%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG088+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 : 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 08:05:11 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG088+1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:39:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.e13 $$unsorted) % 0.38/0.59 (declare-const tptp.e12 $$unsorted) % 0.38/0.59 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.e11 $$unsorted) % 0.38/0.59 (declare-const tptp.e10 $$unsorted) % 0.38/0.59 (declare-const tptp.e24 $$unsorted) % 0.38/0.59 (declare-const tptp.e23 $$unsorted) % 0.38/0.59 (declare-const tptp.e22 $$unsorted) % 0.38/0.59 (declare-const tptp.e21 $$unsorted) % 0.38/0.59 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.e14 $$unsorted) % 0.38/0.59 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.e20 $$unsorted) % 0.38/0.59 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.38/0.59 (define @t1 () (= tptp.e23 tptp.e24)) % 0.38/0.59 (define @t2 () (not @t1)) % 0.38/0.59 (define @t3 () (= tptp.e21 tptp.e24)) % 0.38/0.59 (define @t4 () (not @t3)) % 0.38/0.59 (define @t5 () (tptp.op1 tptp.e14 tptp.e14)) % 0.38/0.59 (define @t6 () (tptp.op1 tptp.e14 tptp.e13)) % 0.38/0.59 (define @t7 () (tptp.op1 tptp.e14 tptp.e12)) % 0.38/0.59 (define @t8 () (tptp.op1 tptp.e14 tptp.e11)) % 0.38/0.59 (define @t9 () (tptp.op1 tptp.e14 tptp.e10)) % 0.38/0.59 (define @t10 () (tptp.op1 tptp.e13 tptp.e14)) % 0.38/0.59 (define @t11 () (tptp.op1 tptp.e13 tptp.e13)) % 0.38/0.59 (define @t12 () (tptp.op1 tptp.e13 tptp.e12)) % 0.38/0.59 (define @t13 () (tptp.op1 tptp.e13 tptp.e11)) % 0.38/0.59 (define @t14 () (tptp.op1 tptp.e13 tptp.e10)) % 0.38/0.59 (define @t15 () (tptp.op1 tptp.e12 tptp.e14)) % 0.38/0.59 (define @t16 () (tptp.op1 tptp.e12 tptp.e13)) % 0.38/0.59 (define @t17 () (tptp.op1 tptp.e12 tptp.e12)) % 0.38/0.59 (define @t18 () (tptp.op1 tptp.e12 tptp.e11)) % 0.38/0.59 (define @t19 () (tptp.op1 tptp.e12 tptp.e10)) % 0.38/0.59 (define @t20 () (tptp.op1 tptp.e11 tptp.e14)) % 0.38/0.59 (define @t21 () (tptp.op1 tptp.e11 tptp.e13)) % 0.38/0.59 (define @t22 () (tptp.op1 tptp.e11 tptp.e12)) % 0.38/0.59 (define @t23 () (tptp.op1 tptp.e11 tptp.e11)) % 0.38/0.59 (define @t24 () (tptp.op1 tptp.e11 tptp.e10)) % 0.38/0.59 (define @t25 () (tptp.op1 tptp.e10 tptp.e14)) % 0.38/0.59 (define @t26 () (tptp.op1 tptp.e10 tptp.e13)) % 0.38/0.59 (define @t27 () (tptp.op1 tptp.e10 tptp.e12)) % 0.38/0.59 (define @t28 () (tptp.op1 tptp.e10 tptp.e11)) % 0.38/0.59 (define @t29 () (tptp.op1 tptp.e10 tptp.e10)) % 0.38/0.59 (define @t30 () (tptp.op2 tptp.e24 tptp.e24)) % 0.38/0.59 (define @t31 () (tptp.op2 tptp.e24 tptp.e23)) % 0.38/0.59 (define @t32 () (tptp.op2 tptp.e24 tptp.e22)) % 0.38/0.59 (define @t33 () (tptp.op2 tptp.e24 tptp.e21)) % 0.38/0.59 (define @t34 () (tptp.op2 tptp.e24 tptp.e20)) % 0.38/0.59 (define @t35 () (tptp.op2 tptp.e23 tptp.e24)) % 0.38/0.59 (define @t36 () (tptp.op2 tptp.e23 tptp.e23)) % 0.38/0.59 (define @t37 () (tptp.op2 tptp.e23 tptp.e22)) % 0.38/0.59 (define @t38 () (tptp.op2 tptp.e23 tptp.e21)) % 0.38/0.59 (define @t39 () (tptp.op2 tptp.e23 tptp.e20)) % 0.38/0.59 (define @t40 () (tptp.op2 tptp.e22 tptp.e24)) % 0.38/0.59 (define @t41 () (tptp.op2 tptp.e22 tptp.e23)) % 0.38/0.59 (define @t42 () (tptp.op2 tptp.e22 tptp.e22)) % 0.38/0.59 (define @t43 () (tptp.op2 tptp.e22 tptp.e21)) % 0.38/0.59 (define @t44 () (tptp.op2 tptp.e22 tptp.e20)) % 0.38/0.59 (define @t45 () (tptp.op2 tptp.e21 tptp.e24)) % 0.38/0.59 (define @t46 () (tptp.op2 tptp.e21 tptp.e23)) % 0.38/0.59 (define @t47 () (tptp.op2 tptp.e21 tptp.e22)) % 0.38/0.59 (define @t48 () (tptp.op2 tptp.e21 tptp.e21)) % 0.38/0.59 (define @t49 () (tptp.op2 tptp.e21 tptp.e20)) % 0.38/0.59 (define @t50 () (tptp.op2 tptp.e20 tptp.e24)) % 0.38/0.59 (define @t51 () (tptp.op2 tptp.e20 tptp.e23)) % 0.38/0.59 (define @t52 () (tptp.op2 tptp.e20 tptp.e22)) % 0.38/0.59 (define @t53 () (tptp.op2 tptp.e20 tptp.e21)) % 0.38/0.59 (define @t54 () (tptp.op2 tptp.e20 tptp.e20)) % 0.38/0.59 (define @t55 () (tptp.h tptp.e14)) % 0.38/0.59 (define @t56 () (tptp.j @t55)) % 0.38/0.59 (define @t57 () (tptp.h tptp.e13)) % 0.38/0.59 (define @t58 () (tptp.j @t57)) % 0.38/0.59 (define @t59 () (tptp.h tptp.e12)) % 0.38/0.59 (define @t60 () (tptp.j @t59)) % 0.38/0.59 (define @t61 () (tptp.h tptp.e11)) % 0.38/0.59 (define @t62 () (tptp.j @t61)) % 0.38/0.59 (define @t63 () (tptp.h tptp.e10)) % 0.38/0.59 (define @t64 () (tptp.j @t63)) % 0.38/0.59 (define @t65 () (tptp.j tptp.e24)) % 0.38/0.59 (define @t66 () (tptp.h @t65)) % 0.38/0.59 (define @t67 () (tptp.j tptp.e23)) % 0.38/0.59 (define @t68 () (tptp.h @t67)) % 0.38/0.59 (define @t69 () (tptp.j tptp.e22)) % 0.38/0.59 (define @t70 () (tptp.h @t69)) % 0.38/0.59 (define @t71 () (tptp.j tptp.e21)) % 0.38/0.59 (define @t72 () (tptp.h @t71)) % 0.38/0.59 (define @t73 () (tptp.j tptp.e20)) % 0.38/0.59 (define @t74 () (tptp.h @t73)) % 0.38/0.59 (define @t75 () (= (tptp.j @t30) (tptp.op1 @t65 @t65))) % 0.38/0.59 (define @t76 () (= (tptp.j @t31) (tptp.op1 @t65 @t67))) % 0.38/0.59 (define @t77 () (= (tptp.j @t32) (tptp.op1 @t65 @t69))) % 0.38/0.59 (define @t78 () (= (tptp.j @t33) (tptp.op1 @t65 @t71))) % 0.38/0.59 (define @t79 () (= (tptp.j @t34) (tptp.op1 @t65 @t73))) % 0.38/0.59 (define @t80 () (= (tptp.j @t35) (tptp.op1 @t67 @t65))) % 0.38/0.59 (define @t81 () (= (tptp.j @t36) (tptp.op1 @t67 @t67))) % 0.38/0.59 (define @t82 () (= (tptp.j @t37) (tptp.op1 @t67 @t69))) % 0.38/0.59 (define @t83 () (= (tptp.j @t38) (tptp.op1 @t67 @t71))) % 0.38/0.59 (define @t84 () (= (tptp.j @t39) (tptp.op1 @t67 @t73))) % 0.38/0.59 (define @t85 () (= (tptp.j @t40) (tptp.op1 @t69 @t65))) % 0.38/0.59 (define @t86 () (= (tptp.j @t41) (tptp.op1 @t69 @t67))) % 0.38/0.59 (define @t87 () (= (tptp.j @t42) (tptp.op1 @t69 @t69))) % 0.38/0.59 (define @t88 () (= (tptp.j @t43) (tptp.op1 @t69 @t71))) % 0.38/0.59 (define @t89 () (= (tptp.j @t44) (tptp.op1 @t69 @t73))) % 0.38/0.59 (define @t90 () (= (tptp.j @t45) (tptp.op1 @t71 @t65))) % 0.38/0.59 (define @t91 () (= (tptp.j @t46) (tptp.op1 @t71 @t67))) % 0.38/0.59 (define @t92 () (= (tptp.j @t47) (tptp.op1 @t71 @t69))) % 0.38/0.59 (define @t93 () (= (tptp.j @t48) (tptp.op1 @t71 @t71))) % 0.38/0.59 (define @t94 () (= (tptp.j @t49) (tptp.op1 @t71 @t73))) % 0.38/0.59 (define @t95 () (= (tptp.j @t50) (tptp.op1 @t73 @t65))) % 0.38/0.59 (define @t96 () (= (tptp.j @t51) (tptp.op1 @t73 @t67))) % 0.38/0.59 (define @t97 () (= (tptp.j @t52) (tptp.op1 @t73 @t69))) % 0.38/0.59 (define @t98 () (= (tptp.j @t53) (tptp.op1 @t73 @t71))) % 0.38/0.59 (define @t99 () (= (tptp.j @t54) (tptp.op1 @t73 @t73))) % 0.38/0.59 (define @t100 () (tptp.h @t5)) % 0.38/0.59 (define @t101 () (= @t100 (tptp.op2 @t55 @t55))) % 0.38/0.59 (define @t102 () (= (tptp.h @t6) (tptp.op2 @t55 @t57))) % 0.38/0.59 (define @t103 () (= (tptp.h @t7) (tptp.op2 @t55 @t59))) % 0.38/0.59 (define @t104 () (= (tptp.h @t8) (tptp.op2 @t55 @t61))) % 0.38/0.59 (define @t105 () (tptp.h @t9)) % 0.38/0.59 (define @t106 () (= @t105 (tptp.op2 @t55 @t63))) % 0.38/0.59 (define @t107 () (= (tptp.h @t10) (tptp.op2 @t57 @t55))) % 0.38/0.59 (define @t108 () (tptp.h @t11)) % 0.38/0.59 (define @t109 () (= @t108 (tptp.op2 @t57 @t57))) % 0.38/0.59 (define @t110 () (= (tptp.h @t12) (tptp.op2 @t57 @t59))) % 0.38/0.59 (define @t111 () (= (tptp.h @t13) (tptp.op2 @t57 @t61))) % 0.38/0.59 (define @t112 () (tptp.h @t14)) % 0.38/0.59 (define @t113 () (= @t112 (tptp.op2 @t57 @t63))) % 0.38/0.59 (define @t114 () (= (tptp.h @t15) (tptp.op2 @t59 @t55))) % 0.38/0.59 (define @t115 () (= (tptp.h @t16) (tptp.op2 @t59 @t57))) % 0.38/0.59 (define @t116 () (tptp.h @t17)) % 0.38/0.59 (define @t117 () (= @t116 (tptp.op2 @t59 @t59))) % 0.38/0.59 (define @t118 () (= (tptp.h @t18) (tptp.op2 @t59 @t61))) % 0.38/0.59 (define @t119 () (tptp.h @t19)) % 0.38/0.59 (define @t120 () (= @t119 (tptp.op2 @t59 @t63))) % 0.38/0.59 (define @t121 () (= (tptp.h @t20) (tptp.op2 @t61 @t55))) % 0.38/0.59 (define @t122 () (= (tptp.h @t21) (tptp.op2 @t61 @t57))) % 0.38/0.59 (define @t123 () (= (tptp.h @t22) (tptp.op2 @t61 @t59))) % 0.38/0.59 (define @t124 () (tptp.h @t23)) % 0.38/0.59 (define @t125 () (= @t124 (tptp.op2 @t61 @t61))) % 0.38/0.59 (define @t126 () (tptp.h @t24)) % 0.38/0.59 (define @t127 () (= @t126 (tptp.op2 @t61 @t63))) % 0.38/0.59 (define @t128 () (= (tptp.h @t25) (tptp.op2 @t63 @t55))) % 0.38/0.59 (define @t129 () (= (tptp.h @t26) (tptp.op2 @t63 @t57))) % 0.38/0.59 (define @t130 () (= (tptp.h @t27) (tptp.op2 @t63 @t59))) % 0.38/0.59 (define @t131 () (= (tptp.h @t28) (tptp.op2 @t63 @t61))) % 0.38/0.59 (define @t132 () (tptp.h @t29)) % 0.38/0.59 (define @t133 () (= @t132 (tptp.op2 @t63 @t63))) % 0.38/0.59 (define @t134 () (and @t133 @t131 @t130 @t129 @t128 @t127 @t125 @t123 @t122 @t121 @t120 @t118 @t117 @t115 @t114 @t113 @t111 @t110 @t109 @t107 @t106 @t104 @t103 @t102 @t101 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 (= @t74 tptp.e20) (= @t72 tptp.e21) (= @t70 tptp.e22) (= @t68 tptp.e23) (= @t66 tptp.e24) (= @t64 tptp.e10) (= @t62 tptp.e11) (= @t60 tptp.e12) (= @t58 tptp.e13) (= @t56 tptp.e14))) % 0.38/0.59 (define @t135 () (not @t134)) % 0.38/0.59 (define @t136 () (or (= @t65 tptp.e10) (= @t65 tptp.e11) (= @t65 tptp.e12) (= @t65 tptp.e13) (= @t65 tptp.e14))) % 0.38/0.59 (define @t137 () (or (= @t67 tptp.e10) (= @t67 tptp.e11) (= @t67 tptp.e12) (= @t67 tptp.e13) (= @t67 tptp.e14))) % 0.38/0.59 (define @t138 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14))) % 0.38/0.59 (define @t139 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14))) % 0.38/0.59 (define @t140 () (or (= @t73 tptp.e10) (= @t73 tptp.e11) (= @t73 tptp.e12) (= @t73 tptp.e13) (= @t73 tptp.e14))) % 0.38/0.59 (define @t141 () (or (= @t55 tptp.e20) (= @t55 tptp.e21) (= @t55 tptp.e22) (= @t55 tptp.e23) (= @t55 tptp.e24))) % 0.38/0.59 (define @t142 () (or (= @t57 tptp.e20) (= @t57 tptp.e21) (= @t57 tptp.e22) (= @t57 tptp.e23) (= @t57 tptp.e24))) % 0.38/0.59 (define @t143 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24))) % 0.38/0.59 (define @t144 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24))) % 0.38/0.59 (define @t145 () (or (= @t63 tptp.e20) (= @t63 tptp.e21) (= @t63 tptp.e22) (= @t63 tptp.e23) (= @t63 tptp.e24))) % 0.38/0.59 (define @t146 () (and @t145 @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136)) % 0.38/0.59 (define @t147 () (=> @t146 @t135)) % 0.38/0.59 (define @t148 () (not @t147)) % 0.38/0.59 (define @t149 () (= tptp.e24 @t66)) % 0.38/0.59 (define @t150 () (not @t149)) % 0.38/0.59 (define @t151 () (= tptp.e13 @t65)) % 0.38/0.59 (define @t152 () (not @t151)) % 0.38/0.59 (define @t153 () (= tptp.e23 @t33)) % 0.38/0.59 (define @t154 () (not @t153)) % 0.38/0.59 (define @t155 () (= tptp.e21 @t30)) % 0.38/0.59 (define @t156 () (not @t155)) % 0.38/0.59 (define @t157 () (= tptp.e13 @t14)) % 0.38/0.59 (define @t158 () (not @t157)) % 0.38/0.59 (define @t159 () (= tptp.e10 @t11)) % 0.38/0.59 (define @t160 () (not @t159)) % 0.38/0.59 (define @t161 () (not @t109)) % 0.38/0.59 (define @t162 () (not @t113)) % 0.38/0.59 (define @t163 () (not @t2)) % 0.38/0.59 (define @t164 () (= tptp.e24 @t57)) % 0.38/0.59 (define @t165 () (= tptp.e23 @t57)) % 0.38/0.59 (define @t166 () (= false true)) % 0.38/0.59 (define @t167 () (and @t164 @t165 @t2)) % 0.38/0.59 (define @t168 () (@list true false false false false false false false)) % 0.38/0.59 (define @t169 () (= tptp.e12 @t65)) % 0.38/0.59 (define @t170 () (not @t169)) % 0.38/0.59 (define @t171 () (= tptp.e12 @t19)) % 0.38/0.59 (define @t172 () (not @t171)) % 0.38/0.59 (define @t173 () (= tptp.e10 @t17)) % 0.38/0.59 (define @t174 () (not @t173)) % 0.38/0.59 (define @t175 () (not @t117)) % 0.38/0.59 (define @t176 () (not @t120)) % 0.38/0.59 (define @t177 () (= tptp.e24 @t59)) % 0.38/0.59 (define @t178 () (= tptp.e23 @t59)) % 0.38/0.59 (define @t179 () (and @t177 @t178 @t2)) % 0.38/0.59 (define @t180 () (= tptp.e11 @t65)) % 0.38/0.59 (define @t181 () (not @t180)) % 0.38/0.59 (define @t182 () (= tptp.e11 @t24)) % 0.38/0.59 (define @t183 () (not @t182)) % 0.38/0.59 (define @t184 () (= tptp.e10 @t23)) % 0.38/0.59 (define @t185 () (not @t184)) % 0.38/0.59 (define @t186 () (not @t125)) % 0.38/0.59 (define @t187 () (not @t127)) % 0.38/0.59 (define @t188 () (= tptp.e24 @t61)) % 0.38/0.59 (define @t189 () (= tptp.e23 @t61)) % 0.38/0.59 (define @t190 () (and @t188 @t189 @t2)) % 0.38/0.59 (define @t191 () (= tptp.e10 @t65)) % 0.38/0.59 (define @t192 () (not @t191)) % 0.38/0.59 (define @t193 () (= tptp.e10 @t29)) % 0.38/0.59 (define @t194 () (not @t193)) % 0.38/0.59 (define @t195 () (not @t133)) % 0.38/0.59 (define @t196 () (= tptp.e24 @t63)) % 0.38/0.59 (define @t197 () (= tptp.e21 @t63)) % 0.38/0.59 (define @t198 () (and @t196 @t197 @t4)) % 0.38/0.59 (define @t199 () (= tptp.e14 @t65)) % 0.38/0.59 (define @t200 () (not @t199)) % 0.38/0.59 (define @t201 () (= tptp.e14 @t9)) % 0.38/0.59 (define @t202 () (not @t201)) % 0.38/0.59 (define @t203 () (= tptp.e10 @t5)) % 0.38/0.59 (define @t204 () (not @t203)) % 0.38/0.59 (define @t205 () (not @t101)) % 0.38/0.59 (define @t206 () (not @t106)) % 0.38/0.59 (define @t207 () (= tptp.e24 @t55)) % 0.38/0.59 (define @t208 () (= tptp.e23 @t55)) % 0.38/0.59 (define @t209 () (and @t207 @t208 @t2)) % 0.38/0.59 (assume @p1 