%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO081+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:16:17 AM UTC 2026 % Result : Theorem 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO081+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n002.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:18:03 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.56 % SZS status Theorem % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.open (-> $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.35/0.56 (define @t2 () (@var "P" $$unsorted)) % 0.35/0.56 (define @t3 () (tptp.incident_c @t2 @t1)) % 0.35/0.56 (define @t4 () (@var "C1" $$unsorted)) % 0.35/0.56 (define @t5 () (tptp.incident_c @t2 @t4)) % 0.35/0.56 (define @t6 () (@list @t2)) % 0.35/0.56 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.35/0.56 (define @t8 () (tptp.part_of @t4 @t1)) % 0.35/0.56 (define @t9 () (= @t8 @t7)) % 0.35/0.56 (define @t10 () (@list @t1 @t4)) % 0.35/0.56 (define @t11 () (forall @t10 @t9)) % 0.35/0.56 (define @t12 () (@var "C2" $$unsorted)) % 0.35/0.56 (define @t13 () (@var "Q" $$unsorted)) % 0.35/0.56 (define @t14 () (tptp.incident_c @t13 @t4)) % 0.35/0.56 (define @t15 () (tptp.incident_c @t13 @t1)) % 0.35/0.56 (define @t16 () (@list @t13)) % 0.35/0.56 (define @t17 () (= @t1 (tptp.sum @t4 @t12))) % 0.35/0.56 (define @t18 () (tptp.part_of @t12 @t4)) % 0.35/0.56 (define @t19 () (tptp.part_of @t4 @t12)) % 0.35/0.56 (define @t20 () (tptp.part_of @t12 @t1)) % 0.35/0.56 (define @t21 () (@list @t4 @t12)) % 0.35/0.56 (define @t22 () (tptp.end_point @t2 @t1)) % 0.35/0.56 (define @t23 () (@list @t2 @t1)) % 0.35/0.56 (define @t24 () (tptp.inner_point @t2 @t1)) % 0.35/0.56 (define @t25 () (tptp.end_point @t13 @t4)) % 0.35/0.56 (define @t26 () (tptp.end_point @t13 @t1)) % 0.35/0.56 (define @t27 () (exists @t6 @t22)) % 0.35/0.56 (define @t28 () (tptp.closed @t1)) % 0.35/0.56 (define @t29 () (@list @t1)) % 0.35/0.56 (define @t30 () (@var "C3" $$unsorted)) % 0.35/0.56 (define @t31 () (tptp.part_of @t4 @t30)) % 0.35/0.56 (define @t32 () (tptp.part_of @t12 @t30)) % 0.35/0.56 (define @t33 () (tptp.meet @t2 @t4 @t12)) % 0.35/0.56 (define @t34 () (@list @t1 @t2)) % 0.35/0.56 (define @t35 () (@var "R" $$unsorted)) % 0.35/0.56 (define @t36 () (= @t2 @t13)) % 0.35/0.56 (define @t37 () (and @t19 @t32)) % 0.35/0.56 (define @t38 () (@list @t4 @t12 @t30)) % 0.35/0.56 (define @t39 () (forall @t38 (=> @t37 @t31))) % 0.35/0.56 (define @t40 () (not @t39)) % 0.35/0.56 (define @t41 () (not @t32)) % 0.35/0.56 (define @t42 () (not @t19)) % 0.35/0.56 (define @t43 () (or @t42 @t41 @t31)) % 0.35/0.56 (define @t44 () (forall @t38 @t43)) % 0.35/0.56 (define @t45 () (@quantifiers_skolemize @t44 0)) % 0.35/0.56 (define @t46 () (@quantifiers_skolemize @t44 2)) % 0.35/0.56 (define @t47 () (tptp.part_of @t45 @t46)) % 0.35/0.56 (define @t48 () (@quantifiers_skolemize @t44 1)) % 0.35/0.56 (define @t49 () (tptp.part_of @t48 @t46)) % 0.35/0.56 (define @t50 () (not @t49)) % 0.35/0.56 (define @t51 () (tptp.part_of @t45 @t48)) % 0.35/0.56 (define @t52 () (not @t51)) % 0.35/0.56 (define @t53 () (or @t52 @t50 @t47)) % 0.35/0.56 (define @t54 () (@list true)) % 0.35/0.56 (define @t55 () (@list @t53)) % 0.35/0.56 (define @t56 () (tptp.incident_c @t2 @t46)) % 0.35/0.56 (define @t57 () (not (tptp.incident_c @t2 @t45))) % 0.35/0.56 (define @t58 () (forall @t6 (or @t57 @t56))) % 0.35/0.56 (define @t59 () (= @t47 @t58)) % 0.35/0.56 (define @t60 () (not @t58)) % 