%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO181+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 : n006.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 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO181+3 : TPTP v9.2.1. Released v4.0.0. % 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 : n006.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 23:38:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.64 % SZS status Theorem % 0.45/0.64 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort $$unsorted 0) % 0.45/0.64 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.line (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.point (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (define @t1 () (@var "X" $$unsorted)) % 0.45/0.64 (define @t2 () (@list @t1)) % 0.45/0.64 (define @t3 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.45/0.64 (define @t4 () (@var "Z" $$unsorted)) % 0.45/0.64 (define @t5 () (@var "Y" $$unsorted)) % 0.45/0.64 (define @t6 () (tptp.distinct_points @t5 @t4)) % 0.45/0.64 (define @t7 () (tptp.distinct_points @t1 @t4)) % 0.45/0.64 (define @t8 () (or @t7 @t6)) % 0.45/0.64 (define @t9 () (tptp.distinct_points @t1 @t5)) % 0.45/0.64 (define @t10 () (@list @t1 @t5 @t4)) % 0.45/0.64 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.45/0.64 (define @t12 () (tptp.distinct_lines @t5 @t4)) % 0.45/0.64 (define @t13 () (tptp.distinct_lines @t1 @t5)) % 0.45/0.64 (define @t14 () (tptp.convergent_lines @t5 @t4)) % 0.45/0.64 (define @t15 () (tptp.convergent_lines @t1 @t4)) % 0.45/0.64 (define @t16 () (tptp.convergent_lines @t1 @t5)) % 0.45/0.64 (define @t17 () (tptp.line_connecting @t1 @t5)) % 0.45/0.64 (define @t18 () (not (tptp.apart_point_and_line @t1 @t17))) % 0.45/0.64 (define @t19 () (@list @t1 @t5)) % 0.45/0.64 (define @t20 () (forall @t19 (=> @t9 @t18))) % 0.45/0.64 (define @t21 () (not (tptp.apart_point_and_line @t5 @t17))) % 0.45/0.64 (define @t22 () (forall @t19 (=> @t9 @t21))) % 0.45/0.64 (define @t23 () (tptp.intersection_point @t1 @t5)) % 0.45/0.64 (define @t24 () (@var "V" $$unsorted)) % 0.45/0.64 (define @t25 () (tptp.apart_point_and_line @t5 @t24)) % 0.45/0.64 (define @t26 () (@var "U" $$unsorted)) % 0.45/0.64 (define @t27 () (tptp.apart_point_and_line @t5 @t26)) % 0.45/0.64 (define @t28 () (tptp.apart_point_and_line @t1 @t24)) % 0.45/0.64 (define @t29 () (tptp.apart_point_and_line @t1 @t26)) % 0.45/0.64 (define @t30 () (or @t29 @t28 @t27 @t25)) % 0.45/0.64 (define @t31 () (tptp.distinct_lines @t26 @t24)) % 0.45/0.64 (define @t32 () (and @t9 @t31)) % 0.45/0.64 (define @t33 () (forall (@list @t1 @t5 @t26 @t24) (=> @t32 @t30))) % 0.45/0.64 (define @t34 () (tptp.apart_point_and_line @t4 @t5)) % 0.45/0.64 (define @t35 () (or @t7 @t34)) % 0.45/0.64 (define @t36 () (tptp.apart_point_and_line @t1 @t5)) % 0.45/0.64 (define @t37 () (forall @t10 (=> @t36 @t35))) % 0.45/0.64 (define @t38 () (tptp.apart_point_and_line @t1 @t4)) % 0.45/0.64 (define @t39 () (or @t12 @t38)) % 0.45/0.64 (define @t40 () (forall @t10 (=> @t36 @t39))) % 0.45/0.64 (define @t41 () (tptp.parallel_through_point @t5 @t1)) % 0.45/0.64 (define @t42 () (@var "M" $$unsorted)) % 0.45/0.64 (define @t43 () (@var "L" $$unsorted)) % 0.45/0.64 (define @t44 () (tptp.unorthogonal_lines @t43 @t42)) % 0.45/0.64 (define @t45 () (tptp.convergent_lines @t43 @t42)) % 0.45/0.64 (define @t46 () (@list @t43 @t42)) % 0.45/0.64 (define @t47 () (@var "N" $$unsorted)) % 0.45/0.64 (define @t48 () (tptp.unorthogonal_lines @t42 @t47)) % 0.45/0.64 (define @t49 () (tptp.convergent_lines @t42 @t47)) % 0.45/0.64 (define @t50 () (tptp.unorthogonal_lines @t43 @t47)) % 0.45/0.64 (define @t51 () (tptp.convergent_lines @t43 @t47)) % 0.45/0.64 (define @t52 () (@list @t43 @t42 @t47)) % 0.45/0.64 (define @t53 () (@var "A" $$unsorted)) % 0.45/0.64 (define @t54 () (tptp.orthogonal_through_point @t43 @t53)) % 0.45/0.64 (define @t55 () (@list @t53 @t43)) % 0.45/0.64 (define @t56 () (not @t44)) % 0.45/0.64 (define @t57 () (not @t45)) % 0.45/0.64 (define @t58 () (not @t49)) % 0.45/0.64 (define @t59 () (not @t50)) % 0.45/0.64 (define @t60 () (@var "B" $$unsorted)) % 0.45/0.64 (define @t61 () (tptp.point @t53)) % 0.45/0.64 (define @t62 () (tptp.line @t43)) % 0.45/0.64 (define @t63 () (and @t62 @t61)) % 0.45/0.64 (define @t64 () (@list @t43 @t53)) % 0.45/0.64 (define @t65 () (not @t9)) % 0.45/0.64 (define @t66 () (not @t36)) % 0.45/0.64 (define @t67 () (tptp.apart_point_and_line @t5 (tptp.line_connecting @t1 @t4))) % 0.45/0.64 (define @t68 () (tptp.apart_point_and_line @t4 @t17)) % 0.45/0.64 (define @t69 () (=> @t68 @t67)) % 0.45/0.64 (define @t70 () (forall @t10 (=> @t9 @t69))) % 0.45/0.64 (define @t71 () (not @t70)) % 0.45/0.64 (define @t72 () (not @t68)) % 0.45/0.64 (define @t73 () (or @t65 @t72 @t67)) % 0.45/0.64 (define @t74 () (forall @t10 @t73)) % 0.45/0.64 (define @t75 () (@quantifiers_skolemize @t74 2)) % 0.45/0.64 (define @t76 () (@quantifiers_skolemize @t74 0)) % 0.45/0.64 (define @t77 () (@quantifiers_skolemize @t74 1)) % 0.45/0.64 (define @t78 () (tptp.line_connecting @t76 @t77)) % 0.45/0.64 (define @t79 () (@list @t76 @t77)) % 0.45/0.64 (define @t80 () (tptp.distinct_points @t76 @t77)) % 0.45/0.64 (define @t81 () (tptp.line_connecting @t76 @t75)) % 0.45/0.64 (define @t82 () (tptp.apart_point_and_line @t77 @t81)) % 0.45/0.64 (define @t83 () (tptp.apart_point_and_line @t75 @t78)) % 0.45/0.64 (define @t84 () (not @t83)) % 0.45/0.64 (define @t85 () (not @t80)) % 0.45/0.64 (define @t86 () (or @t85 @t84 @t82)) % 0.45/0.64 (define @t87 () (@list true)) % 0.45/0.64 (define @t88 () (@list @t86)) % 0.45/0.64 (define @t89 () (tptp.apart_point_and_line @t76 @t78)) % 0.45/0.64 (define @t90 () (not @t89)) % 0.45/0.64 (define @t91 () (or @t85 @t90)) % 0.45/0.64 (define @t92 () (@list false false)) % 0.45/0.64 (define @t93 () (tptp.distinct_points @t75 @t76)) % 0.45/0.64 (define @t94 () (or @t84 @t93 @t89)) % 0.45/0.64 (define @t95 () (@list @t76 @t75)) % 0.45/0.64 (define @t96 () (tptp.apart_point_and_line @t76 @t81)) % 0.45/0.64 (define @t97 () (not @t96)) % 0.45/0.64 (define @t98 () (tptp.distinct_points @t76 @t75)) % 0.45/0.64 (define @t99 () (not @t98)) % 0.45/0.64 (define @t100 () (or @t99 @t97)) % 0.45/0.64 (define @t101 () (tptp.apart_point_and_line @t75 @t81)) % 0.45/0.64 (define @t102 () (not @t101)) % 0.45/0.64 (define @t103 () (or @t99 @t102)) % 0.45/0.64 (define @t104 () (tptp.apart_point_and_line @t77 @t78)) % 0.45/0.64 (define @t105 () (not @t104)) % 0.45/0.64 (define @t106 () (or @t85 @t105)) % 0.45/0.64 (define @t107 () (not @t31)) % 0.45/0.64 (define @t108 () (tptp.distinct_lines @t78 @t81)) % 0.45/0.64 (define @t109 () (not @t108)) % 0.45/0.64 (define @t110 () (or @t85 @t109 @t89 @t96 @t104 @t82)) % 0.45/0.64 (define @t111 () (or @t84 @t108 @t101)) % 0.45/0.64 (define @t112 () (tptp.distinct_points @t75 @t75)) % 0.45/0.64 (define @t113 () (not @t93)) % 0.45/0.64 (define @t114 () (or @t113 @t112 @t98)) % 0.45/0.64 (assume @p1 @t3) % 0.45/0.64 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.45/0.64 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.45/0.64 (assume @p4 @t11) % 0.45/0.64 (assume @p5 (forall @t10 (=> @t13 (or (tptp.distinct_lines @t1 @t4) @t12)))) % 0.45/0.64 (assume @p6 (forall @t10 (=> @t16 (or @t15 @t14)))) % 0.45/0.64 (assume @p7 @t20) % 0.45/0.64 (assume @p8 @t22) % 0.45/0.64 (assume @p9 (forall @t19 (=> @t16 (not (tptp.apart_point_and_line @t23 @t1))))) % 0.45/0.64 (assume @p10 (forall @t19 (=> @t16 (not (tptp.apart_point_and_line @t23 @t5))))) % 0.45/0.64 (assume @p11 @t33) % 0.45/0.64 (assume @p12 @t37) % 0.45/0.64 (assume @p13 @t40) % 0.45/0.64 (assume @p14 (forall @t10 (=> @t16 (or @t12 @t15)))) % 0.45/0.64 (assume @p15 (forall @t19 (=> @t13 @t16))) % 0.45/0.64 (assume @p16 (forall @t19 (not (tptp.convergent_lines @t41 @t5)))) % 0.45/0.64 (assume @p17 (forall @t19 (not (tptp.apart_point_and_line @t1 @t41)))) % 0.45/0.64 (assume @p18 (forall @t10 (=> @t12 (or @t36 @t38 @t14)))) % 0.45/0.64 (assume @p19 (forall @t46 (or @t45 @t44))) % 0.45/0.64 (assume @p20 (forall @t52 (=> (and @t45 @t44) (or (and @t51 @t50) (and @t49 @t48))))) % 0.45/0.64 (assume @p21 (forall @t55 (not (tptp.unorthogonal_lines @t54 @t43)))) % 0.45/0.64 (assume @p22 (forall @t55 (not (tptp.apart_point_and_line @t53 @t54)))) % 0.45/0.64 (assume @p23 (forall (@list @t53 @t43 @t42 @t47) (=> (tptp.distinct_lines @t43 @t42) (or (tptp.apart_point_and_line @t53 @t43) (tptp.apart_point_and_line @t53 @t42) @t50 @t48)))) % 0.45/0.64 (assume @p24 (forall @t46 (not (and @t57 @t56)))) % 0.45/0.64 (assume @p25 (forall @t52 (=> (and (or @t57 @t56) (or (not @t51) @t59)) (or @t58 (not @t48))))) % 0.45/0.64 (assume @p26 (forall @t52 (=> (and @t56 @t59) @t58))) % 0.45/0.64 (assume @p27 (forall (@list @t53 @t60) (=> (and @t61 (tptp.point @t60) (tptp.distinct_points @t53 @t60)) (tptp.line (tptp.line_connecting @t53 @t60))))) % 0.45/0.64 (assume @p28 (forall @t46 (=> (and @t62 (tptp.line @t42) @t45) (tptp.point (tptp.intersection_point @t43 @t42))))) % 0.45/0.64 (assume @p29 (forall @t64 (=> @t63 (tptp.line (tptp.parallel_through_point @t43 @t53))))) % 0.45/0.64 (assume @p30 (forall @t64 (=> @t63 (tptp.line @t54)))) % 0.45/0.64 (assume @p31 (forall @t19 (= (tptp.equal_points @t1 @t5) @t65))) % 0.45/0.64 (assume @p32 (forall @t19 (= (tptp.equal_lines @t1 @t5) (not @t13)))) % 0.45/0.64 (assume @p33 (forall @t19 (= (tptp.parallel_lines @t1 @t5) (not @t16)))) % 0.45/0.64 (assume @p34 (forall @t19 (= (tptp.incident_point_and_line @t1 @t5) @t66))) % 0.45/0.64 (assume @p35 (forall @t19 (= (tptp.orthogonal_lines @t1 @t5) (not (tptp.unorthogonal_lines @t1 @t5))))) % 0.45/0.64 (assume @p36 @t71) % 0.45/0.64 (assume @p37 true) % 0.45/0.64 (step @p38 :rule aci_norm :args ((= (or @t65 @t8) (or @t65 @t7 @t6)))) % 0.45/0.64 (step @p39 :rule bool-impl-elim :args (@t9 @t8)) % 0.45/0.64 (step @p40 :rule trans :premises (@p39 @p38)) % 0.45/0.64 (step @p41 :rule cong :premises (@p40) :args (@t11)) % 0.45/0.64 (step @p42 :rule eq_resolve :premises (@p4 @p41)) % 0.45/0.64 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t75 @t76 @t75))) % 0.45/0.64 (step @p44 :rule aci_norm :args ((= (or @t66 @t35) (or @t66 @t7 @t34)))) % 0.45/0.64 (step @p45 :rule bool-impl-elim :args (@t36 @t35)) % 0.45/0.64 (step @p46 :rule trans :premises (@p45 @p44)) % 0.45/0.64 (step @p47 :rule cong :premises (@p46) :args (@t37)) % 0.45/0.64 (step @p48 :rule eq_resolve :premises (@p12 @p47)) % 0.45/0.64 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t75 @t78 @t76))) % 0.45/0.64 (step @p50 :rule bool-impl-elim :args (@t9 @t18)) % 0.45/0.64 (step @p51 :rule cong :premises (@p50) :args (@t20)) % 0.45/0.64 (step @p52 :rule eq_resolve :premises (@p7 @p51)) % 0.45/0.64 (step @p53 :rule instantiate :premises (@p52) :args (@t79)) % 0.45/0.64 (step @p54 :rule aci_norm :args ((= (or @t65 (or @t72 @t67)) @t73))) % 0.45/0.64 (step @p55 :rule bool-impl-elim :args (@t68 @t67)) % 0.45/0.64 (step @p56 :rule refl :args (@t65)) % 0.45/0.64 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t65 @t69))) % 0.45/0.64 (step @p58 :rule trans :premises (@p57 @p54)) % 0.45/0.64 (step @p59 :rule bool-impl-elim :args (@t9 @t69)) % 0.45/0.64 (step @p60 :rule trans :premises (@p59 @p58)) % 0.45/0.64 (step @p61 :rule cong :premises (@p60) :args (@t70)) % 0.45/0.64 (step @p62 :rule cong :premises (@p61) :args (@t71)) % 0.45/0.64 (step @p63 :rule eq_resolve :premises (@p36 @p62)) % 0.45/0.64 (step @p64 :rule skolemize :premises (@p63)) % 0.45/0.64 (step @p65 :rule bool-double-not-elim :args (@t80)) % 0.45/0.64 (step @p66 :rule refl :args (@t86)) % 0.45/0.64 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t86 (not @t85)))) % 0.45/0.64 (step @p68 :rule cnf_or_neg :args (@t86 0)) % 0.45/0.64 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.45/0.64 (step @p70 :rule reordering :premises (@p69) :args ((or @t80 @t86))) % 0.45/0.64 (step @p71 :rule chain_m_resolution :premises (@p70 @p64) :args (@t80 @t87 @t88)) % 0.45/0.64 (step @p72 :rule cnf_or_pos :args (@t91)) % 0.45/0.64 (step @p73 :rule reordering :premises (@p72) :args ((or @t85 @t90 (not @t91)))) % 0.45/0.64 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p53) :args (@t90 @t92 (@list @t80 @t91))) % 0.45/0.64 (step @p75 :rule bool-double-not-elim :args (@t83)) % 0.45/0.64 (step @p76 :rule nary_cong :premises (@p66 @p75) :args ((or @t86 (not @t84)))) % 0.45/0.64 (step @p77 :rule cnf_or_neg :args (@t86 1)) % 0.45/0.64 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.45/0.64 (step @p79 :rule reordering :premises (@p78) :args ((or @t83 @t86))) % 0.45/0.64 (step @p80 :rule chain_m_resolution :premises (@p79 @p64) :args (@t83 @t87 @t88)) % 0.45/0.64 (step @p81 :rule cnf_or_pos :args (@t94)) % 0.45/0.64 (step @p82 :rule reordering :premises (@p81) :args ((or @t84 @t89 @t93 (not @t94)))) % 0.45/0.64 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p74 @p49) :args (@t93 (@list false true false) (@list @t83 @t89 @t94))) % 0.45/0.64 (step @p84 :rule instantiate :premises (@p52) :args (@t95)) % 0.45/0.64 (step @p85 :rule cnf_or_pos :args (@t100)) % 0.45/0.64 (step @p86 :rule reordering :premises (@p85) :args ((or @t99 @t97 (not @t100)))) % 0.45/0.64 (step @p87 :rule bool-impl-elim :args (@t9 @t21)) % 0.45/0.64 (step @p88 :rule cong :premises (@p87) :args (@t22)) % 