%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO083+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 : n026.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 33.90s 34.27s % Output : Proof 33.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO083+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 : n026.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 23:17:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 33.90/34.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.90/34.27 --- Run --no-e-matching --full-saturate-quant at 6... % 33.90/34.27 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.90/34.27 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.90/34.27 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.90/34.27 % SZS status Theorem % 33.90/34.27 % SZS output start Proof % 33.90/34.27 ( % 33.90/34.27 (declare-sort $$unsorted 0) % 33.90/34.27 (declare-const tptp.open (-> $$unsorted Bool)) % 33.90/34.27 (declare-const tptp.closed (-> $$unsorted Bool)) % 33.90/34.27 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.90/34.27 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 33.90/34.27 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 33.90/34.27 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 33.90/34.27 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 33.90/34.27 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 33.90/34.27 (define @t1 () (@var "C" $$unsorted)) % 33.90/34.27 (define @t2 () (@var "P" $$unsorted)) % 33.90/34.27 (define @t3 () (tptp.incident_c @t2 @t1)) % 33.90/34.27 (define @t4 () (@var "C1" $$unsorted)) % 33.90/34.27 (define @t5 () (tptp.incident_c @t2 @t4)) % 33.90/34.27 (define @t6 () (@list @t2)) % 33.90/34.27 (define @t7 () (forall @t6 (=> @t5 @t3))) % 33.90/34.27 (define @t8 () (tptp.part_of @t4 @t1)) % 33.90/34.27 (define @t9 () (= @t8 @t7)) % 33.90/34.27 (define @t10 () (@list @t1 @t4)) % 33.90/34.27 (define @t11 () (forall @t10 @t9)) % 33.90/34.27 (define @t12 () (@var "C2" $$unsorted)) % 33.90/34.27 (define @t13 () (@var "Q" $$unsorted)) % 33.90/34.27 (define @t14 () (tptp.incident_c @t13 @t4)) % 33.90/34.27 (define @t15 () (tptp.incident_c @t13 @t1)) % 33.90/34.27 (define @t16 () (@list @t13)) % 33.90/34.27 (define @t17 () (tptp.sum @t4 @t12)) % 33.90/34.27 (define @t18 () (= @t1 @t17)) % 33.90/34.27 (define @t19 () (forall (@list @t1 @t4 @t12) (= @t18 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 33.90/34.27 (define @t20 () (tptp.part_of @t12 @t4)) % 33.90/34.27 (define @t21 () (tptp.part_of @t4 @t12)) % 33.90/34.27 (define @t22 () (tptp.part_of @t12 @t1)) % 33.90/34.27 (define @t23 () (@list @t4 @t12)) % 33.90/34.27 (define @t24 () (tptp.end_point @t2 @t1)) % 33.90/34.27 (define @t25 () (@list @t2 @t1)) % 33.90/34.27 (define @t26 () (tptp.inner_point @t2 @t1)) % 33.90/34.27 (define @t27 () (tptp.end_point @t13 @t4)) % 33.90/34.27 (define @t28 () (tptp.end_point @t13 @t1)) % 33.90/34.27 (define @t29 () (exists @t6 @t24)) % 33.90/34.27 (define @t30 () (tptp.closed @t1)) % 33.90/34.27 (define @t31 () (@list @t1)) % 33.90/34.27 (define @t32 () (@var "C3" $$unsorted)) % 33.90/34.27 (define @t33 () (tptp.part_of @t12 @t32)) % 33.90/34.27 (define @t34 () (tptp.meet @t2 @t4 @t12)) % 33.90/34.27 (define @t35 () (@list @t1 @t2)) % 33.90/34.27 (define @t36 () (@var "R" $$unsorted)) % 33.90/34.27 (define @t37 () (= @t2 @t13)) % 33.90/34.27 (define @t38 () (tptp.part_of @t17 (tptp.sum @t4 @t32))) % 33.90/34.27 (define @t39 () (tptp.meet @t2 @t4 @t32)) % 33.90/34.27 (define @t40 () (and @t33 @t34 @t39)) % 33.90/34.27 (define @t41 () (@list @t4 @t12 @t32 @t2)) % 33.90/34.27 (define @t42 () (forall @t41 (=> @t40 @t38))) % 33.90/34.27 (define @t43 () (not @t42)) % 33.90/34.27 (define @t44 () (not @t39)) % 33.90/34.27 (define @t45 () (not @t34)) % 33.90/34.27 (define @t46 () (not @t33)) % 33.90/34.27 (define @t47 () (or @t46 @t45 @t44 @t38)) % 33.90/34.27 (define @t48 () (forall @t41 @t47)) % 33.90/34.27 (define @t49 () (@quantifiers_skolemize @t48 1)) % 33.90/34.27 (define @t50 () (@quantifiers_skolemize @t48 2)) % 33.90/34.27 (define @t51 () (or @t46 @t45 @t44)) % 33.90/34.27 (define @t52 () (tptp.part_of @t49 @t50)) % 33.90/34.27 (define @t53 () (@quantifiers_skolemize @t48 0)) % 33.90/34.27 (define @t54 () (tptp.sum @t53 @t50)) % 33.90/34.27 (define @t55 () (tptp.sum @t53 @t49)) % 33.90/34.27 (define @t56 () (tptp.part_of @t55 @t54)) % 33.90/34.27 (define @t57 () (@quantifiers_skolemize @t48 3)) % 33.90/34.27 (define @t58 () (not @t52)) % 33.90/34.27 (define @t59 () (or @t58 (not (tptp.meet @t57 @t53 @t49)) (not (tptp.meet @t57 @t53 @t50)) @t56)) % 33.90/34.27 (define @t60 () (@list true)) % 33.90/34.27 (define @t61 () (@list @t59)) % 33.90/34.27 (define @t62 () (forall @t6 (or (not (tptp.incident_c @t2 @t49)) (tptp.incident_c @t2 @t50)))) % 33.90/34.27 (define @t63 () (= @t52 @t62)) % 33.90/34.27 (define @t64 () (@list false false)) % 33.90/34.27 (define @t65 () (forall @t6 (or (not (tptp.incident_c @t2 @t55)) (tptp.incident_c @t2 @t54)))) % 33.90/34.27 (define @t66 () (@quantifiers_skolemize @t65 0)) % 33.90/34.27 (define @t67 () (@list @t66)) % 33.90/34.27 (define @t68 () (tptp.incident_c @t13 @t53)) % 33.90/34.27 (define @t69 () (forall @t16 (= (tptp.incident_c @t13 @t54) (or @t68 (tptp.incident_c @t13 @t50))))) % 33.90/34.27 (define @t70 () (= (= @t54 @t54) @t69)) % 33.90/34.27 (define @t71 () (@list false)) % 33.90/34.27 (define @t72 () (@list @t19)) % 33.90/34.27 (define @t73 () (= @t56 @t65)) % 33.90/34.27 (define @t74 () (not @t65)) % 33.90/34.27 (define @t75 () (@list true false)) % 33.90/34.27 (define @t76 () (tptp.incident_c @t66 @t54)) % 33.90/34.27 (define @t77 () (tptp.incident_c @t66 @t55)) % 33.90/34.27 (define @t78 () (not @t77)) % 33.90/34.27 (define @t79 () (or @t78 @t76)) % 33.90/34.27 (define @t80 () (@list @t79)) % 33.90/34.27 (define @t81 () (tptp.incident_c @t66 @t50)) % 33.90/34.27 (define @t82 () (tptp.incident_c @t66 @t53)) % 33.90/34.27 (define @t83 () (or @t82 @t81)) % 33.90/34.27 (define @t84 () (= @t76 @t83)) % 33.90/34.27 (define @t85 () (not @t83)) % 33.90/34.27 (define @t86 () (not @t81)) % 33.90/34.27 (define @t87 () (@list @t83)) % 33.90/34.27 (define @t88 () (forall @t16 (= (tptp.incident_c @t13 @t55) (or @t68 (tptp.incident_c @t13 @t49))))) % 33.90/34.27 (define @t89 () (= (= @t55 @t55) @t88)) % 33.90/34.27 (define @t90 () (tptp.incident_c @t66 @t49)) % 33.90/34.27 (define @t91 () (or @t82 @t90)) % 33.90/34.27 (define @t92 () (= @t77 @t91)) % 33.90/34.27 (define @t93 () (not @t82)) % 33.90/34.27 (define @t94 () (not @t90)) % 33.90/34.27 (define @t95 () (or @t94 @t81)) % 33.90/34.27 (assume @p1 @t11) % 33.90/34.27 (assume @p2 @t19) % 33.90/34.27 (assume @p3 (forall @t25 (= @t24 (and @t3 (forall @t23 (=> (and @t8 @t22 @t5 (tptp.incident_c @t2 @t12)) (or @t21 @t20))))))) % 33.90/34.27 (assume @p4 (forall @t25 (= @t26 (and @t3 (not @t24))))) % 33.90/34.27 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t16 (=> (and @t15 @t14) (and @t28 @t27))))))) % 33.90/34.27 (assume @p6 (forall @t31 (= @t30 (not @t29)))) % 33.90/34.27 (assume @p7 (forall @t31 (= (tptp.open @t1) @t29))) % 33.90/34.27 (assume @p8 (forall @t10 (=> (and @t8 (not (= @t4 @t1))) (tptp.open @t4)))) % 33.90/34.27 (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 @t33 (tptp.part_of @t32 @t12) @t21 @t20 (tptp.part_of @t4 @t32) (tptp.part_of @t32 @t4))))) % 33.90/34.27 (assume @p10 (forall @t31 (exists @t6 @t26))) % 33.90/34.27 (assume @p11 (forall @t35 (=> @t26 (exists @t23 (and @t34 @t18))))) % 33.90/34.27 (assume @p12 (forall (@list @t1 @t2 @t13 @t36) (=> (and @t24 @t28 (tptp.end_point @t36 @t1)) (or @t37 (= @t2 @t36) (= @t13 @t36))))) % 33.90/34.27 (assume @p13 (forall @t35 (=> @t24 (exists @t16 (and @t28 (not @t37)))))) % 33.90/34.27 (assume @p14 (forall (@list @t1 @t4 @t12 @t2) (=> (and @t30 @t34 @t18) (forall @t16 (=> @t27 (tptp.meet @t13 @t4 @t12)))))) % 33.90/34.27 (assume @p15 (forall @t23 (=> (exists @t6 @t34) (exists @t31 @t18)))) % 33.90/34.27 (assume @p16 (forall @t10 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 33.90/34.27 (assume @p17 @t43) % 33.90/34.27 (assume @p18 true) % 33.90/34.27 (step @p19 :rule bool-impl-elim :args (@t5 @t3)) % 33.90/34.27 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 33.90/34.27 (step @p21 :rule refl :args (@t8)) % 33.90/34.27 (step @p22 :rule cong :premises (@p21 @p20) :args (@t9)) % 33.90/34.27 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 33.90/34.27 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 33.90/34.27 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t50 @t49))) % 33.90/34.27 (step @p26 :rule aci_norm :args ((= (or @t51 @t38) @t47))) % 33.90/34.27 (step @p27 :rule refl :args (@t38)) % 33.90/34.27 (step @p28 :rule aci_norm :args ((= (or @t46 (or @t45 @t44)) @t51))) % 33.90/34.27 (step @p29 :rule bool-and-de-morgan :args (@t34 @t39 true)) % 33.90/34.27 (step @p30 :rule refl :args (@t46)) % 33.90/34.27 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t46 (not (and @t34 @t39))))) % 33.90/34.27 (step @p32 :rule bool-and-de-morgan :args (@t33 @t34 (and @t39))) % 33.90/34.27 (step @p33 :rule trans :premises (@p32 @p31)) % 33.90/34.27 (step @p34 :rule trans :premises (@p33 @p28)) % 33.90/34.27 (step @p35 :rule nary_cong :premises (@p34 @p27) :args ((or (not @t40) @t38))) % 33.90/34.27 (step @p36 :rule trans :premises (@p35 @p26)) % 33.90/34.27 (step @p37 :rule bool-impl-elim :args (@t40 @t38)) % 