%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU733^2 : 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 : n013.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 08:52:56 AM UTC 2026 % Result : Theorem 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU733^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n013.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:49:45 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.40/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.complementTnotintersectT Bool) % 0.40/0.59 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.setminusI Bool) % 0.40/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.59 (define @t3 () (_ tptp.setminus @t2)) % 0.40/0.59 (define @t4 () (_ @t3 @t1)) % 0.40/0.59 (define @t5 () (@var "Xx" $$unsorted)) % 0.40/0.59 (define @t6 () (_ tptp.in @t5)) % 0.40/0.59 (define @t7 () (_ @t6 @t4)) % 0.40/0.59 (define @t8 () (_ @t6 @t1)) % 0.40/0.59 (define @t9 () (not @t8)) % 0.40/0.59 (define @t10 () (=> @t9 @t7)) % 0.40/0.59 (define @t11 () (_ @t6 @t2)) % 0.40/0.59 (define @t12 () (@list @t2 @t1 @t5)) % 0.40/0.59 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.40/0.59 (define @t14 () (= tptp.setminusI @t13)) % 0.40/0.59 (define @t15 () (@var "Y" $$unsorted)) % 0.40/0.59 (define @t16 () (@var "X" $$unsorted)) % 0.40/0.59 (define @t17 () (_ (_ tptp.binintersect @t16) @t15)) % 0.40/0.59 (define @t18 () (_ @t6 @t17)) % 0.40/0.59 (define @t19 () (not @t18)) % 0.40/0.59 (define @t20 () (_ @t3 @t16)) % 0.40/0.59 (define @t21 () (_ @t6 @t20)) % 0.40/0.59 (define @t22 () (=> @t21 @t19)) % 0.40/0.59 (define @t23 () (@list @t5)) % 0.40/0.59 (define @t24 () (forall @t23 (=> @t11 @t22))) % 0.40/0.59 (define @t25 () (_ tptp.powerset @t2)) % 0.40/0.59 (define @t26 () (_ tptp.in @t15)) % 0.40/0.59 (define @t27 () (_ @t26 @t25)) % 0.40/0.59 (define @t28 () (=> @t27 @t24)) % 0.40/0.59 (define @t29 () (@list @t15)) % 0.40/0.59 (define @t30 () (forall @t29 @t28)) % 0.40/0.59 (define @t31 () (_ tptp.in @t16)) % 0.40/0.59 (define @t32 () (_ @t31 @t25)) % 0.40/0.59 (define @t33 () (=> @t32 @t30)) % 0.40/0.59 (define @t34 () (@list @t2 @t16)) % 0.40/0.59 (define @t35 () (forall @t34 @t33)) % 0.40/0.59 (define @t36 () (= tptp.complementTnotintersectT @t35)) % 0.40/0.59 (define @t37 () (_ @t3 @t17)) % 0.40/0.59 (define @t38 () (_ @t6 @t37)) % 0.40/0.59 (define @t39 () (=> @t21 @t38)) % 0.40/0.59 (define @t40 () (forall @t23 (=> @t11 @t39))) % 0.40/0.59 (define @t41 () (=> @t27 @t40)) % 0.40/0.59 (define @t42 () (forall @t29 @t41)) % 0.40/0.59 (define @t43 () (=> @t32 @t42)) % 0.40/0.59 (define @t44 () (forall @t34 @t43)) % 0.40/0.59 (define @t45 () (=> tptp.complementTnotintersectT @t44)) % 0.40/0.59 (define @t46 () (=> tptp.setminusI @t45)) % 0.40/0.59 (define @t47 () (not @t46)) % 0.40/0.59 (define @t48 () (@var "BOUND_VARIABLE_7585" $$unsorted)) % 0.40/0.59 (define @t49 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 0.40/0.59 (define @t50 () (tptp.in @t49 (tptp.setminus @t2 (tptp.binintersect @t16 @t48)))) % 0.40/0.59 (define @t51 () (tptp.setminus @t2 @t16)) % 0.40/0.59 (define @t52 () (not (tptp.in @t49 @t51))) % 0.40/0.59 (define @t53 () (not (tptp.in @t49 @t2))) % 0.40/0.59 (define @t54 () (tptp.powerset @t2)) % 0.40/0.59 (define @t55 () (not (tptp.in @t48 @t54))) % 0.40/0.59 (define @t56 () (tptp.in @t16 @t54)) % 0.40/0.59 (define @t57 () (not @t56)) % 0.40/0.59 (define @t58 () (or @t57 @t55 @t53 @t52 @t50)) % 0.40/0.59 (define @t59 () (@list @t2 @t16 @t48 @t49)) % 0.40/0.59 (define @t60 () (forall @t59 @t58)) % 0.40/0.59 (define @t61 () (@var "BOUND_VARIABLE_7530" $$unsorted)) % 0.40/0.59 (define @t62 () (@var "BOUND_VARIABLE_7532" $$unsorted)) % 0.40/0.59 (define @t63 () (not (tptp.in @t62 (tptp.binintersect @t16 @t61)))) % 0.40/0.59 (define @t64 () (not (tptp.in @t62 @t51))) % 0.40/0.59 (define @t65 () (not (tptp.in @t62 @t2))) % 0.40/0.59 (define @t66 () (not (tptp.in @t61 @t54))) % 0.40/0.59 (define @t67 () (or @t57 @t66 @t65 @t64 @t63)) % 0.40/0.59 (define @t68 () (or @t66 @t65 @t64 @t63)) % 0.40/0.59 (define @t69 () (or @t57 @t68)) % 0.40/0.59 (define @t70 () (@list @t2 @t16 @t61 @t62)) % 0.40/0.59 (define @t71 () (forall @t70 @t69)) % 0.40/0.59 (define @t72 () (@list @t61 @t62)) % 0.40/0.59 (define @t73 () (forall @t72 @t69)) % 0.40/0.59 (define @t74 () (forall @t72 @t68)) % 0.40/0.59 (define @t75 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 0.40/0.59 (define @t76 () (or @t57 @t74)) % 0.40/0.59 (define @t77 () (tptp.binintersect @t16 @t15)) % 0.40/0.59 (define @t78 () (not (tptp.in @t75 @t77))) % 0.40/0.59 (define @t79 () (not (tptp.in @t75 @t51))) % 0.40/0.59 (define @t80 () (not (tptp.in @t75 @t2))) % 0.40/0.59 (define @t81 () (tptp.in @t15 @t54)) % 0.40/0.59 (define @t82 () (not @t81)) % 0.40/0.59 (define @t83 () (or @t82 @t80 @t79 @t78)) % 0.40/0.59 (define @t84 () (@list @t15 @t75)) % 0.40/0.59 (define @t85 () (forall @t84 @t83)) % 0.40/0.59 (define @t86 () (not @t32)) % 0.40/0.59 (define @t87 () (or @t86 @t85)) % 0.40/0.59 (define @t88 () (or @t80 @t79 @t78)) % 0.40/0.59 (define @t89 () (or @t82 @t88)) % 0.40/0.59 (define @t90 () (forall @t84 @t89)) % 0.40/0.59 (define @t91 () (@list @t75)) % 0.40/0.59 (define @t92 () (forall @t91 @t89)) % 0.40/0.59 (define @t93 () (forall @t91 @t88)) % 0.40/0.59 (define @t94 () (@list @t5)) % 0.40/0.59 (define @t95 () (or @t82 @t93)) % 0.40/0.59 (define @t96 () (tptp.in @t5 @t77)) % 0.40/0.59 (define @t97 () (tptp.in @t5 @t51)) % 0.40/0.59 (define @t98 () (not @t97)) % 0.40/0.59 (define @t99 () (tptp.in @t5 @t2)) % 0.40/0.59 (define @t100 () (not @t99)) % 0.40/0.59 (define @t101 () (forall @t23 (or @t100 @t98 (not @t96)))) % 0.40/0.59 (define @t102 () (not @t27)) % 0.40/0.59 (define @t103 () (or @t102 @t101)) % 0.40/0.59 (define @t104 () (not @t21)) % 0.40/0.59 (define @t105 () (not @t11)) % 0.40/0.59 (define @t106 () (or @t105 @t104 @t19)) % 0.40/0.59 (define @t107 () (=> tptp.complementTnotintersectT @t60)) % 0.40/0.59 (define @t108 () (tptp.setminus @t2 @t1)) % 0.40/0.59 (define @t109 () (tptp.in @t5 @t108)) % 0.40/0.59 (define @t110 () (tptp.in @t5 @t1)) % 0.40/0.59 (define @t111 () (or @t105 @t8 @t7)) % 0.40/0.59 (define @t112 () (=> tptp.setminusI @t107)) % 0.40/0.59 (define @t113 () (or @t55 @t53 @t52 @t50)) % 0.40/0.59 (define @t114 () (or @t57 @t113)) % 0.40/0.59 (define @t115 () (forall @t59 @t114)) % 0.40/0.59 (define @t116 () (@list @t48 @t49)) % 0.40/0.59 (define @t117 () (forall @t116 @t114)) % 0.40/0.59 (define @t118 () (forall @t116 @t113)) % 0.40/0.59 (define @t119 () (@var "BOUND_VARIABLE_7566" $$unsorted)) % 0.40/0.59 (define @t120 () (or @t57 @t118)) % 0.40/0.59 (define @t121 () (tptp.setminus @t2 @t77)) % 0.40/0.59 (define @t122 () (tptp.in @t119 @t121)) % 0.40/0.59 (define @t123 () (not (tptp.in @t119 @t51))) % 0.40/0.59 (define @t124 () (not (tptp.in @t119 @t2))) % 0.40/0.59 (define @t125 () (or @t82 @t124 @t123 @t122)) % 0.40/0.59 (define @t126 () (@list @t15 @t119)) % 0.40/0.59 (define @t127 () (forall @t126 @t125)) % 0.40/0.59 (define @t128 () (or @t86 @t127)) % 0.40/0.59 (define @t129 () (or @t124 @t123 @t122)) % 0.40/0.59 (define @t130 () (or @t82 @t129)) % 0.40/0.59 (define @t131 () (forall @t126 @t130)) % 0.40/0.59 (define @t132 () (@list @t119)) % 0.40/0.59 (define @t133 () (forall @t132 @t130)) % 0.40/0.59 (define @t134 () (forall @t132 @t129)) % 0.40/0.59 (define @t135 () (or @t82 @t134)) % 0.40/0.59 (define @t136 () (tptp.in @t5 @t121)) % 0.40/0.59 (define @t137 () (forall @t23 (or @t100 @t98 @t136))) % 0.40/0.59 (define @t138 () (or @t102 @t137)) % 0.40/0.59 (define @t139 () (or @t105 @t104 @t38)) % 0.40/0.59 (define @t140 () (@quantifiers_skolemize @t60 3)) % 0.40/0.59 (define @t141 () (@quantifiers_skolemize @t60 2)) % 0.40/0.59 (define @t142 () (@quantifiers_skolemize @t60 1)) % 0.40/0.59 (define @t143 () (tptp.binintersect @t142 @t141)) % 0.40/0.59 (define @t144 () (@quantifiers_skolemize @t60 0)) % 0.40/0.59 (define @t145 () (tptp.in @t140 (tptp.setminus @t144 @t143))) % 0.40/0.59 (define @t146 () (tptp.in @t140 (tptp.setminus @t144 @t142))) % 0.40/0.59 (define @t147 () (not @t146)) % 0.40/0.59 (define @t148 () (tptp.in @t140 @t144)) % 0.40/0.59 (define @t149 () (not @t148)) % 0.40/0.59 (define @t150 () (tptp.powerset @t144)) % 0.40/0.59 (define @t151 () (tptp.in @t141 @t150)) % 0.40/0.59 (define @t152 () (not @t151)) % 0.40/0.59 (define @t153 () (tptp.in @t142 @t150)) % 0.40/0.59 (define @t154 () (not @t153)) % 0.40/0.59 (define @t155 () (or @t154 @t152 @t149 @t147 @t145)) % 0.40/0.59 (define @t156 () (@list true)) % 0.40/0.59 (define @t157 () (@list @t155)) % 0.40/0.59 (define @t158 () (tptp.in @t140 @t143)) % 0.40/0.59 (define @t159 () (or @t149 @t158 @t145)) % 0.40/0.59 (define @t160 () (not @t158)) % 0.40/0.59 (define @t161 () (or @t154 @t152 @t149 @t147 @t160)) % 0.40/0.59 (define @t162 () (not @t161)) % 0.40/0.59 (define @t163 () (forall @t70 @t67)) % 0.40/0.59 (assume @p1 @t14) % 0.40/0.59 (assume @p2 @t36) % 0.40/0.59 (assume @p3 @t47) % 0.40/0.59 (assume @p4 true) % 0.40/0.59 (step @p5 :rule refl :args (@t60)) % 0.40/0.59 (step @p6 :rule aci_norm :args ((= @t69 @t67))) % 0.40/0.59 (step @p7 :rule cong :premises (@p6) :args (@t71)) % 0.40/0.59 (step @p8 :rule quant-merge-prenex :args ((= (forall @t34 @t73) @t71))) % 0.40/0.59 (step @p9 :rule alpha_equiv :args (@t74 (@list @t61 @t62) (@list @t15 @t75))) % 0.40/0.59 (step @p10 :rule refl :args (@t57)) % 0.40/0.59 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t76)) % 0.40/0.59 (step @p12 :rule quant-miniscope-or :args ((= @t73 @t76))) % 0.40/0.59 (step @p13 :rule trans :premises (@p12 @p11)) % 0.40/0.59 (step @p14 :rule symm :premises (@p13)) % 0.40/0.59 (step @p15 :rule cong :premises (@p14) :args ((forall @t34 (or @t57 @t85)))) % 0.40/0.59 (step @p16 :rule trans :premises (@p15 @p8)) % 0.40/0.59 (step @p17 :rule trans :premises (@p16 @p7)) % 0.40/0.59 (step @p18 :rule refl :args (@t85)) % 0.40/0.59 (step @p19 :rule refl :args ((tptp.in @t16 @t25))) % 0.40/0.59 (step @p20 :rule refl :args (@t54)) % 0.40/0.59 (step @p21 :rule refl :args (@t16)) % 0.40/0.59 (step @p22 :rule cong :premises (@p21 @p20) :args (@t56)) % 0.40/0.59 (step @p23 :rule trans :premises (@p22 @p19)) % 0.40/0.59 (step @p24 :rule refl :args (@t31)) % 0.40/0.59 (step @p25 :rule ho_cong :premises (@p24 @p20)) % 0.40/0.59 (step @p26 :rule cong :premises (@p25 @p23) :args ((= (_ @t31 @t54) @t56))) % 0.40/0.59 (step @p27 :rule symm :premises (@p26)) % 0.40/0.59 (step @p28 :rule refl :args (@t32)) % 0.40/0.59 (step @p29 :rule eq_resolve :premises (@p28 @p27)) % 0.40/0.59 (step @p30 :rule refl :args (@t25)) % 0.40/0.59 (step @p31 :rule cong :premises (@p30 @p20) :args ((= @t25 @t54))) % 0.40/0.59 (step @p32 :rule symm :premises (@p31)) % 0.40/0.59 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.40/0.59 (step @p34 :rule ho_cong :premises (@p24 @p33)) % 0.40/0.59 (step @p35 :rule trans :premises (@p34 @p29)) % 0.40/0.59 (step @p36 :rule cong :premises (@p35) :args (@t86)) % 0.40/0.59 (step @p37 :rule nary_cong :premises (@p36 @p18) :args (@t87)) % 0.40/0.59 (step @p38 :rule cong :premises (@p37) :args ((forall @t34 @t87))) % 0.40/0.59 (step @p39 :rule trans :premises (@p38 @p17)) % 0.40/0.59 (step @p40 :rule bool-impl-elim :args (@t32 @t85)) % 0.40/0.59 (step @p41 :rule cong :premises (@p40) :args ((forall @t34 (=> @t32 @t85)))) % 0.40/0.59 (step @p42 :rule trans :premises (@p41 @p39)) % 0.40/0.59 (step @p43 :rule aci_norm :args ((= @t89 @t83))) % 0.40/0.59 (step @p44 :rule cong :premises (@p43) :args (@t90)) % 0.40/0.59 (step @p45 :rule quant-merge-prenex :args ((= (forall @t29 @t92) @t90))) % 0.40/0.59 (step @p46 :rule alpha_equiv :args (@t93 (@list @t75) @t94)) % 0.40/0.59 (step @p47 :rule refl :args (@t82)) % 0.40/0.59 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t95)) % 0.40/0.59 (step @p49 :rule quant-miniscope-or :args ((= @t92 @t95))) % 0.40/0.59 (step @p50 :rule trans :premises (@p49 @p48)) % 0.40/0.59 (step @p51 :rule symm :premises (@p50)) % 0.40/0.59 (step @p52 :rule cong :premises (@p51) :args ((forall @t29 (or @t82 @t101)))) % 0.40/0.59 (step @p53 :rule trans :premises (@p52 @p45)) % 0.40/0.59 (step @p54 :rule trans :premises (@p53 @p44)) % 0.40/0.59 (step @p55 :rule refl :args (@t101)) % 0.40/0.59 (step @p56 :rule refl :args ((tptp.in @t15 @t25))) % 0.40/0.59 (step @p57 :rule refl :args (@t15)) % 0.40/0.59 (step @p58 :rule cong :premises (@p57 @p20) :args (@t81)) % 0.40/0.59 (step @p59 :rule trans :premises (@p58 @p56)) % 0.40/0.59 (step @p60 :rule refl :args (@t26)) % 0.40/0.59 (step @p61 :rule ho_cong :premises (@p60 @p20)) % 0.40/0.59 (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t26 @t54) @t81))) % 0.40/0.59 (step @p63 :rule symm :premises (@p62)) % 0.40/0.59 (step @p64 :rule refl :args (@t27)) % 0.40/0.59 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.40/0.59 (step @p66 :rule ho_cong :premises (@p60 @p33)) % 0.40/0.59 (step @p67 :rule trans :premises (@p66 @p65)) % 0.40/0.59 (step @p68 :rule cong :premises (@p67) :args (@t102)) % 0.40/0.59 (step @p69 :rule nary_cong :premises (@p68 @p55) :args (@t103)) % 0.40/0.59 (step @p70 :rule cong :premises (@p69) :args ((forall @t29 @t103))) % 0.40/0.59 (step @p71 :rule trans :premises (@p70 @p54)) % 0.40/0.59 (step @p72 :rule bool-impl-elim :args (@t27 @t101)) % 0.40/0.59 (step @p73 :rule cong :premises (@p72) :args ((forall @t29 (=> @t27 @t101)))) % 0.40/0.59 (step @p74 :rule trans :premises (@p73 @p71)) % 0.40/0.59 (step @p75 :rule refl :args ((tptp.in @t5 @t17))) % 0.40/0.59 (step @p76 :rule refl :args (@t77)) % 0.40/0.59 (step @p77 :rule refl :args (@t5)) % 0.40/0.59 (step @p78 :rule cong :premises (@p77 @p76) :args (@t96)) % 0.40/0.59 (step @p79 :rule trans :premises (@p78 @p75)) % 0.40/0.59 (step @p80 :rule refl :args (@t6)) % 0.40/0.59 (step @p81 :rule ho_cong :premises (@p80 @p76)) % 0.40/0.59 (step @p82 :rule cong :premises (@p81 @p79) :args ((= (_ @t6 @t77) @t96))) % 0.40/0.59 (step @p83 :rule symm :premises (@p82)) % 0.40/0.59 (step @p84 :rule refl :args (@t18)) % 0.40/0.59 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.40/0.59 (step @p86 :rule refl :args (@t17)) % 0.40/0.59 (step @p87 :rule cong :premises (@p86 @p76) :args ((= @t17 @t77))) % 0.40/0.59 (step @p88 :rule symm :premises (@p87)) % 0.40/0.59 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.40/0.59 (step @p90 :rule ho_cong :premises (@p80 @p89)) % 0.40/0.59 (step @p91 :rule trans :premises (@p90 @p85)) % 0.40/0.59 (step @p92 :rule cong :premises (@p91) :args (@t19)) % 0.40/0.59 (step @p93 :rule refl :args ((tptp.in @t5 @t20))) % 0.40/0.59 (step @p94 :rule refl :args (@t51)) % 0.40/0.59 (step @p95 :rule cong :premises (@p77 @p94) :args (@t97)) % 0.40/0.59 (step @p96 :rule trans :premises (@p95 @p93)) % 0.40/0.59 (step @p97 :rule ho_cong :premises (@p80 @p94)) % 0.40/0.59 (step @p98 :rule cong :premises (@p97 @p96) :args ((= (_ @t6 @t51) @t97))) % 0.40/0.59 (step @p99 :rule symm :premises (@p98)) % 0.40/0.59 (step @p100 :rule refl :args (@t21)) % 0.40/0.59 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.40/0.59 (step @p102 :rule refl :args (@t20)) % 0.40/0.59 (step @p103 :rule cong :premises (@p102 @p94) :args ((= @t20 @t51))) % 0.40/0.59 (step @p104 :rule symm :premises (@p103)) % 0.40/0.59 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 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:args (@t3)) % 0.40/0.59 (step @p225 :rule ho_cong :premises (@p224 @p76)) % 0.40/0.59 (step @p226 :rule cong :premises (@p225 @p216) :args ((= (_ @t3 @t77) @t121))) % 0.40/0.59 (step @p227 :rule symm :premises (@p226)) % 0.40/0.59 (step @p228 :rule refl :args (@t37)) % 0.40/0.59 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.40/0.59 (step @p230 :rule ho_cong :premises (@p224 @p89)) % 0.40/0.59 (step @p231 :rule trans :premises (@p230 @p229)) % 0.40/0.59 (step @p232 :rule ho_cong :premises (@p80 @p231)) % 0.40/0.59 (step @p233 :rule trans :premises (@p232 @p223)) % 0.40/0.59 (step @p234 :rule nary_cong :premises (@p114 @p108 @p233) :args (@t139)) % 0.40/0.59 (step @p235 :rule cong :premises (@p234) :args ((forall @t23 @t139))) % 0.40/0.59 (step @p236 :rule aci_norm :args ((= (or @t105 (or @t104 @t38)) @t139))) % 0.40/0.59 (step @p237 :rule bool-impl-elim :args (@t21 @t38)) % 0.40/0.59 (step @p238 :rule nary_cong :premises (@p119 @p237) :args ((or @t105 @t39))) % 0.40/0.59 (step @p239 :rule trans :premises (@p238 @p236)) % 0.40/0.59 (step @p240 :rule bool-impl-elim :args (@t11 @t39)) % 0.40/0.59 (step @p241 :rule trans :premises (@p240 @p239)) % 0.40/0.59 (step @p242 :rule cong :premises (@p241) :args (@t40)) % 0.40/0.59 (step @p243 :rule trans :premises (@p242 @p235)) % 0.40/0.59 (step @p244 :rule cong :premises (@p126 @p243) :args (@t41)) % 0.40/0.59 (step @p245 :rule cong :premises (@p244) :args (@t42)) % 0.40/0.59 (step @p246 :rule trans :premises (@p245 @p211)) % 0.40/0.59 (step @p247 :rule cong :premises (@p130 @p246) :args (@t43)) % 0.40/0.59 (step @p248 :rule cong :premises (@p247) :args (@t44)) % 0.40/0.59 (step @p249 :rule trans :premises (@p248 @p193)) % 0.40/0.59 (step @p250 :rule cong :premises (@p134 @p249) :args (@t45)) % 0.40/0.59 (step @p251 :rule cong :premises (@p171 @p250) :args (@t46)) % 0.40/0.59 (step @p252 :rule cong :premises (@p251) :args (@t47)) % 0.40/0.59 (step @p253 :rule trans :premises (@p252 @p175)) % 0.40/0.59 (step @p254 :rule eq_resolve :premises (@p3 @p253)) % 0.40/0.59 (step @p255 :rule not_implies_elim2 :premises (@p254)) % 0.40/0.59 (step @p256 :rule not_implies_elim1 :premises (@p255)) % 0.40/0.59 (step @p257 :rule not_implies_elim1 :premises (@p254)) % 0.40/0.60 (step @p258 :rule instantiate :premises (@p257) :args ((@list @t144 @t143 @t140))) % 0.40/0.60 (step @p259 :rule not_implies_elim2 :premises (@p255)) % 0.40/0.60 (step @p260 :rule skolemize :premises (@p259)) % 0.40/0.60 (step @p261 :rule cnf_or_neg :args (@t155 4)) % 0.40/0.60 (step @p262 :rule chain_m_resolution :premises (@p261 @p260) :args ((not @t145) @t156 @t157)) % 0.40/0.60 (step @p263 :rule bool-double-not-elim :args (@t148)) % 0.40/0.60 (step @p264 :rule