0.45/0.64 (step @p89 :rule eq_resolve :premises (@p8 @p88)) % 0.45/0.64 (step @p90 :rule instantiate :premises (@p89) :args (@t95)) % 0.45/0.64 (step @p91 :rule cnf_or_pos :args (@t103)) % 0.45/0.64 (step @p92 :rule reordering :premises (@p91) :args ((or @t99 @t102 (not @t103)))) % 0.45/0.64 (step @p93 :rule cnf_or_neg :args (@t86 2)) % 0.45/0.64 (step @p94 :rule chain_m_resolution :premises (@p93 @p64) :args ((not @t82) @t87 @t88)) % 0.45/0.64 (step @p95 :rule instantiate :premises (@p89) :args (@t79)) % 0.45/0.64 (step @p96 :rule cnf_or_pos :args (@t106)) % 0.45/0.64 (step @p97 :rule reordering :premises (@p96) :args ((or @t85 @t105 (not @t106)))) % 0.45/0.64 (step @p98 :rule chain_m_resolution :premises (@p97 @p71 @p95) :args (@t105 @t92 (@list @t80 @t106))) % 0.45/0.64 (step @p99 :rule aci_norm :args ((= (or (or @t65 @t107) @t30) (or @t65 @t107 @t29 @t28 @t27 @t25)))) % 0.45/0.64 (step @p100 :rule refl :args (@t30)) % 0.45/0.65 (step @p101 :rule bool-and-de-morgan :args (@t9 @t31 true)) % 0.45/0.65 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t32) @t30))) % 0.45/0.65 (step @p103 :rule trans :premises (@p102 @p99)) % 0.45/0.65 (step @p104 :rule bool-impl-elim :args (@t32 @t30)) % 0.45/0.65 (step @p105 :rule trans :premises (@p104 @p103)) % 0.45/0.65 (step @p106 :rule cong :premises (@p105) :args (@t33)) % 0.45/0.65 (step @p107 :rule eq_resolve :premises (@p11 @p106)) % 0.45/0.65 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t76 @t77 @t78 @t81))) % 0.45/0.65 (step @p109 :rule cnf_or_pos :args (@t110)) % 0.45/0.65 (step @p110 :rule reordering :premises (@p109) :args ((or @t85 @t82 @t89 @t96 @t104 @t109 (not @t110)))) % 0.45/0.65 (step @p111 :rule aci_norm :args ((= (or @t66 @t39) (or @t66 @t12 @t38)))) % 0.45/0.65 (step @p112 :rule bool-impl-elim :args (@t36 @t39)) % 0.45/0.65 (step @p113 :rule trans :premises (@p112 @p111)) % 0.45/0.65 (step @p114 :rule cong :premises (@p113) :args (@t40)) % 0.45/0.65 (step @p115 :rule eq_resolve :premises (@p13 @p114)) % 0.45/0.65 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t75 @t78 @t81))) % 0.45/0.65 (step @p117 :rule cnf_or_pos :args (@t111)) % 0.45/0.65 (step @p118 :rule reordering :premises (@p117) :args ((or @t84 @t101 @t108 (not @t111)))) % 0.45/0.65 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p80 @p110 @p108 @p98 @p74 @p94 @p71 @p92 @p90 @p86 @p84) :args (@t99 (@list false false true false true true true false true false true false) (@list @t111 @t83 @t108 @t110 @t104 @t89 @t82 @t80 @t101 @t103 @t96 @t100))) % 0.45/0.65 (step @p120 :rule cnf_or_pos :args (@t114)) % 0.45/0.65 (step @p121 :rule reordering :premises (@p120) :args ((or @t98 @t112 @t113 (not @t114)))) % 0.45/0.65 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p83 @p43) :args (@t112 (@list true false false) (@list @t98 @t93 @t114))) % 0.45/0.65 (assume-push @p129 @t3) % 0.45/0.65 (step @p124 :rule instantiate :premises (@p1) :args ((@list @t75))) % 0.45/0.65 (step-pop @p130 :rule scope :premises (@p124)) % 0.45/0.65 (step @p125 :rule process_scope :premises (@p130) :args ((not @t112))) % 0.45/0.65 (step @p127 :rule implies_elim :premises (@p125)) % 0.45/0.65 (step @p128 false :rule chain_m_resolution :premises (@p127 @p122 @p1) :args (false @t92 (@list @t112 @t3))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------