%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG078+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:05:10 AM UTC 2026 % Result : Theorem 0.40s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG078+1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.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 : Wed Jun 3 01:39:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.62 % SZS status Theorem % 0.40/0.62 % SZS output start Proof % 0.40/0.62 ( % 0.40/0.62 (declare-sort $$unsorted 0) % 0.40/0.62 (declare-const tptp.e13 $$unsorted) % 0.40/0.62 (declare-const tptp.e12 $$unsorted) % 0.40/0.62 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.e11 $$unsorted) % 0.40/0.62 (declare-const tptp.e10 $$unsorted) % 0.40/0.62 (declare-const tptp.e24 $$unsorted) % 0.40/0.62 (declare-const tptp.e23 $$unsorted) % 0.40/0.62 (declare-const tptp.e22 $$unsorted) % 0.40/0.62 (declare-const tptp.e21 $$unsorted) % 0.40/0.62 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.e14 $$unsorted) % 0.40/0.62 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.e20 $$unsorted) % 0.40/0.62 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.40/0.62 (define @t1 () (= tptp.e12 tptp.e13)) % 0.40/0.62 (define @t2 () (not @t1)) % 0.40/0.62 (define @t3 () (= tptp.e11 tptp.e13)) % 0.40/0.62 (define @t4 () (not @t3)) % 0.40/0.62 (define @t5 () (= tptp.e11 tptp.e12)) % 0.40/0.62 (define @t6 () (not @t5)) % 0.40/0.62 (define @t7 () (= tptp.e23 tptp.e24)) % 0.40/0.62 (define @t8 () (not @t7)) % 0.40/0.62 (define @t9 () (= tptp.e20 tptp.e24)) % 0.40/0.62 (define @t10 () (not @t9)) % 0.40/0.62 (define @t11 () (= tptp.e20 tptp.e23)) % 0.40/0.62 (define @t12 () (not @t11)) % 0.40/0.62 (define @t13 () (tptp.op1 tptp.e14 tptp.e14)) % 0.40/0.62 (define @t14 () (tptp.op1 tptp.e14 tptp.e13)) % 0.40/0.62 (define @t15 () (tptp.op1 tptp.e14 tptp.e12)) % 0.40/0.62 (define @t16 () (tptp.op1 tptp.e14 tptp.e11)) % 0.40/0.62 (define @t17 () (tptp.op1 tptp.e14 tptp.e10)) % 0.40/0.62 (define @t18 () (tptp.op1 tptp.e13 tptp.e14)) % 0.40/0.62 (define @t19 () (tptp.op1 tptp.e13 tptp.e13)) % 0.40/0.62 (define @t20 () (tptp.op1 tptp.e13 tptp.e12)) % 0.40/0.62 (define @t21 () (tptp.op1 tptp.e13 tptp.e11)) % 0.40/0.62 (define @t22 () (tptp.op1 tptp.e13 tptp.e10)) % 0.40/0.62 (define @t23 () (tptp.op1 tptp.e12 tptp.e14)) % 0.40/0.62 (define @t24 () (tptp.op1 tptp.e12 tptp.e13)) % 0.40/0.62 (define @t25 () (tptp.op1 tptp.e12 tptp.e12)) % 0.40/0.62 (define @t26 () (tptp.op1 tptp.e12 tptp.e11)) % 0.40/0.62 (define @t27 () (tptp.op1 tptp.e12 tptp.e10)) % 0.40/0.62 (define @t28 () (tptp.op1 tptp.e11 tptp.e14)) % 0.40/0.62 (define @t29 () (tptp.op1 tptp.e11 tptp.e13)) % 0.40/0.62 (define @t30 () (tptp.op1 tptp.e11 tptp.e12)) % 0.40/0.62 (define @t31 () (tptp.op1 tptp.e11 tptp.e11)) % 0.40/0.62 (define @t32 () (tptp.op1 tptp.e11 tptp.e10)) % 0.40/0.62 (define @t33 () (tptp.op1 tptp.e10 tptp.e14)) % 0.40/0.62 (define @t34 () (tptp.op1 tptp.e10 tptp.e13)) % 0.40/0.62 (define @t35 () (tptp.op1 tptp.e10 tptp.e12)) % 0.40/0.62 (define @t36 () (tptp.op1 tptp.e10 tptp.e11)) % 0.40/0.62 (define @t37 () (tptp.op1 tptp.e10 tptp.e10)) % 0.40/0.62 (define @t38 () (tptp.op2 tptp.e24 tptp.e24)) % 0.40/0.62 (define @t39 () (tptp.op2 tptp.e24 tptp.e23)) % 0.40/0.62 (define @t40 () (tptp.op2 tptp.e24 tptp.e22)) % 0.40/0.62 (define @t41 () (tptp.op2 tptp.e24 tptp.e21)) % 0.40/0.62 (define @t42 () (tptp.op2 tptp.e24 tptp.e20)) % 0.40/0.62 (define @t43 () (tptp.op2 tptp.e23 tptp.e24)) % 0.40/0.62 (define @t44 () (tptp.op2 tptp.e23 tptp.e23)) % 0.40/0.62 (define @t45 () (tptp.op2 tptp.e23 tptp.e22)) % 0.40/0.62 (define @t46 () (tptp.op2 tptp.e23 tptp.e21)) % 0.40/0.62 (define @t47 () (tptp.op2 tptp.e23 tptp.e20)) % 0.40/0.62 (define @t48 () (tptp.op2 tptp.e22 tptp.e24)) % 0.40/0.62 (define @t49 () (tptp.op2 tptp.e22 tptp.e23)) % 0.40/0.62 (define @t50 () (tptp.op2 tptp.e22 tptp.e22)) % 0.40/0.62 (define @t51 () (tptp.op2 tptp.e22 tptp.e21)) % 0.40/0.62 (define @t52 () (tptp.op2 tptp.e22 tptp.e20)) % 0.40/0.62 (define @t53 () (tptp.op2 tptp.e21 tptp.e24)) % 0.40/0.62 (define @t54 () (tptp.op2 tptp.e21 tptp.e23)) % 0.40/0.62 (define @t55 () (tptp.op2 tptp.e21 tptp.e22)) % 0.40/0.62 (define @t56 () (tptp.op2 tptp.e21 tptp.e21)) % 0.40/0.62 (define @t57 () (tptp.op2 tptp.e21 tptp.e20)) % 0.40/0.62 (define @t58 () (tptp.op2 tptp.e20 tptp.e24)) % 0.40/0.62 (define @t59 () (tptp.op2 tptp.e20 tptp.e23)) % 0.40/0.62 (define @t60 () (tptp.op2 tptp.e20 tptp.e22)) % 0.40/0.62 (define @t61 () (tptp.op2 tptp.e20 tptp.e21)) % 0.40/0.62 (define @t62 () (tptp.op2 tptp.e20 tptp.e20)) % 0.40/0.62 (define @t63 () (tptp.h tptp.e14)) % 0.40/0.62 (define @t64 () (tptp.j @t63)) % 0.40/0.62 (define @t65 () (tptp.h tptp.e13)) % 0.40/0.62 (define @t66 () (tptp.j @t65)) % 0.40/0.62 (define @t67 () (tptp.h tptp.e12)) % 0.40/0.62 (define @t68 () (tptp.j @t67)) % 0.40/0.62 (define @t69 () (tptp.h tptp.e11)) % 0.40/0.62 (define @t70 () (tptp.j @t69)) % 0.40/0.62 (define @t71 () (tptp.h tptp.e10)) % 0.40/0.62 (define @t72 () (tptp.j @t71)) % 0.40/0.62 (define @t73 () (tptp.j tptp.e24)) % 0.40/0.62 (define @t74 () (tptp.h @t73)) % 0.40/0.62 (define @t75 () (tptp.j tptp.e23)) % 0.40/0.62 (define @t76 () (tptp.h @t75)) % 0.40/0.62 (define @t77 () (tptp.j tptp.e22)) % 0.40/0.62 (define @t78 () (tptp.h @t77)) % 0.40/0.62 (define @t79 () (tptp.j tptp.e21)) % 0.40/0.62 (define @t80 () (tptp.h @t79)) % 0.40/0.62 (define @t81 () (tptp.j tptp.e20)) % 0.40/0.62 (define @t82 () (tptp.h @t81)) % 0.40/0.62 (define @t83 () (tptp.j @t38)) % 0.40/0.62 (define @t84 () (= @t83 (tptp.op1 @t73 @t73))) % 0.40/0.62 (define @t85 () (tptp.j @t39)) % 0.40/0.62 (define @t86 () (= @t85 (tptp.op1 @t73 @t75))) % 0.40/0.62 (define @t87 () (= (tptp.j @t40) (tptp.op1 @t73 @t77))) % 0.40/0.62 (define @t88 () (= (tptp.j @t41) (tptp.op1 @t73 @t79))) % 0.40/0.62 (define @t89 () (tptp.j @t42)) % 0.40/0.62 (define @t90 () (= @t89 (tptp.op1 @t73 @t81))) % 0.40/0.62 (define @t91 () (tptp.j @t43)) % 0.40/0.62 (define @t92 () (= @t91 (tptp.op1 @t75 @t73))) % 0.40/0.62 (define @t93 () (= (tptp.j @t44) (tptp.op1 @t75 @t75))) % 0.40/0.62 (define @t94 () (= (tptp.j @t45) (tptp.op1 @t75 @t77))) % 0.40/0.62 (define @t95 () (= (tptp.j @t46) (tptp.op1 @t75 @t79))) % 0.40/0.62 (define @t96 () (= (tptp.j @t47) (tptp.op1 @t75 @t81))) % 0.40/0.62 (define @t97 () (= (tptp.j @t48) (tptp.op1 @t77 @t73))) % 0.40/0.62 (define @t98 () (= (tptp.j @t49) (tptp.op1 @t77 @t75))) % 0.40/0.62 (define @t99 () (= (tptp.j @t50) (tptp.op1 @t77 @t77))) % 0.40/0.62 (define @t100 () (= (tptp.j @t51) (tptp.op1 @t77 @t79))) % 0.40/0.62 (define @t101 () (= (tptp.j @t52) (tptp.op1 @t77 @t81))) % 0.40/0.62 (define @t102 () (= (tptp.j @t53) (tptp.op1 @t79 @t73))) % 0.40/0.62 (define @t103 () (= (tptp.j @t54) (tptp.op1 @t79 @t75))) % 0.40/0.62 (define @t104 () (= (tptp.j @t55) (tptp.op1 @t79 @t77))) % 0.40/0.62 (define @t105 () (= (tptp.j @t56) (tptp.op1 @t79 @t79))) % 0.40/0.62 (define @t106 () (= (tptp.j @t57) (tptp.op1 @t79 @t81))) % 0.40/0.62 (define @t107 () (= (tptp.j @t58) (tptp.op1 @t81 @t73))) % 0.40/0.62 (define @t108 () (= (tptp.j @t59) (tptp.op1 @t81 @t75))) % 0.40/0.62 (define @t109 () (= (tptp.j @t60) (tptp.op1 @t81 @t77))) % 0.40/0.62 (define @t110 () (= (tptp.j @t61) (tptp.op1 @t81 @t79))) % 0.40/0.62 (define @t111 () (= (tptp.j @t62) (tptp.op1 @t81 @t81))) % 0.40/0.62 (define @t112 () (tptp.h @t13)) % 0.40/0.62 (define @t113 () (= @t112 (tptp.op2 @t63 @t63))) % 0.40/0.62 (define @t114 () (= (tptp.h @t14) (tptp.op2 @t63 @t65))) % 0.40/0.62 (define @t115 () (= (tptp.h @t15) (tptp.op2 @t63 @t67))) % 0.40/0.62 (define @t116 () (= (tptp.h @t16) (tptp.op2 @t63 @t69))) % 0.40/0.62 (define @t117 () (= (tptp.h @t17) (tptp.op2 @t63 @t71))) % 0.40/0.62 (define @t118 () (= (tptp.h @t18) (tptp.op2 @t65 @t63))) % 0.40/0.62 (define @t119 () (= (tptp.h @t19) (tptp.op2 @t65 @t65))) % 0.40/0.62 (define @t120 () (= (tptp.h @t20) (tptp.op2 @t65 @t67))) % 0.40/0.62 (define @t121 () (= (tptp.h @t21) (tptp.op2 @t65 @t69))) % 0.40/0.62 (define @t122 () (= (tptp.h @t22) (tptp.op2 @t65 @t71))) % 0.40/0.62 (define @t123 () (= (tptp.h @t23) (tptp.op2 @t67 @t63))) % 0.40/0.62 (define @t124 () (= (tptp.h @t24) (tptp.op2 @t67 @t65))) % 0.40/0.62 (define @t125 () (= (tptp.h @t25) (tptp.op2 @t67 @t67))) % 0.40/0.62 (define @t126 () (= (tptp.h @t26) (tptp.op2 @t67 @t69))) % 0.40/0.62 (define @t127 () (= (tptp.h @t27) (tptp.op2 @t67 @t71))) % 0.40/0.62 (define @t128 () (= (tptp.h @t28) (tptp.op2 @t69 @t63))) % 0.40/0.62 (define @t129 () (= (tptp.h @t29) (tptp.op2 @t69 @t65))) % 0.40/0.62 (define @t130 () (= (tptp.h @t30) (tptp.op2 @t69 @t67))) % 0.40/0.62 (define @t131 () (= (tptp.h @t31) (tptp.op2 @t69 @t69))) % 0.40/0.62 (define @t132 () (= (tptp.h @t32) (tptp.op2 @t69 @t71))) % 0.40/0.62 (define @t133 () (= (tptp.h @t33) (tptp.op2 @t71 @t63))) % 0.40/0.62 (define @t134 () (= (tptp.h @t34) (tptp.op2 @t71 @t65))) % 0.40/0.62 (define @t135 () (= (tptp.h @t35) (tptp.op2 @t71 @t67))) % 0.40/0.62 (define @t136 () (= (tptp.h @t36) (tptp.op2 @t71 @t69))) % 0.40/0.62 (define @t137 () (tptp.h @t37)) % 0.40/0.62 (define @t138 () (= @t137 (tptp.op2 @t71 @t71))) % 0.40/0.62 (define @t139 () (and @t138 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t111 @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t87 @t86 @t84 (= @t82 tptp.e20) (= @t80 tptp.e21) (= @t78 tptp.e22) (= @t76 tptp.e23) (= @t74 tptp.e24) (= @t72 tptp.e10) (= @t70 tptp.e11) (= @t68 tptp.e12) (= @t66 tptp.e13) (= @t64 tptp.e14))) % 0.40/0.62 (define @t140 () (not @t139)) % 0.40/0.62 (define @t141 () (or (= @t73 tptp.e10) (= @t73 tptp.e11) (= @t73 tptp.e12) (= @t73 tptp.e13) (= @t73 tptp.e14))) % 