%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG180+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 : n003.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 08:05:26 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG180+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 : n003.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 01:40:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.e13 $$unsorted) % 0.38/0.61 (declare-const tptp.e12 $$unsorted) % 0.38/0.61 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.e11 $$unsorted) % 0.38/0.61 (declare-const tptp.e10 $$unsorted) % 0.38/0.61 (declare-const tptp.e24 $$unsorted) % 0.38/0.61 (declare-const tptp.e23 $$unsorted) % 0.38/0.61 (declare-const tptp.e22 $$unsorted) % 0.38/0.61 (declare-const tptp.e21 $$unsorted) % 0.38/0.61 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.e14 $$unsorted) % 0.38/0.61 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.e20 $$unsorted) % 0.38/0.61 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.38/0.61 (define @t1 () (= tptp.e13 tptp.e14)) % 0.38/0.61 (define @t2 () (not @t1)) % 0.38/0.61 (define @t3 () (= tptp.e11 tptp.e13)) % 0.38/0.61 (define @t4 () (not @t3)) % 0.38/0.61 (define @t5 () (= tptp.e10 tptp.e14)) % 0.38/0.61 (define @t6 () (not @t5)) % 0.38/0.61 (define @t7 () (= tptp.e20 tptp.e24)) % 0.38/0.61 (define @t8 () (not @t7)) % 0.38/0.61 (define @t9 () (tptp.op1 tptp.e14 tptp.e14)) % 0.38/0.61 (define @t10 () (tptp.op1 tptp.e14 tptp.e13)) % 0.38/0.61 (define @t11 () (tptp.op1 tptp.e14 tptp.e12)) % 0.38/0.61 (define @t12 () (tptp.op1 tptp.e14 tptp.e11)) % 0.38/0.61 (define @t13 () (tptp.op1 tptp.e14 tptp.e10)) % 0.38/0.61 (define @t14 () (tptp.op1 tptp.e13 tptp.e14)) % 0.38/0.61 (define @t15 () (tptp.op1 tptp.e13 tptp.e13)) % 0.38/0.61 (define @t16 () (tptp.op1 tptp.e13 tptp.e12)) % 0.38/0.61 (define @t17 () (tptp.op1 tptp.e13 tptp.e11)) % 0.38/0.61 (define @t18 () (tptp.op1 tptp.e13 tptp.e10)) % 0.38/0.61 (define @t19 () (tptp.op1 tptp.e12 tptp.e14)) % 0.38/0.61 (define @t20 () (tptp.op1 tptp.e12 tptp.e13)) % 0.38/0.61 (define @t21 () (tptp.op1 tptp.e12 tptp.e12)) % 0.38/0.61 (define @t22 () (tptp.op1 tptp.e12 tptp.e11)) % 0.38/0.61 (define @t23 () (tptp.op1 tptp.e12 tptp.e10)) % 0.38/0.61 (define @t24 () (tptp.op1 tptp.e11 tptp.e14)) % 0.38/0.61 (define @t25 () (tptp.op1 tptp.e11 tptp.e13)) % 0.38/0.61 (define @t26 () (tptp.op1 tptp.e11 tptp.e12)) % 0.38/0.61 (define @t27 () (tptp.op1 tptp.e11 tptp.e11)) % 0.38/0.61 (define @t28 () (tptp.op1 tptp.e11 tptp.e10)) % 0.38/0.61 (define @t29 () (tptp.op1 tptp.e10 tptp.e14)) % 0.38/0.61 (define @t30 () (tptp.op1 tptp.e10 tptp.e13)) % 0.38/0.61 (define @t31 () (tptp.op1 tptp.e10 tptp.e12)) % 0.38/0.61 (define @t32 () (tptp.op1 tptp.e10 tptp.e11)) % 0.38/0.61 (define @t33 () (tptp.op1 tptp.e10 tptp.e10)) % 0.38/0.61 (define @t34 () (tptp.op2 tptp.e24 tptp.e24)) % 0.38/0.61 (define @t35 () (tptp.op2 tptp.e24 tptp.e23)) % 0.38/0.61 (define @t36 () (tptp.op2 tptp.e24 tptp.e22)) % 0.38/0.61 (define @t37 () (tptp.op2 tptp.e24 tptp.e21)) % 0.38/0.61 (define @t38 () (tptp.op2 tptp.e24 tptp.e20)) % 0.38/0.61 (define @t39 () (tptp.op2 tptp.e23 tptp.e24)) % 0.38/0.61 (define @t40 () (tptp.op2 tptp.e23 tptp.e23)) % 0.38/0.61 (define @t41 () (tptp.op2 tptp.e23 tptp.e22)) % 0.38/0.61 (define @t42 () (tptp.op2 tptp.e23 tptp.e21)) % 0.38/0.61 (define @t43 () (tptp.op2 tptp.e23 tptp.e20)) % 0.38/0.61 (define @t44 () (tptp.op2 tptp.e22 tptp.e24)) % 0.38/0.61 (define @t45 () (tptp.op2 tptp.e22 tptp.e23)) % 0.38/0.61 (define @t46 () (tptp.op2 tptp.e22 tptp.e22)) % 0.38/0.61 (define @t47 () (tptp.op2 tptp.e22 tptp.e21)) % 0.38/0.61 (define @t48 () (tptp.op2 tptp.e22 tptp.e20)) % 0.38/0.61 (define @t49 () (tptp.op2 tptp.e21 tptp.e24)) % 0.38/0.61 (define @t50 () (tptp.op2 tptp.e21 tptp.e23)) % 0.38/0.61 (define @t51 () (tptp.op2 tptp.e21 tptp.e22)) % 0.38/0.61 (define @t52 () (tptp.op2 tptp.e21 tptp.e21)) % 0.38/0.61 (define @t53 () (tptp.op2 tptp.e21 tptp.e20)) % 0.38/0.61 (define @t54 () (tptp.op2 tptp.e20 tptp.e24)) % 0.38/0.61 (define @t55 () (tptp.op2 tptp.e20 tptp.e23)) % 0.38/0.61 (define @t56 () (tptp.op2 tptp.e20 tptp.e22)) % 0.38/0.61 (define @t57 () (tptp.op2 tptp.e20 tptp.e21)) % 0.38/0.61 (define @t58 () (tptp.op2 tptp.e20 tptp.e20)) % 0.38/0.61 (define @t59 () (tptp.h tptp.e14)) % 0.38/0.61 (define @t60 () (tptp.j @t59)) % 0.38/0.61 (define @t61 () (tptp.h tptp.e13)) % 0.38/0.61 (define @t62 () (tptp.j @t61)) % 0.38/0.61 (define @t63 () (tptp.h tptp.e12)) % 0.38/0.61 (define @t64 () (tptp.j @t63)) % 0.38/0.61 (define @t65 () (tptp.h tptp.e11)) % 0.38/0.61 (define @t66 () (tptp.j @t65)) % 0.38/0.61 (define @t67 () (tptp.h tptp.e10)) % 0.38/0.61 (define @t68 () (tptp.j @t67)) % 0.38/0.61 (define @t69 () (tptp.j tptp.e24)) % 0.38/0.61 (define @t70 () (tptp.h @t69)) % 0.38/0.61 (define @t71 () (tptp.j tptp.e23)) % 0.38/0.61 (define @t72 () (tptp.h @t71)) % 0.38/0.61 (define @t73 () (tptp.j tptp.e22)) % 0.38/0.61 (define @t74 () (tptp.h @t73)) % 0.38/0.61 (define @t75 () (tptp.j tptp.e21)) % 0.38/0.61 (define @t76 () (tptp.h @t75)) % 0.38/0.61 (define @t77 () (tptp.j tptp.e20)) % 0.38/0.61 (define @t78 () (tptp.h @t77)) % 0.38/0.61 (define @t79 () (tptp.j @t34)) % 0.38/0.61 (define @t80 () (= @t79 (tptp.op1 @t69 @t69))) % 0.38/0.61 (define @t81 () (= (tptp.j @t35) (tptp.op1 @t69 @t71))) % 0.38/0.61 (define @t82 () (= (tptp.j @t36) (tptp.op1 @t69 @t73))) % 0.38/0.61 (define @t83 () (= (tptp.j @t37) (tptp.op1 @t69 @t75))) % 0.38/0.61 (define @t84 () (tptp.j @t38)) % 0.38/0.61 (define @t85 () (= @t84 (tptp.op1 @t69 @t77))) % 0.38/0.61 (define @t86 () (= (tptp.j @t39) (tptp.op1 @t71 @t69))) % 0.38/0.61 (define @t87 () (= (tptp.j @t40) (tptp.op1 @t71 @t71))) % 0.38/0.61 (define @t88 () (= (tptp.j @t41) (tptp.op1 @t71 @t73))) % 0.38/0.61 (define @t89 () (= (tptp.j @t42) (tptp.op1 @t71 @t75))) % 0.38/0.61 (define @t90 () (= (tptp.j @t43) (tptp.op1 @t71 @t77))) % 0.38/0.61 (define @t91 () (= (tptp.j @t44) (tptp.op1 @t73 @t69))) % 0.38/0.61 (define @t92 () (= (tptp.j @t45) (tptp.op1 @t73 @t71))) % 0.38/0.61 (define @t93 () (= (tptp.j @t46) (tptp.op1 @t73 @t73))) % 0.38/0.61 (define @t94 () (= (tptp.j @t47) (tptp.op1 @t73 @t75))) % 0.38/0.61 (define @t95 () (= (tptp.j @t48) (tptp.op1 @t73 @t77))) % 0.38/0.61 (define @t96 () (= (tptp.j @t49) (tptp.op1 @t75 @t69))) % 0.38/0.61 (define @t97 () (= (tptp.j @t50) (tptp.op1 @t75 @t71))) % 0.38/0.61 (define @t98 () (= (tptp.j @t51) (tptp.op1 @t75 @t73))) % 0.38/0.61 (define @t99 () (= (tptp.j @t52) (tptp.op1 @t75 @t75))) % 0.38/0.61 (define @t100 () (= (tptp.j @t53) (tptp.op1 @t75 @t77))) % 0.38/0.61 (define @t101 () (= (tptp.j @t54) (tptp.op1 @t77 @t69))) % 0.38/0.61 (define @t102 () (= (tptp.j @t55) (tptp.op1 @t77 @t71))) % 0.38/0.61 (define @t103 () (tptp.op1 @t77 @t73)) % 0.38/0.61 (define @t104 () (tptp.j @t56)) % 0.38/0.61 (define @t105 () (= @t104 @t103)) % 0.38/0.61 (define @t106 () (= (tptp.j @t57) (tptp.op1 @t77 @t75))) % 0.38/0.61 (define @t107 () (= (tptp.j @t58) (tptp.op1 @t77 @t77))) % 0.38/0.61 (define @t108 () (= (tptp.h @t9) (tptp.op2 @t59 @t59))) % 0.38/0.61 (define @t109 () (= (tptp.h @t10) (tptp.op2 @t59 @t61))) % 0.38/0.61 (define @t110 () (= (tptp.h @t11) (tptp.op2 @t59 @t63))) % 0.38/0.61 (define @t111 () (= (tptp.h @t12) (tptp.op2 @t59 @t65))) % 0.38/0.61 (define @t112 () (= (tptp.h @t13) (tptp.op2 @t59 @t67))) % 0.38/0.61 (define @t113 () (= (tptp.h @t14) (tptp.op2 @t61 @t59))) % 0.38/0.61 (define @t114 () (= (tptp.h @t15) (tptp.op2 @t61 @t61))) % 0.38/0.61 (define @t115 () (= (tptp.h @t16) (tptp.op2 @t61 @t63))) % 0.38/0.61 (define @t116 () (= (tptp.h @t17) (tptp.op2 @t61 @t65))) % 0.38/0.61 (define @t117 () (= (tptp.h @t18) (tptp.op2 @t61 @t67))) % 0.38/0.61 (define @t118 () (= (tptp.h @t19) (tptp.op2 @t63 @t59))) % 0.38/0.61 (define @t119 () (= (tptp.h @t20) (tptp.op2 @t63 @t61))) % 0.38/0.61 (define @t120 () (tptp.h @t21)) % 0.38/0.61 (define @t121 () (= @t120 (tptp.op2 @t63 @t63))) % 0.38/0.61 (define @t122 () (= (tptp.h @t22) (tptp.op2 @t63 @t65))) % 0.38/0.61 (define @t123 () (= (tptp.h @t23) (tptp.op2 @t63 @t67))) % 0.38/0.61 (define @t124 () (= (tptp.h @t24) (tptp.op2 @t65 @t59))) % 0.38/0.61 (define @t125 () (= (tptp.h @t25) (tptp.op2 @t65 @t61))) % 0.38/0.61 (define @t126 () (= (tptp.h @t26) (tptp.op2 @t65 @t63))) % 0.38/0.61 (define @t127 () (= (tptp.h @t27) (tptp.op2 @t65 @t65))) % 0.38/0.61 (define @t128 () (= (tptp.h @t28) (tptp.op2 @t65 @t67))) % 0.38/0.61 (define @t129 () (= (tptp.h @t29) (tptp.op2 @t67 @t59))) % 0.38/0.61 (define @t130 () (= (tptp.h @t30) (tptp.op2 @t67 @t61))) % 0.38/0.61 (define @t131 () (= (tptp.h @t31) (tptp.op2 @t67 @t63))) % 0.38/0.61 (define @t132 () (= (tptp.h @t32) (tptp.op2 @t67 @t65))) % 0.38/0.61 (define @t133 () (= (tptp.h @t33) (tptp.op2 @t67 @t67))) % 0.38/0.61 (define @t134 () (and @t133 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t106 @t105 @t102 @t101 @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t83 @t82 @t81 @t80 (= @t78 tptp.e20) (= @t76 tptp.e21) (= @t74 tptp.e22) (= @t72 tptp.e23) (= @t70 tptp.e24) (= @t68 tptp.e10) (= @t66 tptp.e11) (= @t64 tptp.e12) (= @t62 tptp.e13) (= @t60 tptp.e14))) % 0.38/0.61 (define @t135 () (not @t134)) % 0.38/0.61 (define @t136 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14))) % 0.38/0.61 (define @t137 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14))) % 0.38/0.61 (define @t138 () (or (= @t73 tptp.e10) (= @t73 tptp.e11) (= @t73 tptp.e12) (= @t73 tptp.e13) (= @t73 tptp.e14))) % 0.38/0.61 (define @t139 () (or (= @t75 tptp.e10) (= @t75 tptp.e11) (= @t75 tptp.e12) (= @t75 tptp.e13) (= @t75 tptp.e14))) % 0.38/0.61 (define @t140 () (or (= @t77 tptp.e10) (= @t77 tptp.e11) (= @t77 tptp.e12) (= @t77 tptp.e13) (= @t77 tptp.e14))) % 0.38/0.61 (define @t141 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24))) % 0.38/0.61 (define @t142 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24))) % 0.38/0.61 (define @t143 () (or (= @t63 tptp.e20) (= @t63 tptp.e21) (= @t63 