33.90/34.27 (step @p38 :rule trans :premises (@p37 @p36)) % 33.90/34.27 (step @p39 :rule cong :premises (@p38) :args (@t42)) % 33.90/34.27 (step @p40 :rule cong :premises (@p39) :args (@t43)) % 33.90/34.27 (step @p41 :rule eq_resolve :premises (@p17 @p40)) % 33.90/34.27 (step @p42 :rule skolemize :premises (@p41)) % 33.90/34.27 (step @p43 :rule bool-double-not-elim :args (@t52)) % 33.90/34.27 (step @p44 :rule refl :args (@t59)) % 33.90/34.27 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t59 (not @t58)))) % 33.90/34.27 (step @p46 :rule cnf_or_neg :args (@t59 0)) % 33.90/34.27 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 33.90/34.27 (step @p48 :rule reordering :premises (@p47) :args ((or @t52 @t59))) % 33.90/34.27 (step @p49 :rule chain_m_resolution :premises (@p48 @p42) :args (@t52 @t60 @t61)) % 33.90/34.27 (step @p50 :rule cnf_equiv_pos1 :args (@t63)) % 33.90/34.27 (step @p51 :rule reordering :premises (@p50) :args ((or @t58 @t62 (not @t63)))) % 33.90/34.27 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p25) :args (@t62 @t64 (@list @t52 @t63))) % 33.90/34.27 (step @p53 :rule instantiate :premises (@p52) :args (@t67)) % 33.90/34.27 (step @p54 :rule bool-eq-true :args (@t69)) % 33.90/34.27 (step @p55 :rule eq-symm :args (true @t69)) % 33.90/34.27 (step @p56 :rule trans :premises (@p55 @p54)) % 33.90/34.27 (step @p57 :rule refl :args (@t69)) % 33.90/34.27 (step @p58 :rule eq-refl :args (@t54)) % 33.90/34.27 (step @p59 :rule cong :premises (@p58 @p57) :args (@t70)) % 33.90/34.27 (step @p60 :rule trans :premises (@p59 @p56)) % 33.90/34.27 (step @p61 :rule refl :args (@t19)) % 33.90/34.27 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t19 @t70))) % 33.90/34.27 (assume-push @p121 @t19) % 33.90/34.27 (step @p64 :rule instantiate :premises (@p2) :args ((@list @t54 @t53 @t50))) % 33.90/34.27 (step-pop @p122 :rule scope :premises (@p64)) % 33.90/34.27 (step @p65 :rule process_scope :premises (@p122) :args (@t70)) % 33.90/34.27 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 33.90/34.27 (step @p68 :rule implies_elim :premises (@p67)) % 33.90/34.27 (step @p69 :rule chain_m_resolution :premises (@p68 @p2) :args (@t69 @t71 @t72)) % 33.90/34.27 (step @p70 :rule instantiate :premises (@p69) :args (@t67)) % 33.90/34.27 (step @p71 :rule instantiate :premises (@p24) :args ((@list @t54 @t55))) % 33.90/34.27 (step @p72 :rule cnf_or_neg :args (@t59 3)) % 33.90/34.27 (step @p73 :rule chain_m_resolution :premises (@p72 @p42) :args ((not @t56) @t60 @t61)) % 33.90/34.27 (step @p74 :rule cnf_equiv_pos2 :args (@t73)) % 33.90/34.27 (step @p75 :rule reordering :premises (@p74) :args ((or @t56 @t74 (not @t73)))) % 33.90/34.27 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p71) :args (@t74 @t75 (@list @t56 @t73))) % 33.90/34.27 (step @p77 :rule skolemize :premises (@p76)) % 33.90/34.27 (step @p78 :rule cnf_or_neg :args (@t79 1)) % 33.90/34.27 (step @p79 :rule chain_m_resolution :premises (@p78 @p77) :args ((not @t76) @t60 @t80)) % 33.90/34.27 (step @p80 :rule cnf_equiv_pos2 :args (@t84)) % 33.90/34.27 (step @p81 :rule reordering :premises (@p80) :args ((or @t76 @t85 (not @t84)))) % 