%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU783^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:53:11 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU783^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 : Tue Jun 2 17:51:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.binunionIL Bool) % 0.37/0.56 (declare-const tptp.breln1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t3 () (_ (_ tptp.binunion @t2) @t1)) % 0.37/0.56 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.56 (define @t5 () (_ tptp.in @t4)) % 0.37/0.56 (define @t6 () (_ @t5 @t3)) % 0.37/0.56 (define @t7 () (_ @t5 @t2)) % 0.37/0.56 (define @t8 () (@list @t2 @t1 @t4)) % 0.37/0.56 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.37/0.56 (define @t10 () (= tptp.binunionIL @t9)) % 0.37/0.56 (define @t11 () (@var "S" $$unsorted)) % 0.37/0.56 (define @t12 () (@var "R" $$unsorted)) % 0.37/0.56 (define @t13 () (_ (_ tptp.binunion @t12) @t11)) % 0.37/0.56 (define @t14 () (@var "Xy" $$unsorted)) % 0.37/0.56 (define @t15 () (_ (_ tptp.kpair @t4) @t14)) % 0.37/0.56 (define @t16 () (_ tptp.in @t15)) % 0.37/0.56 (define @t17 () (_ @t16 @t13)) % 0.37/0.56 (define @t18 () (_ @t16 @t12)) % 0.37/0.56 (define @t19 () (=> @t18 @t17)) % 0.37/0.56 (define @t20 () (_ (_ tptp.in @t14) @t2)) % 0.37/0.56 (define @t21 () (@list @t14)) % 0.37/0.56 (define @t22 () (forall @t21 (=> @t20 @t19))) % 0.37/0.56 (define @t23 () (=> @t7 @t22)) % 0.37/0.56 (define @t24 () (@list @t4)) % 0.37/0.56 (define @t25 () (forall @t24 @t23)) % 0.37/0.56 (define @t26 () (_ tptp.breln1 @t2)) % 0.37/0.56 (define @t27 () (_ @t26 @t11)) % 0.37/0.56 (define @t28 () (=> @t27 @t25)) % 0.37/0.56 (define @t29 () (@list @t11)) % 0.37/0.56 (define @t30 () (forall @t29 @t28)) % 0.37/0.56 (define @t31 () (_ @t26 @t12)) % 0.37/0.56 (define @t32 () (=> @t31 @t30)) % 0.37/0.56 (define @t33 () (@list @t2 @t12)) % 0.37/0.56 (define @t34 () (forall @t33 @t32)) % 0.37/0.56 (define @t35 () (=> tptp.binunionIL @t34)) % 0.37/0.56 (define @t36 () (not @t35)) % 0.37/0.56 (define @t37 () (@var "BOUND_VARIABLE_7542" $$unsorted)) % 0.37/0.56 (define @t38 () (@var "BOUND_VARIABLE_7546" $$unsorted)) % 0.37/0.56 (define @t39 () (@var "BOUND_VARIABLE_7544" $$unsorted)) % 0.37/0.56 (define @t40 () (tptp.kpair @t39 @t38)) % 0.37/0.56 (define @t41 () (tptp.in @t40 (tptp.binunion @t12 @t37))) % 0.37/0.56 (define @t42 () (not (tptp.in @t40 @t12))) % 0.37/0.56 (define @t43 () (not (tptp.in @t38 @t2))) % 0.37/0.56 (define @t44 () (not (tptp.in @t39 @t2))) % 0.37/0.56 (define @t45 () (not (tptp.breln1 @t2 @t37))) % 0.37/0.56 (define @t46 () (tptp.breln1 @t2 @t12)) % 0.37/0.56 (define @t47 () (not @t46)) % 0.37/0.56 (define @t48 () (or @t47 @t45 @t44 @t43 @t42 @t41)) % 0.37/0.56 (define @t49 () (@list @t2 @t12 @t37 @t39 @t38)) % 0.37/0.56 (define @t50 () (forall @t49 @t48)) % 0.37/0.56 (define @t51 () (tptp.binunion @t2 @t1)) % 0.37/0.56 (define @t52 () (tptp.in @t4 @t51)) % 0.37/0.56 (define @t53 () (tptp.in @t4 @t2)) % 0.37/0.56 (define @t54 () (not @t7)) % 0.37/0.56 (define @t55 () (or @t54 @t6)) % 0.37/0.56 (define @t56 () (=> tptp.binunionIL @t50)) % 0.37/0.56 (define @t57 () (or @t45 @t44 @t43 @t42 @t41)) % 0.37/0.56 (define @t58 () (or @t47 @t57)) % 0.37/0.56 (define @t59 () (forall @t49 @t58)) % 0.37/0.56 (define @t60 () (@list @t37 @t39 @t38)) % 0.37/0.56 (define @t61 () (forall @t60 @t58)) % 0.37/0.56 (define @t62 () (forall @t60 @t57)) % 0.37/0.56 (define @t63 () (@var "BOUND_VARIABLE_7517" $$unsorted)) % 0.37/0.56 (define @t64 () (@var "BOUND_VARIABLE_7515" $$unsorted)) % 0.37/0.56 (define @t65 () (or @t47 @t62)) % 0.37/0.56 (define @t66 () (tptp.binunion @t12 @t11)) % 0.37/0.56 (define @t67 () (tptp.kpair @t64 @t63)) % 0.37/0.56 (define @t68 () (tptp.in @t67 @t66)) % 0.37/0.56 (define @t69 () (not (tptp.in @t67 @t12))) % 0.37/0.56 (define @t70 () (not (tptp.in @t63 @t2))) % 0.37/0.56 (define @t71 () (not (tptp.in @t64 @t2))) % 0.37/0.56 (define @t72 () (tptp.breln1 @t2 @t11)) % 0.37/0.56 (define @t73 () (not @t72)) % 0.37/0.56 (define @t74 () (or @t73 @t71 @t70 @t69 @t68)) % 0.37/0.56 (define @t75 () (@list @t11 @t64 @t63)) % 0.37/0.56 (define @t76 () (forall @t75 @t74)) % 0.37/0.56 (define @t77 () (not @t31)) % 0.37/0.56 (define @t78 () (or @t77 @t76)) % 0.37/0.56 (define @t79 () (or @t71 @t70 @t69 @t68)) % 0.37/0.56 (define @t80 () (or @t73 @t79)) % 0.37/0.56 (define @t81 () (forall @t75 @t80)) % 0.37/0.56 (define @t82 () (@list @t64 @t63)) % 0.37/0.56 (define @t83 () (forall @t82 @t80)) % 0.37/0.56 (define @t84 () (forall @t82 @t79)) % 0.37/0.56 (define @t85 () (@var "BOUND_VARIABLE_7492" $$unsorted)) % 0.37/0.56 (define @t86 () (or @t73 @t84)) % 0.37/0.56 (define @t87 () (tptp.kpair @t4 @t85)) % 0.37/0.56 (define @t88 () (tptp.in @t87 @t66)) % 0.37/0.56 (define @t89 () (not (tptp.in @t87 @t12))) % 0.37/0.56 (define @t90 () (not (tptp.in @t85 @t2))) % 0.37/0.56 (define @t91 () (not @t53)) % 0.37/0.56 (define @t92 () (or @t91 @t90 @t89 @t88)) % 0.37/0.56 (define @t93 () (@list @t4 @t85)) % 0.37/0.56 (define @t94 () (forall @t93 @t92)) % 0.37/0.56 (define @t95 () (not @t27)) % 0.37/0.56 (define @t96 () (or @t95 @t94)) % 0.37/0.56 (define @t97 () (or @t90 @t89 @t88)) % 0.37/0.56 (define @t98 () (or @t91 @t97)) % 0.37/0.56 (define @t99 () (forall @t93 @t98)) % 0.37/0.56 (define @t100 () (@list @t85)) % 0.37/0.56 (define @t101 () (forall @t100 @t98)) % 0.37/0.56 (define @t102 () (forall @t100 @t97)) % 0.37/0.56 (define @t103 () (or @t91 @t102)) % 0.37/0.56 (define @t104 () (tptp.kpair @t4 @t14)) % 0.37/0.56 (define @t105 () (tptp.in @t104 @t66)) % 0.37/0.56 (define @t106 () (tptp.in @t104 @t12)) % 0.37/0.56 (define @t107 () (tptp.in @t14 @t2)) % 0.37/0.56 (define @t108 () (forall @t21 (or (not @t107) (not @t106) @t105))) % 0.37/0.56 (define @t109 () (or @t54 @t108)) % 0.37/0.56 (define @t110 () (_ tptp.in @t104)) % 0.37/0.56 (define @t111 () (not @t18)) % 0.37/0.56 (define @t112 () (not @t20)) % 0.37/0.56 (define @t113 () (or @t112 @t111 @t17)) % 0.37/0.56 (define @t114 () (@quantifiers_skolemize @t50 2)) % 0.37/0.56 (define @t115 () (@quantifiers_skolemize @t50 1)) % 0.37/0.56 (define @t116 () (@quantifiers_skolemize @t50 4)) % 0.37/0.56 (define @t117 () (@quantifiers_skolemize @t50 3)) % 0.37/0.56 (define @t118 () (tptp.kpair @t117 @t116)) % 0.37/0.56 (define @t119 () (tptp.in @t118 (tptp.binunion @t115 @t114))) % 0.37/0.56 (define @t120 () (tptp.in @t118 @t115)) % 0.37/0.56 (define @t121 () (not @t120)) % 0.37/0.56 (define @t122 () (@quantifiers_skolemize @t50 