%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO082+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 : n028.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 15.98s 16.26s % Output : Proof 15.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO082+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n028.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon Jun 1 23:18:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.98/16.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.98/16.26 --- Run --no-e-matching --full-saturate-quant at 6... % 15.98/16.26 % SZS status Theorem % 15.98/16.26 % SZS output start Proof % 15.98/16.26 ( % 15.98/16.26 (declare-sort $$unsorted 0) % 15.98/16.26 (declare-const tptp.open (-> $$unsorted Bool)) % 15.98/16.26 (declare-const tptp.closed (-> $$unsorted Bool)) % 15.98/16.26 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.98/16.26 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 15.98/16.26 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 15.98/16.26 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 15.98/16.26 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 15.98/16.26 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 15.98/16.26 (define @t1 () (@var "C" $$unsorted)) % 15.98/16.26 (define @t2 () (@var "P" $$unsorted)) % 15.98/16.26 (define @t3 () (tptp.incident_c @t2 @t1)) % 15.98/16.26 (define @t4 () (@var "C1" $$unsorted)) % 15.98/16.26 (define @t5 () (tptp.incident_c @t2 @t4)) % 15.98/16.26 (define @t6 () (@list @t2)) % 15.98/16.26 (define @t7 () (forall @t6 (=> @t5 @t3))) % 15.98/16.26 (define @t8 () (tptp.part_of @t4 @t1)) % 15.98/16.26 (define @t9 () (= @t8 @t7)) % 15.98/16.26 (define @t10 () (@list @t1 @t4)) % 15.98/16.26 (define @t11 () (forall @t10 @t9)) % 15.98/16.26 (define @t12 () (@var "C2" $$unsorted)) % 15.98/16.26 (define @t13 () (@var "Q" $$unsorted)) % 15.98/16.26 (define @t14 () (tptp.incident_c @t13 @t4)) % 15.98/16.26 (define @t15 () (tptp.incident_c @t13 @t1)) % 15.98/16.26 (define @t16 () (@list @t13)) % 15.98/16.26 (define @t17 () (= @t1 (tptp.sum @t4 @t12))) % 15.98/16.26 (define @t18 () (tptp.part_of @t12 @t4)) % 15.98/16.26 (define @t19 () (tptp.part_of @t4 @t12)) % 15.98/16.26 (define @t20 () (tptp.part_of @t12 @t1)) % 15.98/16.26 (define @t21 () (@list @t4 @t12)) % 15.98/16.26 (define @t22 () (tptp.end_point @t2 @t1)) % 15.98/16.26 (define @t23 () (@list @t2 @t1)) % 15.98/16.26 (define @t24 () (tptp.inner_point @t2 @t1)) % 15.98/16.26 (define @t25 () (tptp.end_point @t13 @t4)) % 15.98/16.26 (define @t26 () (tptp.end_point @t13 @t1)) % 15.98/16.26 (define @t27 () (exists @t6 @t22)) % 15.98/16.26 (define @t28 () (tptp.closed @t1)) % 15.98/16.26 (define @t29 () (@list @t1)) % 15.98/16.26 (define @t30 () (@var "C3" $$unsorted)) % 15.98/16.26 (define @t31 () (tptp.meet @t2 @t4 @t12)) % 15.98/16.26 (define @t32 () (@list @t1 @t2)) % 15.98/16.26 (define @t33 () (@var "R" $$unsorted)) % 15.98/16.26 (define @t34 () (= @t2 @t13)) % 15.98/16.26 (define @t35 () (= @t1 @t4)) % 15.98/16.26 (define @t36 () (forall @t6 (= @t3 @t5))) % 15.98/16.26 (define @t37 () (=> @t36 @t35)) % 15.98/16.26 (define @t38 () (forall @t10 @t37)) % 15.98/16.26 (define @t39 () (= @t4 @t12)) % 15.98/16.26 (define @t40 () (and @t19 @t18)) % 15.98/16.26 (define @t41 () (forall @t21 (=> @t40 @t39))) % 15.98/16.26 (define @t42 () (not @t41)) % 15.98/16.26 (define @t43 () (not @t18)) % 15.98/16.26 (define @t44 () (not @t19)) % 15.98/16.26 (define @t45 () (or @t44 @t43 @t39)) % 15.98/16.26 (define @t46 () (forall @t21 @t45)) % 15.98/16.26 (define @t47 () (@quantifiers_skolemize @t46 0)) % 15.98/16.26 (define @t48 () (@quantifiers_skolemize @t46 1)) % 15.98/16.26 (define @t49 () (@list @t48 @t47)) % 15.98/16.26 (define @t50 () (tptp.part_of @t47 @t48)) % 15.98/16.26 (define @t51 () (= @t47 @t48)) % 15.98/16.26 (define @t52 () (tptp.part_of @t48 @t47)) % 15.98/16.26 (define @t53 () (not @t52)) % 15.98/16.26 (define @t54 () (not @t50)) % 15.98/16.26 (define @t55 () (or @t54 @t53 @t51)) % 15.98/16.26 (define @t56 () (@list true)) % 15.98/16.26 (define @t57 () (@list @t55)) % 15.98/16.26 (define @t58 () (tptp.incident_c @t2 @t48)) % 15.98/16.26 (define @t59 () (tptp.incident_c @t2 @t47)) % 15.98/16.26 (define @t60 () (forall @t6 (or (not @t59) @t58))) % 15.98/16.26 (define @t61 () (= @t50 @t60)) % 15.98/16.26 (define @t62 () (@list false false)) % 15.98/16.26 (define @t63 () (forall @t6 (= @t5 @t3))) % 15.98/16.26 (define @t64 () (forall @t6 (= @t59 @t58))) % 15.98/16.26 (define @t65 () (not @t64)) % 15.98/16.26 (define @t66 () (or @t65 (= @t48 @t47))) % 15.98/16.26 (define @t67 () (forall @t10 (or (not @t63) @t35))) % 15.98/16.26 (define @t68 () (or @t65 @t51)) % 15.98/16.26 (define @t69 () (@list true false)) % 15.98/16.26 (define @t70 () (forall @t16 (= (tptp.incident_c @t13 @t48) (tptp.incident_c @t13 @t47)))) % 15.98/16.26 (define @t71 () (not @t70)) % 15.98/16.26 (define @t72 () (@quantifiers_skolemize @t70 0)) % 15.98/16.26 (define @t73 () (tptp.incident_c @t72 @t47)) % 15.98/16.26 (define @t74 () (tptp.incident_c @t72 @t48)) % 15.98/16.26 (define @t75 () (= @t74 @t73)) % 15.98/16.26 (define @t76 () (forall @t6 (or (not @t58) @t59))) % 15.98/16.26 (define @t77 () (= @t52 @t76)) % 15.98/16.26 (define @t78 () (@list @t72)) % 15.98/16.26 (define @t79 () (not @t74)) % 15.98/16.26 (define @t80 () (or @t79 @t73)) % 15.98/16.26 (define @t81 () (not @t73)) % 15.98/16.26 (define @t82 () (or @t81 @t74)) % 15.98/16.26 (define @t83 () (not @t82)) % 15.98/16.26 (assume @p1 @t11) % 15.98/16.26 (assume @p2 (forall (@list @t1 @t4 @t12) (= @t17 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 15.98/16.26 (assume @p3 (forall @t23 (= @t22 (and @t3 (forall @t21 (=> (and @t8 @t20 @t5 (tptp.incident_c @t2 @t12)) (or @t19 @t18))))))) % 15.98/16.26 (assume @p4 (forall @t23 (= @t24 (and @t3 (not @t22))))) % 15.98/16.26 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t16 (=> (and @t15 @t14) (and @t26 @t25))))))) % 15.98/16.26 (assume @p6 (forall @t29 (= @t28 (not @t27)))) % 15.98/16.26 (assume @p7 (forall @t29 (= (tptp.open @t1) @t27))) % 15.98/16.26 (assume @p8 (forall @t10 (=> (and @t8 (not (= @t4 @t1))) (tptp.open @t4)))) % 15.98/16.26 (assume @p9 (forall (@list @t1 @t4 @t12 @t30) (=> (and @t8 @t20 (tptp.part_of @t30 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t12) (tptp.end_point @t2 @t30)))) (or (tptp.part_of @t12 @t30) (tptp.part_of @t30 @t12) @t19 @t18 (tptp.part_of @t4 @t30) (tptp.part_of @t30 @t4))))) % 15.98/16.26 (assume @p10 (forall @t29 (exists @t6 @t24))) % 15.98/16.26 (assume @p11 (forall @t32 (=> @t24 (exists @t21 (and @t31 @t17))))) % 15.98/16.26 (assume @p12 (forall (@list @t1 @t2 @t13 @t33) (=> (and @t22 @t26 (tptp.end_point @t33 @t1)) (or @t34 (= @t2 @t33) (= @t13 @t33))))) % 15.98/16.26 (assume @p13 (forall @t32 (=> @t22 (exists @t16 (and @t26 (not @t34)))))) % 15.98/16.26 (assume @p14 (forall (@list @t1 @t4 @t12 @t2) (=> (and @t28 @t31 @t17) (forall @t16 (=> @t25 (tptp.meet @t13 @t4 @t12)))))) % 15.98/16.26 (assume @p15 (forall @t21 (=> (exists @t6 @t31) (exists @t29 @t17)))) % 15.98/16.26 (assume @p16 @t38) % 15.98/16.26 (assume @p17 @t42) % 15.98/16.26 (assume @p18 true) % 15.98/16.26 (step @p19 :rule bool-impl-elim :args (@t5 @t3)) % 15.98/16.26 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 15.98/16.26 (step @p21 :rule refl :args (@t8)) % 15.98/16.26 (step @p22 :rule cong :premises (@p21 @p20) :args (@t9)) % 15.98/16.26 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 15.98/16.26 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 15.98/16.26 (step @p25 :rule instantiate :premises (@p24) :args (@t49)) % 15.98/16.26 (step @p26 :rule aci_norm :args ((= (or (or @t44 @t43) @t39) @t45))) % 15.98/16.26 (step @p27 :rule refl :args (@t39)) % 15.98/16.26 (step @p28 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 15.98/16.26 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t40) @t39))) % 15.98/16.26 (step @p30 :rule trans :premises (@p29 @p26)) % 15.98/16.26 (step @p31 :rule bool-impl-elim :args (@t40 @t39)) % 15.98/16.26 (step @p32 :rule trans :premises (@p31 @p30)) % 15.98/16.26 (step @p33 :rule cong :premises (@p32) :args (@t41)) % 15.98/16.26 (step @p34 :rule cong :premises (@p33) :args (@t42)) % 15.98/16.26 (step @p35 :rule eq_resolve :premises (@p17 @p34)) % 15.98/16.26 (step @p36 :rule skolemize :premises (@p35)) % 15.98/16.26 (step @p37 :rule bool-double-not-elim :args (@t50)) % 15.98/16.26 (step @p38 :rule refl :args (@t55)) % 15.98/16.26 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t55 (not @t54)))) % 15.98/16.26 (step @p40 :rule cnf_or_neg :args (@t55 0)) % 15.98/16.26 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 15.98/16.26 (step @p42 :rule reordering :premises (@p41) :args ((or @t50 @t55))) % 15.98/16.26 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t50 @t56 @t57)) % 15.98/16.26 (step @p44 :rule cnf_equiv_pos1 :args (@t61)) % 15.98/16.26 (step @p45 :rule reordering :premises (@p44) :args ((or @t54 @t60 (not @t61)))) % 15.98/16.26 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p25) :args (@t60 @t62 (@list @t50 @t61))) % 15.98/16.26 (step @p47 :rule bool-impl-elim :args (@t63 @t35)) % 15.98/16.26 (step @p48 :rule cong :premises (@p47) :args ((forall @t10 (=> @t63 @t35)))) % 15.98/16.26 (step @p49 :rule refl :args (@t35)) % 15.98/16.26 (step @p50 :rule eq-symm :args (@t3 @t5)) % 15.98/16.26 (step @p51 :rule cong :premises (@p50) :args (@t36)) % 15.98/16.26 (step @p52 :rule cong :premises (@p51 @p49) :args (@t37)) % 15.98/16.26 (step @p53 :rule cong :premises (@p52) :args (@t38)) % 15.98/16.26 (step @p54 :rule trans :premises (@p53 @p48)) % 15.98/16.26 (step @p55 :rule eq_resolve :premises (@p16 @p54)) % 15.98/16.26 (step @p56 :rule eq-symm :args (@t48 @t47)) % 15.98/16.26 (step @p57 :rule refl :args (@t65)) % 15.98/16.26 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t66)) % 15.98/16.26 (step @p59 :rule refl :args (@t67)) % 15.98/16.26 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t67 @t66))) % 15.98/16.26 (assume-push @p108 @t67) % 15.98/16.26 (step @p62 :rule instantiate :premises (@p55) :args (@t49)) % 15.98/16.26 (step-pop @p109 :rule scope :premises (@p62)) % 15.98/16.26 (step @p63 :rule process_scope :premises (@p109) :args (@t66)) % 15.98/16.26 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 15.98/16.26 (step @p66 :rule implies_elim :premises (@p65)) % 