%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO193+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO193+2 : TPTP v9.2.1. Released v3.3.0. % 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 : n003.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 23:39:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t2 () (@list @t1)) % 0.38/0.61 (define @t3 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.61 (define @t4 () (@var "Z" $$unsorted)) % 0.38/0.61 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.61 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.38/0.61 (define @t8 () (@list @t1 @t5 @t4)) % 0.38/0.61 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.38/0.61 (define @t10 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.61 (define @t11 () (or @t10 @t9)) % 0.38/0.61 (define @t12 () (tptp.distinct_lines @t1 @t5)) % 0.38/0.61 (define @t13 () (forall @t8 (=> @t12 @t11))) % 0.38/0.61 (define @t14 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.61 (define @t15 () (tptp.convergent_lines @t1 @t5)) % 0.38/0.61 (define @t16 () (tptp.intersection_point @t1 @t5)) % 0.38/0.61 (define @t17 () (tptp.distinct_points @t4 @t16)) % 0.38/0.61 (define @t18 () (tptp.apart_point_and_line @t4 @t5)) % 0.38/0.61 (define @t19 () (tptp.apart_point_and_line @t4 @t1)) % 0.38/0.61 (define @t20 () (or @t19 @t18)) % 0.38/0.61 (define @t21 () (=> @t20 @t17)) % 0.38/0.61 (define @t22 () (forall @t8 (=> @t15 @t21))) % 0.38/0.61 (define @t23 () (@var "V" $$unsorted)) % 0.38/0.61 (define @t24 () (tptp.apart_point_and_line @t5 @t23)) % 0.38/0.61 (define @t25 () (@var "U" $$unsorted)) % 0.38/0.61 (define @t26 () (tptp.apart_point_and_line @t5 @t25)) % 0.38/0.61 (define @t27 () (tptp.apart_point_and_line @t1 @t23)) % 0.38/0.61 (define @t28 () (tptp.apart_point_and_line @t1 @t25)) % 0.38/0.61 (define @t29 () (or @t28 @t27 @t26 @t24)) % 0.38/0.61 (define @t30 () (tptp.distinct_lines @t25 @t23)) % 0.38/0.61 (define @t31 () (and @t7 @t30)) % 0.38/0.61 (define @t32 () (forall (@list @t1 @t5 @t25 @t23) (=> @t31 @t29))) % 0.38/0.61 (define @t33 () (tptp.apart_point_and_line @t1 @t5)) % 0.38/0.61 (define @t34 () (forall (@list @t1 @t5) (=> @t15 @t12))) % 0.38/0.61 (define @t35 () (tptp.apart_point_and_line (tptp.intersection_point @t4 @t5) @t1)) % 0.38/0.61 (define @t36 () (tptp.apart_point_and_line @t16 @t4)) % 0.38/0.61 (define @t37 () (=> @t36 @t35)) % 0.38/0.61 (define @t38 () (tptp.convergent_lines @t4 @t5)) % 0.38/0.61 (define @t39 () (and @t15 @t38 @t14)) % 0.38/0.61 (define @t40 () (forall @t8 (=> @t39 @t37))) % 0.38/0.61 (define @t41 () (not @t40)) % 0.38/0.61 (define @t42 () (and (not @t19) (not @t18))) % 0.38/0.61 (define @t43 () (not @t15)) % 0.38/0.61 (define @t44 () (not @t36)) % 0.38/0.61 (define @t45 () (not @t14)) % 0.38/0.61 (define @t46 () (not @t38)) % 0.38/0.61 (define @t47 () (or @t43 @t46 @t45 @t44 @t35)) % 0.38/0.61 (define @t48 () (forall @t8 @t47)) % 0.38/0.61 (define @t49 () (@quantifiers_skolemize @t48 1)) % 0.38/0.61 (define @t50 () (@quantifiers_skolemize @t48 2)) % 0.38/0.61 (define @t51 () (tptp.intersection_point @t50 @t49)) % 0.38/0.61 (define @t52 () (not @t30)) % 0.38/0.61 (define @t53 () (not @t7)) % 0.38/0.61 (define @t54 () (@quantifiers_skolemize @t48 0)) % 0.38/0.61 (define @t55 () (tptp.intersection_point @t54 @t49)) % 0.38/0.61 (define @t56 () (or @t43 @t46 @t45)) % 0.38/0.61 (define @t57 () (tptp.apart_point_and_line @t55 @t50)) % 0.38/0.61 (define @t58 () (tptp.apart_point_and_line @t51 @t54)) % 0.38/0.61 (define @t59 () (not @t57)) % 0.38/0.61 (define @t60 () (tptp.convergent_lines @t50 @t49)) % 0.38/0.61 (define @t61 () (not @t60)) % 0.38/0.61 (define @t62 () (tptp.convergent_lines @t54 @t49)) % 0.38/0.61 (define @t63 () (not @t62)) % 0.38/0.61 (define @t64 () (or @t63 @t61 (not (tptp.convergent_lines @t54 @t50)) @t59 @t58)) % 0.38/0.61 (define @t65 () (@list true)) % 0.38/0.61 (define @t66 () (@list @t64)) % 0.38/0.61 (define @t67 () (tptp.apart_point_and_line @t55 @t49)) % 0.38/0.61 (define @t68 () (not @t67)) % 0.38/0.61 (define @t69 () (and @t59 @t68)) % 0.38/0.61 (define @t70 () (not @t69)) % 0.38/0.61 (define @t71 () (@list false)) % 0.38/0.61 (define @t72 () (tptp.distinct_points @t55 @t51)) % 0.38/0.61 (define @t73 () (or @t61 @t69 @t72)) % 0.38/0.61 (define @t74 () (@list false true false)) % 0.38/0.61 (define @t75 () (not @t12)) % 0.38/0.61 (define @t76 () (tptp.distinct_lines @t54 @t49)) % 0.38/0.61 (define @t77 () (or @t63 @t76)) % 0.38/0.61 (define @t78 () (@list false false)) % 0.38/0.61 (define @t79 () (tptp.distinct_lines @t49 @t54)) % 0.38/0.61 (define @t80 () (tptp.distinct_lines @t54 @t54)) % 0.38/0.61 (define @t81 () (not @t76)) % 0.38/0.61 (define @t82 () (or @t81 @t80 @t79)) % 0.38/0.61 (define @t83 () (tptp.distinct_points @t55 @t55)) % 0.38/0.61 (define @t84 () (tptp.apart_point_and_line @t55 @t54)) % 0.38/0.61 (define @t85 () (not @t84)) % 0.38/0.61 (define @t86 () (and @t85 @t68)) % 0.38/0.61 (define @t87 () (or @t63 @t86 @t83)) % 0.38/0.61 (define @t88 () (not @t86)) % 0.38/0.61 (define @t89 () (@list @t86)) % 0.38/0.61 (define @t90 () (tptp.apart_point_and_line @t51 @t49)) % 0.38/0.61 (define @t91 () (not @t79)) % 0.38/0.61 (define @t92 () (not @t72)) % 0.38/0.61 (define @t93 () (or @t92 @t91 @t67 @t84 @t90 @t58)) % 0.38/0.61 (define @t94 () (not @t90)) % 0.38/0.61 (define @t95 () (and (not (tptp.apart_point_and_line @t51 @t50)) @t94)) % 0.38/0.61 (define @t96 () (not @t95)) % 0.38/0.61 (define @t97 () (tptp.distinct_points @t51 @t51)) % 0.38/0.61 (define @t98 () (or @t61 @t95 @t97)) % 0.38/0.61 (assume @p1 @t3) % 0.38/0.61 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.61 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.61 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.38/0.61 (assume @p5 @t13) % 0.38/0.61 (assume @p6 (forall @t8 (=> @t15 (or @t14 (tptp.convergent_lines @t5 @t4))))) % 0.38/0.61 (assume @p7 (forall @t8 (=> @t7 (=> (tptp.apart_point_and_line @t4 (tptp.line_connecting @t1 @t5)) (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5)))))) % 0.38/0.61 (assume @p8 @t22) % 0.38/0.61 (assume @p9 @t32) % 0.38/0.61 (assume @p10 (forall @t8 (=> @t33 (or @t6 @t18)))) % 0.38/0.61 (assume @p11 (forall @t8 (=> @t33 (or @t9 (tptp.apart_point_and_line @t1 @t4))))) % 0.38/0.61 (assume @p12 @t34) % 0.38/0.61 (assume @p13 @t41) % 0.38/0.61 (assume @p14 true) % 0.38/0.61 (step @p15 :rule aci_norm :args ((= (or @t43 (or @t42 @t17)) (or @t43 @t42 @t17)))) % 0.38/0.61 (step @p16 :rule refl :args (@t17)) % 0.38/0.61 (step @p17 :rule bool-or-de-morgan :args (@t19 @t18 false)) % 0.38/0.61 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t20) @t17))) % 0.38/0.61 (step @p19 :rule bool-impl-elim :args (@t20 @t17)) % 0.38/0.61 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.61 (step @p21 :rule refl :args (@t43)) % 0.38/0.61 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t43 @t21))) % 0.38/0.61 (step @p23 :rule trans :premises (@p22 @p15)) % 0.38/0.61 (step @p24 :rule bool-impl-elim :args (@t15 @t21)) % 0.38/0.61 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.61 (step @p26 :rule cong :premises (@p25) :args (@t22)) % 0.38/0.61 (step @p27 :rule eq_resolve :premises (@p8 @p26)) % 0.38/0.61 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t50 @t49 @t51))) % 0.38/0.61 (step @p29 :rule aci_norm :args ((= (or (or @t53 @t52) @t29) (or @t53 @t52 @t28 @t27 @t26 @t24)))) % 0.38/0.61 (step @p30 :rule refl :args (@t29)) % 0.38/0.61 (step @p31 :rule bool-and-de-morgan :args (@t7 @t30 true)) % 0.38/0.61 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t31) @t29))) % 0.38/0.61 (step @p33 :rule trans :premises (@p32 @p29)) % 0.38/0.61 (step @p34 :rule bool-impl-elim :args (@t31 @t29)) % 0.38/0.61 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.61 (step @p36 :rule cong :premises (@p35) :args (@t32)) % 0.38/0.61 (step @p37 :rule eq_resolve :premises (@p9 @p36)) % 0.38/0.61 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t55 @t51 @t49 @t54))) % 0.38/0.61 (step @p39 :rule instantiate :premises (@p27) :args ((@list @t50 @t49 @t55))) % 0.38/0.61 (step @p40 :rule aci_norm :args ((= (or @t56 (or @t44 @t35)) @t47))) % 0.38/0.61 (step @p41 :rule bool-impl-elim :args (@t36 @t35)) % 0.38/0.61 (step @p42 :rule aci_norm :args ((= (or @t43 (or @t46 @t45)) @t56))) % 0.38/0.61 (step @p43 :rule bool-and-de-morgan :args (@t38 @t14 true)) % 0.38/0.61 (step @p44 :rule nary_cong :premises (@p21 @p43) :args ((or @t43 (not (and @t38 @t14))))) % 0.38/0.61 (step @p45 :rule bool-and-de-morgan :args (@t15 @t38 (and @t14))) % 0.38/0.61 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.61 (step @p47 :rule trans :premises (@p46 @p42)) % 0.38/0.61 (step @p48 :rule nary_cong :premises (@p47 @p41) :args ((or (not @t39) @t37))) % 0.38/0.61 (step @p49 :rule trans :premises (@p48 @p40)) % 0.38/0.61 (step @p50 :rule bool-impl-elim :args (@t39 @t37)) % 0.38/0.61 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.61 (step @p52 :rule cong :premises (@p51) :args (@t40)) % 0.38/0.61 (step @p53 :rule cong :premises (@p52) :args (@t41)) % 0.38/0.61 (step @p54 :rule eq_resolve :premises (@p13 @p53)) % 0.38/0.61 (step @p55 :rule skolemize :premises (@p54)) % 0.38/0.61 (step @p56 :rule bool-double-not-elim :args (@t57)) % 0.38/0.61 (step @p57 :rule refl :args (@t64)) % 0.38/0.61 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t64 (not @t59)))) % 0.38/0.61 (step @p59 :rule cnf_or_neg :args (@t64 3)) % 0.38/0.61 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.38/0.61 (step @p61 :rule reordering :premises (@p60) :args ((or @t57 @t64))) % 0.38/0.61 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t57 @t65 @t66)) % 0.38/0.61 (step @p63 :rule cnf_and_pos :args (@t69 0)) % 0.38/0.61 (step @p64 :rule reordering :premises (@p63) :args ((or @t59 @t70))) % 0.38/0.61 (step @p65 :rule chain_m_resolution :premises (@p64 @p62) :args (@t70 @t71 (@list @t57))) % 0.38/0.61 (step @p66 :rule bool-double-not-elim :args (@t60)) % 0.38/0.61 (step @p67 :rule nary_cong :premises (@p57 @p66) :args ((or @t64 (not @t61)))) % 0.38/0.61 (step @p68 :rule cnf_or_neg :args (@t64 1)) % 0.38/0.61 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.38/0.61 (step @p70 :rule reordering :premises (@p69) :args ((or @t60 @t64))) % 0.38/0.61 (step @p71 :rule chain_m_resolution :premises (@p70 @p55) :args (@t60 @t65 @t66)) % 0.38/0.61 (step @p72 :rule cnf_or_pos :args (@t73)) % 0.38/0.61 (step @p73 :rule reordering :premises (@p72) :args ((or @t61 @t72 @t69 (not @t73)))) % 0.38/0.61 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p65 @p39) :args (@t72 @t74 (@list @t60 @t69 @t73))) % 0.38/0.61 (step @p75 :rule aci_norm :args ((= (or @t75 @t11) (or @t75 @t10 @t9)))) % 0.38/0.61 (step @p76 :rule bool-impl-elim :args (@t12 @t11)) % 0.38/0.61 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.61 (step @p78 :rule cong :premises (@p77) :args (@t13)) % 0.38/0.61 (step @p79 :rule eq_resolve :premises (@p5 @p78)) % 0.38/0.61 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t54 @t49 @t54))) % 0.38/0.61 (step @p81 :rule instantiate :premises (@p2) :args ((@list @t54))) % 0.38/0.61 (step @p82 :rule bool-impl-elim :args (@t15 @t12)) % 0.38/0.61 (step @p83 :rule cong :premises (@p82) :args (@t34)) % 0.38/0.61 (step @p84 :rule eq_resolve :premises (@p12 @p83)) % 0.38/0.61 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t54 @t49))) % 0.38/0.61 (step @p86 :rule bool-double-not-elim :args (@t62)) % 0.38/0.61 (step @p87 :rule nary_cong :premises (@p57 @p86) :args ((or @t64 (not @t63)))) % 0.38/0.61 (step @p88 :rule cnf_or_neg :args (@t64 0)) % 0.38/0.61 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.38/0.61 (step @p90 :rule reordering :premises (@p89) :args ((or @t62 @t64))) % 0.38/0.61 (step @p91 :rule chain_m_resolution :premises (@p90 @p55) :args (@t62 @t65 @t66)) % 