0.35/0.56 (define @t61 () (@quantifiers_skolemize @t58 0)) % 0.35/0.56 (define @t62 () (tptp.incident_c @t61 @t46)) % 0.35/0.56 (define @t63 () (tptp.incident_c @t61 @t45)) % 0.35/0.56 (define @t64 () (not @t63)) % 0.35/0.56 (define @t65 () (or @t64 @t62)) % 0.35/0.56 (define @t66 () (@list @t65)) % 0.35/0.56 (define @t67 () (tptp.incident_c @t2 @t48)) % 0.35/0.56 (define @t68 () (forall @t6 (or (not @t67) @t56))) % 0.35/0.56 (define @t69 () (= @t49 @t68)) % 0.35/0.56 (define @t70 () (@list false false)) % 0.35/0.56 (define @t71 () (@list @t61)) % 0.35/0.56 (define @t72 () (forall @t6 (or @t57 @t67))) % 0.35/0.56 (define @t73 () (= @t51 @t72)) % 0.35/0.56 (define @t74 () (tptp.incident_c @t61 @t48)) % 0.35/0.56 (define @t75 () (or @t64 @t74)) % 0.35/0.56 (define @t76 () (not @t74)) % 0.35/0.56 (define @t77 () (or @t76 @t62)) % 0.35/0.56 (assume @p1 @t11) % 0.35/0.56 (assume @p2 (forall (@list @t1 @t4 @t12) (= @t17 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 0.35/0.56 (assume @p3 (forall @t23 (= @t22 (and @t3 (forall @t21 (=> (and @t8 @t20 @t5 (tptp.incident_c @t2 @t12)) (or @t19 @t18))))))) % 0.35/0.56 (assume @p4 (forall @t23 (= @t24 (and @t3 (not @t22))))) % 0.35/0.56 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t16 (=> (and @t15 @t14) (and @t26 @t25))))))) % 0.35/0.56 (assume @p6 (forall @t29 (= @t28 (not @t27)))) % 0.35/0.56 (assume @p7 (forall @t29 (= (tptp.open @t1) @t27))) % 0.35/0.56 (assume @p8 (forall @t10 (=> (and @t8 (not (= @t4 @t1))) (tptp.open @t4)))) % 0.35/0.56 (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 @t32 (tptp.part_of @t30 @t12) @t19 @t18 @t31 (tptp.part_of @t30 @t4))))) % 0.35/0.56 (assume @p10 (forall @t29 (exists @t6 @t24))) % 0.35/0.56 (assume @p11 (forall @t34 (=> @t24 (exists @t21 (and @t33 @t17))))) % 0.35/0.56 (assume @p12 (forall (@list @t1 @t2 @t13 @t35) (=> (and @t22 @t26 (tptp.end_point @t35 @t1)) (or @t36 (= @t2 @t35) (= @t13 @t35))))) % 0.35/0.56 (assume @p13 (forall @t34 (=> @t22 (exists @t16 (and @t26 (not @t36)))))) % 0.35/0.56 (assume @p14 (forall (@list @t1 @t4 @t12 @t2) (=> (and @t28 @t33 @t17) (forall @t16 (=> @t25 (tptp.meet @t13 @t4 @t12)))))) % 0.35/0.56 (assume @p15 (forall @t21 (=> (exists @t6 @t33) (exists @t29 @t17)))) % 0.35/0.56 (assume @p16 (forall @t10 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 0.35/0.56 (assume @p17 @t40) % 0.35/0.56 (assume @p18 true) % 0.35/0.56 (step @p19 :rule bool-impl-elim :args (@t5 @t3)) % 0.35/0.56 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 0.35/0.56 (step @p21 :rule refl :args (@t8)) % 0.35/0.56 (step @p22 :rule cong :premises (@p21 @p20) :args (@t9)) % 0.35/0.56 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 0.35/0.56 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.35/0.56 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t46 @t45))) % 0.35/0.56 (step @p26 :rule aci_norm :args ((= (or (or @t42 @t41) @t31) @t43))) % 0.35/0.56 (step @p27 :rule refl :args (@t31)) % 0.35/0.56 (step @p28 :rule bool-and-de-morgan :args (@t19 @t32 true)) % 0.35/0.56 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t37) @t31))) % 0.35/0.56 (step @p30 :rule trans :premises (@p29 @p26)) % 0.35/0.56 (step @p31 :rule bool-impl-elim :args (@t37 @t31)) % 0.35/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.35/0.56 (step @p33 :rule cong :premises (@p32) :args (@t39)) % 0.35/0.56 (step @p34 :rule cong :premises (@p33) :args (@t40)) % 0.35/0.56 (step @p35 :rule eq_resolve :premises (@p17 @p34)) % 