33.90/34.27 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p70) :args (@t85 @t75 (@list @t76 @t84))) % 33.90/34.27 (step @p83 :rule cnf_or_neg :args (@t83 1)) % 33.90/34.27 (step @p84 :rule reordering :premises (@p83) :args ((or @t86 @t83))) % 33.90/34.27 (step @p85 :rule chain_m_resolution :premises (@p84 @p82) :args (@t86 @t60 @t87)) % 33.90/34.27 (step @p86 :rule bool-eq-true :args (@t88)) % 33.90/34.27 (step @p87 :rule eq-symm :args (true @t88)) % 33.90/34.27 (step @p88 :rule trans :premises (@p87 @p86)) % 33.90/34.27 (step @p89 :rule refl :args (@t88)) % 33.90/34.27 (step @p90 :rule eq-refl :args (@t55)) % 33.90/34.27 (step @p91 :rule cong :premises (@p90 @p89) :args (@t89)) % 33.90/34.27 (step @p92 :rule trans :premises (@p91 @p88)) % 33.90/34.27 (step @p93 :rule cong :premises (@p61 @p92) :args ((=> @t19 @t89))) % 33.90/34.27 (assume-push @p123 @t19) % 33.90/34.27 (step @p95 :rule instantiate :premises (@p2) :args ((@list @t55 @t53 @t49))) % 33.90/34.27 (step-pop @p124 :rule scope :premises (@p95)) % 33.90/34.27 (step @p96 :rule process_scope :premises (@p124) :args (@t89)) % 33.90/34.27 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 33.90/34.27 (step @p99 :rule implies_elim :premises (@p98)) % 33.90/34.27 (step @p100 :rule chain_m_resolution :premises (@p99 @p2) :args (@t88 @t71 @t72)) % 33.90/34.27 (step @p101 :rule instantiate :premises (@p100) :args (@t67)) % 33.90/34.27 (step @p102 :rule bool-double-not-elim :args (@t77)) % 33.90/34.27 (step @p103 :rule refl :args (@t79)) % 33.90/34.27 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t79 (not @t78)))) % 33.90/34.27 (step @p105 :rule cnf_or_neg :args (@t79 0)) % 33.90/34.27 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 33.90/34.27 (step @p107 :rule reordering :premises (@p106) :args ((or @t77 @t79))) % 33.90/34.27 (step @p108 :rule chain_m_resolution :premises (@p107 @p77) :args (@t77 @t60 @t80)) % 33.90/34.27 (step @p109 :rule cnf_equiv_pos1 :args (@t92)) % 33.90/34.27 (step @p110 :rule reordering :premises (@p109) :args ((or @t78 @t91 (not @t92)))) % 33.90/34.27 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p101) :args (@t91 @t64 (@list @t77 @t92))) % 33.90/34.27 (step @p112 :rule cnf_or_neg :args (@t83 0)) % 33.90/34.27 (step @p113 :rule reordering :premises (@p112) :args ((or @t93 @t83))) % 33.90/34.27 (step @p114 :rule chain_m_resolution :premises (@p113 @p82) :args (@t93 @t60 @t87)) % 33.90/34.27 (step @p115 :rule cnf_or_pos :args (@t91)) % 33.90/34.27 (step @p116 :rule reordering :premises (@p115) :args ((or @t82 @t90 (not @t91)))) % 33.90/34.27 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p111) :args (@t90 @t75 (@list @t82 @t91))) % 33.90/34.27 (step @p118 :rule cnf_or_pos :args (@t95)) % 33.90/34.27 (step @p119 :rule reordering :premises (@p118) :args ((or @t94 @t81 (not @t95)))) % 33.90/34.27 (step @p120 false :rule chain_m_resolution :premises (@p119 @p117 @p85 @p53) :args (false (@list false true false) (@list @t90 @t81 @t95))) % 33.90/34.27 ) % 33.90/34.27 % SZS output end Proof % 33.90/34.27 % cvc5 exiting %------------------------------------------------------------------------------