%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO189+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:16:37 AM UTC 2026 % Result : Theorem 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO189+3 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 23:39:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Theorem % 0.46/0.64 % SZS output start Proof % 0.46/0.64 ( % 0.46/0.64 (declare-sort $$unsorted 0) % 0.46/0.64 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.line (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.point (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (define @t1 () (@var "X" $$unsorted)) % 0.46/0.64 (define @t2 () (@list @t1)) % 0.46/0.64 (define @t3 () (@var "Z" $$unsorted)) % 0.46/0.64 (define @t4 () (@var "Y" $$unsorted)) % 0.46/0.64 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.46/0.64 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.46/0.64 (define @t7 () (tptp.distinct_points @t1 @t4)) % 0.46/0.64 (define @t8 () (@list @t1 @t4 @t3)) % 0.46/0.64 (define @t9 () (tptp.distinct_lines @t4 @t3)) % 0.46/0.64 (define @t10 () (tptp.distinct_lines @t1 @t4)) % 0.46/0.64 (define @t11 () (tptp.convergent_lines @t4 @t3)) % 0.46/0.64 (define @t12 () (tptp.convergent_lines @t1 @t3)) % 0.46/0.64 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.46/0.64 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.46/0.64 (define @t15 () (not (tptp.apart_point_and_line @t1 @t14))) % 0.46/0.64 (define @t16 () (@list @t1 @t4)) % 0.46/0.64 (define @t17 () (forall @t16 (=> @t7 @t15))) % 0.46/0.64 (define @t18 () (not (tptp.apart_point_and_line @t4 @t14))) % 0.46/0.64 (define @t19 () (forall @t16 (=> @t7 @t18))) % 0.46/0.64 (define @t20 () (tptp.intersection_point @t1 @t4)) % 0.46/0.64 (define @t21 () (@var "V" $$unsorted)) % 0.46/0.64 (define @t22 () (tptp.apart_point_and_line @t4 @t21)) % 0.46/0.64 (define @t23 () (@var "U" $$unsorted)) % 0.46/0.64 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.46/0.64 (define @t25 () (tptp.apart_point_and_line @t1 @t21)) % 0.46/0.64 (define @t26 () (tptp.apart_point_and_line @t1 @t23)) % 0.46/0.64 (define @t27 () (or @t26 @t25 @t24 @t22)) % 0.46/0.64 (define @t28 () (tptp.distinct_lines @t23 @t21)) % 0.46/0.64 (define @t29 () (and @t7 @t28)) % 0.46/0.64 (define @t30 () (@list @t1 @t4 @t23 @t21)) % 0.46/0.64 (define @t31 () (forall @t30 (=> @t29 @t27))) % 0.46/0.64 (define @t32 () (tptp.apart_point_and_line @t1 @t4)) % 0.46/0.64 (define @t33 () (tptp.apart_point_and_line @t1 @t3)) % 0.46/0.64 (define @t34 () (or @t9 @t33)) % 0.46/0.64 (define @t35 () (forall @t8 (=> @t32 @t34))) % 0.46/0.64 (define @t36 () (tptp.parallel_through_point @t4 @t1)) % 0.46/0.64 (define @t37 () (@var "M" $$unsorted)) % 0.46/0.64 (define @t38 () (@var "L" $$unsorted)) % 0.46/0.64 (define @t39 () (tptp.unorthogonal_lines @t38 @t37)) % 0.46/0.64 (define @t40 () (tptp.convergent_lines @t38 @t37)) % 0.46/0.64 (define @t41 () (@list @t38 @t37)) % 0.46/0.64 (define @t42 () (@var "N" $$unsorted)) % 0.46/0.64 (define @t43 () (tptp.unorthogonal_lines @t37 @t42)) % 0.46/0.64 (define @t44 () (tptp.convergent_lines @t37 @t42)) % 0.46/0.64 (define @t45 () (tptp.unorthogonal_lines @t38 @t42)) % 0.46/0.64 (define @t46 () (tptp.convergent_lines @t38 @t42)) % 0.46/0.64 (define @t47 () (@list @t38 @t37 @t42)) % 0.46/0.64 (define @t48 () (@var "A" $$unsorted)) % 0.46/0.64 (define @t49 () (tptp.orthogonal_through_point @t38 @t48)) % 0.46/0.64 (define @t50 () (@list @t48 @t38)) % 0.46/0.64 (define @t51 () (not @t39)) % 0.46/0.64 (define @t52 () (not @t40)) % 0.46/0.64 (define @t53 () (not @t44)) % 0.46/0.64 (define @t54 () (not @t45)) % 0.46/0.64 (define @t55 () (@var "B" $$unsorted)) % 0.46/0.64 (define @t56 () (tptp.point @t48)) % 0.46/0.64 (define @t57 () (tptp.line @t38)) % 0.46/0.64 (define @t58 () (and @t57 @t56)) % 0.46/0.64 (define @t59 () (@list @t38 @t48)) % 0.46/0.64 (define @t60 () (not @t7)) % 0.46/0.64 (define @t61 () (not @t32)) % 0.46/0.64 (define @t62 () (tptp.incident_point_and_line @t4 (tptp.line_connecting @t1 @t3))) % 0.46/0.64 (define @t63 () (tptp.incident_point_and_line @t3 @t14)) % 0.46/0.64 (define @t64 () (and @t7 @t6 @t5 @t63)) % 0.46/0.64 (define @t65 () (forall @t8 (=> @t64 @t62))) % 0.46/0.64 (define @t66 () (not @t65)) % 0.46/0.64 (define @t67 () (not @t28)) % 0.46/0.64 (define @t68 () (or @t60 @t67 @t26 @t25 @t24 @t22)) % 0.46/0.64 (define @t69 () (not @t63)) % 0.46/0.64 (define @t70 () (not @t5)) % 0.46/0.64 (define @t71 () (not @t6)) % 0.46/0.64 (define @t72 () (or @t60 @t71 @t70 @t69 @t62)) % 0.46/0.64 (define @t73 () (forall @t8 @t72)) % 0.46/0.64 (define @t74 () (@quantifiers_skolemize @t73 1)) % 0.46/0.64 (define @t75 () (@quantifiers_skolemize @t73 0)) % 0.46/0.64 (define @t76 () (tptp.line_connecting @t75 @t74)) % 0.46/0.64 (define @t77 () (@quantifiers_skolemize @t73 2)) % 0.46/0.64 (define @t78 () (tptp.line_connecting @t75 @t77)) % 0.46/0.64 (define @t79 () (or @t60 @t71 @t70 @t69)) % 0.46/0.64 (define @t80 () (tptp.incident_point_and_line @t74 @t78)) % 0.46/0.64 (define @t81 () (tptp.incident_point_and_line @t77 @t76)) % 0.46/0.64 (define @t82 () (not @t81)) % 0.46/0.64 (define @t83 () (tptp.distinct_points @t75 @t77)) % 0.46/0.64 (define @t84 () (not @t83)) % 0.46/0.64 (define @t85 () (tptp.distinct_points @t75 @t74)) % 0.46/0.64 (define @t86 () (not @t85)) % 0.46/0.64 (define @t87 () (or @t86 @t84 (not (tptp.distinct_points @t74 @t77)) @t82 @t80)) % 0.46/0.64 (define @t88 () (@list true)) % 0.46/0.64 (define @t89 () (@list @t87)) % 0.46/0.64 (define @t90 () (tptp.apart_point_and_line @t74 @t78)) % 0.46/0.64 (define @t91 () (not @t90)) % 0.46/0.64 (define @t92 () (= @t80 @t91)) % 0.46/0.64 (define @t93 () (not @t92)) % 0.46/0.64 (define @t94 () (@list true false)) % 0.46/0.64 (define @t95 () (@list @t75 @t74)) % 0.46/0.64 (define @t96 () (tptp.apart_point_and_line @t74 @t76)) % 0.46/0.64 (define @t97 () (not @t96)) % 0.46/0.64 (define @t98 () (or @t86 @t97)) % 0.46/0.64 (define @t99 () (@list false false)) % 0.46/0.64 (define @t100 () (tptp.distinct_lines @t78 @t76)) % 0.46/0.64 (define @t101 () (or @t91 @t100 @t96)) % 0.46/0.64 (define @t102 () (tptp.apart_point_and_line @t77 @t76)) % 0.46/0.64 (define @t103 () (not @t102)) % 0.46/0.64 (define @t104 () (= @t81 @t103)) % 0.46/0.64 (define @t105 () (@list @t75 @t77)) % 0.46/0.64 (define @t106 () (tptp.apart_point_and_line @t77 @t78)) % 0.46/0.64 (define @t107 () (not @t106)) % 0.46/0.64 (define @t108 () (or @t84 @t107)) % 0.46/0.64 (define @t109 () (tptp.apart_point_and_line @t75 @t78)) % 0.46/0.64 (define @t110 () (not @t109)) % 0.46/0.64 (define @t111 () (or @t84 @t110)) % 0.46/0.64 (define @t112 () (tptp.apart_point_and_line @t75 @t76)) % 0.46/0.64 (define @t113 () (not @t112)) % 0.46/0.64 (define @t114 () (or @t86 @t113)) % 0.46/0.64 (define @t115 () (not @t100)) % 0.46/0.64 (define @t116 () (or @t84 @t115 @t109 @t112 @t106 @t102)) % 0.46/0.64 (define @t117 () (not @t116)) % 0.46/0.64 (define @t118 () (forall @t30 @t68)) % 0.46/0.64 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.46/0.64 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.46/0.64 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.46/0.64 (assume @p4 (forall @t8 (=> @t7 (or @t6 @t5)))) % 0.46/0.64 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t3) @t9)))) % 0.46/0.64 (assume @p6 (forall @t8 (=> @t13 (or @t12 @t11)))) % 0.46/0.64 (assume @p7 @t17) % 0.46/0.64 (assume @p8 @t19) % 0.46/0.64 (assume @p9 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t20 @t1))))) % 0.46/0.64 (assume @p10 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t20 @t4))))) % 0.46/0.64 (assume @p11 @t31) % 0.46/0.64 (assume @p12 (forall @t8 (=> @t32 (or @t6 (tptp.apart_point_and_line @t3 @t4))))) % 0.46/0.64 (assume @p13 @t35) % 0.46/0.64 (assume @p14 (forall @t8 (=> @t13 (or @t9 @t12)))) % 0.46/0.64 (assume @p15 (forall @t16 (=> @t10 @t13))) % 0.46/0.64 (assume @p16 (forall @t16 (not (tptp.convergent_lines @t36 @t4)))) % 0.46/0.64 (assume @p17 (forall @t16 (not (tptp.apart_point_and_line @t1 @t36)))) % 0.46/0.64 (assume @p18 (forall @t8 (=> @t9 (or @t32 @t33 @t11)))) % 0.46/0.64 (assume @p19 (forall @t41 (or @t40 @t39))) % 0.46/0.64 (assume @p20 (forall @t47 (=> (and @t40 @t39) (or (and @t46 @t45) (and @t44 @t43))))) % 0.46/0.64 (assume @p21 (forall @t50 (not (tptp.unorthogonal_lines @t49 @t38)))) % 0.46/0.64 (assume @p22 (forall @t50 (not (tptp.apart_point_and_line @t48 @t49)))) % 0.46/0.64 (assume @p23 (forall (@list @t48 @t38 @t37 @t42) (=> (tptp.distinct_lines @t38 @t37) (or (tptp.apart_point_and_line @t48 @t38) (tptp.apart_point_and_line @t48 @t37) @t45 @t43)))) % 0.46/0.64 (assume @p24 (forall @t41 (not (and @t52 @t51)))) % 0.46/0.64 (assume @p25 (forall @t47 (=> (and (or @t52 @t51) (or (not @t46) @t54)) (or @t53 (not @t43))))) % 0.46/0.64 (assume @p26 (forall @t47 (=> (and @t51 @t54) @t53))) % 0.46/0.64 (assume @p27 (forall (@list @t48 @t55) (=> (and @t56 (tptp.point @t55) (tptp.distinct_points @t48 @t55)) (tptp.line (tptp.line_connecting @t48 @t55))))) % 0.46/0.64 (assume @p28 (forall @t41 (=> (and @t57 (tptp.line @t37) @t40) (tptp.point (tptp.intersection_point @t38 @t37))))) % 0.46/0.64 (assume @p29 (forall @t59 (=> @t58 (tptp.line (tptp.parallel_through_point @t38 @t48))))) % 0.46/0.64 (assume @p30 (forall @t59 (=> @t58 (tptp.line @t49)))) % 0.46/0.64 (assume @p31 (forall @t16 (= (tptp.equal_points @t1 @t4) @t60))) % 0.46/0.64 (assume @p32 (forall @t16 (= (tptp.equal_lines @t1 @t4) (not @t10)))) % 0.46/0.64 (assume @p33 (forall @t16 (= (tptp.parallel_lines @t1 @t4) (not @t13)))) % 0.46/0.64 (assume @p34 (forall @t16 (= (tptp.incident_point_and_line @t1 @t4) @t61))) % 0.46/0.64 (assume @p35 (forall @t16 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.46/0.64 (assume @p36 @t66) % 0.46/0.64 (assume @p37 true) % 0.46/0.64 (step @p38 :rule aci_norm :args ((= (or (or @t60 @t67) @t27) @t68))) % 0.46/0.64 (step @p39 :rule refl :args (@t27)) % 0.46/0.64 (step @p40 :rule bool-and-de-morgan :args (@t7 @t28 true)) % 0.46/0.64 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t29) @t27))) % 0.46/0.64 (step @p42 :rule trans :premises (@p41 @p38)) % 0.46/0.64 (step @p43 :rule bool-impl-elim :args (@t29 @t27)) % 0.46/0.64 (step @p44 :rule trans :premises (@p43 @p42)) % 0.46/0.64 (step @p45 :rule cong :premises (@p44) :args (@t31)) % 0.46/0.64 (step @p46 :rule eq_resolve :premises (@p11 @p45)) % 0.46/0.64 (step @p47 :rule aci_norm :args ((= (or @t61 @t34) (or @t61 @t9 @t33)))) % 0.46/0.64 (step @p48 :rule bool-impl-elim :args (@t32 @t34)) % 0.46/0.64 (step @p49 :rule trans :premises (@p48 @p47)) % 0.46/0.64 (step @p50 :rule cong :premises (@p49) :args (@t35)) % 0.46/0.64 (step @p51 :rule eq_resolve :premises (@p13 @p50)) % 0.46/0.64 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t74 @t78 @t76))) % 0.46/0.64 (step @p53 :rule instantiate :premises (@p34) :args ((@list @t74 @t78))) % 0.46/0.64 (step @p54 :rule aci_norm :args ((= (or @t79 @t62) @t72))) % 0.46/0.64 (step @p55 :rule refl :args (@t62)) % 0.46/0.64 (step @p56 :rule aci_norm :args ((= (or @t60 (or @t71 (or @t70 @t69))) @t79))) % 0.46/0.64 (step @p57 :rule bool-and-de-morgan :args (@t5 @t63 true)) % 0.46/0.64 (step @p58 :rule refl :args (@t71)) % 0.46/0.64 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t71 (not (and @t5 @t63))))) % 0.46/0.64 (step @p60 :rule bool-and-de-morgan :args (@t6 @t5 (and @t63))) % 0.46/0.64 (step @p61 :rule trans :premises (@p60 @p59)) % 0.46/0.64 (step @p62 :rule refl :args (@t60)) % 0.46/0.64 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t60 (not (and @t6 @t5 @t63))))) % 0.46/0.64 (step @p64 :rule bool-and-de-morgan :args (@t7 @t6 (and @t5 @t63))) % 0.46/0.64 (step @p65 :rule trans :premises (@p64 @p63)) % 0.46/0.64 (step @p66 :rule trans :premises (@p65 @p56)) % 0.46/0.64 (step @p67 :rule nary_cong :premises (@p66 @p55) :args ((or (not @t64) @t62))) % 0.46/0.64 (step @p68 :rule trans :premises (@p67 @p54)) % 0.46/0.64 (step @p69 :rule bool-impl-elim :args (@t64 @t62)) % 0.46/0.64 (step @p70 :rule trans :premises (@p69 @p68)) % 0.46/0.64 (step @p71 :rule cong :premises (@p70) :args (@t65)) % 0.46/0.64 (step @p72 :rule cong :premises (@p71) :args (@t66)) % 0.46/0.64 (step @p73 :rule eq_resolve :premises (@p36 @p72)) % 0.46/0.64 (step @p74 :rule skolemize :premises (@p73)) % 0.46/0.64 (step @p75 :rule cnf_or_neg :args (@t87 4)) % 0.46/0.64 (step @p76 :rule chain_m_resolution :premises (@p75 @p74) :args ((not @t80) @t88 @t89)) % 0.46/0.64 (step @p77 :rule bool-double-not-elim :args (@t90)) % 0.46/0.64 (step @p78 :rule refl :args (@t80)) % 0.46/0.64 (step @p79 :rule refl :args (@t93)) % 0.46/0.64 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args ((or @t93 @t80 (not @t91)))) % 0.46/0.64 (step @p81 :rule cnf_equiv_pos2 :args (@t92)) % 0.46/0.64 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.46/0.64 (step @p83 :rule reordering :premises (@p82) :args ((or @t80 @t90 @t93))) % 0.46/0.64 (step @p84 :rule chain_m_resolution :premises (@p83 @p76 @p53) :args (@t90 @t94 (@list @t80 @t92))) % 0.46/0.64 (step @p85 :rule bool-impl-elim :args (@t7 @t18)) % 0.46/0.64 (step @p86 :rule cong :premises (@p85) :args (@t19)) % 0.46/0.64 (step @p87 :rule eq_resolve :premises (@p8 @p86)) % 0.46/0.64 (step @p88 :rule instantiate :premises (@p87) :args (@t95)) % 0.46/0.64 (step @p89 :rule bool-double-not-elim :args (@t85)) % 0.46/0.64 (step @p90 :rule refl :args (@t87)) % 0.46/0.64 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t87 (not @t86)))) % 0.46/0.64 (step @p92 :rule cnf_or_neg :args (@t87 0)) % 0.46/0.64 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.46/0.64 (step @p94 :rule reordering :premises (@p93) :args ((or @t85 @t87))) % 0.46/0.64 (step @p95 :rule chain_m_resolution :premises (@p94 @p74) :args (@t85 @t88 @t89)) % 0.46/0.64 (step @p96 :rule cnf_or_pos :args (@t98)) % 0.46/0.64 (step @p97 :rule reordering :premises (@p96) :args ((or @t86 @t97 (not @t98)))) % 0.46/0.64 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p88) :args (@t97 @t99 (@list @t85 @t98))) % 0.46/0.64 (step @p99 :rule cnf_or_pos :args (@t101)) % 0.46/0.64 (step @p100 :rule reordering :premises (@p99) :args ((or @t96 @t91 @t100 (not @t101)))) % 0.46/0.64 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p84 @p52) :args (@t100 (@list true false false) (@list @t96 @t90 @t101))) % 0.46/0.64 (step @p102 :rule instantiate :premises (@p34) :args ((@list @t77 @t76))) % 0.46/0.64 (step @p103 :rule bool-double-not-elim :args (@t81)) % 0.46/0.64 (step @p104 :rule nary_cong :premises (@p90 @p103) :args ((or @t87 (not @t82)))) % 0.46/0.64 (step @p105 :rule cnf_or_neg :args (@t87 3)) % 0.46/0.64 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.46/0.64 (step @p107 :rule reordering :premises (@p106) :args ((or @t81 @t87))) % 0.46/0.64 (step @p108 :rule chain_m_resolution :premises (@p107 @p74) :args (@t81 @t88 @t89)) % 0.46/0.64 (step @p109 :rule cnf_equiv_pos1 :args (@t104)) % 0.46/0.64 (step @p110 :rule reordering :premises (@p109) :args ((or @t82 @t103 (not @t104)))) % 0.46/0.64 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p102) :args (@t103 @t99 (@list @t81 @t104))) % 0.46/0.64 (step @p112 :rule instantiate :premises (@p87) :args (@t105)) % 0.46/0.64 (step @p113 :rule bool-double-not-elim :args (@t83)) % 0.46/0.64 (step @p114 :rule nary_cong :premises (@p90 @p113) :args ((or @t87 (not @t84)))) % 0.46/0.64 (step @p115 :rule cnf_or_neg :args (@t87 1)) % 0.46/0.64 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.46/0.64 (step @p117 :rule reordering :premises (@p116) :args ((or @t83 @t87))) % 0.46/0.64 (step @p118 :rule chain_m_resolution :premises (@p117 @p74) :args (@t83 @t88 @t89)) % 0.46/0.64 (step @p119 :rule cnf_or_pos :args (@t108)) % 0.46/0.64 (step @p120 :rule reordering :premises (@p119) :args ((or @t84 @t107 (not @t108)))) % 0.46/0.64 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p112) :args (@t107 @t99 (@list @t83 @t108))) % 0.46/0.64 (step @p122 :rule bool-impl-elim :args (@t7 @t15)) % 0.46/0.64 (step @p123 :rule cong :premises (@p122) :args (@t17)) % 0.46/0.64 (step @p124 :rule eq_resolve :premises (@p7 @p123)) % 0.46/0.64 (step @p125 :rule instantiate :premises (@p124) :args (@t105)) % 0.46/0.64 (step @p126 :rule cnf_or_pos :args (@t111)) % 0.46/0.64 (step @p127 :rule reordering :premises (@p126) :args ((or @t84 @t110 (not @t111)))) % 0.46/0.64 (step @p128 :rule chain_m_resolution :premises (@p127 @p118 @p125) :args (@t110 @t99 (@list @t83 @t111))) % 0.46/0.64 (step @p129 :rule instantiate :premises (@p124) :args (@t95)) % 0.46/0.64 (step @p130 :rule cnf_or_pos :args (@t114)) % 0.46/0.64 (step @p131 :rule reordering :premises (@p130) :args ((or @t86 @t113 (not @t114)))) % 0.46/0.64 (step @p132 :rule chain_m_resolution :premises (@p131 @p95 @p129) :args (@t113 @t99 (@list @t85 @t114))) % 0.46/0.64 (step @p133 :rule cnf_or_pos :args (@t116)) % 0.46/0.64 (step @p134 :rule reordering :premises (@p133) :args ((or @t84 @t112 @t109 @t106 @t102 @t115 @t117))) % 0.46/0.64 (step @p135 :rule chain_m_resolution :premises (@p134 @p118 @p132 @p128 @p121 @p111 @p101) :args (@t117 (@list false true true true true false) (@list @t83 @t112 @t109 @t106 @t102 @t100))) % 0.46/0.64 (assume-push @p142 @t118) % 0.46/0.64 (step @p137 :rule instantiate :premises (@p46) :args ((@list @t75 @t77 @t78 @t76))) % 0.46/0.64 (step-pop @p143 :rule scope :premises (@p137)) % 0.46/0.64 (step @p138 :rule process_scope :premises (@p143) :args (@t116)) % 0.46/0.64 (step @p140 :rule implies_elim :premises (@p138)) % 0.46/0.64 (step @p141 false :rule chain_m_resolution :premises (@p140 @p135 @p46) :args (false @t94 (@list @t116 @t118))) % 0.46/0.64 ) % 0.46/0.64 % SZS output end Proof % 0.46/0.64 % cvc5 exiting %------------------------------------------------------------------------------