%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV310^5 : 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 : n023.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 08:55:45 AM UTC 2026 % Result : Theorem 1.12s 1.35s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEV310^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:29:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 1.12/1.35 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.12/1.35 % SZS status Theorem % 1.12/1.35 % SZS output start Proof % 1.12/1.35 ( % 1.12/1.35 (declare-sort tptp.a 0) % 1.12/1.35 (declare-const tptp.cK (-> (-> tptp.a Bool) tptp.a Bool)) % 1.12/1.35 (define @t1 () (@var "Xx" tptp.a)) % 1.12/1.35 (define @t2 () (@var "Xx0" tptp.a)) % 1.12/1.35 (define @t3 () (@var "S" (-> tptp.a Bool))) % 1.12/1.35 (define @t4 () (_ @t3 @t2)) % 1.12/1.35 (define @t5 () (@var "Xx1" tptp.a)) % 1.12/1.35 (define @t6 () (_ @t3 @t5)) % 1.12/1.35 (define @t7 () (_ tptp.cK @t3)) % 1.12/1.35 (define @t8 () (_ @t7 @t5)) % 1.12/1.35 (define @t9 () (@list @t5)) % 1.12/1.35 (define @t10 () (forall @t9 (=> @t8 @t6))) % 1.12/1.35 (define @t11 () (=> @t10 @t4)) % 1.12/1.35 (define @t12 () (@list @t3)) % 1.12/1.35 (define @t13 () (forall @t12 @t11)) % 1.12/1.35 (define @t14 () (@list @t2)) % 1.12/1.35 (define @t15 () (lambda @t14 @t13)) % 1.12/1.35 (define @t16 () (_ @t3 @t1)) % 1.12/1.35 (define @t17 () (_ @t7 @t2)) % 1.12/1.35 (define @t18 () (forall @t14 (=> @t17 @t4))) % 1.12/1.35 (define @t19 () (=> @t18 @t16)) % 1.12/1.35 (define @t20 () (forall @t12 @t19)) % 1.12/1.35 (define @t21 () (=> @t20 (_ (_ tptp.cK @t15) @t1))) % 1.12/1.35 (define @t22 () (@list @t1)) % 1.12/1.35 (define @t23 () (forall @t22 @t21)) % 1.12/1.35 (define @t24 () (@var "Y" (-> tptp.a Bool))) % 1.12/1.35 (define @t25 () (_ (_ tptp.cK @t24) @t1)) % 1.12/1.35 (define @t26 () (@var "X" (-> tptp.a Bool))) % 1.12/1.35 (define @t27 () (_ (_ tptp.cK @t26) @t1)) % 1.12/1.35 (define @t28 () (forall @t22 (=> @t27 @t25))) % 1.12/1.35 (define @t29 () (_ @t24 @t1)) % 1.12/1.35 (define @t30 () (_ @t26 @t1)) % 1.12/1.35 (define @t31 () (forall @t22 (=> @t30 @t29))) % 1.12/1.35 (define @t32 () (=> @t31 @t28)) % 1.12/1.35 (define @t33 () (@list @t26 @t24)) % 1.12/1.35 (define @t34 () (forall @t33 @t32)) % 1.12/1.35 (define @t35 () (=> @t34 @t23)) % 1.12/1.35 (define @t36 () (not @t35)) % 1.12/1.35 (define @t37 () (_ @t3 @t2)) % 1.12/1.35 (define @t38 () (_ @t3 @t5)) % 1.12/1.35 (define @t39 () (tptp.cK @t3 @t5)) % 1.12/1.35 (define @t40 () (not @t39)) % 1.12/1.35 (define @t41 () (or @t40 @t38)) % 1.12/1.35 (define @t42 () (forall @t9 @t41)) % 1.12/1.35 (define @t43 () (not @t42)) % 1.12/1.35 (define @t44 () (or @t43 @t37)) % 1.12/1.35 (define @t45 () (forall @t12 @t44)) % 1.12/1.35 (define @t46 () (lambda @t14 @t45)) % 1.12/1.35 (define @t47 () (@purify @t46)) % 1.12/1.35 (define @t48 () (_ @t47 @t2)) % 1.12/1.35 (define @t49 () (_ @t46 @t2)) % 1.12/1.35 (define @t50 () (= @t48 @t49)) % 1.12/1.35 (define @t51 () (forall @t14 @t50)) % 1.12/1.35 (define @t52 () (_ @t47 @t1)) % 1.12/1.35 (define @t53 () (tptp.cK @t47 @t1)) % 1.12/1.35 (define @t54 () (forall @t22 (or (not @t53) @t52))) % 