0)) % 0.37/0.56 (define @t123 () (or (not (tptp.breln1 @t122 @t115)) (not (tptp.breln1 @t122 @t114)) (not (tptp.in @t117 @t122)) (not (tptp.in @t116 @t122)) @t121 @t119)) % 0.37/0.56 (define @t124 () (@list true)) % 0.37/0.56 (define @t125 () (@list @t123)) % 0.37/0.56 (define @t126 () (or @t121 @t119)) % 0.37/0.56 (define @t127 () (not @t126)) % 0.37/0.56 (define @t128 () (forall @t8 (or @t91 @t52))) % 0.37/0.56 (assume @p1 @t10) % 0.37/0.56 (assume @p2 @t36) % 0.37/0.56 (assume @p3 true) % 0.37/0.56 (step @p4 :rule refl :args (@t50)) % 0.37/0.56 (step @p5 :rule refl :args ((tptp.in @t4 @t3))) % 0.37/0.56 (step @p6 :rule refl :args (@t51)) % 0.37/0.56 (step @p7 :rule refl :args (@t4)) % 0.37/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args (@t52)) % 0.37/0.56 (step @p9 :rule trans :premises (@p8 @p5)) % 0.37/0.56 (step @p10 :rule refl :args (@t5)) % 0.37/0.56 (step @p11 :rule ho_cong :premises (@p10 @p6)) % 0.37/0.56 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ @t5 @t51) @t52))) % 0.37/0.56 (step @p13 :rule symm :premises (@p12)) % 0.37/0.56 (step @p14 :rule refl :args (@t6)) % 0.37/0.56 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.37/0.56 (step @p16 :rule refl :args (@t3)) % 0.37/0.56 (step @p17 :rule cong :premises (@p16 @p6) :args ((= @t3 @t51))) % 0.37/0.56 (step @p18 :rule symm :premises (@p17)) % 0.37/0.56 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.37/0.56 (step @p20 :rule ho_cong :premises (@p10 @p19)) % 0.37/0.56 (step @p21 :rule trans :premises (@p20 @p15)) % 0.37/0.56 (step @p22 :rule refl :args (@t53)) % 0.37/0.56 (step @p23 :rule refl :args (@t7)) % 0.37/0.56 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t7 @t53))) % 0.37/0.56 (step @p25 :rule symm :premises (@p24)) % 0.37/0.56 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.37/0.56 (step @p27 :rule cong :premises (@p26) :args (@t54)) % 0.37/0.56 (step @p28 :rule nary_cong :premises (@p27 @p21) :args (@t55)) % 0.37/0.56 (step @p29 :rule cong :premises (@p28) :args ((forall @t8 @t55))) % 0.37/0.56 (step @p30 :rule bool-impl-elim :args (@t7 @t6)) % 0.37/0.56 (step @p31 :rule cong :premises (@p30) :args (@t9)) % 0.37/0.56 (step @p32 :rule trans :premises (@p31 @p29)) % 0.37/0.56 (step @p33 :rule refl :args (tptp.binunionIL)) % 0.37/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args (@t10)) % 0.37/0.56 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35 @p4) :args (@t56)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36) :args ((not @t56))) % 0.37/0.56 (step @p38 :rule aci_norm :args ((= @t58 @t48))) % 0.37/0.56 (step @p39 :rule cong :premises (@p38) :args (@t59)) % 0.37/0.56 (step @p40 :rule quant-merge-prenex :args ((= (forall @t33 @t61) @t59))) % 0.37/0.56 (step @p41 :rule alpha_equiv :args (@t62 (@list @t37 @t39 @t38) (@list @t11 @t64 @t63))) % 0.37/0.56 (step @p42 :rule refl :args (@t47)) % 0.37/0.56 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t65)) % 0.37/0.56 (step @p44 :rule quant-miniscope-or :args ((= @t61 @t65))) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.56 (step @p46 :rule symm :premises (@p45)) % 0.37/0.56 (step @p47 :rule cong :premises (@p46) :args ((forall @t33 (or @t47 @t76)))) % 0.37/0.56 (step @p48 :rule trans :premises (@p47 @p40)) % 