0.40/0.62 (define @t142 () (or (= @t75 tptp.e10) (= @t75 tptp.e11) (= @t75 tptp.e12) (= @t75 tptp.e13) (= @t75 tptp.e14))) % 0.40/0.62 (define @t143 () (or (= @t77 tptp.e10) (= @t77 tptp.e11) (= @t77 tptp.e12) (= @t77 tptp.e13) (= @t77 tptp.e14))) % 0.40/0.62 (define @t144 () (or (= @t79 tptp.e10) (= @t79 tptp.e11) (= @t79 tptp.e12) (= @t79 tptp.e13) (= @t79 tptp.e14))) % 0.40/0.62 (define @t145 () (or (= @t81 tptp.e10) (= @t81 tptp.e11) (= @t81 tptp.e12) (= @t81 tptp.e13) (= @t81 tptp.e14))) % 0.40/0.62 (define @t146 () (or (= @t63 tptp.e20) (= @t63 tptp.e21) (= @t63 tptp.e22) (= @t63 tptp.e23) (= @t63 tptp.e24))) % 0.40/0.62 (define @t147 () (or (= @t65 tptp.e20) (= @t65 tptp.e21) (= @t65 tptp.e22) (= @t65 tptp.e23) (= @t65 tptp.e24))) % 0.40/0.62 (define @t148 () (or (= @t67 tptp.e20) (= @t67 tptp.e21) (= @t67 tptp.e22) (= @t67 tptp.e23) (= @t67 tptp.e24))) % 0.40/0.62 (define @t149 () (or (= @t69 tptp.e20) (= @t69 tptp.e21) (= @t69 tptp.e22) (= @t69 tptp.e23) (= @t69 tptp.e24))) % 0.40/0.62 (define @t150 () (or (= @t71 tptp.e20) (= @t71 tptp.e21) (= @t71 tptp.e22) (= @t71 tptp.e23) (= @t71 tptp.e24))) % 0.40/0.62 (define @t151 () (and @t150 @t149 @t148 @t147 @t146 @t145 @t144 @t143 @t142 @t141)) % 0.40/0.62 (define @t152 () (=> @t151 @t140)) % 0.40/0.62 (define @t153 () (not @t152)) % 0.40/0.62 (define @t154 () (= tptp.e13 @t73)) % 0.40/0.62 (define @t155 () (not @t154)) % 0.40/0.62 (define @t156 () (= tptp.e24 @t42)) % 0.40/0.62 (define @t157 () (not @t156)) % 0.40/0.62 (define @t158 () (= tptp.e20 @t38)) % 0.40/0.62 (define @t159 () (not @t158)) % 0.40/0.62 (define @t160 () (= tptp.e14 @t19)) % 0.40/0.62 (define @t161 () (not @t160)) % 0.40/0.62 (define @t162 () (= tptp.e11 @t18)) % 0.40/0.62 (define @t163 () (not @t162)) % 0.40/0.62 (define @t164 () (not @t84)) % 0.40/0.62 (define @t165 () (not @t90)) % 0.40/0.62 (define @t166 () (not @t4)) % 0.40/0.62 (define @t167 () (= tptp.e11 @t73)) % 0.40/0.62 (define @t168 () (= false true)) % 0.40/0.62 (define @t169 () (and @t154 @t167 @t4)) % 0.40/0.62 (define @t170 () (@list true false false false false false false)) % 0.40/0.62 (define @t171 () (= tptp.e13 @t23)) % 0.40/0.62 (define @t172 () (= tptp.e14 @t25)) % 0.40/0.62 (define @t173 () (= tptp.e12 @t73)) % 0.40/0.62 (define @t174 () (and @t90 @t84 @t171 @t172 @t158 @t156 @t173)) % 0.40/0.62 (define @t175 () (not @t173)) % 0.40/0.62 (define @t176 () (not @t171)) % 0.40/0.62 (define @t177 () (= tptp.e10 @t37)) % 0.40/0.62 (define @t178 () (= tptp.e10 @t73)) % 0.40/0.62 (define @t179 () (= tptp.e24 @t74)) % 0.40/0.62 (define @t180 () (= tptp.e20 @t71)) % 0.40/0.62 (define @t181 () (and @t138 @t177 @t158 @t178 @t179)) % 0.40/0.62 (define @t182 () (not @t179)) % 0.40/0.62 (define @t183 () (not @t178)) % 0.40/0.62 (define @t184 () (not @t180)) % 0.40/0.62 (define @t185 () (= tptp.e20 @t62)) % 0.40/0.62 (define @t186 () (not @t185)) % 0.40/0.62 (define @t187 () (= tptp.e24 @t71)) % 0.40/0.62 (define @t188 () (and @t185 @t180 @t187 @t10)) % 0.40/0.62 (define @t189 () (= tptp.e12 @t28)) % 0.40/0.62 (define @t190 () (= tptp.e14 @t31)) % 0.40/0.62 (define @t191 () (and @t90 @t84 @t189 @t190 @t158 @t156 @t167)) % 0.40/0.62 (define @t192 () (not @t189)) % 0.40/0.62 (define @t193 () (= tptp.e14 @t73)) % 0.40/0.62 (define @t194 () (= tptp.e23 @t63)) % 0.40/0.62 (define @t195 () (not @t194)) % 0.40/0.62 (define @t196 () (not @t193)) % 0.40/0.62 (define @t197 () (= tptp.e24 @t63)) % 0.40/0.62 (define @t198 () (and @t8 @t193 @t179)) % 0.40/0.62 (define @t199 () (= tptp.e13 @t75)) % 0.40/0.62 (define @t200 () (not @t199)) % 0.40/0.62 (define @t201 () (= tptp.e22 @t43)) % 0.40/0.62 (define @t202 () (not @t201)) % 0.40/0.62 (define @t203 () (= tptp.e22 @t39)) % 0.40/0.62 (define @t204 () (not @t203)) % 0.40/0.62 (define @t205 () (= tptp.e11 @t36)) % 0.40/0.62 (define @t206 () (not @t205)) % 0.40/0.62 (define @t207 () (= tptp.e12 @t14)) % 0.40/0.62 (define @t208 () (not @t207)) % 0.40/0.62 (define @t209 () (not @t86)) % 0.40/0.62 (define @t210 () (not @t92)) % 0.40/0.62 (define @t211 () (= tptp.e11 @t77)) % 0.40/0.62 (define @t212 () (= tptp.e12 @t77)) % 0.40/0.62 (define @t213 () (and @t205 @t211 @t212 @t6)) % 0.40/0.62 (define @t214 () (@list true false false false false false false false false)) % 0.40/0.62 (define @t215 () (= tptp.e12 @t75)) % 0.40/0.62 (define @t216 () (not @t215)) % 0.40/0.62 (define @t217 () (= tptp.e11 @t15)) % 0.40/0.62 (define @t218 () (not @t217)) % 0.40/0.62 (define @t219 () (= tptp.e13 @t77)) % 0.40/0.62 (define @t220 () (and @t219 @t211 @t4)) % 0.40/0.62 (define @t221 () (= tptp.e11 @t75)) % 0.40/0.62 (define @t222 () (not @t221)) % 0.40/0.62 (define @t223 () (= tptp.e12 @t35)) % 0.40/0.62 (define @t224 () (not @t223)) % 0.40/0.62 (define @t225 () (= tptp.e13 @t16)) % 0.40/0.62 (define @t226 () (not @t225)) % 0.40/0.62 (define @t227 () (and @t223 @t212 @t219 @t2)) % 0.40/0.62 (define @t228 () (= tptp.e23 @t76)) % 0.40/0.62 (define @t229 () (not @t228)) % 0.40/0.62 (define @t230 () (= tptp.e20 @t82)) % 0.40/0.62 (define @t231 () (not @t230)) % 0.40/0.62 (define @t232 () (= tptp.e10 @t75)) % 0.40/0.62 (define @t233 () (not @t232)) % 0.40/0.62 (define @t234 () (= tptp.e10 @t13)) % 0.40/0.62 (define @t235 () (not @t234)) % 0.40/0.62 (define @t236 () (not @t113)) % 0.40/0.62 (define @t237 () (= tptp.e23 @t71)) % 0.40/0.62 (define @t238 () (and @t185 @t180 @t237 @t12)) % 0.40/0.62 (define @t239 () (= tptp.e14 @t75)) % 0.40/0.62 (define @t240 () (and @t239 @t193 @t228)) % 0.40/0.62 (assume @p1 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) (not (= tptp.e10 tptp.e13)) (not (= tptp.e10 tptp.e14)) @t6 @t4 (not (= tptp.e11 tptp.e14)) @t2 (not (= tptp.e12 tptp.e14)) (not (= tptp.e13 tptp.e14)))) % 0.40/0.62 (assume @p2 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) @t12 @t10 (not (= tptp.e21 tptp.e22)) (not (= tptp.e21 tptp.e23)) (not (= tptp.e21 tptp.e24)) (not (= tptp.e22 tptp.e23)) (not (= tptp.e22 tptp.e24)) @t8)) % 0.40/0.62 (assume @p3 (and (not (= tptp.e10 tptp.e20)) (not (= tptp.e10 tptp.e21)) (not (= tptp.e10 tptp.e22)) (not (= tptp.e10 tptp.e23)) (not (= tptp.e10 tptp.e24)) (not (= tptp.e11 tptp.e20)) (not (= tptp.e11 tptp.e21)) (not (= tptp.e11 tptp.e22)) (not (= tptp.e11 tptp.e23)) (not (= tptp.e11 tptp.e24)) (not (= tptp.e12 tptp.e20)) (not (= tptp.e12 tptp.e21)) (not (= tptp.e12 tptp.e22)) (not (= tptp.e12 tptp.e23)) (not (= tptp.e12 tptp.e24)) (not (= tptp.e13 tptp.e20)) (not (= tptp.e13 tptp.e21)) (not (= tptp.e13 tptp.e22)) (not (= tptp.e13 tptp.e23)) (not (= tptp.e13 tptp.e24)) (not (= tptp.e14 tptp.e20)) (not (= tptp.e14 tptp.e21)) (not (= tptp.e14 tptp.e22)) (not (= tptp.e14 tptp.e23)) (not (= tptp.e14 tptp.e24)))) % 0.40/0.62 (assume @p4 (and (= @t37 tptp.e10) (= @t36 tptp.e11) (= @t35 tptp.e12) (= @t34 tptp.e13) (= @t33 tptp.e14) (= @t32 tptp.e11) (= @t31 tptp.e14) (= @t30 tptp.e13) (= @t29 tptp.e10) (= @t28 tptp.e12) (= @t27 tptp.e12) (= @t26 tptp.e10) (= @t25 tptp.e14) (= @t24 tptp.e11) (= @t23 tptp.e13) (= @t22 tptp.e13) (= @t21 tptp.e12) (= @t20 tptp.e10) (= @t19 tptp.e14) (= @t18 tptp.e11) (= @t17 tptp.e14) (= @t16 tptp.e13) (= @t15 tptp.e11) (= @t14 tptp.e12) (= @t13 tptp.e10))) % 0.40/0.62 (assume @p5 (and (= @t62 tptp.e20) (= @t61 tptp.e21) (= @t60 tptp.e22) (= @t59 tptp.e23) (= @t58 tptp.e24) (= @t57 tptp.e21) (= @t56 tptp.e22) (= @t55 tptp.e24) (= @t54 tptp.e20) (= @t53 tptp.e23) (= @t52 tptp.e22) (= @t51 tptp.e20) (= @t50 tptp.e23) (= @t49 tptp.e24) (= @t48 tptp.e21) (= @t47 tptp.e23) (= @t46 tptp.e24) (= @t45 tptp.e20) (= @t44 tptp.e21) (= @t43 tptp.e22) (= @t42 tptp.e24) (= @t41 tptp.e23) (= @t40 tptp.e21) (= @t39 tptp.e22) (= @t38 tptp.e20))) % 0.40/0.62 (assume @p6 @t153) % 0.40/0.62 (assume @p7 true) % 0.40/0.62 (step @p8 :rule eq-symm :args (@t64 tptp.e14)) % 0.40/0.62 (step @p9 :rule eq-symm :args (@t66 tptp.e13)) % 0.40/0.62 (step @p10 :rule eq-symm :args (@t68 tptp.e12)) % 0.40/0.62 (step @p11 :rule eq-symm :args (@t70 tptp.e11)) % 0.40/0.62 (step @p12 :rule eq-symm :args (@t72 tptp.e10)) % 0.40/0.62 (step @p13 :rule eq-symm :args (@t74 tptp.e24)) % 0.40/0.62 (step @p14 :rule eq-symm :args (@t76 tptp.e23)) % 0.40/0.62 (step @p15 :rule eq-symm :args (@t78 tptp.e22)) % 0.40/0.62 (step @p16 :rule eq-symm :args (@t80 tptp.e21)) % 0.40/0.62 (step @p17 :rule eq-symm :args (@t82 tptp.e20)) % 0.40/0.62 (step @p18 :rule refl :args (@t84)) % 0.40/0.62 (step @p19 :rule refl :args (@t86)) % 0.40/0.62 (step @p20 :rule refl :args (@t87)) % 0.40/0.62 (step @p21 :rule refl :args (@t88)) % 0.40/0.62 (step @p22 :rule refl :args (@t90)) % 0.40/0.62 (step @p23 :rule refl :args (@t92)) % 0.40/0.62 (step @p24 :rule refl :args (@t93)) % 0.40/0.62 (step @p25 :rule refl :args (@t94)) % 0.40/0.62 (step @p26 :rule refl :args (@t95)) % 0.40/0.62 (step @p27 :rule refl :args (@t96)) % 0.40/0.62 (step @p28 :rule refl :args (@t97)) % 0.40/0.62 (step @p29 :rule refl :args (@t98)) % 0.40/0.62 (step @p30 :rule refl :args (@t99)) % 0.40/0.62 (step @p31 :rule refl :args (@t100)) % 0.40/0.62 (step @p32 :rule refl :args (@t101)) % 0.40/0.62 (step @p33 :rule refl :args (@t102)) % 0.40/0.62 (step @p34 :rule refl :args (@t103)) % 0.40/0.62 (step @p35 :rule refl :args (@t104)) % 0.40/0.62 (step @p36 :rule refl :args (@t105)) % 0.40/0.62 (step @p37 :rule refl :args (@t106)) % 0.40/0.62 (step @p38 :rule refl :args (@t107)) % 0.40/0.62 (step @p39 :rule refl :args (@t108)) % 0.40/0.62 (step @p40 :rule refl :args (@t109)) % 0.40/0.62 (step @p41 :rule refl :args (@t110)) % 0.40/0.62 (step @p42 :rule refl :args (@t111)) % 0.40/0.62 (step @p43 :rule refl :args (@t113)) % 0.40/0.62 (step @p44 :rule refl :args (@t114)) % 0.40/0.62 (step @p45 :rule refl :args (@t115)) % 0.40/0.62 (step @p46 :rule refl :args (@t116)) % 0.40/0.62 (step @p47 :rule refl :args (@t117)) % 0.40/0.62 (step @p48 :rule refl :args (@t118)) % 0.40/0.62 (step @p49 :rule refl :args (@t119)) % 0.40/0.62 (step @p50 :rule refl :args (@t120)) % 0.40/0.62 (step @p51 :rule refl :args (@t121)) % 0.40/0.62 (step @p52 :rule refl :args (@t122)) % 0.40/0.62 (step @p53 :rule refl :args (@t123)) % 0.40/0.62 (step @p54 :rule refl :args (@t124)) % 0.40/0.62 (step @p55 :rule refl :args (@t125)) % 0.40/0.62 (step @p56 :rule refl :args (@t126)) % 0.40/0.62 (step @p57 :rule refl :args (@t127)) % 0.40/0.62 (step @p58 :rule refl :args (@t128)) % 0.40/0.62 (step @p59 :rule refl :args (@t129)) % 0.40/0.62 (step @p60 :rule refl :args (@t130)) % 0.40/0.62 (step @p61 :rule refl :args (@t131)) % 0.40/0.62 (step @p62 :rule refl :args (@t132)) % 0.40/0.62 (step @p63 :rule refl :args (@t133)) % 0.40/0.62 (step @p64 :rule refl :args (@t134)) % 0.40/0.62 (step @p65 :rule refl :args (@t135)) % 0.40/0.62 (step @p66 :rule refl :args (@t136)) % 0.40/0.62 (step @p67 :rule refl :args (@t138)) % 0.40/0.62 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8) :args (@t139)) % 0.40/0.62 (step @p69 :rule cong :premises (@p68) :args (@t140)) % 0.40/0.62 (step @p70 :rule eq-symm :args (@t73 tptp.e14)) % 0.40/0.62 (step @p71 :rule eq-symm :args (@t73 tptp.e13)) % 0.40/0.62 (step @p72 :rule eq-symm :args (@t73 tptp.e12)) % 0.40/0.62 (step @p73 :rule eq-symm :args (@t73 tptp.e11)) % 0.40/0.62 (step @p74 :rule eq-symm :args (@t73 tptp.e10)) % 0.40/0.62 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72 @p71 @p70) :args (@t141)) % 0.40/0.62 (step @p76 :rule eq-symm :args (@t75 tptp.e14)) % 0.40/0.62 (step @p77 :rule eq-symm :args (@t75 tptp.e13)) % 0.40/0.62 (step @p78 :rule eq-symm :args (@t75 tptp.e12)) % 0.40/0.62 (step @p79 :rule eq-symm :args (@t75 tptp.e11)) % 0.40/0.62 (step @p80 :rule eq-symm :args (@t75 tptp.e10)) % 0.40/0.63 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @p76) :args (@t142)) % 0.40/0.63 (step @p82 :rule eq-symm :args (@t77 tptp.e14)) % 0.40/0.63 (step @p83 :rule eq-symm :args (@t77 tptp.e13)) % 0.40/0.63 (step @p84 :rule eq-symm :args (@t77 tptp.e12)) % 0.40/0.63 (step @p85 :rule eq-symm :args (@t77 tptp.e11)) % 0.40/0.63 (step @p86 :rule eq-symm :args (@t77 tptp.e10)) % 0.40/0.63 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84 @p83 @p82) :args (@t143)) % 0.40/0.63 (step @p88 :rule eq-symm :args (@t79 tptp.e14)) % 0.40/0.63 (step @p89 :rule eq-symm :args (@t79 tptp.e13)) % 0.40/0.63 (step @p90 :rule eq-symm :args (@t79 tptp.e12)) % 0.40/0.63 (step @p91 :rule eq-symm :args (@t79 tptp.e11)) % 0.40/0.63 (step @p92 :rule eq-symm :args (@t79 tptp.e10)) % 0.40/0.63 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p88) :args (@t144)) % 0.40/0.63 (step @p94 :rule eq-symm :args (@t81 tptp.e14)) % 0.40/0.63 (step @p95 :rule eq-symm :args (@t81 tptp.e13)) % 0.40/0.63 (step @p96 :rule eq-symm :args (@t81 tptp.e12)) % 0.40/0.63 (step @p97 :rule eq-symm :args (@t81 tptp.e11)) % 0.40/0.63 (step @p98 :rule eq-symm :args (@t81 tptp.e10)) % 0.40/0.63 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95 @p94) :args (@t145)) % 0.40/0.63 (step @p100 :rule eq-symm :args (@t63 tptp.e24)) % 0.40/0.63 (step @p101 :rule eq-symm :args (@t63 tptp.e23)) % 0.40/0.63 (step @p102 :rule eq-symm :args (@t63 tptp.e22)) % 0.40/0.63 (step @p103 :rule eq-symm :args (@t63 tptp.e21)) % 0.40/0.63 (step @p104 :rule eq-symm :args (@t63 tptp.e20)) % 0.40/0.63 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p100) :args (@t146)) % 0.40/0.63 (step @p106 :rule eq-symm :args (@t65 tptp.e24)) % 0.40/0.63 (step @p107 :rule eq-symm :args (@t65 tptp.e23)) % 0.40/0.63 (step @p108 :rule eq-symm :args (@t65 tptp.e22)) % 0.40/0.63 (step @p109 :rule eq-symm :args (@t65 tptp.e21)) % 0.40/0.63 (step @p110 :rule eq-symm :args (@t65 tptp.e20)) % 0.40/0.63 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108 @p107 @p106) :args (@t147)) % 0.40/0.63 (step @p112 :rule eq-symm :args (@t67 tptp.e24)) % 0.40/0.63 (step @p113 :rule eq-symm :args (@t67 tptp.e23)) % 0.40/0.63 (step @p114 :rule eq-symm :args (@t67 tptp.e22)) % 0.40/0.63 (step @p115 :rule eq-symm :args (@t67 tptp.e21)) % 0.40/0.63 (step @p116 :rule eq-symm :args (@t67 tptp.e20)) % 0.40/0.63 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p113 @p112) :args (@t148)) % 0.40/0.63 (step @p118 :rule eq-symm :args (@t69 tptp.e24)) % 0.40/0.63 (step @p119 :rule eq-symm :args (@t69 tptp.e23)) % 0.40/0.63 (step @p120 :rule eq-symm :args (@t69 tptp.e22)) % 0.40/0.63 (step @p121 :rule eq-symm :args (@t69 tptp.e21)) % 0.40/0.63 (step @p122 :rule eq-symm :args (@t69 tptp.e20)) % 0.40/0.63 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120 @p119 @p118) :args (@t149)) % 0.40/0.63 (step @p124 :rule eq-symm :args (@t71 