%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO195+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:16:39 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO195+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:38:16 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t2 () (@list @t1)) % 0.39/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.39/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.39/0.58 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.39/0.58 (define @t7 () (@list @t1 @t4 @t3)) % 0.39/0.58 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.39/0.58 (define @t9 () (tptp.convergent_lines @t4 @t3)) % 0.39/0.58 (define @t10 () (tptp.convergent_lines @t1 @t3)) % 0.39/0.58 (define @t11 () (or @t10 @t9)) % 0.39/0.58 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.39/0.58 (define @t13 () (forall @t7 (=> @t12 @t11))) % 0.39/0.58 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.39/0.58 (define @t15 () (@list @t1 @t4)) % 0.39/0.58 (define @t16 () (tptp.intersection_point @t1 @t4)) % 0.39/0.58 (define @t17 () (not (tptp.apart_point_and_line @t16 @t1))) % 0.39/0.58 (define @t18 () (forall @t15 (=> @t12 @t17))) % 0.39/0.58 (define @t19 () (not (tptp.apart_point_and_line @t16 @t4))) % 0.39/0.58 (define @t20 () (forall @t15 (=> @t12 @t19))) % 0.39/0.58 (define @t21 () (@var "V" $$unsorted)) % 0.39/0.58 (define @t22 () (tptp.apart_point_and_line @t4 @t21)) % 0.39/0.58 (define @t23 () (@var "U" $$unsorted)) % 0.39/0.58 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.39/0.58 (define @t25 () (tptp.apart_point_and_line @t1 @t21)) % 0.39/0.58 (define @t26 () (tptp.apart_point_and_line @t1 @t23)) % 0.39/0.58 (define @t27 () (or @t26 @t25 @t24 @t22)) % 0.39/0.58 (define @t28 () (tptp.distinct_lines @t23 @t21)) % 0.39/0.58 (define @t29 () (and @t6 @t28)) % 0.39/0.58 (define @t30 () (@list @t1 @t4 @t23 @t21)) % 0.39/0.58 (define @t31 () (forall @t30 (=> @t29 @t27))) % 0.39/0.58 (define @t32 () (tptp.apart_point_and_line @t3 @t4)) % 0.39/0.58 (define @t33 () (or @t5 @t32)) % 0.39/0.58 (define @t34 () (tptp.apart_point_and_line @t1 @t4)) % 0.39/0.58 (define @t35 () (forall @t7 (=> @t34 @t33))) % 0.39/0.58 (define @t36 () (or @t8 @t10)) % 0.39/0.58 (define @t37 () (forall @t7 (=> @t12 @t36))) % 0.39/0.58 (define @t38 () (tptp.apart_point_and_line (tptp.intersection_point @t4 @t1) @t3)) % 0.39/0.58 (define @t39 () (tptp.apart_point_and_line @t16 @t3)) % 0.39/0.58 (define @t40 () (=> @t39 @t38)) % 0.39/0.58 (define @t41 () (tptp.convergent_lines @t3 @t4)) % 0.39/0.58 (define @t42 () (and @t12 @t41 @t10)) % 0.39/0.58 (define @t43 () (forall @t7 (=> @t42 @t40))) % 0.39/0.58 (define @t44 () (not @t43)) % 0.39/0.58 (define @t45 () (not @t28)) % 0.39/0.58 (define @t46 () (not @t6)) % 0.39/0.58 (define @t47 () (or @t46 @t45 @t26 @t25 @t24 @t22)) % 0.39/0.58 (define @t48 () (not @t34)) % 0.39/0.58 (define @t49 () (not @t39)) % 0.39/0.58 (define @t50 () (not @t10)) % 0.39/0.58 (define @t51 () (not @t41)) % 0.39/0.58 (define @t52 () (not @t12)) % 0.39/0.58 (define @t53 () (or @t52 @t51 @t50 @t49 @t38)) % 0.39/0.58 (define @t54 () (forall @t7 @t53)) % 0.39/0.58 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.39/0.58 (define @t56 () (@quantifiers_skolemize @t54 1)) % 0.39/0.58 (define @t57 () (tptp.intersection_point @t56 @t55)) % 0.39/0.58 (define @t58 () (@quantifiers_skolemize @t54 2)) % 0.39/0.58 (define @t59 () (tptp.intersection_point @t55 @t56)) % 0.39/0.58 (define @t60 () (or @t52 @t51 @t50)) % 0.39/0.58 (define @t61 () (tptp.apart_point_and_line @t57 @t58)) % 0.39/0.58 (define @t62 () (tptp.apart_point_and_line @t59 @t58)) % 0.39/0.58 (define @t63 () (not @t62)) % 0.39/0.58 (define @t64 () (tptp.convergent_lines @t55 @t56)) % 0.39/0.58 (define @t65 () (not @t64)) % 0.39/0.58 (define @t66 () (or @t65 (not (tptp.convergent_lines @t58 @t56)) (not (tptp.convergent_lines @t55 @t58)) @t63 @t61)) % 0.39/0.58 (define @t67 () (@list true)) % 0.39/0.58 (define @t68 () (@list @t66)) % 0.39/0.58 (define @t69 () (tptp.distinct_points @t59 @t57)) % 0.39/0.58 (define @t70 () (or @t63 @t69 @t61)) % 0.39/0.58 (define @t71 () (@list false true false)) % 0.39/0.58 (define @t72 () (@list @t55 @t56 @t55)) % 0.39/0.58 (define @t73 () (tptp.convergent_lines @t55 @t55)) % 0.39/0.58 (define @t74 () (tptp.distinct_lines @t56 @t55)) % 0.39/0.58 (define @t75 () (or @t65 @t74 @t73)) % 0.39/0.58 (define @t76 () (@list @t56 @t55)) % 0.39/0.58 (define @t77 () (tptp.convergent_lines @t56 @t55)) % 0.39/0.58 (define @t78 () (or @t65 @t73 @t77)) % 0.39/0.58 (define @t79 () (tptp.apart_point_and_line @t57 @t55)) % 0.39/0.58 (define @t80 () (not @t79)) % 0.39/0.58 (define @t81 () (not @t77)) % 0.39/0.58 (define @t82 () (or @t81 @t80)) % 0.39/0.58 (define @t83 () (@list false false)) % 0.39/0.58 (define @t84 () (@list @t55 @t56)) % 0.39/0.58 (define @t85 () (tptp.apart_point_and_line @t59 @t56)) % 0.39/0.58 (define @t86 () (not @t85)) % 0.39/0.58 (define @t87 () (or @t65 @t86)) % 0.39/0.58 (define @t88 () (tptp.apart_point_and_line @t57 @t56)) % 0.39/0.58 (define @t89 () (not @t88)) % 0.39/0.58 (define @t90 () (or @t81 @t89)) % 0.39/0.58 (define @t91 () (tptp.apart_point_and_line @t59 @t55)) % 0.39/0.58 (define @t92 () (not @t91)) % 0.39/0.58 (define @t93 () (or @t65 @t92)) % 0.39/0.58 (define @t94 () (not @t74)) % 0.39/0.58 (define @t95 () (not @t69)) % 0.39/0.58 (define @t96 () (or @t95 @t94 @t85 @t91 @t88 @t79)) % 0.39/0.58 (define @t97 () (not @t96)) % 0.39/0.58 (define @t98 () (forall @t30 @t47)) % 0.39/0.58 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.39/0.58 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.58 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.39/0.58 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.39/0.58 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.39/0.58 (assume @p6 @t13) % 0.39/0.58 (assume @p7 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t1 @t14))))) % 0.39/0.58 (assume @p8 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t4 @t14))))) % 0.39/0.58 (assume @p9 @t18) % 0.39/0.58 (assume @p10 @t20) % 0.39/0.58 (assume @p11 @t31) % 0.39/0.58 (assume @p12 @t35) % 0.39/0.58 (assume @p13 (forall @t7 (=> @t34 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.39/0.58 (assume @p14 @t37) % 0.39/0.58 (assume @p15 @t44) % 0.39/0.58 (assume @p16 true) % 0.39/0.58 (step @p17 :rule aci_norm :args ((= (or (or @t46 @t45) @t27) @t47))) % 0.39/0.58 (step @p18 :rule refl :args (@t27)) % 0.39/0.58 (step @p19 :rule bool-and-de-morgan :args (@t6 @t28 true)) % 0.39/0.58 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t29) @t27))) % 0.39/0.58 (step @p21 :rule trans :premises (@p20 @p17)) % 0.39/0.58 (step @p22 :rule bool-impl-elim :args (@t29 @t27)) % 0.39/0.58 (step @p23 :rule trans :premises (@p22 @p21)) % 0.39/0.58 (step @p24 :rule cong :premises (@p23) :args (@t31)) % 0.39/0.58 (step @p25 :rule eq_resolve :premises (@p11 @p24)) % 0.39/0.58 (step @p26 :rule aci_norm :args ((= (or @t48 @t33) (or @t48 @t5 @t32)))) % 0.39/0.58 (step @p27 :rule bool-impl-elim :args (@t34 @t33)) % 0.39/0.58 (step @p28 :rule trans :premises (@p27 @p26)) % 0.39/0.58 (step @p29 :rule cong :premises (@p28) :args (@t35)) % 0.39/0.58 (step @p30 :rule eq_resolve :premises (@p12 @p29)) % 0.39/0.58 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t59 @t58 @t57))) % 0.39/0.58 (step @p32 :rule aci_norm :args ((= (or @t60 (or @t49 @t38)) @t53))) % 0.39/0.58 (step @p33 :rule bool-impl-elim :args (@t39 @t38)) % 0.39/0.58 (step @p34 :rule aci_norm :args ((= (or @t52 (or @t51 @t50)) @t60))) % 0.39/0.58 (step @p35 :rule bool-and-de-morgan :args (@t41 @t10 true)) % 0.39/0.58 (step @p36 :rule refl :args (@t52)) % 0.39/0.58 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t52 (not (and @t41 @t10))))) % 0.39/0.58 (step @p38 :rule bool-and-de-morgan :args (@t12 @t41 (and @t10))) % 0.39/0.58 (step @p39 :rule trans :premises (@p38 @p37)) % 0.39/0.58 (step @p40 :rule trans :premises (@p39 @p34)) % 0.39/0.58 (step @p41 :rule nary_cong :premises (@p40 @p33) :args ((or (not @t42) @t40))) % 0.39/0.58 (step @p42 :rule trans :premises (@p41 @p32)) % 0.39/0.58 (step @p43 :rule bool-impl-elim :args (@t42 @t40)) % 0.39/0.58 (step @p44 :rule trans :premises (@p43 @p42)) % 0.39/0.58 (step @p45 :rule cong :premises (@p44) :args (@t43)) % 0.39/0.58 (step @p46 :rule cong :premises (@p45) :args (@t44)) % 0.39/0.58 (step @p47 :rule eq_resolve :premises (@p15 @p46)) % 0.39/0.58 (step @p48 :rule skolemize :premises (@p47)) % 0.39/0.58 (step @p49 :rule cnf_or_neg :args (@t66 4)) % 0.39/0.58 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args ((not @t61) @t67 @t68)) % 0.39/0.58 (step @p51 :rule bool-double-not-elim :args (@t62)) % 0.39/0.58 (step @p52 :rule refl :args (@t66)) % 0.39/0.58 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t66 (not @t63)))) % 0.39/0.58 (step @p54 :rule cnf_or_neg :args (@t66 3)) % 0.39/0.58 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.39/0.58 (step @p56 :rule reordering :premises (@p55) :args ((or @t62 @t66))) % 0.39/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p48) :args (@t62 @t67 @t68)) % 0.39/0.58 (step @p58 :rule cnf_or_pos :args (@t70)) % 0.39/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t63 @t61 @t69 (not @t70)))) % 0.39/0.58 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p50 @p31) :args (@t69 @t71 (@list @t62 @t61 @t70))) % 0.39/0.58 (step @p61 :rule aci_norm :args ((= (or @t52 @t36) (or @t52 @t8 @t10)))) % 0.39/0.58 (step @p62 :rule bool-impl-elim :args (@t12 @t36)) % 0.39/0.58 (step @p63 :rule trans :premises (@p62 @p61)) % 0.39/0.58 (step @p64 :rule cong :premises (@p63) :args (@t37)) % 0.39/0.58 (step @p65 :rule eq_resolve :premises (@p14 @p64)) % 0.39/0.58 (step @p66 :rule instantiate :premises (@p65) :args (@t72)) % 0.39/0.58 (step @p67 :rule instantiate :premises (@p3) :args ((@list @t55))) % 0.39/0.58 (step @p68 :rule bool-double-not-elim :args (@t64)) % 0.39/0.58 (step @p69 :rule nary_cong :premises (@p52 @p68) :args ((or @t66 (not @t65)))) % 0.39/0.58 (step @p70 :rule cnf_or_neg :args (@t66 0)) % 0.39/0.58 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.39/0.58 (step @p72 :rule reordering :premises (@p71) :args ((or @t64 @t66))) % 0.39/0.