0.37/0.56 (step @p49 :rule trans :premises (@p48 @p39)) % 0.37/0.56 (step @p50 :rule refl :args (@t76)) % 0.37/0.56 (step @p51 :rule refl :args (@t46)) % 0.37/0.56 (step @p52 :rule refl :args (@t31)) % 0.37/0.56 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t31 @t46))) % 0.37/0.56 (step @p54 :rule symm :premises (@p53)) % 0.37/0.56 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.37/0.56 (step @p56 :rule cong :premises (@p55) :args (@t77)) % 0.37/0.56 (step @p57 :rule nary_cong :premises (@p56 @p50) :args (@t78)) % 0.37/0.56 (step @p58 :rule cong :premises (@p57) :args ((forall @t33 @t78))) % 0.37/0.56 (step @p59 :rule trans :premises (@p58 @p49)) % 0.37/0.56 (step @p60 :rule bool-impl-elim :args (@t31 @t76)) % 0.37/0.56 (step @p61 :rule cong :premises (@p60) :args ((forall @t33 (=> @t31 @t76)))) % 0.37/0.56 (step @p62 :rule trans :premises (@p61 @p59)) % 0.37/0.56 (step @p63 :rule aci_norm :args ((= @t80 @t74))) % 0.37/0.56 (step @p64 :rule cong :premises (@p63) :args (@t81)) % 0.37/0.56 (step @p65 :rule quant-merge-prenex :args ((= (forall @t29 @t83) @t81))) % 0.37/0.56 (step @p66 :rule alpha_equiv :args (@t84 (@list @t64 @t63) (@list @t4 @t85))) % 0.37/0.56 (step @p67 :rule refl :args (@t73)) % 0.37/0.56 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t86)) % 0.37/0.56 (step @p69 :rule quant-miniscope-or :args ((= @t83 @t86))) % 0.37/0.56 (step @p70 :rule trans :premises (@p69 @p68)) % 0.37/0.56 (step @p71 :rule symm :premises (@p70)) % 0.37/0.56 (step @p72 :rule cong :premises (@p71) :args ((forall @t29 (or @t73 @t94)))) % 0.37/0.56 (step @p73 :rule trans :premises (@p72 @p65)) % 0.37/0.56 (step @p74 :rule trans :premises (@p73 @p64)) % 0.37/0.56 (step @p75 :rule refl :args (@t94)) % 0.37/0.56 (step @p76 :rule refl :args (@t72)) % 0.37/0.56 (step @p77 :rule refl :args (@t27)) % 0.37/0.56 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t27 @t72))) % 0.37/0.56 (step @p79 :rule symm :premises (@p78)) % 0.37/0.56 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.37/0.56 (step @p81 :rule cong :premises (@p80) :args (@t95)) % 0.37/0.56 (step @p82 :rule nary_cong :premises (@p81 @p75) :args (@t96)) % 0.37/0.56 (step @p83 :rule cong :premises (@p82) :args ((forall @t29 @t96))) % 0.37/0.56 (step @p84 :rule trans :premises (@p83 @p74)) % 0.37/0.56 (step @p85 :rule bool-impl-elim :args (@t27 @t94)) % 0.37/0.56 (step @p86 :rule cong :premises (@p85) :args ((forall @t29 (=> @t27 @t94)))) % 0.37/0.56 (step @p87 :rule trans :premises (@p86 @p84)) % 0.37/0.56 (step @p88 :rule aci_norm :args ((= @t98 @t92))) % 0.37/0.56 (step @p89 :rule cong :premises (@p88) :args (@t99)) % 0.37/0.56 (step @p90 :rule quant-merge-prenex :args ((= (forall @t24 @t101) @t99))) % 0.37/0.56 (step @p91 :rule alpha_equiv :args (@t102 (@list @t85) (@list @t14))) % 0.37/0.56 (step @p92 :rule refl :args (@t91)) % 0.37/0.56 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t103)) % 0.37/0.56 (step @p94 :rule quant-miniscope-or :args ((= @t101 @t103))) % 0.37/0.56 (step @p95 :rule trans :premises (@p94 @p93)) % 0.37/0.56 (step @p96 :rule symm :premises (@p95)) % 0.37/0.56 (step @p97 :rule cong :premises (@p96) :args ((forall @t24 (or @t91 @t108)))) % 0.37/0.56 (step @p98 :rule trans :premises (@p97 @p90)) % 