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) (not (= tptp.e10 tptp.e13)) (not (= tptp.e10 tptp.e14)) (not (= tptp.e11 tptp.e12)) (not (= tptp.e11 tptp.e13)) (not (= tptp.e11 tptp.e14)) (not (= tptp.e12 tptp.e13)) (not (= tptp.e12 tptp.e14)) (not (= tptp.e13 tptp.e14)))) % 0.38/0.59 (assume @p2 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) (not (= tptp.e20 tptp.e23)) (not (= tptp.e20 tptp.e24)) (not (= tptp.e21 tptp.e22)) (not (= tptp.e21 tptp.e23)) @t4 (not (= tptp.e22 tptp.e23)) (not (= tptp.e22 tptp.e24)) @t2)) % 0.38/0.59 (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)))) % 0.38/0.59 (assume @p4 (and (= @t29 tptp.e10) (= @t28 tptp.e11) (= @t27 tptp.e12) (= @t26 tptp.e13) (= @t25 tptp.e14) (= @t24 tptp.e11) (= @t23 tptp.e10) (= @t22 tptp.e13) (= @t21 tptp.e14) (= @t20 tptp.e12) (= @t19 tptp.e12) (= @t18 tptp.e14) (= @t17 tptp.e10) (= @t16 tptp.e11) (= @t15 tptp.e13) (= @t14 tptp.e13) (= @t13 tptp.e12) (= @t12 tptp.e14) (= @t11 tptp.e10) (= @t10 tptp.e11) (= @t9 tptp.e14) (= @t8 tptp.e13) (= @t7 tptp.e11) (= @t6 tptp.e12) (= @t5 tptp.e10))) % 0.38/0.59 (assume @p5 (and (= @t54 tptp.e20) (= @t53 tptp.e21) (= @t52 tptp.e22) (= @t51 tptp.e23) (= @t50 tptp.e24) (= @t49 tptp.e21) (= @t48 tptp.e22) (= @t47 tptp.e23) (= @t46 tptp.e24) (= @t45 tptp.e20) (= @t44 tptp.e22) (= @t43 tptp.e24) (= @t42 tptp.e21) (= @t41 tptp.e20) (= @t40 tptp.e23) (= @t39 tptp.e23) (= @t38 tptp.e20) (= @t37 tptp.e24) (= @t36 tptp.e21) (= @t35 tptp.e22) (= @t34 tptp.e24) (= @t33 tptp.e23) (= @t32 tptp.e20) (= @t31 tptp.e22) (= @t30 tptp.e21))) % 0.38/0.59 (assume @p6 @t148) % 0.38/0.59 (assume @p7 true) % 0.38/0.59 (step @p8 :rule and_elim :premises (@p2) :args (9)) % 0.38/0.59 (step @p9 :rule and_elim :premises (@p4) :args (20)) % 0.38/0.59 (step @p10 :rule symm :premises (@p9)) % 0.38/0.59 (step @p11 :rule and_elim :premises (@p4) :args (24)) % 0.38/0.59 (step @p12 :rule symm :premises (@p11)) % 0.38/0.59 (step @p13 :rule and_elim :premises (@p5) :args (21)) % 0.38/0.59 (step @p14 :rule symm :premises (@p13)) % 0.38/0.59 (step @p15 :rule and_elim :premises (@p5) :args (24)) % 0.38/0.59 (step @p16 :rule symm :premises (@p15)) % 0.38/0.59 (step @p17 :rule eq-symm :args (@t56 tptp.e14)) % 0.38/0.59 (step @p18 :rule eq-symm :args (@t58 tptp.e13)) % 0.38/0.59 (step @p19 :rule eq-symm :args (@t60 tptp.e12)) % 0.38/0.59 (step @p20 :rule eq-symm :args (@t62 tptp.e11)) % 0.38/0.59 (step @p21 :rule eq-symm :args (@t64 tptp.e10)) % 0.38/0.59 (step @p22 :rule eq-symm :args (@t66 tptp.e24)) % 0.38/0.59 (step @p23 :rule eq-symm :args (@t68 tptp.e23)) % 0.38/0.59 (step @p24 :rule eq-symm :args (@t70 tptp.e22)) % 0.38/0.59 (step @p25 :rule eq-symm :args (@t72 tptp.e21)) % 0.38/0.59 (step @p26 :rule eq-symm :args (@t74 tptp.e20)) % 0.38/0.59 (step @p27 :rule refl :args (@t75)) % 0.38/0.59 (step @p28 :rule refl :args (@t76)) % 0.38/0.59 (step @p29 :rule refl :args (@t77)) % 0.38/0.59 (step @p30 :rule refl :args (@t78)) % 0.38/0.59 (step @p31 :rule refl :args (@t79)) % 0.38/0.59 (step @p32 :rule refl :args (@t80)) % 0.38/0.59 (step @p33 :rule refl :args (@t81)) % 0.38/0.59 (step @p34 :rule refl :args (@t82)) % 0.38/0.59 (step @p35 :rule refl :args (@t83)) % 0.38/0.59 (step @p36 :rule refl :args (@t84)) % 0.38/0.59 (step @p37 :rule refl :args (@t85)) % 0.38/0.59 (step @p38 :rule refl :args (@t86)) % 0.38/0.59 (step @p39 :rule refl :args (@t87)) % 0.38/0.59 (step @p40 :rule refl :args (@t88)) % 0.38/0.59 (step @p41 :rule refl :args (@t89)) % 0.38/0.59 (step @p42 :rule refl :args (@t90)) % 0.38/0.59 (step @p43 :rule refl :args (@t91)) % 0.38/0.59 (step @p44 :rule refl :args (@t92)) % 0.38/0.59 (step @p45 :rule refl :args (@t93)) % 0.38/0.59 (step @p46 :rule refl :args (@t94)) % 0.38/0.59 (step @p47 :rule refl :args (@t95)) % 0.38/0.59 (step @p48 :rule refl :args (@t96)) % 0.38/0.59 (step @p49 :rule refl :args (@t97)) % 0.38/0.59 (step @p50 :rule refl :args (@t98)) % 0.38/0.59 (step @p51 :rule refl :args (@t99)) % 0.38/0.59 (step @p52 :rule refl :args (@t101)) % 0.38/0.59 (step @p53 :rule refl :args (@t102)) % 0.38/0.59 (step @p54 :rule refl :args (@t103)) % 0.38/0.59 (step @p55 :rule refl :args (@t104)) % 0.38/0.59 (step @p56 :rule refl :args (@t106)) % 0.38/0.59 (step @p57 :rule refl :args (@t107)) % 0.38/0.59 (step @p58 :rule refl :args (@t109)) % 0.38/0.59 (step @p59 :rule refl :args (@t110)) % 0.38/0.59 (step @p60 :rule refl :args (@t111)) % 0.38/0.59 (step @p61 :rule refl :args (@t113)) % 0.38/0.59 (step @p62 :rule refl :args (@t114)) % 0.38/0.59 (step @p63 :rule refl :args (@t115)) % 0.38/0.59 (step @p64 :rule refl :args (@t117)) % 0.38/0.59 (step @p65 :rule refl :args (@t118)) % 0.38/0.59 (step @p66 :rule refl :args (@t120)) % 0.38/0.59 (step @p67 :rule refl :args (@t121)) % 0.38/0.59 (step @p68 :rule refl :args (@t122)) % 0.38/0.59 (step @p69 :rule refl :args (@t123)) % 0.38/0.59 (step @p70 :rule refl :args (@t125)) % 0.38/0.59 (step @p71 :rule refl :args (@t127)) % 0.38/0.59 (step @p72 :rule refl :args (@t128)) % 0.38/0.59 (step @p73 :rule refl :args (@t129)) % 0.38/0.59 (step @p74 :rule refl :args (@t130)) % 0.38/0.59 (step @p75 :rule refl :args (@t131)) % 0.38/0.59 (step @p76 :rule refl :args (@t133)) % 0.38/0.59 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @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) :args (@t134)) % 0.38/0.59 (step @p78 :rule cong :premises (@p77) :args (@t135)) % 0.38/0.59 (step @p79 :rule eq-symm :args (@t65 tptp.e14)) % 0.38/0.59 (step @p80 :rule eq-symm :args (@t65 tptp.e13)) % 0.38/0.59 (step @p81 :rule eq-symm :args (@t65 tptp.e12)) % 0.38/0.59 (step @p82 :rule eq-symm :args (@t65 tptp.e11)) % 0.38/0.59 (step @p83 :rule eq-symm :args (@t65 tptp.e10)) % 0.38/0.59 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81 @p80 @p79) :args (@t136)) % 0.38/0.59 (step @p85 :rule eq-symm :args (@t67 tptp.e14)) % 0.38/0.59 (step @p86 :rule eq-symm :args (@t67 tptp.e13)) % 0.38/0.59 (step @p87 :rule eq-symm :args (@t67 tptp.e12)) % 0.38/0.59 (step @p88 :rule eq-symm :args (@t67 tptp.e11)) % 0.38/0.59 (step @p89 :rule eq-symm :args (@t67 tptp.e10)) % 0.38/0.59 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87 @p86 @p85) :args (@t137)) % 0.38/0.59 (step @p91 :rule eq-symm :args (@t69 tptp.e14)) % 0.38/0.59 (step @p92 :rule eq-symm :args (@t69 tptp.e13)) % 0.38/0.59 (step @p93 :rule eq-symm :args (@t69 tptp.e12)) % 0.38/0.59 (step @p94 :rule eq-symm :args (@t69 tptp.e11)) % 0.38/0.59 (step @p95 :rule eq-symm :args (@t69 tptp.e10)) % 0.38/0.59 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93 @p92 @p91) :args (@t138)) % 0.38/0.59 (step @p97 :rule eq-symm :args (@t71 tptp.e14)) % 0.38/0.59 (step @p98 :rule eq-symm :args (@t71 tptp.e13)) % 0.38/0.59 (step @p99 :rule eq-symm :args (@t71 tptp.e12)) % 0.38/0.59 (step @p100 :rule eq-symm :args (@t71 tptp.e11)) % 0.38/0.59 (step @p101 :rule eq-symm :args (@t71 tptp.e10)) % 0.38/0.59 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98 @p97) :args (@t139)) % 0.38/0.59 (step @p103 :rule eq-symm :args (@t73 tptp.e14)) % 0.38/0.59 (step @p104 :rule eq-symm :args (@t73 tptp.e13)) % 0.38/0.59 (step @p105 :rule eq-symm :args (@t73 tptp.e12)) % 0.38/0.59 (step @p106 :rule eq-symm :args (@t73 tptp.e11)) % 0.38/0.59 (step @p107 :rule eq-symm :args (@t73 tptp.e10)) % 0.38/0.59 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104 @p103) :args (@t140)) % 0.38/0.59 (step @p109 :rule eq-symm :args (@t55 tptp.e24)) % 0.38/0.59 (step @p110 :rule eq-symm :args (@t55 tptp.e23)) % 0.38/0.59 (step @p111 :rule eq-symm :args (@t55 tptp.e22)) % 0.38/0.59 (step @p112 :rule eq-symm :args (@t55 tptp.e21)) % 0.38/0.59 (step @p113 :rule eq-symm :args (@t55 tptp.e20)) % 0.38/0.59 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p110 @p109) :args (@t141)) % 0.38/0.59 (step @p115 :rule eq-symm :args (@t57 tptp.e24)) % 0.38/0.59 (step @p116 :rule eq-symm :args (@t57 tptp.e23)) % 0.38/0.59 (step @p117 :rule eq-symm :args (@t57 tptp.e22)) % 0.38/0.59 (step @p118 :rule eq-symm :args (@t57 tptp.e21)) % 0.38/0.59 (step @p119 :rule eq-symm :args (@t57 tptp.e20)) % 0.38/0.59 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115) :args (@t142)) % 0.38/0.59 (step @p121 :rule eq-symm :args (@t59 tptp.e24)) % 0.38/0.59 (step @p122 :rule eq-symm :args (@t59 tptp.e23)) % 0.38/0.59 (step @p123 :rule eq-symm :args (@t59 tptp.e22)) % 0.38/0.59 (step @p124 :rule eq-symm :args (@t59 tptp.e21)) % 0.38/0.59 (step @p125 :rule eq-symm :args (@t59 tptp.e20)) % 0.38/0.59 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122 @p121) :args (@t143)) % 0.38/0.59 (step @p127 :rule eq-symm :args (@t61 tptp.e24)) % 0.38/0.59 (step @p128 :rule eq-symm :args (@t61 tptp.e23)) % 0.38/0.59 (step @p129 :rule eq-symm :args (@t61 tptp.e22)) % 0.38/0.59 (step @p130 :rule eq-symm :args (@t61 tptp.e21)) % 0.38/0.59 (step @p131 :rule eq-symm :args (@t61 tptp.e20)) % 