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p48) :args (@t64 @t67 @t68)) % 0.39/0.58 (step @p74 :rule cnf_or_pos :args (@t75)) % 0.39/0.58 (step @p75 :rule reordering :premises (@p74) :args ((or @t65 @t73 @t74 (not @t75)))) % 0.39/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p67 @p66) :args (@t74 @t71 (@list @t64 @t73 @t75))) % 0.39/0.58 (step @p77 :rule bool-impl-elim :args (@t12 @t19)) % 0.39/0.58 (step @p78 :rule cong :premises (@p77) :args (@t20)) % 0.39/0.58 (step @p79 :rule eq_resolve :premises (@p10 @p78)) % 0.39/0.58 (step @p80 :rule instantiate :premises (@p79) :args (@t76)) % 0.39/0.58 (step @p81 :rule aci_norm :args ((= (or @t52 @t11) (or @t52 @t10 @t9)))) % 0.39/0.58 (step @p82 :rule bool-impl-elim :args (@t12 @t11)) % 0.39/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.39/0.58 (step @p84 :rule cong :premises (@p83) :args (@t13)) % 0.39/0.58 (step @p85 :rule eq_resolve :premises (@p6 @p84)) % 0.39/0.58 (step @p86 :rule instantiate :premises (@p85) :args (@t72)) % 0.39/0.58 (step @p87 :rule cnf_or_pos :args (@t78)) % 0.39/0.58 (step @p88 :rule reordering :premises (@p87) :args ((or @t65 @t77 @t73 (not @t78)))) % 0.39/0.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p73 @p67 @p86) :args (@t77 @t71 (@list @t64 @t73 @t78))) % 0.39/0.58 (step @p90 :rule cnf_or_pos :args (@t82)) % 0.39/0.58 (step @p91 :rule reordering :premises (@p90) :args ((or @t81 @t80 (not @t82)))) % 0.39/0.58 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p80) :args (@t80 @t83 (@list @t77 @t82))) % 0.39/0.58 (step @p93 :rule instantiate :premises (@p79) :args (@t84)) % 0.39/0.58 (step @p94 :rule cnf_or_pos :args (@t87)) % 0.39/0.58 (step @p95 :rule reordering :premises (@p94) :args ((or @t65 @t86 (not @t87)))) % 0.39/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p73 @p93) :args (@t86 @t83 (@list @t64 @t87))) % 0.39/0.58 (step @p97 :rule bool-impl-elim :args (@t12 @t17)) % 0.39/0.58 (step @p98 :rule cong :premises (@p97) :args (@t18)) % 0.39/0.58 (step @p99 :rule eq_resolve :premises (@p9 @p98)) % 0.39/0.58 (step @p100 :rule instantiate :premises (@p99) :args (@t76)) % 0.39/0.58 (step @p101 :rule cnf_or_pos :args (@t90)) % 0.39/0.58 (step @p102 :rule reordering :premises (@p101) :args ((or @t81 @t89 (not @t90)))) % 0.39/0.58 (step @p103 :rule chain_m_resolution :premises (@p102 @p89 @p100) :args (@t89 @t83 (@list @t77 @t90))) % 0.39/0.58 (step @p104 :rule instantiate :premises (@p99) :args (@t84)) % 0.39/0.58 (step @p105 :rule cnf_or_pos :args (@t93)) % 0.39/0.58 (step @p106 :rule reordering :premises (@p105) :args ((or @t65 @t92 (not @t93)))) % 0.39/0.58 (step @p107 :rule chain_m_resolution :premises (@p106 @p73 @p104) :args (@t92 @t83 (@list @t64 @t93))) % 0.39/0.58 (step @p108 :rule cnf_or_pos :args (@t96)) % 0.39/0.58 (step @p109 :rule reordering :premises (@p108) :args ((or @t91 @t88 @t85 @t79 @t94 @t95 @t97))) % 0.39/0.58 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p103 @p96 @p92 @p76 @p60) :args (@t97 (@list true true true true false false) (@list @t91 @t88 @t85 @t79 @t74 @t69))) % 0.39/0.58 (assume-push @p117 @t98) % 0.39/0.58 (step @p112 :rule instantiate :premises (@p25) :args ((@list @t59 @t57 @t56 @t55))) % 0.39/0.58 (step-pop @p118 :rule scope :premises (@p112)) % 0.39/0.58 (step @p113 :rule process_scope :premises (@p118) :args (@t96)) % 0.39/0.58 (step @p115 :rule implies_elim :premises (@p113)) % 0.39/0.58 (step @p116 false :rule chain_m_resolution :premises (@p115 @p110 @p25) :args (false (@list true false) (@list @t96 @t98))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------