refl :args (@t155)) % 0.40/0.60 (step @p265 :rule nary_cong :premises (@p264 @p263) :args ((or @t155 (not @t149)))) % 0.40/0.60 (step @p266 :rule cnf_or_neg :args (@t155 2)) % 0.40/0.60 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 0.40/0.60 (step @p268 :rule reordering :premises (@p267) :args ((or @t148 @t155))) % 0.40/0.60 (step @p269 :rule chain_m_resolution :premises (@p268 @p260) :args (@t148 @t156 @t157)) % 0.40/0.60 (step @p270 :rule cnf_or_pos :args (@t159)) % 0.40/0.60 (step @p271 :rule reordering :premises (@p270) :args ((or @t149 @t145 @t158 (not @t159)))) % 0.40/0.60 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p262 @p258) :args (@t158 (@list false true false) (@list @t148 @t145 @t159))) % 0.40/0.60 (step @p273 :rule bool-double-not-elim :args (@t146)) % 0.40/0.60 (step @p274 :rule nary_cong :premises (@p264 @p273) :args ((or @t155 (not @t147)))) % 0.40/0.60 (step @p275 :rule cnf_or_neg :args (@t155 3)) % 0.40/0.60 (step @p276 :rule eq_resolve :premises (@p275 @p274)) % 0.40/0.60 (step @p277 :rule reordering :premises (@p276) :args ((or @t146 @t155))) % 0.40/0.60 (step @p278 :rule chain_m_resolution :premises (@p277 @p260) :args (@t146 @t156 @t157)) % 0.40/0.60 (step @p279 :rule bool-double-not-elim :args (@t151)) % 0.40/0.60 (step @p280 :rule nary_cong :premises (@p264 @p279) :args ((or @t155 (not @t152)))) % 0.40/0.60 (step @p281 :rule cnf_or_neg :args (@t155 1)) % 0.40/0.60 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 0.40/0.60 (step @p283 :rule reordering :premises (@p282) :args ((or @t151 @t155))) % 0.40/0.60 (step @p284 :rule chain_m_resolution :premises (@p283 @p260) :args (@t151 @t156 @t157)) % 0.40/0.60 (step @p285 :rule bool-double-not-elim :args (@t153)) % 0.40/0.60 (step @p286 :rule nary_cong :premises (@p264 @p285) :args ((or @t155 (not @t154)))) % 0.40/0.60 (step @p287 :rule cnf_or_neg :args (@t155 0)) % 0.40/0.60 (step @p288 :rule eq_resolve :premises (@p287 @p286)) % 0.40/0.60 (step @p289 :rule reordering :premises (@p288) :args ((or @t153 @t155))) % 0.40/0.60 (step @p290 :rule chain_m_resolution :premises (@p289 @p260) :args (@t153 @t156 @t157)) % 0.40/0.60 (step @p291 :rule cnf_or_pos :args (@t161)) % 0.40/0.60 (step @p292 :rule reordering :premises (@p291) :args ((or @t154 @t152 @t149 @t147 @t160 @t162))) % 0.40/0.60 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p284 @p269 @p278 @p272) :args (@t162 (@list false false false false false) (@list @t153 @t151 @t148 @t146 @t158))) % 0.40/0.60 (assume-push @p300 @t163) % 0.40/0.60 (step @p295 :rule instantiate :premises (@p256) :args ((@list @t144 @t142 @t141 @t140))) % 0.40/0.60 (step-pop @p301 :rule scope :premises (@p295)) % 0.40/0.60 (step @p296 :rule process_scope :premises (@p301) :args (@t161)) % 0.40/0.60 (step @p298 :rule implies_elim :premises (@p296)) % 0.40/0.60 (step @p299 false :rule chain_m_resolution :premises (@p298 @p293 @p256) :args (false (@list true false) (@list @t161 @t163))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------