tptp.e24)) % 0.40/0.63 (step @p125 :rule eq-symm :args (@t71 tptp.e23)) % 0.40/0.63 (step @p126 :rule eq-symm :args (@t71 tptp.e22)) % 0.40/0.63 (step @p127 :rule eq-symm :args (@t71 tptp.e21)) % 0.40/0.63 (step @p128 :rule eq-symm :args (@t71 tptp.e20)) % 0.40/0.63 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125 @p124) :args (@t150)) % 0.40/0.63 (step @p130 :rule nary_cong :premises (@p129 @p123 @p117 @p111 @p105 @p99 @p93 @p87 @p81 @p75) :args (@t151)) % 0.40/0.63 (step @p131 :rule cong :premises (@p130 @p69) :args (@t152)) % 0.40/0.63 (step @p132 :rule cong :premises (@p131) :args (@t153)) % 0.40/0.63 (step @p133 :rule eq_resolve :premises (@p6 @p132)) % 0.40/0.63 (step @p134 :rule not_implies_elim2 :premises (@p133)) % 0.40/0.63 (step @p135 :rule not_not_elim :premises (@p134)) % 0.40/0.63 (step @p136 :rule and_elim :premises (@p135) :args (53)) % 0.40/0.63 (step @p137 :rule and_elim :premises (@p135) :args (49)) % 0.40/0.63 (step @p138 :rule and_elim :premises (@p135) :args (45)) % 0.40/0.63 (step @p139 :rule and_elim :premises (@p5) :args (24)) % 0.40/0.63 (step @p140 :rule symm :premises (@p139)) % 0.40/0.63 (step @p141 :rule and_elim :premises (@p5) :args (20)) % 0.40/0.63 (step @p142 :rule symm :premises (@p141)) % 0.40/0.63 (step @p143 :rule and_elim :premises (@p4) :args (19)) % 0.40/0.63 (step @p144 :rule symm :premises (@p143)) % 0.40/0.63 (step @p145 :rule and_elim :premises (@p4) :args (18)) % 0.40/0.63 (step @p146 :rule symm :premises (@p145)) % 0.40/0.63 (step @p147 :rule and_elim :premises (@p1) :args (5)) % 0.40/0.63 (step @p148 :rule refl :args (@t155)) % 0.40/0.63 (step @p149 :rule refl :args (@t157)) % 0.40/0.63 (step @p150 :rule refl :args (@t159)) % 0.40/0.63 (step @p151 :rule refl :args (@t161)) % 0.40/0.63 (step @p152 :rule refl :args (@t163)) % 0.40/0.63 (step @p153 :rule refl :args (@t164)) % 0.40/0.63 (step @p154 :rule refl :args (@t165)) % 0.40/0.63 (step @p155 :rule bool-double-not-elim :args (@t3)) % 0.40/0.63 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148) :args ((or @t166 @t165 @t164 @t163 @t161 @t159 @t157 @t155))) % 0.40/0.63 (assume-push @p849 @t154) % 0.40/0.63 (assume-push @p850 @t167) % 0.40/0.63 (assume-push @p851 @t4) % 0.40/0.63 (step @p160 :rule evaluate :args (@t168)) % 0.40/0.63 (step @p161 :rule symm :premises (@p849)) % 0.40/0.63 (step @p162 :rule trans :premises (@p850 @p161)) % 0.40/0.63 (step @p163 :rule true_intro :premises (@p162)) % 0.40/0.63 (step @p164 :rule false_intro :premises (@p147)) % 0.40/0.63 (step @p165 :rule symm :premises (@p164)) % 0.40/0.63 (step @p166 :rule trans :premises (@p165 @p163)) % 0.40/0.63 (step @p167 false :rule eq_resolve :premises (@p166 @p160)) % 0.40/0.63 (step-pop @p852 :rule scope :premises (@p167)) % 0.40/0.63 (step-pop @p853 :rule scope :premises (@p852)) % 0.40/0.63 (step-pop @p854 :rule scope :premises (@p853)) % 0.40/0.63 (step 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0.38/0.63 (assume-push @p1119 @t221) % 0.38/0.63 (assume-push @p1120 @t193) % 0.38/0.63 (assume-push @p1121 @t189) % 0.38/0.63 (step @p518 :rule cong :premises (@p452) :args (@t91)) % 0.38/0.63 (step @p519 :rule symm :premises (@p449)) % 0.38/0.63 (step @p681 :rule cong :premises (@p1105 @p1106) :args (@t28)) % 0.38/0.63 (step @p682 :rule trans :premises (@p364 @p681 @p519 @p518)) % 0.38/0.63 (step-pop @p1122 :rule scope :premises (@p682)) % 0.38/0.63 (step-pop @p1123 :rule scope :premises (@p1122)) % 0.38/0.63 (step-pop @p1124 :rule scope :premises (@p1123)) % 0.38/0.63 (step-pop @p1125 :rule scope :premises (@p1124)) % 0.38/0.63 (step-pop @p1126 :rule scope :premises (@p1125)) % 0.38/0.63 (step @p683 :rule process_scope :premises (@p1126) :args (@t212)) % 0.38/0.63 (step @p689 :rule and_intro :premises (@p453 @p449 @p1105 @p1106 @p364)) % 0.38/0.63 (step @p690 :rule modus_ponens :premises (@p689 @p683)) % 0.38/0.63 (step @p691 :rule and_intro :premises (@p625 @p690 @p675 @p626)) % 0.38/0.63 (step-pop @p1127 :rule scope :premises (@p691)) % 0.38/0.63 (step-pop @p1128 :rule scope :premises (@p1127)) % 0.38/0.63 (step-pop @p1129 :rule scope :premises (@p1128)) % 0.38/0.63 (step-pop @p1130 :rule scope :premises (@p1129)) % 0.38/0.63 (step-pop @p1131 :rule scope :premises (@p1130)) % 0.38/0.63 (step-pop @p1132 :rule scope :premises (@p1131)) % 0.38/0.63 (step-pop @p1133 :rule scope :premises (@p1132)) % 0.38/0.63 (step-pop @p1134 :rule scope :premises (@p1133)) % 0.38/0.63 (step-pop @p1135 :rule scope :premises (@p1134)) % 0.38/0.63 (step-pop @p1136 :rule scope :premises (@p1135)) % 0.38/0.63 (step @p692 :rule process_scope :premises (@p1136) :args (@t227)) % 0.38/0.63 (step @p703 :rule implies_elim :premises (@p692)) % 0.38/0.63 (step @p704 :rule resolution :premises (@p703 @p646) :args (true @t227)) % 0.38/0.63 (step @p705 :rule not_and :premises (@p704)) % 0.38/0.63 (step @p706 :rule eq_resolve :premises (@p705 @p632)) % 0.38/0.63 (step @p707 :rule reordering :premises (@p706) :args ((or @t1 @t224 @t192 @t226 @t202 @t204 @t222 @t196 @t210 @t209))) % 0.38/0.63 (step @p708 :rule chain_m_resolution :premises (@p707 @p626 @p625 @p364 @p623 @p453 @p451 @p406 @p449 @p448) :args (@t222 @t214 (@list @t1 @t223 @t189 @t225 @t201 @t203 @t193 @t92 @t86))) % 0.38/0.63 (step @p709 :rule and_elim :premises (@p135) :args (50)) % 0.38/0.63 (step @p710 :rule and_elim :premises (@p135) :args (24)) % 0.38/0.63 (step @p711 :rule and_elim :premises (@p4) :args (24)) % 0.38/0.63 (step @p712 :rule symm :premises (@p711)) % 0.38/0.63 (step @p713 :rule and_elim :premises (@p2) :args (2)) % 0.38/0.63 (step @p714 :rule refl :args (@t229)) % 0.38/0.63 (step @p715 :rule refl :args (@t231)) % 0.38/0.63 (step @p716 :rule refl :args (@t233)) % 0.38/0.63 (step @p717 :rule refl :args (@t235)) % 0.38/0.63 (step @p718 :rule refl :args (@t236)) % 0.38/0.63 (step @p719 :rule bool-double-not-elim :args (@t11)) % 0.38/0.63 (step @p720 :rule nary_cong :premises (@p719 @p718 @p153 @p717 @p150 @p311 @p716 @p409 @p715 @p714 @p308) :args ((or (not @t12) @t236 @t164 @t235 @t159 @t186 @t233 @t196 @t231 @t229 @t182))) % 0.38/0.63 (assume-push @p1137 @t185) % 0.38/0.63 (assume-push @p1138 @t180) % 0.38/0.63 (assume-push @p1139 @t237) % 0.38/0.63 (assume-push @p1140 @t12) % 0.38/0.63 (step @p160 :rule evaluate :args (@t168)) % 0.38/0.63 (step @p725 :rule symm :premises (@p1138)) % 0.38/0.63 (step @p726 :rule trans :premises (@p1139 @p725 @p307)) % 0.38/0.63 (step @p727 :rule symm :premises (@p726)) % 0.38/0.63 (step @p728 :rule trans :premises (@p307 @p727)) % 0.38/0.63 (step @p729 :rule true_intro :premises (@p728)) % 0.38/0.63 (step @p730 :rule false_intro :premises (@p713)) % 0.38/0.63 (step @p731 :rule symm :premises (@p730)) % 0.38/0.63 (step @p732 :rule trans :premises (@p731 @p729)) % 0.38/0.63 (step @p733 false :rule eq_resolve :premises (@p732 @p160)) % 0.38/0.63 (step-pop @p1141 :rule scope :premises (@p733)) % 0.38/0.63 (step-pop @p1142 :rule scope :premises (@p1141)) % 0.38/0.63 (step-pop @p1143 :rule scope :premises (@p1142)) % 0.38/0.63 (step-pop @p1144 :rule scope :premises (@p1143)) % 0.38/0.63 (step @p734 :rule process_scope :premises (@p1144) :args (false)) % 0.38/0.63 (assume-push @p1145 @t12) % 0.38/0.63 (assume-push @p1146 @t113) % 0.38/0.63 (assume-push @p1147 @t84) % 0.38/0.63 (assume-push @p1148 @t234) % 0.38/0.63 (assume-push @p1149 @t158) % 0.38/0.63 (assume-push @p1150 @t185) % 0.38/0.63 (assume-push @p1151 @t232) % 0.38/0.63 (assume-push @p1152 @t193) % 0.38/0.63 (assume-push @p1153 @t230) % 0.38/0.63 (assume-push @p1154 @t228) % 0.38/0.63 (assume-push @p1155 @t179) % 0.38/0.63 (assume-push @p1156 @t234) % 0.38/0.63 (assume-push @p1157 @t113) % 0.38/0.63 (assume-push @p1158 @t193) % 0.38/0.63 (assume-push @p1159 @t179) % 0.38/0.63 (assume-push @p1160 @t158) % 0.38/0.63 (assume-push @p1161 @t230) % 0.38/0.63 (assume-push @p1162 @t84) % 0.38/0.63 (assume-push @p1163 @t232) % 0.38/0.63 (assume-push @p1164 @t228) % 0.38/0.63 (step @p759 :rule cong :premises (@p711) :args (@t112)) % 0.38/0.63 (step @p760 :rule symm :premises (@p710)) % 0.38/0.63 (step @p761 :rule symm :premises (@p1152)) % 0.38/0.63 (step @p762 :rule cong :premises (@p761) :args (@t74)) % 0.38/0.63 (step @p763 :rule trans :premises (@p269 @p762)) % 0.38/0.63 (step @p764 :rule cong :premises (@p763 @p763) :args (@t38)) % 0.38/0.63 (step @p765 :rule symm :premises (@p709)) % 0.38/0.63 (step @p189 :rule cong :premises (@p139) :args (@t83)) % 0.38/0.63 (step @p190 :rule symm :premises (@p137)) % 0.38/0.63 (step @p766 :rule cong :premises (@p1152 @p1152) :args (@t13)) % 0.38/0.63 (step @p767 :rule symm :premises (@p1151)) % 0.38/0.63 (step @p768 :rule trans :premises (@p767 @p712 @p766 @p190 @p189)) % 0.38/0.63 (step @p769 :rule cong :premises (@p768) :args (@t76)) % 0.38/0.63 (step @p770 :rule trans :premises (@p136 @p769 @p765 @p140 @p764 @p760 @p759)) % 0.38/0.63 (step-pop @p1165 :rule scope :premises (@p770)) % 0.38/0.63 (step-pop @p1166 :rule scope :premises (@p1165)) % 0.38/0.63 (step-pop @p1167 :rule scope :premises (@p1166)) % 0.38/0.63 (step-pop @p1168 :rule scope :premises (@p1167)) % 0.38/0.63 (step-pop @p1169 :rule scope :premises (@p1168)) % 0.38/0.63 (step-pop @p1170 :rule scope :premises (@p1169)) % 0.38/0.63 (step-pop @p1171 :rule scope :premises (@p1170)) % 0.38/0.63 (step-pop @p1172 :rule scope :premises (@p1171)) % 0.38/0.63 (step-pop @p1173 :rule scope :premises (@p1172)) % 0.38/0.63 (step @p771 :rule process_scope :premises (@p1173) :args (@t237)) % 0.38/0.63 (step @p781 :rule and_intro :premises (@p712 @p710 @p1152 @p269 @p140 @p709 @p137 @p1151 @p136)) % 0.38/0.63 (step @p782 :rule modus_ponens :premises (@p781 @p771)) % 