15.98/16.26 (step @p67 :rule chain_m_resolution :premises (@p66 @p55) :args (@t68 (@list false) (@list @t67))) % 15.98/16.26 (step @p68 :rule cnf_or_neg :args (@t55 2)) % 15.98/16.26 (step @p69 :rule chain_m_resolution :premises (@p68 @p36) :args ((not @t51) @t56 @t57)) % 15.98/16.26 (step @p70 :rule cnf_or_pos :args (@t68)) % 15.98/16.26 (step @p71 :rule reordering :premises (@p70) :args ((or @t51 @t65 (not @t68)))) % 15.98/16.26 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p67) :args (@t65 @t69 (@list @t51 @t68))) % 15.98/16.26 (step @p73 :rule eq-symm :args (@t58 @t59)) % 15.98/16.26 (step @p74 :rule cong :premises (@p73) :args ((forall @t6 (= @t58 @t59)))) % 15.98/16.26 (step @p75 :rule alpha_equiv :args (@t70 (@list @t13) (@list @t2))) % 15.98/16.26 (step @p76 :rule trans :premises (@p75 @p74)) % 15.98/16.26 (step @p77 :rule equiv_elim1 :premises (@p76)) % 15.98/16.26 (step @p78 :rule reordering :premises (@p77) :args ((or @t64 @t71))) % 15.98/16.26 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t71 @t56 (@list @t64))) % 15.98/16.26 (step @p80 :rule skolemize :premises (@p79)) % 15.98/16.26 (step @p81 :rule cnf_equiv_neg2 :args (@t75)) % 15.98/16.26 (step @p82 :rule instantiate :premises (@p24) :args ((@list @t47 @t48))) % 15.98/16.26 (step @p83 :rule bool-double-not-elim :args (@t52)) % 15.98/16.26 (step @p84 :rule nary_cong :premises (@p38 @p83) :args ((or @t55 (not @t53)))) % 15.98/16.26 (step @p85 :rule cnf_or_neg :args (@t55 1)) % 15.98/16.26 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 15.98/16.26 (step @p87 :rule reordering :premises (@p86) :args ((or @t52 @t55))) % 15.98/16.26 (step @p88 :rule chain_m_resolution :premises (@p87 @p36) :args (@t52 @t56 @t57)) % 15.98/16.26 (step @p89 :rule cnf_equiv_pos1 :args (@t77)) % 15.98/16.26 (step @p90 :rule reordering :premises (@p89) :args ((or @t53 @t76 (not @t77)))) % 15.98/16.26 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p82) :args (@t76 @t62 (@list @t52 @t77))) % 15.98/16.26 (step @p92 :rule instantiate :premises (@p91) :args (@t78)) % 15.98/16.26 (step @p93 :rule cnf_or_pos :args (@t80)) % 15.98/16.26 (step @p94 :rule reordering :premises (@p93) :args ((or @t73 @t79 (not @t80)))) % 15.98/16.26 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p81 @p80) :args (@t79 (@list false true true) (@list @t80 @t73 @t75))) % 15.98/16.26 (step @p96 :rule cnf_equiv_neg1 :args (@t75)) % 15.98/16.26 (step @p97 :rule reordering :premises (@p96) :args ((or @t74 @t73 @t75))) % 15.98/16.26 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p80) :args (@t73 (@list true true) (@list @t74 @t75))) % 15.98/16.26 (step @p99 :rule cnf_or_pos :args (@t82)) % 15.98/16.26 (step @p100 :rule reordering :premises (@p99) :args ((or @t74 @t81 @t83))) % 15.98/16.26 (step @p101 :rule chain_m_resolution :premises (@p100 @p95 @p98) :args (@t83 @t69 (@list @t74 @t73))) % 15.98/16.26 (assume-push @p110 @t60) % 15.98/16.26 (step @p103 :rule instantiate :premises (@p46) :args (@t78)) % 15.98/16.26 (step-pop @p111 :rule scope :premises (@p103)) % 15.98/16.26 (step @p104 :rule process_scope :premises (@p111) :args (@t82)) % 15.98/16.26 (step @p106 :rule implies_elim :premises (@p104)) % 15.98/16.26 (step @p107 false :rule chain_m_resolution :premises (@p106 @p101 @p46) :args (false @t69 (@list @t82 @t60))) % 15.98/16.26 ) % 15.98/16.26 % SZS output end Proof % 15.98/16.26 % cvc5 exiting %------------------------------------------------------------------------------