 (= @t88 @t87))) % 20.81/21.09 (define @t90 () (forall @t16 (= @t87 @t88))) % 20.81/21.09 (define @t91 () (= (= @t51 @t51) @t90)) % 20.81/21.09 (define @t92 () (@list false)) % 20.81/21.09 (define @t93 () (= @t85 @t68)) % 20.81/21.09 (define @t94 () (= @t68 @t85)) % 20.81/21.09 (assume @p1 @t11) % 20.81/21.09 (assume @p2 @t19) % 20.81/21.09 (assume @p3 (forall @t25 (= @t24 (and @t3 (forall @t23 (=> (and @t8 @t22 @t5 (tptp.incident_c @t2 @t12)) (or @t21 @t20))))))) % 20.81/21.09 (assume @p4 (forall @t25 (= @t26 (and @t3 (not @t24))))) % 20.81/21.09 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t16 (=> (and @t15 @t14) (and @t28 @t27))))))) % 20.81/21.09 (assume @p6 (forall @t31 (= @t30 (not @t29)))) % 20.81/21.09 (assume @p7 (forall @t31 (= (tptp.open @t1) @t29))) % 20.81/21.09 (assume @p8 (forall @t10 (=> (and @t8 (not (= @t4 @t1))) (tptp.open @t4)))) % 20.81/21.09 (assume @p9 (forall (@list @t1 @t4 @t12 @t32) (=> (and @t8 @t22 (tptp.part_of @t32 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t12) (tptp.end_point @t2 @t32)))) (or @t34 (tptp.part_of @t32 @t12) @t21 @t20 @t33 (tptp.part_of @t32 @t4))))) % 20.81/21.09 (assume @p10 (forall @t31 (exists @t6 @t26))) % 20.81/21.09 (assume @p11 (forall @t36 (=> @t26 (exists @t23 (and @t35 @t18))))) % 20.81/21.09 (assume @p12 (forall (@list @t1 @t2 @t13 @t37) (=> (and @t24 @t28 (tptp.end_point @t37 @t1)) (or @t38 (= @t2 @t37) (= @t13 @t37))))) % 20.81/21.09 (assume @p13 (forall @t36 (=> @t24 (exists @t16 (and @t28 (not @t38)))))) % 20.81/21.09 (assume @p14 (forall (@list @t1 @t4 @t12 @t2) (=> (and @t30 @t35 @t18) (forall @t16 (=> @t27 (tptp.meet @t13 @t4 @t12)))))) % 20.81/21.09 (assume @p15 (forall @t23 (=> (exists @t6 @t35) (exists @t31 @t18)))) % 20.81/21.09 (assume @p16 (forall @t10 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 20.81/21.09 (assume @p17 @t43) % 20.81/21.09 (assume @p18 true) % 20.81/21.09 (step @p19 :rule bool-impl-elim :args (@t5 @t3)) % 20.81/21.09 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 20.81/21.09 (step @p21 :rule refl :args (@t8)) % 20.81/21.09 (step @p22 :rule cong :premises (@p21 @p20) :args (@t9)) % 20.81/21.09 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 20.81/21.09 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 20.81/21.09 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t52 @t51))) % 20.81/21.09 (step @p26 :rule aci_norm :args ((= (or @t53 @t39) @t47))) % 20.81/21.09 (step @p27 :rule refl :args (@t39)) % 20.81/21.09 (step @p28 :rule aci_norm :args ((= (or @t46 (or @t45 @t44)) @t53))) % 20.81/21.09 (step @p29 :rule bool-and-de-morgan :args (@t34 @t35 true)) % 20.81/21.09 (step @p30 :rule refl :args (@t46)) % 20.81/21.09 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t46 (not (and @t34 @t35))))) % 20.81/21.09 (step @p32 :rule bool-and-de-morgan :args (@t33 @t34 (and @t35))) % 20.81/21.09 (step @p33 :rule trans :premises (@p32 @p31)) % 20.81/21.09 (step @p34 :rule trans :premises (@p33 @p28)) % 20.81/21.09 (step @p35 :rule nary_cong :premises (@p34 @p27) :args ((or (not @t40) @t39))) % 20.81/21.09 (step @p36 :rule trans :premises (@p35 @p26)) % 20.81/21.09 (step @p37 :rule bool-impl-elim :args (@t40 @t39)) % 20.81/21.09 (step @p38 :rule trans :premises (@p37 @p36)) % 20.81/21.09 (step @p39 :rule cong :premises (@p38) :args (@t42)) % 20.81/21.09 (step @p40 :rule cong :premises (@p39) :args (@t43)) % 20.81/21.09 (step @p41 :rule eq_resolve :premises (@p17 @p40)) % 20.81/21.09 (step @p42 :rule skolemize :premises (@p41)) % 20.81/21.09 (step @p43 :rule cnf_or_neg :args (@t59 3)) % 20.81/21.09 (step @p44 :rule chain_m_resolution :premises (@p43 @p42) :args ((not @t54) @t60 @t61)) % 20.81/21.09 (step @p45 :rule cnf_equiv_pos2 :args (@t64)) % 20.81/21.09 (step @p46 :rule reordering :premises (@p45) :args ((or @t54 @t65 (not @t64)))) % 20.81/21.09 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p25) :args (@t65 @t66 (@list @t54 @t64))) % 20.81/21.09 (step @p48 :rule skolemize :premises (@p47)) % 20.81/21.09 (step @p49 :rule bool-double-not-elim :args (@t68)) % 20.81/21.09 (step @p50 :rule refl :args (@t71)) % 20.81/21.09 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t71 (not @t70)))) % 20.81/21.09 (step @p52 :rule cnf_or_neg :args (@t71 0)) % 20.81/21.09 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 20.81/21.09 (step @p54 :rule reordering :premises (@p53) :args ((or @t68 @t71))) % 20.81/21.09 (step @p55 :rule chain_m_resolution :premises (@p54 @p48) :args (@t68 @t60 @t72)) % 20.81/21.09 (step @p56 :rule instantiate :premises (@p24) :args ((@list @t52 @t50))) % 20.81/21.09 (step @p57 :rule bool-double-not-elim :args (@t57)) % 20.81/21.09 (step @p58 :rule refl :args (@t59)) % 20.81/21.09 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t59 (not @t58)))) % 20.81/21.09 (step @p60 :rule cnf_or_neg :args (@t59 0)) % 20.81/21.09 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 20.81/21.09 (step @p62 :rule reordering :premises (@p61) :args ((or @t57 @t59))) % 20.81/21.09 (step @p63 :rule chain_m_resolution :premises (@p62 @p42) :args (@t57 @t60 @t61)) % 20.81/21.09 (step @p64 :rule cnf_equiv_pos1 :args (@t74)) % 20.81/21.09 (step @p65 :rule reordering :premises (@p64) :args ((or @t58 @t73 (not @t74)))) % 20.81/21.09 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p56) :args (@t73 @t75 (@list @t57 @t74))) % 20.81/21.09 (step @p67 :rule instantiate :premises (@p66) :args (@t76)) % 20.81/21.09 (step @p68 :rule cnf_or_neg :args (@t71 1)) % 20.81/21.09 (step @p69 :rule chain_m_resolution :premises (@p68 @p48) :args ((not @t69) @t60 @t72)) % 20.81/21.09 (step @p70 :rule cnf_or_pos :args (@t79)) % 20.81/21.09 (step @p71 :rule reordering :premises (@p70) :args ((or @t69 @t78 (not @t79)))) % 20.81/21.09 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p67) :args (@t78 @t66 (@list @t69 @t79))) % 20.81/21.09 (step @p73 :rule instantiate :premises (@p24) :args ((@list @t52 @t49))) % 20.81/21.09 (step @p74 :rule bool-double-not-elim :args (@t55)) % 20.81/21.09 (step @p75 :rule nary_cong :premises (@p58 @p74) :args ((or @t59 (not @t56)))) % 20.81/21.09 (step @p76 :rule cnf_or_neg :args (@t59 1)) % 20.81/21.09 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 20.81/21.09 (step @p78 :rule reordering :premises (@p77) :args ((or @t55 @t59))) % 20.81/21.09 (step @p79 :rule chain_m_resolution :premises (@p78 @p42) :args (@t55 @t60 @t61)) % 20.81/21.09 (step @p80 :rule cnf_equiv_pos1 :args (@t81)) % 20.81/21.09 (step @p81 :rule reordering :premises (@p80) :args ((or @t56 @t80 (not @t81)))) % 20.81/21.09 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p73) :args (@t80 @t75 (@list @t55 @t81))) % 20.81/21.09 (step @p83 :rule instantiate :premises (@p82) :args (@t76)) % 20.81/21.09 (step @p84 :rule cnf_or_pos :args (@t84)) % 20.81/21.09 (step @p85 :rule reordering :premises (@p84) :args ((or @t69 @t83 (not @t84)))) % 20.81/21.09 (step @p86 :rule chain_m_resolution :premises (@p85 @p69 @p83) :args (@t83 @t66 (@list @t69 @t84))) % 20.81/21.09 (step @p87 :rule cnf_or_pos :args (@t85)) % 20.81/21.09 (step @p88 :rule reordering :premises (@p87) :args ((or @t82 @t77 @t86))) % 20.81/21.09 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p72) :args (@t86 (@list true true) (@list @t82 @t77))) % 20.81/21.09 (step @p90 :rule bool-eq-true :args (@t89)) % 20.81/21.09 (step @p91 :rule eq-symm :args (true @t89)) % 20.81/21.09 (step @p92 :rule trans :premises (@p91 @p90)) % 20.81/21.09 (step @p93 :rule eq-symm :args (@t87 @t88)) % 20.81/21.09 (step @p94 :rule cong :premises (@p93) :args (@t90)) % 20.81/21.09 (step @p95 :rule eq-refl :args (@t51)) % 20.81/21.09 (step @p96 :rule cong :premises (@p95 @p94) :args (@t91)) % 20.81/21.09 (step @p97 :rule trans :premises (@p96 @p92)) % 20.81/21.09 (step @p98 :rule refl :args (@t19)) % 20.81/21.09 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t19 @t91))) % 20.81/21.09 (assume-push @p120 @t19) % 20.81/21.09 (step @p101 :rule instantiate :premises (@p2) :args ((@list @t51 @t50 @t49))) % 20.81/21.09 (step-pop @p121 :rule scope :premises (@p101)) % 20.81/21.09 (step @p102 :rule process_scope :premises (@p121) :args (@t91)) % 20.81/21.09 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 20.81/21.09 (step @p105 :rule implies_elim :premises (@p104)) % 20.81/21.09 (step @p106 :rule chain_m_resolution :premises (@p105 @p2) :args (@t89 @t92 (@list @t19))) % 20.81/21.09 (step @p107 :rule eq-symm :args (@t85 @t68)) % 20.81/21.09 (step @p108 :rule refl :args (@t89)) % 20.81/21.09 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t89 @t93))) % 20.81/21.09 (assume-push @p122 @t89) % 20.81/21.09 (step @p111 :rule instantiate :premises (@p106) :args (@t76)) % 20.81/21.09 (step-pop @p123 :rule scope :premises (@p111)) % 20.81/21.09 (step @p112 :rule process_scope :premises (@p123) :args (@t93)) % 20.81/21.09 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 20.81/21.09 (step @p115 :rule implies_elim :premises (@p114)) % 20.81/21.09 (step @p116 :rule chain_m_resolution :premises (@p115 @p106) :args (@t94 @t92 (@list @t89))) % 20.81/21.09 (step @p117 :rule cnf_equiv_pos1 :args (@t94)) % 20.81/21.09 (step @p118 :rule reordering :premises (@p117) :args ((or @t70 @t85 (not @t94)))) % 20.81/21.09 (step @p119 false :rule chain_m_resolution :premises (@p118 @p116 @p89 @p55) :args (false (@list false true false) (@list @t94 @t85 @t68))) % 20.81/21.09 ) % 20.81/21.09 % SZS output end Proof % 20.81/21.09 % cvc5 exiting %------------------------------------------------------------------------------