%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO194+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 : n029.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 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO194+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 : n029.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 23:39:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t2 () (@list @t1)) % 0.38/0.60 (define @t3 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.60 (define @t4 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.60 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.38/0.60 (define @t8 () (@list @t1 @t5 @t4)) % 0.38/0.60 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.38/0.60 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.38/0.60 (define @t11 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.60 (define @t12 () (tptp.convergent_lines @t1 @t5)) % 0.38/0.60 (define @t13 () (tptp.intersection_point @t1 @t5)) % 0.38/0.60 (define @t14 () (tptp.distinct_points @t4 @t13)) % 0.38/0.60 (define @t15 () (tptp.apart_point_and_line @t4 @t5)) % 0.38/0.60 (define @t16 () (tptp.apart_point_and_line @t4 @t1)) % 0.38/0.60 (define @t17 () (or @t16 @t15)) % 0.38/0.60 (define @t18 () (=> @t17 @t14)) % 0.38/0.60 (define @t19 () (forall @t8 (=> @t12 @t18))) % 0.38/0.60 (define @t20 () (@var "V" $$unsorted)) % 0.38/0.60 (define @t21 () (tptp.apart_point_and_line @t5 @t20)) % 0.38/0.60 (define @t22 () (@var "U" $$unsorted)) % 0.38/0.60 (define @t23 () (tptp.apart_point_and_line @t5 @t22)) % 0.38/0.60 (define @t24 () (tptp.apart_point_and_line @t1 @t20)) % 0.38/0.60 (define @t25 () (tptp.apart_point_and_line @t1 @t22)) % 0.38/0.60 (define @t26 () (or @t25 @t24 @t23 @t21)) % 0.38/0.60 (define @t27 () (tptp.distinct_lines @t22 @t20)) % 0.38/0.60 (define @t28 () (and @t7 @t27)) % 0.38/0.60 (define @t29 () (forall (@list @t1 @t5 @t22 @t20) (=> @t28 @t26))) % 0.38/0.60 (define @t30 () (tptp.apart_point_and_line @t1 @t5)) % 0.38/0.60 (define @t31 () (forall (@list @t1 @t5) (=> @t12 @t10))) % 0.38/0.60 (define @t32 () (tptp.apart_point_and_line (tptp.intersection_point @t1 @t4) @t5)) % 0.38/0.60 (define @t33 () (tptp.apart_point_and_line @t13 @t4)) % 0.38/0.60 (define @t34 () (=> @t33 @t32)) % 0.38/0.60 (define @t35 () (tptp.convergent_lines @t4 @t5)) % 0.38/0.60 (define @t36 () (and @t12 @t35 @t11)) % 0.38/0.60 (define @t37 () (forall @t8 (=> @t36 @t34))) % 0.38/0.60 (define @t38 () (not @t37)) % 0.38/0.60 (define @t39 () (and (not @t16) (not @t15))) % 0.38/0.60 (define @t40 () (not @t12)) % 0.38/0.60 (define @t41 () (not @t33)) % 0.38/0.60 (define @t42 () (not @t11)) % 0.38/0.60 (define @t43 () (not @t35)) % 0.38/0.60 (define @t44 () (or @t40 @t43 @t42 @t41 @t32)) % 0.38/0.60 (define @t45 () (forall @t8 @t44)) % 0.38/0.60 (define @t46 () (@quantifiers_skolemize @t45 2)) % 0.38/0.60 (define @t47 () (@quantifiers_skolemize @t45 0)) % 0.38/0.60 (define @t48 () (tptp.intersection_point @t47 @t46)) % 0.38/0.60 (define @t49 () (not @t27)) % 0.38/0.60 (define @t50 () (not @t7)) % 0.38/0.60 (define @t51 () (@quantifiers_skolemize @t45 1)) % 0.38/0.60 (define @t52 () (tptp.intersection_point @t47 @t51)) % 0.38/0.60 (define @t53 () (or @t40 @t43 @t42)) % 0.38/0.60 (define @t54 () (tptp.apart_point_and_line @t52 @t46)) % 0.38/0.60 (define @t55 () (tptp.apart_point_and_line @t48 @t51)) % 0.38/0.60 (define @t56 () (not @t54)) % 0.38/0.60 (define @t57 () (tptp.convergent_lines @t47 @t46)) % 0.38/0.60 (define @t58 () (not @t57)) % 0.38/0.60 (define @t59 () (tptp.convergent_lines @t47 @t51)) % 0.38/0.60 (define @t60 () (not @t59)) % 0.38/0.60 (define @t61 () (or @t60 (not (tptp.convergent_lines @t46 @t51)) @t58 @t56 @t55)) % 0.38/0.60 (define @t62 () (@list true)) % 0.38/0.60 (define @t63 () (@list @t61)) % 0.38/0.60 (define @t64 () (tptp.apart_point_and_line @t52 @t47)) % 0.38/0.60 (define @t65 () (not @t64)) % 0.38/0.60 (define @t66 () (and @t65 @t56)) % 0.38/0.60 (define @t67 () (not @t66)) % 0.38/0.60 (define @t68 () (@list false)) % 0.38/0.60 (define @t69 () (tptp.distinct_points @t52 @t48)) % 0.38/0.60 (define @t70 () (or @t58 @t66 @t69)) % 0.38/0.60 (define @t71 () (@list false true false)) % 0.38/0.60 (define @t72 () (tptp.distinct_points @t52 @t52)) % 0.38/0.60 (define @t73 () (tptp.apart_point_and_line @t52 @t51)) % 0.38/0.60 (define @t74 () (not @t73)) % 0.38/0.60 (define @t75 () (and @t65 @t74)) % 0.38/0.60 (define @t76 () (or @t60 @t75 @t72)) % 0.38/0.60 (define @t77 () (not @t75)) % 0.38/0.60 (define @t78 () (@list @t75)) % 0.38/0.60 (define @t79 () (tptp.distinct_lines @t47 @t51)) % 0.38/0.60 (define @t80 () (or @t60 @t79)) % 0.38/0.60 (define @t81 () (@list false false)) % 0.38/0.60 (define @t82 () (tptp.apart_point_and_line @t48 @t47)) % 0.38/0.60 (define @t83 () (not @t79)) % 0.38/0.60 (define @t84 () (not @t69)) % 0.38/0.60 (define @t85 () (or @t84 @t83 @t64 @t73 @t82 @t55)) % 0.38/0.60 (define @t86 () (not @t82)) % 0.38/0.60 (define @t87 () (and @t86 (not (tptp.apart_point_and_line @t48 @t46)))) % 0.38/0.60 (define @t88 () (not @t87)) % 0.38/0.60 (define @t89 () (tptp.distinct_points @t48 @t48)) % 0.38/0.60 (define @t90 () (or @t58 @t87 @t89)) % 0.38/0.60 (assume @p1 @t3) % 0.38/0.60 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.60 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.60 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.38/0.60 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.38/0.60 (assume @p6 (forall @t8 (=> @t12 (or @t11 (tptp.convergent_lines @t5 @t4))))) % 0.38/0.60 (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)))))) % 0.38/0.60 (assume @p8 @t19) % 0.38/0.60 (assume @p9 @t29) % 0.38/0.60 (assume @p10 (forall @t8 (=> @t30 (or @t6 @t15)))) % 0.38/0.60 (assume @p11 (forall @t8 (=> @t30 (or @t9 (tptp.apart_point_and_line @t1 @t4))))) % 0.38/0.60 (assume @p12 @t31) % 0.38/0.60 (assume @p13 @t38) % 0.38/0.60 (assume @p14 true) % 0.38/0.60 (step @p15 :rule aci_norm :args ((= (or @t40 (or @t39 @t14)) (or @t40 @t39 @t14)))) % 0.38/0.60 (step @p16 :rule refl :args (@t14)) % 0.38/0.60 (step @p17 :rule bool-or-de-morgan :args (@t16 @t15 false)) % 0.38/0.60 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t17) @t14))) % 0.38/0.60 (step @p19 :rule bool-impl-elim :args (@t17 @t14)) % 0.38/0.60 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.60 (step @p21 :rule refl :args (@t40)) % 0.38/0.60 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t40 @t18))) % 0.38/0.60 (step @p23 :rule trans :premises (@p22 @p15)) % 0.38/0.60 (step @p24 :rule bool-impl-elim :args (@t12 @t18)) % 0.38/0.60 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.60 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 0.38/0.60 (step @p27 :rule eq_resolve :premises (@p8 @p26)) % 0.38/0.60 