tptp.e22) (= @t63 tptp.e23) (= @t63 tptp.e24))) % 0.38/0.61 (define @t144 () (or (= @t65 tptp.e20) (= @t65 tptp.e21) (= @t65 tptp.e22) (= @t65 tptp.e23) (= @t65 tptp.e24))) % 0.38/0.61 (define @t145 () (or (= @t67 tptp.e20) (= @t67 tptp.e21) (= @t67 tptp.e22) (= @t67 tptp.e23) (= @t67 tptp.e24))) % 0.38/0.61 (define @t146 () (and @t145 @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136)) % 0.38/0.61 (define @t147 () (=> @t146 @t135)) % 0.38/0.61 (define @t148 () (not @t147)) % 0.38/0.61 (define @t149 () (= tptp.e14 @t69)) % 0.38/0.61 (define @t150 () (not @t149)) % 0.38/0.61 (define @t151 () (= tptp.e20 @t56)) % 0.38/0.61 (define @t152 () (not @t151)) % 0.38/0.61 (define @t153 () (= tptp.e22 @t38)) % 0.38/0.61 (define @t154 () (not @t153)) % 0.38/0.61 (define @t155 () (= tptp.e20 @t34)) % 0.38/0.61 (define @t156 () (not @t155)) % 0.38/0.61 (define @t157 () (= tptp.e10 @t28)) % 0.38/0.61 (define @t158 () (not @t157)) % 0.38/0.61 (define @t159 () (= tptp.e10 @t12)) % 0.38/0.61 (define @t160 () (not @t159)) % 0.38/0.61 (define @t161 () (= tptp.e11 @t9)) % 0.38/0.61 (define @t162 () (not @t161)) % 0.38/0.61 (define @t163 () (= tptp.e11 tptp.e10)) % 0.38/0.61 (define @t164 () (not @t80)) % 0.38/0.61 (define @t165 () (not @t85)) % 0.38/0.61 (define @t166 () (not @t105)) % 0.38/0.61 (define @t167 () (not @t163)) % 0.38/0.61 (define @t168 () (= tptp.e10 @t77)) % 0.38/0.61 (define @t169 () (= tptp.e11 @t77)) % 0.38/0.61 (define @t170 () (= false true)) % 0.38/0.61 (define @t171 () (and @t168 @t167 @t169)) % 0.38/0.61 (define @t172 () (@list true false false false false false false false false false)) % 0.38/0.61 (define @t173 () (= tptp.e24 @t70)) % 0.38/0.61 (define @t174 () (not @t173)) % 0.38/0.61 (define @t175 () (= tptp.e12 @t69)) % 0.38/0.61 (define @t176 () (not @t175)) % 0.38/0.61 (define @t177 () (= tptp.e12 @t21)) % 0.38/0.61 (define @t178 () (not @t177)) % 0.38/0.61 (define @t179 () (not @t121)) % 0.38/0.61 (define @t180 () (= tptp.e24 @t63)) % 0.38/0.61 (define @t181 () (= tptp.e20 @t63)) % 0.38/0.61 (define @t182 () (and @t180 @t181 @t8)) % 0.38/0.61 (define @t183 () (= tptp.e11 @t69)) % 0.38/0.61 (define @t184 () (not @t183)) % 0.38/0.61 (define @t185 () (= tptp.e14 @t27)) % 0.38/0.61 (define @t186 () (not @t185)) % 0.38/0.61 (define @t187 () (= tptp.e13 @t24)) % 0.38/0.61 (define @t188 () (not @t187)) % 0.38/0.61 (define @t189 () (= tptp.e13 @t10)) % 0.38/0.61 (define @t190 () (not @t189)) % 0.38/0.61 (define @t191 () (= tptp.e14 @t73)) % 0.38/0.61 (define @t192 () (= tptp.e13 @t73)) % 0.38/0.61 (define @t193 () (and @t191 @t192 @t2)) % 0.38/0.61 (define @t194 () (= tptp.e10 @t69)) % 0.38/0.61 (define @t195 () (not @t194)) % 0.38/0.61 (define @t196 () (= tptp.e13 @t33)) % 0.38/0.61 (define @t197 () (not @t196)) % 0.38/0.61 (define @t198 () (= tptp.e11 @t30)) % 0.38/0.61 (define @t199 () (not @t198)) % 0.38/0.61 (define @t200 () (= tptp.e11 @t17)) % 0.38/0.61 (define @t201 () (not @t200)) % 0.38/0.61 (define @t202 () (= tptp.e11 @t73)) % 0.38/0.61 (define @t203 () (and @t192 @t202 @t4)) % 0.38/0.61 (define @t204 () (= tptp.e13 @t69)) % 0.38/0.61 (define @t205 () (not @t204)) % 0.38/0.61 (define @t206 () (= tptp.e14 @t29)) % 0.38/0.61 (define @t207 () (not @t206)) % 0.38/0.61 (define @t208 () (= tptp.e14 @t18)) % 0.38/0.61 (define @t209 () (not @t208)) % 0.38/0.61 (define @t210 () (= tptp.e10 @t15)) % 0.38/0.61 (define @t211 () (not @t210)) % 0.38/0.61 (define @t212 () (= tptp.e14 @t77)) % 0.38/0.61 (define @t213 () (and @t212 @t168 @t6)) % 0.38/0.61 (assume @p1 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) (not (= tptp.e10 tptp.e13)) @t6 (not (= tptp.e11 tptp.e12)) @t4 (not (= tptp.e11 tptp.e14)) (not (= tptp.e12 tptp.e13)) (not (= tptp.e12 tptp.e14)) @t2)) % 0.38/0.61 (assume @p2 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) (not (= tptp.e20 tptp.e23)) @t8 (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)) (not (= tptp.e23 tptp.e24)))) % 0.38/0.61 (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)))) % 0.38/0.61 (assume @p4 (and (= @t33 tptp.e13) (= @t32 tptp.e12) (= @t31 tptp.e10) (= @t30 tptp.e11) (= @t29 tptp.e14) (= @t28 tptp.e10) (= @t27 tptp.e14) (= @t26 tptp.e11) (= @t25 tptp.e12) (= @t24 tptp.e13) (= @t23 tptp.e11) (= @t22 tptp.e13) (= @t21 tptp.e12) (= @t20 tptp.e14) (= @t19 tptp.e10) (= @t18 tptp.e14) (= @t17 tptp.e11) (= @t16 tptp.e13) (= @t15 tptp.e10) (= @t14 tptp.e12) (= @t13 tptp.e12) (= @t12 tptp.e10) (= @t11 tptp.e14) (= @t10 tptp.e13) (= @t9 tptp.e11))) % 0.38/0.61 (assume @p5 (and (= @t58 tptp.e24) (= @t57 tptp.e22) (= @t56 tptp.e20) (= @t55 tptp.e21) (= @t54 tptp.e23) (= @t53 tptp.e20) (= @t52 tptp.e21) (= @t51 tptp.e22) (= @t50 tptp.e23) (= @t49 tptp.e24) (= @t48 tptp.e21) (= @t47 tptp.e24) (= @t46 tptp.e23) (= @t45 tptp.e20) (= @t44 tptp.e22) (= @t43 tptp.e23) (= @t42 tptp.e20) (= @t41 tptp.e24) (= @t40 tptp.e22) (= @t39 tptp.e21) (= @t38 tptp.e22) (= @t37 tptp.e23) (= @t36 tptp.e21) (= @t35 tptp.e24) (= @t34 tptp.e20))) % 0.38/0.61 (assume @p6 @t148) % 0.38/0.61 (assume @p7 true) % 0.38/0.61 (step @p8 :rule and_elim :premises (@p1) :args (3)) % 0.38/0.61 (step @p9 :rule and_elim :premises (@p4) :args (4)) % 0.38/0.61 (step @p10 :rule symm :premises (@p9)) % 0.38/0.61 (step @p11 :rule and_elim :premises (@p4) :args (15)) % 0.38/0.61 (step @p12 :rule symm :premises (@p11)) % 0.38/0.61 (step @p13 :rule and_elim :premises (@p4) :args (18)) % 0.38/0.61 (step @p14 :rule symm :premises (@p13)) % 0.38/0.61 (step @p15 :rule and_elim :premises (@p5) :args (2)) % 0.38/0.61 (step @p16 :rule symm :premises (@p15)) % 0.38/0.61 (step @p17 :rule and_elim :premises (@p5) :args (20)) % 0.38/0.61 (step @p18 :rule symm :premises (@p17)) % 0.38/0.61 (step @p19 :rule and_elim :premises (@p5) :args (24)) % 0.38/0.61 (step @p20 :rule symm :premises (@p19)) % 0.38/0.61 (step @p21 :rule eq-symm :args (@t60 tptp.e14)) % 0.38/0.61 (step @p22 :rule eq-symm :args (@t62 tptp.e13)) % 0.38/0.61 (step @p23 :rule eq-symm :args (@t64 tptp.e12)) % 0.38/0.61 (step @p24 :rule eq-symm :args (@t66 tptp.e11)) % 0.38/0.61 (step @p25 :rule eq-symm :args (@t68 tptp.e10)) % 0.38/0.61 (step @p26 :rule eq-symm :args (@t70 tptp.e24)) % 0.38/0.61 (step @p27 :rule eq-symm :args (@t72 tptp.e23)) % 0.38/0.61 (step @p28 :rule eq-symm :args (@t74 tptp.e22)) % 0.38/0.61 (step @p29 :rule eq-symm :args (@t76 tptp.e21)) % 0.38/0.61 (step @p30 :rule eq-symm :args (@t78 tptp.e20)) % 0.38/0.61 (step @p31 :rule refl :args (@t80)) % 0.38/0.61 (step @p32 :rule refl :args (@t81)) % 0.38/0.61 (step @p33 :rule refl :args (@t82)) % 0.38/0.61 (step @p34 :rule refl :args (@t83)) % 0.38/0.61 (step @p35 :rule refl :args (@t85)) % 0.38/0.61 (step @p36 :rule refl :args (@t86)) % 0.38/0.61 (step @p37 :rule refl :args (@t87)) % 0.38/0.61 (step @p38 :rule refl :args (@t88)) % 0.38/0.61 (step @p39 :rule refl :args (@t89)) % 0.38/0.61 (step @p40 :rule refl :args (@t90)) % 0.38/0.61 (step @p41 :rule refl :args (@t91)) % 0.38/0.61 (step @p42 :rule refl :args (@t92)) % 0.38/0.61 (step @p43 :rule refl :args (@t93)) % 0.38/0.61 (step @p44 :rule refl :args (@t94)) % 0.38/0.61 (step @p45 :rule refl :args (@t95)) % 0.38/0.61 (step @p46 :rule refl :args (@t96)) % 0.38/0.61 (step @p47 :rule refl :args (@t97)) % 0.38/0.61 (step @p48 :rule refl :args (@t98)) % 0.38/0.61 (step @p49 :rule refl :args (@t99)) % 0.38/0.61 (step @p50 :rule refl :args (@t100)) % 0.38/0.61 (step @p51 :rule refl :args (@t101)) % 0.38/0.61 (step @p52 :rule refl :args (@t102)) % 0.38/0.61 (step @p53 :rule refl :args (@t105)) % 0.38/0.61 (step @p54 :rule refl :args (@t106)) % 0.38/0.61 (step @p55 :rule refl :args (@t107)) % 0.38/0.61 (step @p56 :rule refl :args (@t108)) % 0.38/0.61 (step @p57 :rule refl :args (@t109)) % 0.38/0.61 (step @p58 :rule refl :args (@t110)) % 0.38/0.61 (step @p59 :rule refl :args (@t111)) % 0.38/0.61 (step @p60 :rule refl :args (@t112)) % 0.38/0.61 (step @p61 :rule refl :args (@t113)) % 0.38/0.61 (step @p62 :rule refl :args (@t114)) % 0.38/0.61 (step @p63 :rule refl :args (@t115)) % 0.38/0.61 (step @p64 :rule refl :args (@t116)) % 0.38/0.61 (step @p65 :rule refl :args (@t117)) % 0.38/0.61 (step @p66 :rule refl :args (@t118)) % 0.38/0.61 (step @p67 :rule refl :args (@t119)) % 0.38/0.61 (step @p68 :rule refl :args (@t121)) % 0.38/0.61 (step @p69 :rule refl :args (@t122)) % 0.38/0.61 (step @p70 :rule refl :args (@t123)) % 0.38/0.61 (step @p71 :rule refl :args (@t124)) % 0.38/0.61 (step @p72 :rule refl :args (@t125)) % 0.38/0.61 (step @p73 :rule refl :args (@t126)) % 0.38/0.61 (step @p74 :rule refl :args (@t127)) % 0.38/0.61 (step @p75 :rule refl :args (@t128)) % 0.38/0.61 (step @p76 :rule refl :args (@t129)) % 0.38/0.61 (step @p77 :rule refl :args (@t130)) % 0.38/0.61 (step @p78 :rule refl :args (@t131)) % 0.38/0.61 (step @p79 :rule refl :args (@t132)) % 0.38/0.61 (step @p80 :rule refl :args (@t133)) % 0.38/0.61 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @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) :args (@t134)) % 0.38/0.61 (step @p82 :rule cong :premises (@p81) :args (@t135)) % 0.38/0.61 (step @p83 :rule eq-symm :args (@t69 tptp.e14)) % 0.38/0.61 (step @p84 :rule eq-symm :args (@t69 tptp.e13)) % 0.38/0.61 (step @p85 :rule eq-symm :args (@t69 tptp.e12)) % 0.38/0.61 (step @p86 :rule eq-symm :args (@t69 tptp.e11)) % 0.38/0.61 (step @p87 :rule eq-symm :args (@t69 tptp.e10)) % 0.38/0.61 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85 @p84 @p83) :args (@t136)) % 0.38/0.61 (step @p89 :rule eq-symm :args (@t71 tptp.e14)) % 0.38/0.61 (step @p90 :rule eq-symm :args (@t71 tptp.e13)) % 0.38/0.61 (step @p91 :rule eq-symm :args (@t71 tptp.e12)) % 0.38/0.61 (step @p92 :rule eq-symm :args (@t71 tptp.e11)) % 0.38/0.61 (step @p93 :rule eq-symm :args (@t71 tptp.e10)) % 0.38/0.61 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91 @p90 @p89) :args (@t137)) % 0.38/0.61 (step @p95 :rule eq-symm :args (@t73 tptp.e14)) % 0.38/0.61 (step @p96 :rule eq-symm :args (@t73 tptp.e13)) % 0.38/0.61 (step @p97 :rule eq-symm :args (@t73 tptp.e12)) % 0.38/0.61 (step @p98 :rule eq-symm :args (@t73 tptp.e11)) % 0.38/0.61 (step @p99 :rule eq-symm :args (@t73 tptp.e10)) % 0.38/0.61 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96 @p95) :args (@t138)) % 0.38/0.61 (step @p101 :rule eq-symm :args (@t75 tptp.e14)) % 0.38/0.61 (step @p102 :rule eq-symm :args (@t75 tptp.e13)) % 0.38/0.61 (step @p103 :rule eq-symm :args (@t75 tptp.e12)) % 0.38/0.61 (step @p104 :rule eq-symm :args (@t75 tptp.e11)) % 0.38/0.61 (step @p105 :rule eq-symm :args (@t75 tptp.e10)) % 0.38/0.61 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101) :args (@t139)) % 0.38/0.61 (step @p107 :rule eq-symm :args (@t77 tptp.e14)) % 0.38/0.61 (step @p108 :rule eq-symm :args (@t77 tptp.e13)) % 0.38/0.61 (step @p109 :rule eq-symm :args (@t77 tptp.e12)) % 0.38/0.61 (step @p110 :rule eq-symm :args (@t77 tptp.e11)) % 0.38/0.61 (step @p111 :rule eq-symm :args (@t77 tptp.e10)) % 0.38/0.61 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108 @p107) :args (@t140)) % 0.38/0.61 (step @p113 :rule eq-symm :args (@t59 tptp.e24)) % 0.38/0.61 (step @p114 :rule eq-symm :args (@t59 tptp.e23)) % 0.38/0.61 (step @p115 :rule eq-symm :args (@t59 tptp.e22)) % 0.38/0.61 (step @p116 :rule eq-symm :args (@t59 tptp.e21)) % 0.38/0.61 (step @p117 :rule eq-symm :args (@t59 tptp.e20)) % 0.38/0.61 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114 @p113) :args (@t141)) % 0.38/0.61 (step @p119 :rule eq-symm :args (@t61 tptp.e24)) % 0.38/0.61 (step @p120 :rule eq-symm :args (@t61 tptp.e23)) % 0.38/0.61 (step @p121 :rule eq-symm :args (@t61 tptp.e22)) % 0.38/0.61 (step @p122 :rule eq-symm :args (@t61 tptp.e21)) % 0.38/0.61 (step @p123 :rule eq-symm :args (@t61 tptp.e20)) % 0.38/0.61 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120 @p119) :args (@t142)) % 0.38/0.61 (step @p125 :rule eq-symm :args (@t63 tptp.e24)) % 0.38/0.61 (step @p126 :rule eq-symm :args (@t63 tptp.e23)) % 0.38/0.61 (step @p127 :rule eq-symm :args (@t63 tptp.e22)) % 0.38/0.61 (step @p128 :rule eq-symm :args (@t63 tptp.e21)) % 0.38/0.61 (step @p129 :rule eq-symm :args (@t63 tptp.e20)) % 0.38/0.61 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126 @p125) :args (@t143)) % 0.38/0.61 (step @p131 :rule eq-symm :args (@t65 tptp.e24)) % 0.38/0.61 (step @p132 :rule eq-symm :args (@t65 tptp.e23)) % 0.38/0.61 (step @p133 :rule eq-symm :args (@t65 tptp.e22)) % 0.38/0.61 (step @p134 :rule eq-symm :args (@t65 tptp.e21)) % 0.38/0.61 (step @p135 :rule eq-symm :args (@t65 tptp.e20)) % 0.38/0.61 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132 @p131) :args (@t144)) % 0.38/0.61 (step @p137 :rule eq-symm :args (@t67 tptp.e24)) % 0.38/0.61 (step @p138 :rule eq-symm :args (@t67 tptp.e23)) % 0.38/0.61 (step @p139 :rule eq-symm :args (@t67 tptp.e22)) % 0.38/0.61 (step @p140 :rule eq-symm :args (@t67 tptp.e21)) % 0.38/0.61 (step @p141 :rule eq-symm :args (@t67 tptp.e20)) % 0.38/0.61 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139 @p138 @p137) :args (@t145)) % 0.38/0.61 (step @p143 :rule nary_cong :premises (@p142 @p136 @p130 @p124 @p118 @p112 @p106 @p100 @p94 @p88) :args (@t146)) % 0.38/0.61 (step @p144 :rule cong :premises (@p143 @p82) :args (@t147)) % 0.38/0.61 (step @p145 :rule cong :premises (@p144) :args (@t148)) % 0.38/0.61 (step @p146 :rule eq_resolve :premises (@p6 @p145)) % 0.38/0.61 (step @p147 :rule not_implies_elim2 :premises (@p146)) % 0.38/0.61 (step @p148 :rule not_not_elim :premises (@p147)) % 0.38/0.61 (step @p149 :rule and_elim :premises (@p148) :args (27)) % 0.38/0.61 (step @p150 :rule and_elim :premises (@p148) :args (45)) % 0.38/0.61 (step @p151 :rule and_elim :premises (@p148) :args (49)) % 0.38/0.61 (step @p152 :rule and_elim :premises (@p4) :args (24)) % 0.38/0.61 (step @p153 :rule symm :premises (@p152)) % 0.38/0.61 (step @p154 :rule and_elim :premises (@p4) :args (21)) % 0.38/0.61 (step @p155 :rule symm :premises (@p154)) % 0.38/0.61 (step @p156 :rule and_elim :premises (@p4) :args (5)) % 0.38/0.61 (step @p157 :rule symm :premises (@p156)) % 0.38/0.61 (step @p158 :rule and_elim :premises (@p1) :args (0)) % 0.38/0.61 (step @p159 :rule symm :premises (@p158)) % 0.38/0.61 (step @p160 :rule refl :args (@t150)) % 0.38/0.61 (step @p161 :rule refl :args (@t152)) % 0.38/0.61 (step @p162 :rule refl :args (@t154)) % 0.38/0.61 (step @p163 :rule refl :args (@t156)) % 0.38/0.61 (step @p164 :rule refl :args (@t158)) % 0.38/0.61 (step @p165 :rule refl :args (@t160)) % 0.38/0.61 (step @p166 :rule refl :args (@t162)) % 0.38/0.61 (step @p167 :rule bool-double-not-elim :args (@t163)) % 0.38/0.61 (step @p168 :rule refl :args (@t164)) % 0.38/0.61 (step @p169 :rule refl :args (@t165)) % 0.38/0.61 (step @p170 :rule refl :args (@t166)) % 0.38/0.61 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160) :args ((or @t166 @t165 @t164 (not @t167) @t162 @t160 @t158 @t156 @t154 @t152 @t150))) % 0.38/0.61 (assume-push @p655 @t168) % 0.38/0.61 (assume-push @p656 @t167) % 0.38/0.61 (assume-push @p657 @t169) % 0.38/0.61 (step @p175 :rule evaluate :args (@t170)) % 0.38/0.61 (step @p176 :rule symm :premises (@p655)) % 0.38/0.61 (step @p177 :rule trans :premises (@p657 @p176)) % 0.38/0.61 (step @p178 :rule true_intro :premises (@p177)) % 0.38/0.61 (step @p179 :rule false_intro :premises (@p159)) % 0.38/0.61 (step @p180 :rule symm :premises (@p179)) % 0.38/0.61 (step @p181 :rule trans :premises (@p180 @p178)) % 0.38/0.61 (step @p182 false :rule eq_resolve :premises (@p181 @p175)) % 0.38/0.61 (step-pop @p658 :rule scope :premises (@p182)) % 0.38/0.61 (step-pop @p659 :rule scope :premises (@p658)) % 0.38/0.61 (step-pop @p660 :rule scope :premises (@p659)) % 0.38/0.61 (step @p183 :rule process_scope :premises (@p660) :args (false)) % 0.38/0.61 (assume-push @p661 @t105) % 0.38/0.61 (assume-push @p662 @t85) % 0.38/0.61 (assume-push @p663 @t80) % 0.38/0.61 (assume-push @p664 @t167) % 0.38/0.61 (assume-push @p665 @t161) % 0.38/0.61 (assume-push @p666 @t159) % 0.38/0.61 (assume-push @p667 @t157) % 0.38/0.61 (assume-push @p668 @t155) % 0.38/0.61 (assume-push @p669 @t153) % 0.38/0.61 (assume-push @p670 @t151) % 0.38/0.61 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chain_m_resolution :premises (@p449 @p346 @p345 @p343 @p341 @p16 @p18 @p20 @p149 @p150 @p151) :args (@t184 @t172 (@list @t1 @t185 @t187 @t189 @t151 @t153 @t155 @t105 @t85 @t80))) % 0.38/0.61 (step @p451 :rule and_elim :premises (@p4) :args (16)) % 0.38/0.61 (step @p452 :rule symm :premises (@p451)) % 0.38/0.61 (step @p453 :rule and_elim :premises (@p4) :args (3)) % 0.38/0.61 (step @p454 :rule symm :premises (@p453)) % 0.38/0.61 (step @p455 :rule and_elim :premises (@p4) :args (0)) % 0.38/0.61 (step @p456 :rule symm :premises (@p455)) % 0.38/0.61 (step @p457 :rule and_elim :premises (@p1) :args (5)) % 0.38/0.61 (step @p458 :rule refl :args (@t195)) % 0.38/0.61 (step @p459 :rule refl :args (@t197)) % 0.38/0.61 (step @p460 :rule refl :args (@t199)) % 0.38/0.61 (step @p461 :rule refl :args (@t201)) % 0.38/0.61 (step @p462 :rule bool-double-not-elim :args (@t3)) % 0.38/0.61 (step @p463 :rule nary_cong :premises (@p462 @p170 @p169 @p168 @p461 @p460 @p459 @p163 @p162 @p161 @p458) :args ((or (not @t4) @t166 @t165 @t164 @t201 @t199 @t197 @t156 @t154 @t152 @t195))) % 0.38/0.61 (assume-push @p805 @t192) % 0.38/0.61 (assume-push @p806 @t202) % 0.38/0.61 (assume-push @p807 @t4) % 0.38/0.61 (step @p175 :rule evaluate :args (@t170)) % 0.38/0.61 (step @p467 :rule symm :premises (@p805)) % 0.38/0.61 (step @p468 :rule trans :premises (@p806 @p467)) % 0.38/0.61 (step @p469 :rule true_intro :premises (@p468)) % 0.38/0.61 (step @p470 :rule false_intro :premises (@p457)) % 0.38/0.61 (step @p471 :rule symm :premises (@p470)) % 0.38/0.61 (step @p472 :rule trans :premises (@p471 @p469)) % 0.38/0.61 (step @p473 false :rule eq_resolve :premises (@p472 @p175)) % 0.38/0.61 (step-pop @p808 :rule scope :premises (@p473)) % 0.38/0.61 (step-pop @p809 :rule scope :premises (@p808)) % 0.38/0.61 (step-pop @p810 :rule scope :premises (@p809)) % 0.38/0.61 (step @p474 :rule process_scope :premises (@p810) :args (false)) % 0.38/0.61 (assume-push @p811 @t4) % 0.38/0.61 (assume-push @p812 @t105) % 0.38/0.61 (assume-push @p813 @t85) % 0.38/0.61 (assume-push @p814 @t80) % 0.38/0.61 (assume-push @p815 @t200) % 0.38/0.61 (assume-push @p816 @t198) % 0.38/0.61 (assume-push @p817 @t196) % 0.38/0.61 (assume-push @p818 @t155) % 0.38/0.61 (assume-push @p819 @t153) % 0.38/0.61 (assume-push @p820 @t151) % 0.38/0.61 (assume-push @p821 @t194) % 0.38/0.61 (assume-push @p822 @t153) % 0.38/0.61 (assume-push @p823 @t85) % 0.38/0.61 (assume-push @p824 @t194) % 0.38/0.61 (assume-push @p825 @t155) % 0.38/0.61 (assume-push @p826 @t80) % 0.38/0.61 (assume-push @p827 @t196) % 0.38/0.61 (assume-push @p828 @t198) % 0.38/0.61 (step @p225 :rule cong :premises (@p17) :args (@t84)) % 0.38/0.61 (step @p226 :rule symm :premises (@p150)) % 0.38/0.61 (step @p202 :rule cong :premises (@p19) :args (@t79)) % 0.38/0.61 (step @p203 :rule symm :premises (@p151)) % 0.38/0.61 (step @p496 :rule cong :premises (@p821 @p821) :args (@t33)) % 0.38/0.61 (step @p497 :rule trans :premises (@p456 @p496 @p203 @p202)) % 0.38/0.61 (step @p498 :rule cong :premises (@p821 @p497) :args (@t30)) % 0.38/0.61 (step @p499 :rule trans :premises (@p454 @p498 @p226 @p225)) % 0.38/0.61 (step-pop @p829 :rule scope :premises (@p499)) % 0.38/0.61 (step-pop @p830 :rule scope :premises (@p829)) % 0.38/0.61 (step-pop @p831 :rule scope :premises (@p830)) % 0.38/0.61 (step-pop @p832 :rule scope :premises (@p831)) % 0.38/0.61 (step-pop @p833 :rule scope :premises (@p832)) % 0.38/0.61 (step-pop @p834 :rule scope :premises (@p833)) % 0.38/0.61 (step-pop @p835 :rule scope :premises (@p834)) % 0.38/0.61 (step @p500 :rule process_scope :premises (@p835) :args (@t202)) % 0.38/0.61 (step @p508 :rule and_intro :premises (@p18 @p150 @p821 @p20 @p151 @p456 @p454)) % 0.38/0.61 (step @p509 :rule modus_ponens :premises (@p508 @p500)) % 0.38/0.61 (assume-push @p836 @t153) % 0.38/0.61 (assume-push @p837 @t85) % 0.38/0.61 (assume-push @p838 @t194) % 0.38/0.61 (assume-push @p839 @t155) % 0.38/0.61 (assume-push @p840 @t80) % 0.38/0.61 (assume-push @p841 @t196) % 0.38/0.61 (assume-push @p842 @t198) % 0.38/0.61 (assume-push @p843 @t200) % 0.38/0.61 (assume-push @p844 @t105) % 0.38/0.61 (assume-push @p845 @t151) % 0.38/0.61 (step @p225 :rule cong :premises (@p17) :args (@t84)) % 0.38/0.61 (step @p226 :rule symm :premises (@p150)) % 0.38/0.61 (step @p202 :rule cong :premises (@p19) :args (@t79)) % 0.38/0.61 (step @p203 :rule symm :premises (@p151)) % 0.38/0.61 (step @p520 :rule cong :premises (@p821 @p821) :args (@t33)) % 0.38/0.61 (step @p521 :rule trans :premises (@p456 @p520 @p203 @p202)) % 0.38/0.61 (step @p522 :rule cong :premises (@p821 @p521) :args (@t30)) % 0.38/0.61 (step @p523 :rule symm :premises (@p522)) % 0.38/0.61 (step @p413 :rule symm :premises (@p225)) % 0.38/0.61 (step @p524 :rule trans :premises (@p413 @p150 @p523 @p453)) % 0.38/0.61 (step @p525 :rule symm :premises (@p521)) % 0.38/0.61 (step @p526 :rule cong :premises (@p525 @p524) :args (@t103)) % 0.38/0.61 (step @p417 :rule cong :premises (@p16) :args (@t77)) % 0.38/0.61 (step @p527 :rule trans :premises (@p456 @p520 @p203 @p202 @p417 @p149 @p526 @p451 @p454 @p522 @p226 @p225)) % 0.38/0.61 (step-pop @p846 :rule scope :premises (@p527)) % 0.38/0.61 (step-pop @p847 :rule scope :premises (@p846)) % 0.38/0.61 (step-pop @p848 :rule scope :premises (@p847)) % 0.38/0.61 (step-pop @p849 :rule scope :premises (@p848)) % 0.38/0.61 (step-pop @p850 :rule scope :premises (@p849)) % 0.38/0.61 (step-pop @p851 :rule scope :premises (@p850)) % 0.38/0.61 (step-pop @p852 :rule scope :premises (@p851)) % 0.38/0.61 (step-pop @p853 :rule scope :premises (@p852)) % 0.38/0.61 (step-pop @p854 :rule scope :premises (@p853)) % 0.38/0.61 (step-pop @p855 :rule scope :premises (@p854)) % 0.38/0.61 (step @p528 :rule process_scope :premises (@p855) :args (@t192)) % 0.38/0.61 (step @p539 :rule and_intro :premises (@p18 @p150 @p821 @p20 @p151 @p456 @p454 @p452 @p149 @p16)) % 0.38/0.61 (step @p540 :rule modus_ponens :premises (@p539 @p528)) % 0.38/0.61 (step @p541 :rule and_intro :premises (@p540 @p509 @p457)) % 0.38/0.61 (step-pop @p856 :rule scope :premises (@p541)) % 0.38/0.61 (step-pop @p857 :rule scope :premises (@p856)) % 0.38/0.61 (step-pop @p858 :rule scope :premises (@p857)) % 0.38/0.61 (step-pop @p859 :rule scope :premises (@p858)) % 0.38/0.61 (step-pop @p860 :rule scope :premises (@p859)) % 0.38/0.61 (step-pop @p861 :rule scope :premises (@p860)) % 0.38/0.61 (step-pop @p862 :rule scope :premises (@p861)) % 0.38/0.61 (step-pop @p863 :rule scope :premises (@p862)) % 0.38/0.61 (step-pop @p864 :rule scope :premises (@p863)) % 0.38/0.61 (step-pop @p865 :rule scope :premises (@p864)) % 0.38/0.61 (step-pop @p866 :rule scope :premises (@p865)) % 0.38/0.61 (step @p542 :rule process_scope :premises (@p866) :args (@t203)) % 0.38/0.61 (step @p554 :rule implies_elim :premises (@p542)) % 0.38/0.61 (step @p555 :rule resolution :premises (@p554 @p474) :args (true @t203)) % 0.38/0.61 (step @p556 :rule not_and :premises (@p555)) % 0.38/0.61 (step @p557 :rule eq_resolve :premises (@p556 @p463)) % 0.38/0.61 (step @p558 :rule reordering :premises (@p557) :args ((or @t3 @t197 @t199 @t201 @t152 @t154 @t156 @t195 @t166 @t165 @t164))) % 0.38/0.61 (step @p559 :rule chain_m_resolution :premises (@p558 @p457 @p456 @p454 @p452 @p16 @p18 @p20 @p149 @p150 @p151) :args (@t195 @t172 (@list @t3 @t196 @t198 @t200 @t151 @t153 @t155 @t105 @t85 @t80))) % 0.38/0.61 (step @p560 :rule not_implies_elim1 :premises (@p146)) % 0.38/0.61 (step @p561 :rule and_elim :premises (@p560) :args (9)) % 0.38/0.61 (step @p562 :rule chain_m_resolution :premises (@p561 @p559 @p450 @p339 @p264) :args (@t204 (@list true true true true) (@list @t194 @t183 @t175 @t149))) % 0.38/0.61 (step @p563 :rule refl :args (@t205)) % 0.38/0.61 (step @p564 :rule refl :args (@t207)) % 0.38/0.61 (step @p565 :rule refl :args (@t209)) % 0.38/0.61 (step @p566 :rule refl :args (@t211)) % 0.38/0.61 (step @p567 :rule bool-double-not-elim :args (@t5)) % 0.38/0.61 (step @p568 :rule nary_cong :premises (@p567 @p170 @p169 @p168 @p566 @p565 @p564 @p163 @p162 @p161 @p563) :args ((or (not @t6) @t166 @t165 @t164 @t211 @t209 @t207 @t156 @t154 @t152 @t205))) % 0.38/0.61 (assume-push @p867 @t212) % 0.38/0.61 (assume-push @p868 @t168) % 0.38/0.61 (assume-push @p869 @t6) % 0.38/0.61 (step @p175 :rule evaluate :args (@t170)) % 0.38/0.61 (step @p572 :rule symm :premises (@p867)) % 0.38/0.61 (step @p573 :rule trans :premises (@p868 @p572)) % 0.38/0.61 (step @p574 :rule true_intro :premises (@p573)) % 0.38/0.61 (step @p575 :rule false_intro :premises (@p8)) % 0.38/0.61 (step @p576 :rule symm :premises (@p575)) % 0.38/0.61 (step @p577 :rule trans :premises (@p576 @p574)) % 0.38/0.61 (step @p578 false :rule eq_resolve :premises (@p577 @p175)) % 0.38/0.61 (step-pop @p870 :rule scope :premises (@p578)) % 0.38/0.61 (step-pop @p871 :rule scope :premises (@p870)) % 0.38/0.61 (step-pop @p872 :rule scope :premises (@p871)) % 0.38/0.61 (step @p579 :rule process_scope :premises (@p872) :args (false)) % 0.38/0.61 (assume-push @p873 @t6) % 0.38/0.61 (assume-push @p874 @t105) % 0.38/0.61 (assume-push @p875 @t85) % 0.38/0.61 (assume-push @p876 @t80) % 0.38/0.61 (assume-push @p877 @t210) % 0.38/0.61 (assume-push @p878 @t208) % 0.38/0.61 (assume-push @p879 @t206) % 0.38/0.61 (assume-push @p880 @t155) % 0.38/0.61 (assume-push @p881 @t153) % 0.38/0.61 (assume-push @p882 @t151) % 0.38/0.61 (assume-push @p883 @t204) % 0.38/0.61 (assume-push @p884 @t155) % 0.38/0.61 (assume-push @p885 @t80) % 0.38/0.61 (assume-push @p886 @t204) % 0.38/0.61 (assume-push @p887 @t210) % 0.38/0.61 (step @p202 :rule cong :premises (@p19) :args (@t79)) % 0.38/0.61 (step @p203 :rule symm :premises (@p151)) % 0.38/0.61 (step @p598 :rule cong :premises (@p883 @p883) :args (@t15)) % 0.38/0.61 (step @p599 :rule trans :premises (@p14 @p598 @p203 @p202)) % 0.38/0.61 (step-pop @p888 :rule scope :premises (@p599)) % 0.38/0.61 (step-pop @p889 :rule scope :premises (@p888)) % 0.38/0.61 (step-pop @p890 :rule scope :premises (@p889)) % 0.38/0.61 (step-pop @p891 :rule scope :premises (@p890)) % 0.38/0.61 (step @p600 :rule process_scope :premises (@p891) :args (@t168)) % 0.38/0.61 (step @p605 :rule and_intro :premises (@p20 @p151 @p883 @p14)) % 0.38/0.61 (step @p606 :rule modus_ponens :premises (@p605 @p600)) % 0.38/0.61 (assume-push @p892 @t151) % 0.38/0.61 (assume-push @p893 @t105) % 0.38/0.61 (assume-push @p894 @t155) % 0.38/0.61 (assume-push @p895 @t80) % 0.38/0.61 (assume-push @p896 @t204) % 0.38/0.61 (assume-push @p897 @t210) % 0.38/0.61 (assume-push @p898 @t153) % 0.38/0.61 (assume-push @p899 @t85) % 0.38/0.61 (assume-push @p900 @t208) % 0.38/0.61 (assume-push @p901 @t206) % 0.38/0.61 (step @p223 :rule cong :premises (@p15) :args (@t104)) % 0.38/0.61 (step @p224 :rule symm :premises (@p149)) % 0.38/0.61 (step @p225 :rule cong :premises (@p17) :args (@t84)) % 0.38/0.61 (step @p226 :rule symm :premises (@p150)) % 0.38/0.61 (step @p202 :rule cong :premises (@p19) :args (@t79)) % 0.38/0.61 (step @p203 :rule symm :premises (@p151)) % 0.38/0.61 (step @p617 :rule cong :premises (@p883 @p883) :args (@t15)) % 0.38/0.61 (step @p618 :rule trans :premises (@p14 @p617 @p203 @p202)) % 0.38/0.61 (step @p619 :rule cong :premises (@p883 @p618) :args (@t18)) % 0.38/0.61 (step @p620 :rule trans :premises (@p12 @p619 @p226 @p225)) % 0.38/0.61 (step @p621 :rule cong :premises (@p618 @p620) :args (@t29)) % 0.38/0.61 (step @p622 :rule trans :premises (@p10 @p621 @p224 @p223)) % 0.38/0.61 (step-pop @p902 :rule scope :premises (@p622)) % 0.38/0.61 (step-pop @p903 :rule scope :premises (@p902)) % 0.38/0.61 (step-pop @p904 :rule scope :premises (@p903)) % 0.38/0.61 (step-pop @p905 :rule scope :premises (@p904)) % 0.38/0.61 (step-pop @p906 :rule scope :premises (@p905)) % 0.38/0.61 (step-pop @p907 :rule scope :premises (@p906)) % 0.38/0.61 (step-pop @p908 :rule scope :premises (@p907)) % 0.38/0.61 (step-pop @p909 :rule scope :premises (@p908)) % 0.38/0.61 (step-pop @p910 :rule scope :premises (@p909)) % 0.38/0.61 (step-pop @p911 :rule scope :premises (@p910)) % 0.38/0.61 (step @p623 :rule process_scope :premises (@p911) :args (@t212)) % 0.38/0.61 (step @p634 :rule and_intro :premises (@p16 @p149 @p20 @p151 @p883 @p14 @p18 @p150 @p12 @p10)) % 0.38/0.61 (step @p635 :rule modus_ponens :premises (@p634 @p623)) % 0.38/0.61 (step @p636 :rule and_intro :premises (@p635 @p606 @p8)) % 0.38/0.61 (step-pop @p912 :rule scope :premises (@p636)) % 0.38/0.61 (step-pop @p913 :rule scope :premises (@p912)) % 0.38/0.61 (step-pop @p914 :rule scope :premises (@p913)) % 0.38/0.61 (step-pop @p915 :rule scope :premises (@p914)) % 0.38/0.61 (step-pop @p916 :rule scope :premises (@p915)) % 0.38/0.61 (step-pop @p917 :rule scope :premises (@p916)) % 0.38/0.61 (step-pop @p918 :rule scope :premises (@p917)) % 0.38/0.61 (step-pop @p919 :rule scope :premises (@p918)) % 0.38/0.61 (step-pop @p920 :rule scope :premises (@p919)) % 0.38/0.61 (step-pop @p921 :rule scope :premises (@p920)) % 0.38/0.61 (step-pop @p922 :rule scope :premises (@p921)) % 0.38/0.61 (step @p637 :rule process_scope :premises (@p922) :args (@t213)) % 0.38/0.61 (step @p649 :rule implies_elim :premises (@p637)) % 0.38/0.61 (step @p650 :rule resolution :premises (@p649 @p579) :args (true @t213)) % 0.38/0.61 (step @p651 :rule not_and :premises (@p650)) % 0.38/0.61 (step @p652 :rule eq_resolve :premises (@p651 @p568)) % 0.38/0.61 (step @p653 :rule reordering :premises (@p652) :args ((or @t5 @t207 @t209 @t211 @t152 @t154 @t156 @t205 @t166 @t165 @t164))) % 0.38/0.61 (step @p654 false :rule chain_m_resolution :premises (@p653 @p562 @p151 @p150 @p149 @p20 @p18 @p16 @p14 @p12 @p10 @p8) :args (false (@list false false false false false false false false false false true) (@list @t204 @t80 @t85 @t105 @t155 @t153 @t151 @t210 @t208 @t206 @t5))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------