%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO181+1 : 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 : 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 08:16:35 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO181+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 23:39:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.62 (define @t2 () (@list @t1)) % 0.38/0.62 (define @t3 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.62 (define @t4 () (@var "Z" $$unsorted)) % 0.38/0.62 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.62 (define @t6 () (tptp.distinct_points @t5 @t4)) % 0.38/0.62 (define @t7 () (tptp.distinct_points @t1 @t4)) % 0.38/0.62 (define @t8 () (or @t7 @t6)) % 0.38/0.62 (define @t9 () (tptp.distinct_points @t1 @t5)) % 0.38/0.62 (define @t10 () (@list @t1 @t5 @t4)) % 0.38/0.62 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.38/0.62 (define @t12 () (tptp.distinct_lines @t5 @t4)) % 0.38/0.62 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.62 (define @t14 () (tptp.convergent_lines @t1 @t5)) % 0.38/0.62 (define @t15 () (tptp.line_connecting @t1 @t5)) % 0.38/0.62 (define @t16 () (not (tptp.apart_point_and_line @t1 @t15))) % 0.38/0.62 (define @t17 () (@list @t1 @t5)) % 0.38/0.62 (define @t18 () (forall @t17 (=> @t9 @t16))) % 0.38/0.62 (define @t19 () (not (tptp.apart_point_and_line @t5 @t15))) % 0.38/0.62 (define @t20 () (forall @t17 (=> @t9 @t19))) % 0.38/0.62 (define @t21 () (tptp.intersection_point @t1 @t5)) % 0.38/0.62 (define @t22 () (@var "V" $$unsorted)) % 0.38/0.62 (define @t23 () (tptp.apart_point_and_line @t5 @t22)) % 0.38/0.62 (define @t24 () (@var "U" $$unsorted)) % 0.38/0.62 (define @t25 () (tptp.apart_point_and_line @t5 @t24)) % 0.38/0.62 (define @t26 () (tptp.apart_point_and_line @t1 @t22)) % 0.38/0.62 (define @t27 () (tptp.apart_point_and_line @t1 @t24)) % 0.38/0.62 (define @t28 () (or @t27 @t26 @t25 @t23)) % 0.38/0.62 (define @t29 () (tptp.distinct_lines @t24 @t22)) % 0.38/0.62 (define @t30 () (and @t9 @t29)) % 0.38/0.62 (define @t31 () (forall (@list @t1 @t5 @t24 @t22) (=> @t30 @t28))) % 0.38/0.62 (define @t32 () (tptp.apart_point_and_line @t4 @t5)) % 0.38/0.62 (define @t33 () (or @t7 @t32)) % 0.38/0.62 (define @t34 () (tptp.apart_point_and_line @t1 @t5)) % 0.38/0.62 (define @t35 () (forall @t10 (=> @t34 @t33))) % 0.38/0.62 (define @t36 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.62 (define @t37 () (or @t12 @t36)) % 0.38/0.62 (define @t38 () (forall @t10 (=> @t34 @t37))) % 0.38/0.62 (define @t39 () (tptp.apart_point_and_line @t5 (tptp.line_connecting @t1 @t4))) % 0.38/0.62 (define @t40 () (tptp.apart_point_and_line @t4 @t15)) % 0.38/0.62 (define @t41 () (=> @t40 @t39)) % 0.38/0.62 (define @t42 () (forall @t10 (=> @t9 @t41))) % 0.38/0.62 (define @t43 () (not @t42)) % 0.38/0.62 (define @t44 () (not @t9)) % 0.38/0.62 (define @t45 () (not @t40)) % 0.38/0.62 (define @t46 () (or @t44 @t45 @t39)) % 0.38/0.62 (define @t47 () (forall @t10 @t46)) % 0.38/0.62 (define @t48 () (@quantifiers_skolemize @t47 2)) % 0.38/0.62 (define @t49 () (@quantifiers_skolemize @t47 0)) % 0.38/0.62 (define @t50 () (not @t34)) % 0.38/0.62 (define @t51 () (@quantifiers_skolemize @t47 1)) % 0.38/0.62 (define @t52 () (tptp.line_connecting @t49 @t51)) % 0.38/0.62 (define @t53 () (@list @t49 @t51)) % 0.38/0.62 (define @t54 () (tptp.distinct_points @t49 @t51)) % 0.38/0.62 (define @t55 () (tptp.line_connecting @t49 @t48)) % 0.38/0.62 (define @t56 () (tptp.apart_point_and_line @t51 @t55)) % 0.38/0.62 (define @t57 () (tptp.apart_point_and_line @t48 @t52)) % 0.38/0.62 (define @t58 () (not @t57)) % 0.38/0.62 (define @t59 () (not @t54)) % 0.38/0.62 (define @t60 () (or @t59 @t58 @t56)) % 0.38/0.62 (define @t61 () (@list true)) % 0.38/0.62 (define @t62 () (@list @t60)) % 0.38/0.62 (define @t63 () (tptp.apart_point_and_line @t49 @t52)) % 0.38/0.62 (define @t64 () (not @t63)) % 0.38/0.62 (define @t65 () (or @t59 @t64)) % 0.38/0.62 (define @t66 () (@list false false)) % 0.38/0.62 (define @t67 () (tptp.distinct_points @t48 @t49)) % 0.38/0.62 (define @t68 () (or @t58 @t67 @t63)) % 0.38/0.62 (define @t69 () (@list false true false)) % 0.38/0.62 (define @t70 () (@list @t49 @t48)) % 0.38/0.62 (define @t71 () (tptp.apart_point_and_line @t49 @t55)) % 0.38/0.62 (define @t72 () (not @t71)) % 0.38/0.62 (define @t73 () (tptp.distinct_points @t49 @t48)) % 0.38/0.62 (define @t74 () (not @t73)) % 0.38/0.62 (define @t75 () (or @t74 @t72)) % 0.38/0.62 (define @t76 () (tptp.apart_point_and_line @t48 @t55)) % 0.38/0.62 (define @t77 () (not @t76)) % 0.38/0.62 (define @t78 () (or @t74 @t77)) % 0.38/0.62 (define @t79 () (tptp.apart_point_and_line @t51 @t52)) % 0.38/0.62 (define @t80 () (not @t79)) % 0.38/0.62 (define @t81 () (or @t59 @t80)) % 0.38/0.62 (define @t82 () (tptp.distinct_points @t51 @t49)) % 0.38/0.62 (define @t83 () (tptp.distinct_points @t49 @t49)) % 0.38/0.62 (define @t84 () (or @t59 @t83 @t82)) % 0.38/0.62 (define @t85 () (not @t29)) % 0.38/0.62 (define @t86 () (tptp.distinct_lines @t52 @t55)) % 0.38/0.62 (define @t87 () (not @t86)) % 0.38/0.62 (define @t88 () (not @t82)) % 0.38/0.62 (define @t89 () (or @t88 @t87 @t79 @t56 @t63 @t71)) % 0.38/0.62 (define @t90 () (or @t58 @t86 @t76)) % 0.38/0.62 (define @t91 () (tptp.distinct_points @t48 @t48)) % 0.38/0.62 (define @t92 () (not @t67)) % 0.38/0.62 (define @t93 () (or @t92 @t91 @t73)) % 0.38/0.62 (assume @p1 @t3) % 0.38/0.62 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.62 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.62 (assume @p4 @t11) % 0.38/0.62 (assume @p5 (forall @t10 (=> (tptp.distinct_lines @t1 @t5) (or (tptp.distinct_lines @t1 @t4) @t12)))) % 0.38/0.62 (assume @p6 (forall @t10 (=> @t14 (or @t13 (tptp.convergent_lines @t5 @t4))))) % 0.38/0.62 (assume @p7 @t18) % 0.38/0.62 (assume @p8 @t20) % 0.38/0.62 (assume @p9 (forall @t17 (=> @t14 (not (tptp.apart_point_and_line @t21 @t1))))) % 0.38/0.62 (assume @p10 (forall @t17 (=> @t14 (not (tptp.apart_point_and_line @t21 @t5))))) % 0.38/0.62 (assume @p11 @t31) % 0.38/0.62 (assume @p12 @t35) % 0.38/0.62 (assume @p13 @t38) % 0.38/0.62 (assume @p14 (forall @t10 (=> @t14 (or @t12 @t13)))) % 0.38/0.62 (assume @p15 @t43) % 0.38/0.62 (assume @p16 true) % 0.38/0.62 (step @p17 :rule aci_norm :args ((= (or @t44 @t8) (or @t44 @t7 @t6)))) % 0.38/0.62 (step @p18 :rule bool-impl-elim :args (@t9 @t8)) % 0.38/0.62 (step @p19 :rule trans :premises (@p18 @p17)) % 0.38/0.62 (step @p20 :rule cong :premises (@p19) :args (@t11)) % 0.38/0.62 (step @p21 :rule eq_resolve :premises (@p4 @p20)) % 0.38/0.62 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t48 @t49 @t48))) % 0.38/0.62 (step @p23 :rule aci_norm :args ((= (or @t50 @t33) (or @t50 @t7 @t32)))) % 0.38/0.62 (step @p24 :rule bool-impl-elim :args (@t34 @t33)) % 0.38/0.62 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.62 (step @p26 :rule cong :premises (@p25) :args (@t35)) % 0.38/0.62 (step @p27 :rule eq_resolve :premises (@p12 @p26)) % 0.38/0.62 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t48 @t52 @t49))) % 0.38/0.62 (step @p29 :rule bool-impl-elim :args (@t9 @t16)) % 0.38/0.62 (step @p30 :rule cong :premises (@p29) :args (@t18)) % 0.38/0.62 (step @p31 :rule eq_resolve :premises (@p7 @p30)) % 0.38/0.62 (step @p32 :rule instantiate :premises (@p31) :args (@t53)) % 0.38/0.62 (step @p33 :rule aci_norm :args ((= (or @t44 (or @t45 @t39)) @t46))) % 0.38/0.62 (step @p34 :rule bool-impl-elim :args (@t40 @t39)) % 0.38/0.62 (step @p35 :rule refl :args (@t44)) % 0.38/0.62 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t44 @t41))) % 0.38/0.62 (step @p37 :rule trans :premises (@p36 @p33)) % 0.38/0.62 (step @p38 :rule bool-impl-elim :args (@t9 @t41)) % 0.38/0.62 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.62 (step @p40 :rule cong :premises (@p39) :args (@t42)) % 0.38/0.62 (step @p41 :rule cong :premises (@p40) :args (@t43)) % 0.38/0.62 (step @p42 :rule eq_resolve :premises (@p15 @p41)) % 0.38/0.62 (step @p43 :rule skolemize :premises (@p42)) % 0.38/0.62 (step @p44 :rule bool-double-not-elim :args (@t54)) % 0.38/0.62 (step @p45 :rule refl :args (@t60)) % 0.38/0.62 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t60 (not @t59)))) % 0.38/0.62 (step @p47 :rule cnf_or_neg :args (@t60 0)) % 0.38/0.62 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.38/0.62 (step @p49 :rule reordering :premises (@p48) :args ((or @t54 @t60))) % 0.38/0.62 (step @p50 :rule chain_m_resolution :premises (@p49 @p43) :args (@t54 @t61 @t62)) % 0.38/0.62 (step @p51 :rule cnf_or_pos :args (@t65)) % 0.38/0.62 (step @p52 :rule reordering :premises (@p51) :args ((or @t59 @t64 (not @t65)))) % 0.38/0.62 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p32) :args (@t64 @t66 (@list @t54 @t65))) % 0.38/0.62 (step @p54 :rule bool-double-not-elim :args (@t57)) % 0.38/0.62 (step @p55 :rule nary_cong :premises (@p45 @p54) :args ((or @t60 (not @t58)))) % 0.38/0.62 (step @p56 :rule cnf_or_neg :args (@t60 1)) % 0.38/0.62 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.38/0.62 (step @p58 :rule reordering :premises (@p57) :args ((or @t57 @t60))) % 0.38/0.62 (step @p59 :rule chain_m_resolution :premises (@p58 @p43) :args (@t57 @t61 @t62)) % 0.38/0.62 (step @p60 :rule cnf_or_pos :args (@t68)) % 0.38/0.62 (step @p61 :rule reordering :premises (@p60) :args ((or @t58 @t63 @t67 (not @t68)))) % 0.38/0.62 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p53 @p28) :args (@t67 @t69 (@list @t57 @t63 @t68))) % 0.38/0.62 (step @p63 :rule instantiate :premises (@p31) :args (@t70)) % 0.38/0.62 (step @p64 :rule cnf_or_pos :args (@t75)) % 0.38/0.62 (step @p65 :rule reordering :premises (@p64) :args ((or @t74 @t72 (not @t75)))) % 0.38/0.62 (step @p66 :rule bool-impl-elim :args (@t9 @t19)) % 0.47/0.62 (step @p67 :rule cong :premises (@p66) :args (@t20)) % 0.47/0.62 (step @p68 :rule eq_resolve :premises (@p8 @p67)) % 0.47/0.62 (step @p69 :rule instantiate :premises (@p68) :args (@t70)) % 0.47/0.62 (step @p70 :rule cnf_or_pos :args (@t78)) % 0.47/0.62 (step @p71 :rule reordering :premises (@p70) :args ((or @t74 @t77 (not @t78)))) % 0.47/0.62 (step @p72 :rule cnf_or_neg :args (@t60 2)) % 0.47/0.62 (step @p73 :rule chain_m_resolution :premises (@p72 @p43) :args ((not @t56) @t61 @t62)) % 0.47/0.62 (step @p74 :rule instantiate :premises (@p68) :args (@t53)) % 0.47/0.62 (step @p75 :rule cnf_or_pos :args (@t81)) % 0.47/0.62 (step @p76 :rule reordering :premises (@p75) :args ((or @t59 @t80 (not @t81)))) % 0.47/0.62 (step @p77 :rule chain_m_resolution :premises (@p76 @p50 @p74) :args (@t80 @t66 (@list @t54 @t81))) % 0.47/0.62 (step @p78 :rule instantiate :premises (@p21) :args ((@list @t49 @t51 @t49))) % 0.47/0.62 (step @p79 :rule instantiate :premises (@p1) :args ((@list @t49))) % 0.47/0.62 (step @p80 :rule cnf_or_pos :args (@t84)) % 0.47/0.62 (step @p81 :rule reordering :premises (@p80) :args ((or @t59 @t83 @t82 (not @t84)))) % 0.47/0.62 (step @p82 :rule chain_m_resolution :premises (@p81 @p50 @p79 @p78) :args (@t82 @t69 (@list @t54 @t83 @t84))) % 0.47/0.62 (step @p83 :rule aci_norm :args ((= (or (or @t44 @t85) @t28) (or @t44 @t85 @t27 @t26 @t25 @t23)))) % 0.47/0.62 (step @p84 :rule refl :args (@t28)) % 0.47/0.62 (step @p85 :rule bool-and-de-morgan :args (@t9 @t29 true)) % 0.47/0.62 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or (not @t30) @t28))) % 0.47/0.62 (step @p87 :rule trans :premises (@p86 @p83)) % 0.47/0.62 (step @p88 :rule bool-impl-elim :args (@t30 @t28)) % 0.47/0.62 (step @p89 :rule trans :premises (@p88 @p87)) % 0.47/0.62 (step @p90 :rule cong :premises (@p89) :args (@t31)) % 0.47/0.62 (step @p91 :rule eq_resolve :premises (@p11 @p90)) % 0.47/0.62 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t51 @t49 @t52 @t55))) % 0.47/0.62 (step @p93 :rule cnf_or_pos :args (@t89)) % 0.47/0.62 (step @p94 :rule reordering :premises (@p93) :args ((or @t56 @t63 @t71 @t79 @t88 @t87 (not @t89)))) % 0.47/0.62 (step @p95 :rule aci_norm :args ((= (or @t50 @t37) (or @t50 @t12 @t36)))) % 0.47/0.62 (step @p96 :rule bool-impl-elim :args (@t34 @t37)) % 0.47/0.62 (step @p97 :rule trans :premises (@p96 @p95)) % 0.47/0.62 (step @p98 :rule cong :premises (@p97) :args (@t38)) % 0.47/0.63 (step @p99 :rule eq_resolve :premises (@p13 @p98)) % 0.47/0.63 (step @p100 :rule instantiate :premises (@p99) :args ((@list @t48 @t52 @t55))) % 0.47/0.63 (step @p101 :rule cnf_or_pos :args (@t90)) % 0.47/0.63 (step @p102 :rule reordering :premises (@p101) :args ((or @t58 @t76 @t86 (not @t90)))) % 0.47/0.63 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p59 @p94 @p92 @p82 @p77 @p53 @p73 @p71 @p69 @p65 @p63) :args (@t74 (@list false false true false false true true true true false true false) (@list @t90 @t57 @t86 @t89 @t82 @t79 @t63 @t56 @t76 @t78 @t71 @t75))) % 0.47/0.63 (step @p104 :rule cnf_or_pos :args (@t93)) % 0.47/0.63 (step @p105 :rule reordering :premises (@p104) :args ((or @t73 @t92 @t91 (not @t93)))) % 0.47/0.63 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p62 @p22) :args (@t91 (@list true false false) (@list @t73 @t67 @t93))) % 0.47/0.63 (assume-push @p113 @t3) % 0.47/0.63 (step @p108 :rule instantiate :premises (@p1) :args ((@list @t48))) % 0.47/0.63 (step-pop @p114 :rule scope :premises (@p108)) % 0.47/0.63 (step @p109 :rule process_scope :premises (@p114) :args ((not @t91))) % 0.47/0.63 (step @p111 :rule implies_elim :premises (@p109)) % 0.47/0.63 (step @p112 false :rule chain_m_resolution :premises (@p111 @p106 @p1) :args (false @t66 (@list @t91 @t3))) % 0.47/0.63 ) % 0.47/0.63 % SZS output end Proof % 0.47/0.63 % cvc5 exiting %------------------------------------------------------------------------------