0.35/0.56 (step @p36 :rule skolemize :premises (@p35)) % 0.35/0.56 (step @p37 :rule cnf_or_neg :args (@t53 2)) % 0.35/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p36) :args ((not @t47) @t54 @t55)) % 0.35/0.56 (step @p39 :rule cnf_equiv_pos2 :args (@t59)) % 0.35/0.56 (step @p40 :rule reordering :premises (@p39) :args ((or @t47 @t60 (not @t59)))) % 0.35/0.56 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p25) :args (@t60 (@list true false) (@list @t47 @t59))) % 0.35/0.56 (step @p42 :rule skolemize :premises (@p41)) % 0.35/0.56 (step @p43 :rule cnf_or_neg :args (@t65 1)) % 0.35/0.56 (step @p44 :rule chain_m_resolution :premises (@p43 @p42) :args ((not @t62) @t54 @t66)) % 0.35/0.56 (step @p45 :rule instantiate :premises (@p24) :args ((@list @t46 @t48))) % 0.35/0.56 (step @p46 :rule bool-double-not-elim :args (@t49)) % 0.35/0.56 (step @p47 :rule refl :args (@t53)) % 0.35/0.56 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t53 (not @t50)))) % 0.35/0.56 (step @p49 :rule cnf_or_neg :args (@t53 1)) % 0.35/0.56 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.35/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t49 @t53))) % 0.35/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p36) :args (@t49 @t54 @t55)) % 0.35/0.56 (step @p53 :rule cnf_equiv_pos1 :args (@t69)) % 0.35/0.56 (step @p54 :rule reordering :premises (@p53) :args ((or @t50 @t68 (not @t69)))) % 0.35/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p45) :args (@t68 @t70 (@list @t49 @t69))) % 0.35/0.56 (step @p56 :rule instantiate :premises (@p55) :args (@t71)) % 0.35/0.56 (step @p57 :rule instantiate :premises (@p24) :args ((@list @t48 @t45))) % 0.35/0.56 (step @p58 :rule bool-double-not-elim :args (@t51)) % 0.35/0.56 (step @p59 :rule nary_cong :premises (@p47 @p58) :args ((or @t53 (not @t52)))) % 0.35/0.56 (step @p60 :rule cnf_or_neg :args (@t53 0)) % 0.35/0.56 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.35/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t51 @t53))) % 0.35/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p36) :args (@t51 @t54 @t55)) % 0.35/0.56 (step @p64 :rule cnf_equiv_pos1 :args (@t73)) % 0.35/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t52 @t72 (not @t73)))) % 0.35/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p57) :args (@t72 @t70 (@list @t51 @t73))) % 0.35/0.56 (step @p67 :rule instantiate :premises (@p66) :args (@t71)) % 0.35/0.56 (step @p68 :rule bool-double-not-elim :args (@t63)) % 0.35/0.56 (step @p69 :rule refl :args (@t65)) % 0.35/0.56 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t65 (not @t64)))) % 0.35/0.57 (step @p71 :rule cnf_or_neg :args (@t65 0)) % 0.35/0.57 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.35/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t63 @t65))) % 0.35/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p42) :args (@t63 @t54 @t66)) % 0.35/0.57 (step @p75 :rule cnf_or_pos :args (@t75)) % 0.35/0.57 (step @p76 :rule reordering :premises (@p75) :args ((or @t64 @t74 (not @t75)))) % 0.35/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p67) :args (@t74 @t70 (@list @t63 @t75))) % 0.35/0.57 (step @p78 :rule cnf_or_pos :args (@t77)) % 0.35/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t62 @t76 (not @t77)))) % 0.35/0.57 (step @p80 false :rule chain_m_resolution :premises (@p79 @p77 @p56 @p44) :args (false (@list false false true) (@list @t74 @t77 @t62))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------