0.38/0.63 (assume-push @p1174 @t234) % 0.38/0.63 (assume-push @p1175 @t113) % 0.38/0.63 (assume-push @p1176 @t193) % 0.38/0.63 (assume-push @p1177 @t179) % 0.38/0.63 (assume-push @p1178 @t158) % 0.38/0.63 (step @p759 :rule cong :premises (@p711) :args (@t112)) % 0.38/0.63 (step @p760 :rule symm :premises (@p710)) % 0.38/0.63 (step @p788 :rule symm :premises (@p1152)) % 0.38/0.63 (step @p789 :rule cong :premises (@p788) :args (@t74)) % 0.38/0.63 (step @p790 :rule trans :premises (@p269 @p789)) % 0.38/0.63 (step @p791 :rule cong :premises (@p790 @p790) :args (@t38)) % 0.38/0.63 (step @p792 :rule trans :premises (@p140 @p791 @p760 @p759)) % 0.38/0.63 (step-pop @p1179 :rule scope :premises (@p792)) % 0.38/0.63 (step-pop @p1180 :rule scope :premises (@p1179)) % 0.38/0.63 (step-pop @p1181 :rule scope :premises (@p1180)) % 0.38/0.63 (step-pop @p1182 :rule scope :premises (@p1181)) % 0.38/0.63 (step-pop @p1183 :rule scope :premises (@p1182)) % 0.38/0.63 (step @p793 :rule process_scope :premises (@p1183) :args (@t180)) % 0.38/0.63 (step @p799 :rule and_intro :premises (@p712 @p710 @p1152 @p269 @p140)) % 0.38/0.63 (step @p800 :rule modus_ponens :premises (@p799 @p793)) % 0.38/0.63 (step @p801 :rule and_intro :premises (@p307 @p800 @p782 @p713)) % 0.38/0.63 (step-pop @p1184 :rule scope :premises (@p801)) % 0.38/0.63 (step-pop @p1185 :rule scope :premises (@p1184)) % 0.38/0.63 (step-pop @p1186 :rule scope :premises (@p1185)) % 0.38/0.63 (step-pop @p1187 :rule scope :premises (@p1186)) % 0.38/0.63 (step-pop @p1188 :rule scope :premises (@p1187)) % 0.38/0.63 (step-pop @p1189 :rule scope :premises (@p1188)) % 0.38/0.63 (step-pop @p1190 :rule scope :premises (@p1189)) % 0.38/0.63 (step-pop @p1191 :rule scope :premises (@p1190)) % 0.38/0.63 (step-pop @p1192 :rule scope :premises (@p1191)) % 0.38/0.63 (step-pop @p1193 :rule scope :premises (@p1192)) % 0.38/0.63 (step-pop @p1194 :rule scope :premises (@p1193)) % 0.38/0.63 (step @p802 :rule process_scope :premises (@p1194) :args (@t238)) % 0.38/0.63 (step @p814 :rule implies_elim :premises (@p802)) % 0.38/0.63 (step @p815 :rule resolution :premises (@p814 @p734) :args (true @t238)) % 0.38/0.63 (step @p816 :rule not_and :premises (@p815)) % 0.38/0.63 (step @p817 :rule eq_resolve :premises (@p816 @p720)) % 0.38/0.63 (step @p818 :rule reordering :premises (@p817) :args ((or @t11 @t235 @t186 @t159 @t233 @t196 @t236 @t164 @t231 @t229 @t182))) % 0.38/0.63 (step @p819 :rule chain_m_resolution :premises (@p818 @p713 @p712 @p307 @p140 @p406 @p710 @p137 @p709 @p136 @p269) :args (@t233 (@list true false false false false false false false false false) (@list @t11 @t234 @t185 @t158 @t193 @t113 @t84 @t230 @t228 @t179))) % 0.38/0.63 (step @p820 :rule and_elim :premises (@p359) :args (8)) % 0.38/0.63 (step @p821 :rule chain_m_resolution :premises (@p820 @p819 @p708 @p621 @p547) :args (@t239 (@list true true true true) (@list @t232 @t221 @t215 @t199))) % 0.38/0.63 (assume-push @p1195 @t239) % 0.38/0.63 (assume-push @p1196 @t193) % 0.38/0.63 (assume-push @p1197 @t228) % 0.38/0.63 (assume-push @p1198 @t193) % 0.38/0.63 (assume-push @p1199 @t239) % 0.38/0.63 (assume-push @p1200 @t228) % 0.38/0.63 (step @p828 :rule symm :premises (@p1196)) % 0.38/0.63 (step @p829 :rule cong :premises (@p828) :args (@t74)) % 0.38/0.63 (step @p830 :rule symm :premises (@p1195)) % 0.38/0.63 (step @p831 :rule trans :premises (@p830 @p1196)) % 0.38/0.63 (step @p832 :rule cong :premises (@p831) :args (@t76)) % 0.38/0.63 (step @p833 :rule trans :premises (@p136 @p832 @p829)) % 0.38/0.63 (step-pop @p1201 :rule scope :premises (@p833)) % 0.38/0.63 (step-pop @p1202 :rule scope :premises (@p1201)) % 0.38/0.63 (step-pop @p1203 :rule scope :premises (@p1202)) % 0.38/0.63 (step @p834 :rule process_scope :premises (@p1203) :args (@t194)) % 0.38/0.63 (step @p838 :rule and_intro :premises (@p1196 @p1195 @p136)) % 0.38/0.63 (step @p839 :rule modus_ponens :premises (@p838 @p834)) % 0.38/0.63 (step-pop @p1204 :rule scope :premises (@p839)) % 0.38/0.63 (step-pop @p1205 :rule scope :premises (@p1204)) % 0.38/0.63 (step-pop @p1206 :rule scope :premises (@p1205)) % 0.38/0.63 (step @p840 :rule process_scope :premises (@p1206) :args (@t194)) % 0.38/0.63 (step @p844 :rule implies_elim :premises (@p840)) % 0.38/0.63 (step @p845 :rule cnf_and_neg :args (@t240)) % 0.38/0.63 (step @p846 :rule resolution :premises (@p845 @p844) :args (true @t240)) % 0.38/0.63 (step @p847 :rule reordering :premises (@p846) :args ((or @t194 (not @t239) @t196 @t229))) % 0.38/0.63 (step @p848 false :rule chain_m_resolution :premises (@p847 @p821 @p447 @p406 @p136) :args (false (@list false true false false) (@list @t239 @t194 @t193 @t228))) % 0.38/0.63 ) % 0.38/0.63 % SZS output end Proof % 0.38/0.63 % cvc5 exiting %------------------------------------------------------------------------------