0.37/0.56 (step @p99 :rule trans :premises (@p98 @p89)) % 0.37/0.56 (step @p100 :rule refl :args (@t108)) % 0.37/0.56 (step @p101 :rule nary_cong :premises (@p27 @p100) :args (@t109)) % 0.37/0.56 (step @p102 :rule cong :premises (@p101) :args ((forall @t24 @t109))) % 0.37/0.56 (step @p103 :rule trans :premises (@p102 @p99)) % 0.37/0.56 (step @p104 :rule bool-impl-elim :args (@t7 @t108)) % 0.37/0.56 (step @p105 :rule cong :premises (@p104) :args ((forall @t24 (=> @t7 @t108)))) % 0.37/0.56 (step @p106 :rule trans :premises (@p105 @p103)) % 0.37/0.56 (step @p107 :rule refl :args ((tptp.in @t15 @t13))) % 0.37/0.56 (step @p108 :rule refl :args (@t66)) % 0.37/0.56 (step @p109 :rule refl :args (@t104)) % 0.37/0.56 (step @p110 :rule cong :premises (@p109 @p108) :args (@t105)) % 0.37/0.56 (step @p111 :rule trans :premises (@p110 @p107)) % 0.37/0.56 (step @p112 :rule refl :args (tptp.in)) % 0.37/0.56 (step @p113 :rule ho_cong :premises (@p112 @p109)) % 0.37/0.56 (step @p114 :rule ho_cong :premises (@p113 @p108)) % 0.37/0.56 (step @p115 :rule cong :premises (@p114 @p111) :args ((= (_ @t110 @t66) @t105))) % 0.37/0.56 (step @p116 :rule symm :premises (@p115)) % 0.37/0.56 (step @p117 :rule refl :args (@t17)) % 0.37/0.56 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.37/0.56 (step @p119 :rule refl :args (@t13)) % 0.37/0.56 (step @p120 :rule cong :premises (@p119 @p108) :args ((= @t13 @t66))) % 0.37/0.56 (step @p121 :rule symm :premises (@p120)) % 0.37/0.56 (step @p122 :rule eq_resolve :premises (@p119 @p121)) % 0.37/0.56 (step @p123 :rule refl :args (@t15)) % 0.37/0.56 (step @p124 :rule cong :premises (@p123 @p109) :args ((= @t15 @t104))) % 0.37/0.56 (step @p125 :rule symm :premises (@p124)) % 0.37/0.56 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 0.37/0.56 (step @p127 :rule ho_cong :premises (@p112 @p126)) % 0.37/0.56 (step @p128 :rule ho_cong :premises (@p127 @p122)) % 0.37/0.56 (step @p129 :rule trans :premises (@p128 @p118)) % 0.37/0.56 (step @p130 :rule refl :args ((tptp.in @t15 @t12))) % 0.37/0.56 (step @p131 :rule refl :args (@t12)) % 0.37/0.56 (step @p132 :rule cong :premises (@p109 @p131) :args (@t106)) % 0.37/0.56 (step @p133 :rule trans :premises (@p132 @p130)) % 0.37/0.56 (step @p134 :rule ho_cong :premises (@p113 @p131)) % 0.37/0.56 (step @p135 :rule cong :premises (@p134 @p133) :args ((= (_ @t110 @t12) @t106))) % 0.37/0.56 (step @p136 :rule symm :premises (@p135)) % 0.37/0.56 (step @p137 :rule refl :args (@t18)) % 0.37/0.56 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.37/0.56 (step @p139 :rule ho_cong :premises (@p127 @p131)) % 0.37/0.56 (step @p140 :rule trans :premises (@p139 @p138)) % 0.37/0.56 (step @p141 :rule cong :premises (@p140) :args (@t111)) % 0.37/0.56 (step @p142 :rule refl :args (@t107)) % 0.37/0.56 (step @p143 :rule refl :args (@t20)) % 0.37/0.56 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t20 @t107))) % 0.37/0.56 (step @p145 :rule symm :premises (@p144)) % 0.37/0.56 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 0.37/0.56 (step @p147 :rule cong :premises (@p146) :args (@t112)) % 0.37/0.56 (step @p148 :rule nary_cong :premises (@p147 @p141 @p129) :args (@t113)) % 0.37/0.56 (step @p149 :rule cong :premises (@p148) :args ((forall @t21 @t113))) % 0.37/0.56 (step @p150 :rule aci_norm :args ((= (or @t112 (or @t111 @t17)) @t113))) % 0.37/0.56 (step @p151 :rule bool-impl-elim :args (@t18 @t17)) % 0.37/0.56 (step @p152 :rule refl :args (@t112)) % 0.37/0.56 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t112 @t19))) % 0.37/0.56 (step @p154 :rule trans :premises (@p153 @p150)) % 0.37/0.56 (step @p155 :rule bool-impl-elim :args (@t20 @t19)) % 0.37/0.56 (step @p156 :rule trans :premises (@p155 @p154)) % 0.37/0.56 (step @p157 :rule cong :premises (@p156) :args (@t22)) % 0.37/0.56 (step @p158 :rule trans :premises (@p157 @p149)) % 0.37/0.56 (step @p159 :rule refl :args (@t7)) % 0.37/0.56 (step @p160 :rule cong :premises (@p159 @p158) :args (@t23)) % 0.37/0.56 (step @p161 :rule cong :premises (@p160) :args (@t25)) % 0.37/0.56 (step @p162 :rule trans :premises (@p161 @p106)) % 0.37/0.56 (step @p163 :rule refl :args (@t27)) % 0.37/0.56 (step @p164 :rule cong :premises (@p163 @p162) :args (@t28)) % 0.37/0.56 (step @p165 :rule cong :premises (@p164) :args (@t30)) % 0.37/0.56 (step @p166 :rule trans :premises (@p165 @p87)) % 0.37/0.56 (step @p167 :rule refl :args (@t31)) % 0.37/0.56 (step @p168 :rule cong :premises (@p167 @p166) :args (@t32)) % 0.37/0.56 (step @p169 :rule cong :premises (@p168) :args (@t34)) % 0.37/0.56 (step @p170 :rule trans :premises (@p169 @p62)) % 0.37/0.56 (step @p171 :rule cong :premises (@p33 @p170) :args (@t35)) % 0.37/0.56 (step @p172 :rule cong :premises (@p171) :args (@t36)) % 0.37/0.56 (step @p173 :rule trans :premises (@p172 @p37)) % 0.37/0.56 (step @p174 :rule eq_resolve :premises (@p2 @p173)) % 0.37/0.56 (step @p175 :rule not_implies_elim1 :premises (@p174)) % 0.37/0.56 (step @p176 :rule not_implies_elim2 :premises (@p174)) % 0.37/0.56 (step @p177 :rule skolemize :premises (@p176)) % 0.37/0.56 (step @p178 :rule cnf_or_neg :args (@t123 5)) % 0.37/0.56 (step @p179 :rule chain_m_resolution :premises (@p178 @p177) :args ((not @t119) @t124 @t125)) % 0.37/0.56 (step @p180 :rule bool-double-not-elim :args (@t120)) % 0.37/0.56 (step @p181 :rule refl :args (@t123)) % 0.37/0.56 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t123 (not @t121)))) % 0.37/0.56 (step @p183 :rule cnf_or_neg :args (@t123 4)) % 0.37/0.56 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 0.37/0.56 (step @p185 :rule reordering :premises (@p184) :args ((or @t120 @t123))) % 0.37/0.56 (step @p186 :rule chain_m_resolution :premises (@p185 @p177) :args (@t120 @t124 @t125)) % 0.37/0.56 (step @p187 :rule cnf_or_pos :args (@t126)) % 0.37/0.56 (step @p188 :rule reordering :premises (@p187) :args ((or @t121 @t119 @t127))) % 0.37/0.56 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p179) :args (@t127 (@list false true) (@list @t120 @t119))) % 0.37/0.56 (assume-push @p196 @t128) % 0.37/0.56 (step @p191 :rule instantiate :premises (@p175) :args ((@list @t115 @t114 @t118))) % 0.37/0.56 (step-pop @p197 :rule scope :premises (@p191)) % 0.37/0.56 (step @p192 :rule process_scope :premises (@p197) :args (@t126)) % 0.37/0.56 (step @p194 :rule implies_elim :premises (@p192)) % 0.37/0.56 (step @p195 false :rule chain_m_resolution :premises (@p194 @p189 @p175) :args (false (@list true false) (@list @t126 @t128))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------