0.38/0.59 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129 @p128 @p127) :args (@t144)) % 0.38/0.59 (step @p133 :rule eq-symm :args (@t63 tptp.e24)) % 0.38/0.59 (step @p134 :rule eq-symm :args (@t63 tptp.e23)) % 0.38/0.59 (step @p135 :rule eq-symm :args (@t63 tptp.e22)) % 0.38/0.59 (step @p136 :rule eq-symm :args (@t63 tptp.e21)) % 0.38/0.59 (step @p137 :rule eq-symm :args (@t63 tptp.e20)) % 0.38/0.59 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p134 @p133) :args (@t145)) % 0.38/0.59 (step @p139 :rule nary_cong :premises (@p138 @p132 @p126 @p120 @p114 @p108 @p102 @p96 @p90 @p84) :args (@t146)) % 0.38/0.59 (step @p140 :rule cong :premises (@p139 @p78) :args (@t147)) % 0.38/0.59 (step @p141 :rule cong :premises (@p140) :args (@t148)) % 0.38/0.59 (step @p142 :rule eq_resolve :premises (@p6 @p141)) % 0.38/0.59 (step @p143 :rule not_implies_elim2 :premises (@p142)) % 0.38/0.59 (step @p144 :rule not_not_elim :premises (@p143)) % 0.38/0.59 (step @p145 :rule and_elim :premises (@p144) :args (20)) % 0.38/0.59 (step @p146 :rule and_elim :premises (@p144) :args (24)) % 0.38/0.59 (step @p147 :rule and_elim :premises (@p144) :args (54)) % 0.38/0.59 (step @p148 :rule and_elim :premises (@p144) :args (18)) % 0.38/0.59 (step @p149 :rule and_elim :premises (@p144) :args (15)) % 0.38/0.59 (step @p150 :rule and_elim :premises (@p4) :args (18)) % 0.38/0.59 (step @p151 :rule symm :premises (@p150)) % 0.38/0.59 (step @p152 :rule and_elim :premises (@p4) :args (15)) % 0.38/0.59 (step @p153 :rule symm :premises (@p152)) % 0.38/0.59 (step @p154 :rule refl :args (@t150)) % 0.38/0.59 (step @p155 :rule refl :args (@t152)) % 0.38/0.59 (step @p156 :rule refl :args (@t154)) % 0.38/0.59 (step @p157 :rule refl :args (@t156)) % 0.38/0.59 (step @p158 :rule refl :args (@t158)) % 0.38/0.59 (step @p159 :rule refl :args (@t160)) % 0.38/0.59 (step @p160 :rule refl :args (@t161)) % 0.38/0.59 (step @p161 :rule refl :args (@t162)) % 0.38/0.59 (step @p162 :rule bool-double-not-elim :args (@t1)) % 0.38/0.59 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154) :args ((or @t163 @t162 @t161 @t160 @t158 @t156 @t154 @t152 @t150))) % 0.38/0.59 (assume-push @p585 @t164) % 0.38/0.59 (assume-push @p586 @t165) % 0.38/0.59 (assume-push @p587 @t2) % 0.38/0.59 (step @p167 :rule evaluate :args (@t166)) % 0.38/0.59 (step @p168 :rule symm :premises (@p585)) % 0.38/0.59 (step @p169 :rule trans :premises (@p586 @p168)) % 0.38/0.59 (step @p170 :rule true_intro :premises (@p169)) % 0.38/0.59 (step @p171 :rule false_intro :premises (@p8)) % 0.38/0.59 (step @p172 :rule symm :premises (@p171)) % 0.38/0.59 (step @p173 :rule trans :premises (@p172 @p170)) % 0.38/0.59 (step @p174 false :rule eq_resolve :premises (@p173 @p167)) % 0.38/0.59 (step-pop @p588 :rule scope :premises (@p174)) % 0.38/0.59 (step-pop @p589 :rule scope :premises (@p588)) % 0.38/0.59 (step-pop @p590 :rule scope :premises (@p589)) % 0.38/0.59 (step @p175 :rule process_scope :premises (@p590) :args (false)) % 0.38/0.59 (assume-push @p591 @t2) % 0.38/0.59 (assume-push @p592 @t113) % 0.38/0.59 (assume-push @p593 @t109) % 0.38/0.59 (assume-push @p594 @t159) % 0.38/0.59 (assume-push @p595 @t157) % 0.38/0.59 (assume-push @p596 @t155) % 0.38/0.59 (assume-push @p597 @t153) % 0.38/0.59 (assume-push @p598 @t151) % 0.38/0.59 (assume-push @p599 @t149) % 0.38/0.59 (assume-push @p600 @t157) % 0.38/0.59 (assume-push @p601 @t113) % 0.38/0.59 (assume-push @p602 @t151) % 0.38/0.59 (assume-push @p603 @t149) % 0.38/0.59 (assume-push @p604 @t159) % 0.38/0.59 (assume-push @p605 @t109) % 0.38/0.59 (assume-push @p606 @t155) % 0.38/0.59 (assume-push @p607 @t153) % 0.38/0.59 (step @p196 :rule cong :premises (@p152) :args (@t112)) % 0.38/0.59 (step @p197 :rule symm :premises (@p149)) % 0.38/0.59 (step @p198 :rule cong :premises (@p150) :args (@t108)) % 0.38/0.59 (step @p199 :rule symm :premises (@p148)) % 0.38/0.59 (step @p200 :rule symm :premises (@p598)) % 0.38/0.59 (step @p201 :rule cong :premises (@p200) :args (@t66)) % 0.38/0.59 (step @p202 :rule trans :premises (@p147 @p201)) % 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@t149))) % 0.38/0.59 (step @p425 :rule and_elim :premises (@p144) :args (0)) % 0.38/0.59 (step @p426 :rule and_elim :premises (@p4) :args (0)) % 0.38/0.59 (step @p427 :rule symm :premises (@p426)) % 0.38/0.59 (step @p428 :rule and_elim :premises (@p2) :args (6)) % 0.38/0.59 (step @p429 :rule refl :args (@t192)) % 