0.38/0.61 (step @p92 :rule cnf_or_pos :args (@t77)) % 0.38/0.61 (step @p93 :rule reordering :premises (@p92) :args ((or @t63 @t76 (not @t77)))) % 0.38/0.61 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p85) :args (@t76 @t78 (@list @t62 @t77))) % 0.38/0.61 (step @p95 :rule cnf_or_pos :args (@t82)) % 0.38/0.61 (step @p96 :rule reordering :premises (@p95) :args ((or @t81 @t80 @t79 (not @t82)))) % 0.38/0.61 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p81 @p80) :args (@t79 @t74 (@list @t76 @t80 @t82))) % 0.38/0.61 (step @p98 :rule instantiate :premises (@p27) :args ((@list @t54 @t49 @t55))) % 0.38/0.61 (step @p99 :rule instantiate :premises (@p1) :args ((@list @t55))) % 0.38/0.61 (step @p100 :rule cnf_or_pos :args (@t87)) % 0.38/0.61 (step @p101 :rule reordering :premises (@p100) :args ((or @t63 @t83 @t86 (not @t87)))) % 0.38/0.61 (step @p102 :rule chain_m_resolution :premises (@p101 @p91 @p99 @p98) :args (@t86 @t74 (@list @t62 @t83 @t87))) % 0.38/0.61 (step @p103 :rule cnf_and_pos :args (@t86 1)) % 0.38/0.61 (step @p104 :rule reordering :premises (@p103) :args ((or @t68 @t88))) % 0.38/0.61 (step @p105 :rule chain_m_resolution :premises (@p104 @p102) :args (@t68 @t71 @t89)) % 0.38/0.61 (step @p106 :rule cnf_and_pos :args (@t86 0)) % 0.38/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t85 @t88))) % 0.38/0.61 (step @p108 :rule chain_m_resolution :premises (@p107 @p102) :args (@t85 @t71 @t89)) % 0.38/0.61 (step @p109 :rule cnf_or_neg :args (@t64 4)) % 0.38/0.61 (step @p110 :rule chain_m_resolution :premises (@p109 @p55) :args ((not @t58) @t65 @t66)) % 0.38/0.61 (step @p111 :rule cnf_or_pos :args (@t93)) % 0.38/0.61 (step @p112 :rule reordering :premises (@p111) :args ((or @t58 @t84 @t67 @t91 @t92 @t90 (not @t93)))) % 0.38/0.61 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p108 @p105 @p97 @p74 @p38) :args (@t90 (@list true true true false false false) (@list @t58 @t84 @t67 @t79 @t72 @t93))) % 0.38/0.61 (step @p114 :rule cnf_and_pos :args (@t95 1)) % 0.38/0.61 (step @p115 :rule reordering :premises (@p114) :args ((or @t94 @t96))) % 0.38/0.61 (step @p116 :rule chain_m_resolution :premises (@p115 @p113) :args (@t96 @t71 (@list @t90))) % 0.38/0.61 (step @p117 :rule cnf_or_pos :args (@t98)) % 0.38/0.61 (step @p118 :rule reordering :premises (@p117) :args ((or @t61 @t97 @t95 (not @t98)))) % 0.38/0.61 (step @p119 :rule chain_m_resolution :premises (@p118 @p71 @p116 @p28) :args (@t97 @t74 (@list @t60 @t95 @t98))) % 0.38/0.61 (assume-push @p126 @t3) % 0.38/0.61 (step @p121 :rule instantiate :premises (@p1) :args ((@list @t51))) % 0.38/0.61 (step-pop @p127 :rule scope :premises (@p121)) % 0.38/0.61 (step @p122 :rule process_scope :premises (@p127) :args ((not @t97))) % 0.38/0.61 (step @p124 :rule implies_elim :premises (@p122)) % 0.38/0.61 (step @p125 false :rule chain_m_resolution :premises (@p124 @p119 @p1) :args (false @t78 (@list @t97 @t3))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------