1.12/1.35 (define @t55 () (@quantifiers_skolemize @t54 0)) % 1.12/1.35 (define @t56 () (forall @t12 (or @t43 (_ @t3 @t55)))) % 1.12/1.35 (define @t57 () (@quantifiers_skolemize @t56 0)) % 1.12/1.35 (define @t58 () (forall @t22 (or (not @t52) (_ @t57 @t1)))) % 1.12/1.35 (define @t59 () (@quantifiers_skolemize @t58 0)) % 1.12/1.35 (define @t60 () (forall @t12 (or @t43 (_ @t3 @t59)))) % 1.12/1.35 (define @t61 () (_ @t47 @t59)) % 1.12/1.35 (define @t62 () (forall @t14 (= @t45 @t48))) % 1.12/1.35 (define @t63 () (= @t60 @t61)) % 1.12/1.35 (define @t64 () (= @t61 @t60)) % 1.12/1.35 (define @t65 () (@list false)) % 1.12/1.35 (define @t66 () (@list @t62)) % 1.12/1.35 (define @t67 () (not @t8)) % 1.12/1.35 (define @t68 () (or @t67 @t6)) % 1.12/1.35 (define @t69 () (forall @t9 @t68)) % 1.12/1.35 (define @t70 () (lambda @t14 (forall @t12 (or (not @t69) @t4)))) % 1.12/1.35 (define @t71 () (tptp.cK @t46 @t1)) % 1.12/1.35 (define @t72 () (_ (_ tptp.cK @t46) @t1)) % 1.12/1.35 (define @t73 () (_ @t3 @t1)) % 1.12/1.35 (define @t74 () (tptp.cK @t3 @t2)) % 1.12/1.35 (define @t75 () (forall @t14 (or (not @t74) @t37))) % 1.12/1.35 (define @t76 () (not @t75)) % 1.12/1.35 (define @t77 () (forall @t12 (or @t76 @t73))) % 1.12/1.35 (define @t78 () (not @t77)) % 1.12/1.35 (define @t79 () (or @t78 @t72)) % 1.12/1.35 (define @t80 () (or @t43 @t4)) % 1.12/1.35 (define @t81 () (or @t76 @t16)) % 1.12/1.35 (define @t82 () (not @t17)) % 1.12/1.35 (define @t83 () (or @t82 @t4)) % 1.12/1.35 (define @t84 () (@var "BOUND_VARIABLE_7475" tptp.a)) % 1.12/1.35 (define @t85 () (tptp.cK @t24 @t84)) % 1.12/1.35 (define @t86 () (not (tptp.cK @t26 @t84))) % 1.12/1.35 (define @t87 () (_ @t24 @t1)) % 1.12/1.35 (define @t88 () (_ @t26 @t1)) % 1.12/1.35 (define @t89 () (forall @t22 (or (not @t88) @t87))) % 1.12/1.35 (define @t90 () (not @t89)) % 1.12/1.35 (define @t91 () (or @t90 @t86 @t85)) % 1.12/1.35 (define @t92 () (or @t86 @t85)) % 1.12/1.35 (define @t93 () (or @t90 @t92)) % 1.12/1.35 (define @t94 () (@list @t26 @t24 @t84)) % 1.12/1.35 (define @t95 () (forall @t94 @t93)) % 1.12/1.35 (define @t96 () (@list @t84)) % 1.12/1.35 (define @t97 () (forall @t96 @t93)) % 1.12/1.35 (define @t98 () (forall @t96 @t92)) % 1.12/1.35 (define @t99 () (or @t90 @t98)) % 1.12/1.35 (define @t100 () (tptp.cK @t24 @t1)) % 1.12/1.35 (define @t101 () (tptp.cK @t26 @t1)) % 1.12/1.35 (define @t102 () (forall @t22 (or (not @t101) @t100))) % 1.12/1.35 (define @t103 () (not @t27)) % 1.12/1.35 (define @t104 () (or @t103 @t25)) % 1.12/1.35 (define @t105 () (not @t30)) % 1.12/1.35 (define @t106 () (or @t105 @t29)) % 1.12/1.35 (define @t107 () (_ @t47 @t55)) % 1.12/1.35 (define @t108 () (= @t56 @t107)) % 1.12/1.35 (define @t109 () (@list @t55)) % 1.12/1.35 (define @t110 () (= @t107 @t56)) % 1.12/1.35 (define @t111 () (tptp.cK @t47 @t2)) % 1.12/1.35 (define @t112 () (_ tptp.cK @t47)) % 1.12/1.35 (define @t113 () (not (tptp.cK @t112 @t2))) % 1.12/1.35 (define @t114 () (forall @t14 (or @t113 @t111))) % 1.12/1.35 (define @t115 () (@quantifiers_skolemize @t114 0)) % 1.12/1.35 (define @t116 () (tptp.cK @t47 @t115)) % 1.12/1.35 (define @t117 () (tptp.cK @t112 @t115)) % 1.12/1.35 (define @t118 () (not @t117)) % 1.12/1.35 (define @t119 () (_ @t112 @t1)) % 1.12/1.35 (define @t120 () (not @t119)) % 1.12/1.35 (define @t121 () (or @t120 @t52)) % 1.12/1.35 (define @t122 () (_ @t112 @t1)) % 1.12/1.35 (define @t123 () (not @t122)) % 1.12/1.35 (define @t124 () (or @t123 @t52)) % 1.12/1.35 (define @t125 () (forall @t22 @t124)) % 1.12/1.35 (define @t126 () (not @t125)) % 1.12/1.35 (define @t127 () (or @t126 @t118 @t116)) % 1.12/1.35 (define @t128 () (forall @t94 @t91)) % 1.12/1.35 (define @t129 () (not @t54)) % 1.12/1.35 (define @t130 () (or @t129 @t118 @t116)) % 1.12/1.35 (define @t131 () (forall @t22 (or @t78 @t71))) % 1.12/1.35 (define @t132 () (@quantifiers_skolemize @t131 0)) % 1.12/1.35 (define @t133 () (tptp.cK @t47 @t132)) % 1.12/1.35 (define @t134 () (forall @t12 (or @t76 (_ @t3 @t132)))) % 1.12/1.35 (define @t135 () (not @t134)) % 1.12/1.35 (define @t136 () (or @t135 @t133)) % 1.12/1.35 (define @t137 () (not @t136)) % 1.12/1.35 (define @t138 () (not @t131)) % 1.12/1.35 (define @t139 () (tptp.cK @t46 @t132)) % 1.12/1.35 (define @t140 () (or @t135 @t139)) % 1.12/1.35 (define @t141 () (not @t140)) % 1.12/1.35 (define @t142 () (@list true)) % 1.12/1.35 (define @t143 () (@list @t136)) % 1.12/1.35 (define @t144 () (_ @t112 @t132)) % 1.12/1.35 (define @t145 () (not @t114)) % 1.12/1.35 (define @t146 () (or @t145 @t144)) % 1.12/1.35 (define @t147 () (_ @t112 @t132)) % 1.12/1.35 (define @t148 () (_ @t112 @t2)) % 1.12/1.35 (define @t149 () (or @t113 @t148)) % 1.12/1.35 (define @t150 () (_ @t112 @t2)) % 1.12/1.35 (define @t151 () (or @t113 @t150)) % 1.12/1.35 (define @t152 () (forall @t14 @t151)) % 1.12/1.35 (define @t153 () (not @t152)) % 1.12/1.35 (define @t154 () (or @t153 @t147)) % 1.12/1.35 (define @t155 () (or @t145 @t133)) % 1.12/1.35 (define @t156 () (@list true false)) % 1.12/1.35 (define @t157 () (or @t118 @t116)) % 1.12/1.35 (define @t158 () (@list @t157)) % 1.12/1.35 (define @t159 () (@list false true false)) % 1.12/1.35 (define @t160 () (tptp.cK @t47 @t55)) % 1.12/1.35 (define @t161 () (not @t160)) % 1.12/1.35 (define @t162 () (or @t161 @t107)) % 1.12/1.35 (define @t163 () (@list @t162)) % 1.12/1.35 (define @t164 () (not @t56)) % 1.12/1.35 (define @t165 () (forall @t9 (or (not (tptp.cK @t57 @t5)) (_ @t57 @t5)))) % 1.12/1.35 (define @t166 () (_ @t57 @t55)) % 1.12/1.35 (define @t167 () (not @t165)) % 1.12/1.35 (define @t168 () (or @t167 @t166)) % 1.12/1.35 (define @t169 () (@list @t168)) % 1.12/1.35 (define @t170 () (tptp.cK @t57 @t55)) % 1.12/1.35 (define @t171 () (not @t170)) % 1.12/1.35 (define @t172 () (or @t171 @t166)) % 1.12/1.35 (define @t173 () (not @t58)) % 1.12/1.35 (define @t174 () (or @t173 @t161 @t170)) % 1.12/1.35 (define @t175 () (_ @t57 @t59)) % 1.12/1.35 (define @t176 () (not @t61)) % 1.12/1.35 (define @t177 () (or @t176 @t175)) % 1.12/1.35 (define @t178 () (@list @t177)) % 1.12/1.35 (define @t179 () (or @t167 @t175)) % 1.12/1.35 (define @t180 () (not @t179)) % 1.12/1.35 (assume @p1 @t36) % 1.12/1.35 (assume @p2 true) % 1.12/1.35 (step @p3 :rule eq-symm :args (@t48 @t45)) % 1.12/1.35 (step @p4 :rule beta-reduce :args ((= @t49 @t45))) % 1.12/1.35 (step @p5 :rule refl :args (@t48)) % 