0.38/0.59 (step @p430 :rule refl :args (@t194)) % 0.38/0.59 (step @p431 :rule refl :args (@t195)) % 0.38/0.59 (step @p432 :rule bool-double-not-elim :args (@t3)) % 0.38/0.59 (step @p433 :rule nary_cong :premises (@p432 @p431 @p430 @p157 @p429 @p154) :args ((or (not @t4) @t195 @t194 @t156 @t192 @t150))) % 0.38/0.59 (assume-push @p717 @t196) % 0.38/0.59 (assume-push @p718 @t197) % 0.38/0.59 (assume-push @p719 @t4) % 0.38/0.59 (step @p167 :rule evaluate :args (@t166)) % 0.38/0.59 (step @p437 :rule symm :premises (@p717)) % 0.38/0.59 (step @p438 :rule trans :premises (@p718 @p437)) % 0.38/0.59 (step @p439 :rule true_intro :premises (@p438)) % 0.38/0.59 (step @p440 :rule 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(@p425)) % 0.38/0.59 (step @p461 :rule symm :premises (@p727)) % 0.38/0.59 (step @p462 :rule cong :premises (@p461) :args (@t66)) % 0.38/0.59 (step @p463 :rule trans :premises (@p147 @p462)) % 0.38/0.59 (step @p464 :rule cong :premises (@p463 @p463) :args (@t30)) % 0.38/0.59 (step @p465 :rule trans :premises (@p16 @p464 @p460 @p459)) % 0.38/0.59 (step-pop @p734 :rule scope :premises (@p465)) % 0.38/0.59 (step-pop @p735 :rule scope :premises (@p734)) % 0.38/0.59 (step-pop @p736 :rule scope :premises (@p735)) % 0.38/0.59 (step-pop @p737 :rule scope :premises (@p736)) % 0.38/0.59 (step-pop @p738 :rule scope :premises (@p737)) % 0.38/0.59 (step @p466 :rule process_scope :premises (@p738) :args (@t197)) % 0.38/0.59 (step @p472 :rule and_intro :premises (@p427 @p425 @p727 @p147 @p16)) % 0.38/0.59 (step @p473 :rule modus_ponens :premises (@p472 @p466)) % 0.38/0.59 (assume-push @p739 @t191) % 0.38/0.59 (assume-push @p740 @t149) % 0.38/0.59 (step @p476 :rule symm :premises (@p727)) % 0.38/0.59 (step @p477 :rule cong :premises (@p476) :args (@t66)) % 0.38/0.59 (step @p478 :rule trans :premises (@p147 @p477)) % 0.38/0.59 (step-pop @p741 :rule scope :premises (@p478)) % 0.38/0.59 (step-pop @p742 :rule scope :premises (@p741)) % 0.38/0.59 (step @p479 :rule process_scope :premises (@p742) :args (@t196)) % 0.38/0.59 (step @p482 :rule and_intro :premises (@p727 @p147)) % 0.38/0.59 (step @p483 :rule modus_ponens :premises (@p482 @p479)) % 0.38/0.59 (step @p484 :rule and_intro :premises (@p483 @p473 @p428)) % 0.38/0.59 (step-pop @p743 :rule scope :premises (@p484)) % 0.38/0.59 (step-pop @p744 :rule scope :premises (@p743)) % 0.38/0.59 (step-pop @p745 :rule scope :premises (@p744)) % 0.38/0.59 (step-pop @p746 :rule scope :premises (@p745)) % 0.38/0.59 (step-pop @p747 :rule scope :premises (@p746)) % 0.38/0.59 (step-pop @p748 :rule scope :premises (@p747)) % 0.38/0.59 (step @p485 :rule process_scope :premises (@p748) :args (@t198)) % 0.38/0.59 (step @p492 :rule implies_elim :premises (@p485)) % 0.38/0.59 (step @p493 :rule resolution :premises (@p492 @p444) :args (true @t198)) % 0.38/0.59 (step @p494 :rule not_and :premises (@p493)) % 0.38/0.59 (step @p495 :rule eq_resolve :premises (@p494 @p433)) % 0.38/0.59 (step @p496 :rule reordering :premises (@p495) :args ((or @t3 @t194 @t156 @t192 @t195 @t150))) % 0.38/0.59 (step @p497 :rule chain_m_resolution :premises (@p496 @p428 @p427 @p16 @p425 @p147) :args (@t192 (@list true false false false false) (@list @t3 @t193 @t155 @t133 @t149))) % 0.38/0.59 (step @p498 :rule not_implies_elim1 :premises (@p142)) % 0.38/0.59 (step @p499 :rule and_elim :premises (@p498) :args (9)) % 0.38/0.59 (step @p500 :rule chain_m_resolution :premises (@p499 @p497 @p424 @p334 @p244) :args (@t199 (@list true true true true) (@list @t191 @t180 @t169 @t151))) % 0.38/0.59 (step @p501 :rule refl :args (@t200)) % 0.38/0.59 (step @p502 :rule refl :args (@t202)) % 0.38/0.59 (step @p503 :rule refl :args (@t204)) % 0.38/0.59 (step @p504 :rule refl :args (@t205)) % 0.38/0.59 (step @p505 :rule refl :args (@t206)) % 0.38/0.59 (step @p506 :rule nary_cong :premises (@p162 @p505 @p504 @p503 @p502 @p157 @p156 @p501 @p154) :args ((or @t163 @t206 @t205 @t204 @t202 @t156 @t154 @t200 @t150))) % 0.38/0.59 (assume-push @p749 @t207) % 0.38/0.59 (assume-push @p750 @t208) % 0.38/0.59 (assume-push @p751 @t2) % 0.38/0.59 (step @p167 :rule evaluate :args (@t166)) % 0.38/0.59 (step @p510 :rule symm :premises (@p749)) % 0.38/0.59 (step @p511 :rule trans :premises (@p750 @p510)) % 0.38/0.59 (step @p512 :rule true_intro :premises (@p511)) % 0.38/0.59 (step @p171 :rule false_intro :premises (@p8)) % 0.38/0.59 (step @p172 :rule symm :premises (@p171)) % 0.38/0.59 (step @p513 :rule trans :premises (@p172 @p512)) % 0.38/0.59 (step @p514 false :rule eq_resolve :premises (@p513 @p167)) % 0.38/0.59 (step-pop @p752 :rule scope :premises (@p514)) % 0.38/0.59 (step-pop @p753 :rule scope :premises (@p752)) % 0.38/0.59 (step-pop @p754 :rule scope :premises (@p753)) % 0.38/0.59 (step @p515 :rule process_scope :premises (@p754) :args (false)) % 0.38/0.59 (assume-push @p755 @t2) % 0.38/0.59 (assume-push @p756 @t106) % 0.38/0.59 (assume-push @p757 @t101) % 0.38/0.59 (assume-push @p758 @t203) % 0.38/0.59 (assume-push @p759 @t201) % 0.38/0.59 (assume-push @p760 @t155) % 0.38/0.59 (assume-push @p761 @t153) % 0.38/0.59 (assume-push @p762 @t199) % 0.38/0.59 (assume-push @p763 @t149) % 0.38/0.59 (assume-push @p764 @t201) % 0.38/0.59 (assume-push @p765 @t106) % 0.38/0.59 (assume-push @p766 @t199) % 0.38/0.59 (assume-push @p767 @t149) % 0.38/0.59 (assume-push @p768 @t203) % 0.38/0.59 (assume-push @p769 @t101) % 0.38/0.59 (assume-push @p770 @t155) % 0.38/0.59 (assume-push @p771 @t153) % 0.38/0.59 (step @p536 :rule cong :premises (@p9) :args (@t105)) % 0.38/0.59 (step @p537 :rule symm :premises (@p145)) % 0.38/0.59 (step @p538 :rule cong :premises (@p11) :args (@t100)) % 0.38/0.59 (step @p539 :rule symm :premises (@p146)) % 0.38/0.59 (step @p540 :rule symm :premises (@p762)) % 0.38/0.59 (step @p541 :rule cong :premises (@p540) :args (@t66)) % 0.38/0.59 (step @p542 :rule trans :premises (@p147 @p541)) % 0.38/0.59 (step @p543 :rule cong :premises (@p542 @p542) :args (@t30)) % 0.38/0.59 (step @p544 :rule trans :premises (@p16 @p543 @p539 @p538)) % 0.38/0.59 (step @p545 :rule cong :premises (@p542 @p544) :args (@t33)) % 0.38/0.59 (step @p546 :rule trans :premises (@p14 @p545 @p537 @p536)) % 0.38/0.59 (step-pop @p772 :rule scope :premises (@p546)) % 0.38/0.59 (step-pop @p773 :rule scope :premises (@p772)) % 0.38/0.59 (step-pop @p774 :rule scope :premises (@p773)) % 0.38/0.59 (step-pop @p775 :rule scope :premises (@p774)) % 0.38/0.59 (step-pop @p776 :rule scope :premises (@p775)) % 0.38/0.59 (step-pop @p777 :rule scope :premises (@p776)) % 0.38/0.59 (step-pop @p778 :rule scope :premises (@p777)) % 0.38/0.59 (step-pop @p779 :rule scope :premises (@p778)) % 0.38/0.59 (step @p547 :rule process_scope :premises (@p779) :args (@t208)) % 0.38/0.59 (step @p556 :rule and_intro :premises (@p10 @p145 @p762 @p147 @p12 @p146 @p16 @p14)) % 0.38/0.59 (step @p557 :rule modus_ponens :premises (@p556 @p547)) % 0.38/0.59 (assume-push @p780 @t199) % 0.38/0.59 (assume-push @p781 @t149) % 0.38/0.59 (step @p560 :rule symm :premises (@p762)) % 0.38/0.59 (step @p561 :rule cong :premises (@p560) :args (@t66)) % 0.38/0.59 (step @p562 :rule trans :premises (@p147 @p561)) % 0.38/0.59 (step-pop @p782 :rule scope :premises (@p562)) % 0.38/0.59 (step-pop @p783 :rule scope :premises (@p782)) % 0.38/0.59 (step @p563 :rule process_scope :premises (@p783) :args (@t207)) % 0.38/0.59 (step @p566 :rule and_intro :premises (@p762 @p147)) % 0.38/0.59 (step @p567 :rule modus_ponens :premises (@p566 @p563)) % 0.38/0.59 (step @p568 :rule and_intro :premises (@p567 @p557 @p8)) % 0.38/0.59 (step-pop @p784 :rule scope :premises (@p568)) % 0.38/0.59 (step-pop @p785 :rule scope :premises (@p784)) % 0.38/0.59 (step-pop @p786 :rule scope :premises (@p785)) % 0.38/0.59 (step-pop @p787 :rule scope :premises (@p786)) % 0.38/0.59 (step-pop @p788 :rule scope :premises (@p787)) % 0.38/0.59 (step-pop @p789 :rule scope :premises (@p788)) % 0.38/0.59 (step-pop @p790 :rule scope :premises (@p789)) % 0.38/0.59 (step-pop @p791 :rule scope :premises (@p790)) % 0.38/0.59 (step-pop @p792 :rule scope :premises (@p791)) % 0.38/0.59 (step @p569 :rule process_scope :premises (@p792) :args (@t209)) % 0.38/0.59 (step @p579 :rule implies_elim :premises (@p569)) % 0.38/0.59 (step @p580 :rule resolution :premises (@p579 @p515) :args (true @t209)) % 0.38/0.59 (step @p581 :rule not_and :premises (@p580)) % 0.38/0.59 (step @p582 :rule eq_resolve :premises (@p581 @p506)) % 0.38/0.59 (step @p583 :rule reordering :premises (@p582) :args ((or @t1 @t202 @t204 @t154 @t156 @t200 @t206 @t205 @t150))) % 0.38/0.59 (step @p584 false :rule chain_m_resolution :premises (@p583 @p500 @p147 @p146 @p145 @p16 @p14 @p12 @p10 @p8) :args (false (@list false false false false false false false false true) (@list @t199 @t149 @t101 @t106 @t155 @t153 @t203 @t201 @t1))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------