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t47 @t46 @t48))) % 0.38/0.60 (step @p29 :rule aci_norm :args ((= (or (or @t50 @t49) @t26) (or @t50 @t49 @t25 @t24 @t23 @t21)))) % 0.38/0.60 (step @p30 :rule refl :args (@t26)) % 0.38/0.60 (step @p31 :rule bool-and-de-morgan :args (@t7 @t27 true)) % 0.38/0.60 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t28) @t26))) % 0.38/0.60 (step @p33 :rule trans :premises (@p32 @p29)) % 0.38/0.60 (step @p34 :rule bool-impl-elim :args (@t28 @t26)) % 0.38/0.60 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.60 (step @p36 :rule cong :premises (@p35) :args (@t29)) % 0.38/0.60 (step @p37 :rule eq_resolve :premises (@p9 @p36)) % 0.38/0.60 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t52 @t48 @t47 @t51))) % 0.38/0.60 (step @p39 :rule instantiate :premises (@p27) :args ((@list @t47 @t46 @t52))) % 0.38/0.60 (step @p40 :rule aci_norm :args ((= (or @t53 (or @t41 @t32)) @t44))) % 0.38/0.60 (step @p41 :rule bool-impl-elim :args (@t33 @t32)) % 0.38/0.60 (step @p42 :rule aci_norm :args ((= (or @t40 (or @t43 @t42)) @t53))) % 0.38/0.60 (step @p43 :rule bool-and-de-morgan :args (@t35 @t11 true)) % 0.38/0.60 (step @p44 :rule nary_cong :premises (@p21 @p43) :args ((or @t40 (not (and @t35 @t11))))) % 0.38/0.60 (step @p45 :rule bool-and-de-morgan :args (@t12 @t35 (and @t11))) % 0.38/0.60 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.60 (step @p47 :rule trans :premises (@p46 @p42)) % 0.38/0.60 (step @p48 :rule nary_cong :premises (@p47 @p41) :args ((or (not @t36) @t34))) % 0.38/0.60 (step @p49 :rule trans :premises (@p48 @p40)) % 0.38/0.60 (step @p50 :rule bool-impl-elim :args (@t36 @t34)) % 0.38/0.60 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.60 (step @p52 :rule cong :premises (@p51) :args (@t37)) % 0.38/0.60 (step @p53 :rule cong :premises (@p52) :args (@t38)) % 0.38/0.60 (step @p54 :rule eq_resolve :premises (@p13 @p53)) % 0.38/0.60 (step @p55 :rule skolemize :premises (@p54)) % 0.38/0.60 (step @p56 :rule bool-double-not-elim :args (@t54)) % 0.38/0.60 (step @p57 :rule refl :args (@t61)) % 0.38/0.60 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t61 (not @t56)))) % 0.38/0.60 (step @p59 :rule cnf_or_neg :args (@t61 3)) % 0.38/0.60 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.38/0.60 (step @p61 :rule reordering :premises (@p60) :args ((or @t54 @t61))) % 0.38/0.60 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t54 @t62 @t63)) % 0.38/0.60 (step @p63 :rule cnf_and_pos :args (@t66 1)) % 0.38/0.60 (step @p64 :rule reordering :premises (@p63) :args ((or @t56 @t67))) % 0.38/0.60 (step @p65 :rule chain_m_resolution :premises (@p64 @p62) :args (@t67 @t68 (@list @t54))) % 0.38/0.60 (step @p66 :rule bool-double-not-elim :args (@t57)) % 0.38/0.60 (step @p67 :rule nary_cong :premises (@p57 @p66) :args ((or @t61 (not @t58)))) % 0.38/0.60 (step @p68 :rule cnf_or_neg :args (@t61 2)) % 0.38/0.60 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.38/0.60 (step @p70 :rule reordering :premises (@p69) :args ((or @t57 @t61))) % 0.38/0.60 (step @p71 :rule chain_m_resolution :premises (@p70 @p55) :args (@t57 @t62 @t63)) % 0.38/0.60 (step @p72 :rule cnf_or_pos :args (@t70)) % 0.38/0.60 (step @p73 :rule reordering :premises (@p72) :args ((or @t58 @t69 @t66 (not @t70)))) % 0.38/0.60 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p65 @p39) :args (@t69 @t71 (@list @t57 @t66 @t70))) % 0.38/0.60 (step @p75 :rule instantiate :premises (@p27) :args ((@list @t47 @t51 @t52))) % 0.38/0.60 (step @p76 :rule instantiate :premises (@p1) :args ((@list @t52))) % 0.38/0.60 (step @p77 :rule bool-double-not-elim :args (@t59)) % 0.38/0.60 (step @p78 :rule nary_cong :premises (@p57 @p77) :args ((or @t61 (not @t60)))) % 0.38/0.60 (step @p79 :rule cnf_or_neg :args (@t61 0)) % 0.38/0.60 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.38/0.60 (step @p81 :rule reordering :premises (@p80) :args ((or @t59 @t61))) % 0.38/0.60 (step @p82 :rule chain_m_resolution :premises (@p81 @p55) :args (@t59 @t62 @t63)) % 0.38/0.60 (step @p83 :rule cnf_or_pos :args (@t76)) % 0.38/0.60 (step @p84 :rule reordering :premises (@p83) :args ((or @t60 @t72 @t75 (not @t76)))) % 0.38/0.60 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p76 @p75) :args (@t75 @t71 (@list @t59 @t72 @t76))) % 0.38/0.60 (step @p86 :rule cnf_and_pos :args (@t75 1)) % 0.38/0.60 (step @p87 :rule reordering :premises (@p86) :args ((or @t74 @t77))) % 0.38/0.60 (step @p88 :rule chain_m_resolution :premises (@p87 @p85) :args (@t74 @t68 @t78)) % 0.38/0.60 (step @p89 :rule cnf_and_pos :args (@t75 0)) % 0.38/0.60 (step @p90 :rule reordering :premises (@p89) :args ((or @t65 @t77))) % 0.38/0.60 (step @p91 :rule chain_m_resolution :premises (@p90 @p85) :args (@t65 @t68 @t78)) % 0.38/0.60 (step @p92 :rule bool-impl-elim :args (@t12 @t10)) % 0.38/0.60 (step @p93 :rule cong :premises (@p92) :args (@t31)) % 0.38/0.60 (step @p94 :rule eq_resolve :premises (@p12 @p93)) % 0.38/0.60 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t47 @t51))) % 0.38/0.60 (step @p96 :rule cnf_or_pos :args (@t80)) % 0.38/0.60 (step @p97 :rule reordering :premises (@p96) :args ((or @t60 @t79 (not @t80)))) % 0.38/0.60 (step @p98 :rule chain_m_resolution :premises (@p97 @p82 @p95) :args (@t79 @t81 (@list @t59 @t80))) % 0.38/0.60 (step @p99 :rule cnf_or_neg :args (@t61 4)) % 0.38/0.60 (step @p100 :rule chain_m_resolution :premises (@p99 @p55) :args ((not @t55) @t62 @t63)) % 0.38/0.60 (step @p101 :rule cnf_or_pos :args (@t85)) % 0.38/0.60 (step @p102 :rule reordering :premises (@p101) :args ((or @t55 @t83 @t64 @t73 @t82 @t84 (not @t85)))) % 0.38/0.60 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p98 @p91 @p88 @p74 @p38) :args (@t82 (@list true false true true false false) (@list @t55 @t79 @t64 @t73 @t69 @t85))) % 0.38/0.60 (step @p104 :rule cnf_and_pos :args (@t87 0)) % 0.38/0.60 (step @p105 :rule reordering :premises (@p104) :args ((or @t86 @t88))) % 0.38/0.60 (step @p106 :rule chain_m_resolution :premises (@p105 @p103) :args (@t88 @t68 (@list @t82))) % 0.38/0.60 (step @p107 :rule cnf_or_pos :args (@t90)) % 0.38/0.60 (step @p108 :rule reordering :premises (@p107) :args ((or @t58 @t89 @t87 (not @t90)))) % 0.38/0.60 (step @p109 :rule chain_m_resolution :premises (@p108 @p71 @p106 @p28) :args (@t89 @t71 (@list @t57 @t87 @t90))) % 0.38/0.60 (assume-push @p116 @t3) % 0.38/0.60 (step @p111 :rule instantiate :premises (@p1) :args ((@list @t48))) % 0.38/0.60 (step-pop @p117 :rule scope :premises (@p111)) % 0.38/0.60 (step @p112 :rule process_scope :premises (@p117) :args ((not @t89))) % 0.38/0.60 (step @p114 :rule implies_elim :premises (@p112)) % 0.38/0.60 (step @p115 false :rule chain_m_resolution :premises (@p114 @p109 @p1) :args (false @t81 (@list @t89 @t3))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------