1.12/1.35 (step @p6 :rule cong :premises (@p5 @p4) :args (@t50)) % 1.12/1.35 (step @p7 :rule trans :premises (@p6 @p3)) % 1.12/1.35 (step @p8 :rule cong :premises (@p7) :args (@t51)) % 1.12/1.35 (step @p9 :rule quant-unused-vars :args ((= (forall @t14 true) true))) % 1.12/1.35 (step @p10 :rule eq-refl :args (@t49)) % 1.12/1.35 (step @p11 :rule cong :premises (@p10) :args ((forall @t14 (= @t49 @t49)))) % 1.12/1.35 (step @p12 :rule trans :premises (@p11 @p9)) % 1.12/1.35 (step @p13 :rule refl :args (@t49)) % 1.12/1.35 (step @p14 :rule refl :args (@t2)) % 1.12/1.35 (step @p15 :rule skolem_intro :args (@t47)) % 1.12/1.35 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 1.12/1.35 (step @p17 :rule cong :premises (@p16 @p13) :args (@t50)) % 1.12/1.35 (step @p18 :rule cong :premises (@p17) :args (@t51)) % 1.12/1.35 (step @p19 :rule trans :premises (@p18 @p12)) % 1.12/1.35 (step @p20 :rule true_elim :premises (@p19)) % 1.12/1.35 (step @p21 :rule eq_resolve :premises (@p20 @p8)) % 1.12/1.35 (step @p22 :rule eq-symm :args (@t60 @t61)) % 1.12/1.35 (step @p23 :rule refl :args (@t62)) % 1.12/1.35 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t62 @t63))) % 1.12/1.35 (assume-push @p348 @t62) % 1.12/1.35 (step @p26 :rule instantiate :premises (@p21) :args ((@list @t59))) % 1.12/1.35 (step-pop @p349 :rule scope :premises (@p26)) % 1.12/1.35 (step @p27 :rule process_scope :premises (@p349) :args (@t63)) % 1.12/1.35 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 1.12/1.35 (step @p30 :rule implies_elim :premises (@p29)) % 1.12/1.35 (step @p31 :rule chain_m_resolution :premises (@p30 @p21) :args (@t64 @t65 @t66)) % 1.12/1.35 (step @p32 :rule refl :args ((tptp.cK @t70 @t1))) % 1.12/1.35 (step @p33 :rule refl :args (@t1)) % 1.12/1.35 (step @p34 :rule refl :args (@t37)) % 1.12/1.35 (step @p35 :rule refl :args (@t38)) % 1.12/1.35 (step @p36 :rule refl :args (@t39)) % 1.12/1.35 (step @p37 :rule cong :premises (@p36) :args (@t40)) % 1.12/1.35 (step @p38 :rule nary_cong :premises (@p37 @p35) :args (@t41)) % 1.12/1.35 (step @p39 :rule cong :premises (@p38) :args (@t42)) % 1.12/1.35 (step @p40 :rule cong :premises (@p39) :args (@t43)) % 1.12/1.35 (step @p41 :rule nary_cong :premises (@p40 @p34) :args (@t44)) % 1.12/1.35 (step @p42 :rule cong :premises (@p41) :args (@t45)) % 1.12/1.35 (step @p43 :rule cong :premises (@p42) :args (@t46)) % 1.12/1.35 (step @p44 :rule cong :premises (@p43 @p33) :args (@t71)) % 1.12/1.35 (step @p45 :rule trans :premises (@p44 @p32)) % 1.12/1.35 (step @p46 :rule refl :args (tptp.cK)) % 1.12/1.35 (step @p47 :rule ho_cong :premises (@p46 @p43)) % 1.12/1.35 (step @p48 :rule ho_cong :premises (@p47 @p33)) % 1.12/1.35 (step @p49 :rule cong :premises (@p48 @p45) :args ((= @t72 @t71))) % 1.12/1.35 (step @p50 :rule symm :premises (@p49)) % 1.12/1.35 (step @p51 :rule refl :args ((_ (_ tptp.cK @t70) @t1))) % 1.12/1.35 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 1.12/1.35 (step @p53 :rule refl :args (@t78)) % 1.12/1.35 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t79)) % 1.12/1.35 (step @p55 :rule cong :premises (@p54) :args ((forall @t22 @t79))) % 1.12/1.35 (step @p56 :rule bool-impl-elim :args (@t77 @t72)) % 1.12/1.35 (step @p57 :rule cong :premises (@p56) :args ((forall @t22 (=> @t77 @t72)))) % 1.12/1.35 (step @p58 :rule trans :premises (@p57 @p55)) % 1.12/1.35 (step @p59 :rule refl :args (@t1)) % 1.12/1.35 (step @p60 :rule refl :args (@t4)) % 1.12/1.35 (step @p61 :rule cong :premises (@p60 @p34) :args ((= @t4 @t37))) % 1.12/1.35 (step @p62 :rule symm :premises (@p61)) % 1.12/1.35 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 1.12/1.35 (step @p64 :rule refl :args (@t43)) % 1.12/1.35 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t80)) % 1.12/1.35 (step @p66 :rule cong :premises (@p65) :args ((forall @t12 @t80))) % 1.12/1.35 (step @p67 :rule bool-impl-elim :args (@t42 @t4)) % 1.12/1.35 (step @p68 :rule cong :premises (@p67) :args ((forall @t12 (=> @t42 @t4)))) % 1.12/1.35 (step @p69 :rule trans :premises (@p68 @p66)) % 1.12/1.35 (step @p70 :rule refl :args (@t4)) % 1.12/1.35 (step @p71 :rule refl :args (@t6)) % 1.12/1.35 (step @p72 :rule cong :premises (@p71 @p35) :args ((= @t6 @t38))) % 1.12/1.35 (step @p73 :rule symm :premises (@p72)) % 1.12/1.35 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 1.12/1.35 (step @p75 :rule refl :args (@t8)) % 1.12/1.35 (step @p76 :rule cong :premises (@p75 @p36) :args ((= @t8 @t39))) % 1.12/1.35 (step @p77 :rule symm :premises (@p76)) % 1.12/1.35 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 1.12/1.35 (step @p79 :rule cong :premises (@p78) :args (@t67)) % 1.12/1.35 (step @p80 :rule nary_cong :premises (@p79 @p74) :args (@t68)) % 1.12/1.35 (step @p81 :rule cong :premises (@p80) :args (@t69)) % 1.12/1.35 (step @p82 :rule bool-impl-elim :args (@t8 @t6)) % 1.12/1.35 (step @p83 :rule cong :premises (@p82) :args (@t10)) % 1.12/1.35 (step @p84 :rule trans :premises (@p83 @p81)) % 1.12/1.35 (step @p85 :rule cong :premises (@p84 @p70) :args (@t11)) % 1.12/1.35 (step @p86 :rule cong :premises (@p85) :args (@t13)) % 1.12/1.35 (step @p87 :rule trans :premises (@p86 @p69)) % 1.12/1.35 (step @p88 :rule cong :premises (@p87) :args (@t15)) % 1.12/1.35 (step @p89 :rule refl :args (tptp.cK)) % 1.12/1.35 (step @p90 :rule ho_cong :premises (@p89 @p88)) % 1.12/1.35 (step @p91 :rule ho_cong :premises (@p90 @p59)) % 1.12/1.35 (step @p92 :rule refl :args (@t73)) % 1.12/1.35 (step @p93 :rule refl :args (@t16)) % 1.12/1.35 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t16 @t73))) % 1.12/1.35 (step @p95 :rule symm :premises (@p94)) % 1.12/1.35 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 1.12/1.35 (step @p97 :rule refl :args (@t76)) % 1.12/1.35 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t81)) % 1.12/1.35 (step @p99 :rule cong :premises (@p98) :args ((forall @t12 @t81))) % 1.12/1.35 (step @p100 :rule bool-impl-elim :args (@t75 @t16)) % 1.12/1.35 (step @p101 :rule cong :premises (@p100) :args ((forall @t12 (=> @t75 @t16)))) % 1.12/1.35 (step @p102 :rule trans :premises (@p101 @p99)) % 1.12/1.35 (step @p103 :rule refl :args (@t16)) % 1.12/1.35 (step @p104 :rule refl :args (@t74)) % 1.12/1.35 (step @p105 :rule refl :args (@t17)) % 1.12/1.35 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(@t165 @t142 @t169)) % 1.12/1.35 (step @p310 :rule instantiate :premises (@p309) :args (@t109)) % 1.12/1.35 (step @p311 :rule cnf_or_neg :args (@t168 1)) % 1.12/1.35 (step @p312 :rule chain_m_resolution :premises (@p311 @p302) :args ((not @t166) @t142 @t169)) % 1.12/1.35 (step @p313 :rule cnf_or_pos :args (@t172)) % 1.12/1.35 (step @p314 :rule reordering :premises (@p313) :args ((or @t166 @t171 (not @t172)))) % 1.12/1.35 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p310) :args (@t171 @t156 (@list @t166 @t172))) % 1.12/1.35 (step @p316 :rule bool-double-not-elim :args (@t160)) % 1.12/1.35 (step @p317 :rule refl :args (@t162)) % 1.12/1.35 (step @p318 :rule nary_cong :premises (@p317 @p316) :args ((or @t162 (not @t161)))) % 1.12/1.35 (step @p319 :rule cnf_or_neg :args (@t162 0)) % 1.12/1.35 (step @p320 :rule eq_resolve :premises (@p319 @p318)) % 1.12/1.35 (step @p321 :rule reordering :premises (@p320) :args ((or @t160 @t162))) % 1.12/1.35 (step @p322 :rule chain_m_resolution :premises (@p321 @p296) :args (@t160 @t142 @t163)) % 1.12/1.35 (step @p323 :rule cnf_or_pos :args (@t174)) % 1.12/1.35 (step @p324 :rule reordering :premises (@p323) :args ((or @t161 @t170 @t173 (not @t174)))) % 1.12/1.35 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p315 @p175) :args (@t173 @t159 (@list @t160 @t170 @t174))) % 1.12/1.36 (step @p326 :rule skolemize :premises (@p325)) % 1.12/1.36 (step @p327 :rule bool-double-not-elim :args (@t61)) % 1.12/1.36 (step @p328 :rule refl :args (@t177)) % 1.12/1.36 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or @t177 (not @t176)))) % 1.12/1.36 (step @p330 :rule cnf_or_neg :args (@t177 0)) % 1.12/1.36 (step @p331 :rule eq_resolve :premises (@p330 @p329)) % 1.12/1.36 (step @p332 :rule reordering :premises (@p331) :args ((or @t61 @t177))) % 1.12/1.36 (step @p333 :rule chain_m_resolution :premises (@p332 @p326) :args (@t61 @t142 @t178)) % 1.12/1.36 (step @p334 :rule cnf_equiv_pos1 :args (@t64)) % 1.12/1.36 (step @p335 :rule reordering :premises (@p334) :args ((or @t176 @t60 (not @t64)))) % 1.12/1.36 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p31) :args (@t60 (@list false false) (@list @t61 @t64))) % 1.12/1.36 (step @p337 :rule cnf_or_neg :args (@t177 1)) % 1.12/1.36 (step @p338 :rule chain_m_resolution :premises (@p337 @p326) :args ((not @t175) @t142 @t178)) % 1.12/1.36 (step @p339 :rule cnf_or_pos :args (@t179)) % 1.12/1.36 (step @p340 :rule reordering :premises (@p339) :args ((or @t167 @t175 @t180))) % 1.12/1.36 (step @p341 :rule chain_m_resolution :premises (@p340 @p309 @p338) :args (@t180 (@list false true) (@list @t165 @t175))) % 1.12/1.36 (assume-push @p358 @t60) % 1.12/1.36 (step @p343 :rule instantiate :premises (@p336) :args ((@list @t57))) % 1.12/1.36 (step-pop @p359 :rule scope :premises (@p343)) % 1.12/1.36 (step @p344 :rule process_scope :premises (@p359) :args (@t179)) % 1.12/1.36 (step @p346 :rule implies_elim :premises (@p344)) % 1.12/1.36 (step @p347 false :rule chain_m_resolution :premises (@p346 @p341 @p336) :args (false @t156 (@list @t179 @t60))) % 1.12/1.36 ) % 1.12/1.36 % SZS output end Proof % 1.12/1.36 % cvc5 exiting %------------------------------------------------------------------------------