%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG079+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG079+1 : TPTP v9.2.1. Released v2.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 01:39:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.e13 $$unsorted) % 0.36/0.61 (declare-const tptp.e12 $$unsorted) % 0.36/0.61 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.e11 $$unsorted) % 0.36/0.61 (declare-const tptp.e10 $$unsorted) % 0.36/0.61 (declare-const tptp.e24 $$unsorted) % 0.36/0.61 (declare-const tptp.e23 $$unsorted) % 0.36/0.61 (declare-const tptp.e22 $$unsorted) % 0.36/0.61 (declare-const tptp.e21 $$unsorted) % 0.36/0.61 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.e14 $$unsorted) % 0.36/0.61 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.e20 $$unsorted) % 0.36/0.61 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.36/0.61 (define @t1 () (= tptp.e13 tptp.e14)) % 0.36/0.61 (define @t2 () (not @t1)) % 0.36/0.61 (define @t3 () (= tptp.e23 tptp.e24)) % 0.36/0.61 (define @t4 () (not @t3)) % 0.36/0.61 (define @t5 () (= tptp.e21 tptp.e24)) % 0.36/0.61 (define @t6 () (not @t5)) % 0.36/0.61 (define @t7 () (tptp.op1 tptp.e14 tptp.e14)) % 0.36/0.61 (define @t8 () (tptp.op1 tptp.e14 tptp.e13)) % 0.36/0.61 (define @t9 () (tptp.op1 tptp.e14 tptp.e12)) % 0.36/0.61 (define @t10 () (tptp.op1 tptp.e14 tptp.e11)) % 0.36/0.61 (define @t11 () (tptp.op1 tptp.e14 tptp.e10)) % 0.36/0.61 (define @t12 () (tptp.op1 tptp.e13 tptp.e14)) % 0.36/0.61 (define @t13 () (tptp.op1 tptp.e13 tptp.e13)) % 0.36/0.61 (define @t14 () (tptp.op1 tptp.e13 tptp.e12)) % 0.36/0.61 (define @t15 () (tptp.op1 tptp.e13 tptp.e11)) % 0.36/0.61 (define @t16 () (tptp.op1 tptp.e13 tptp.e10)) % 0.36/0.61 (define @t17 () (tptp.op1 tptp.e12 tptp.e14)) % 0.36/0.61 (define @t18 () (tptp.op1 tptp.e12 tptp.e13)) % 0.36/0.61 (define @t19 () (tptp.op1 tptp.e12 tptp.e12)) % 0.36/0.61 (define @t20 () (tptp.op1 tptp.e12 tptp.e11)) % 0.36/0.61 (define @t21 () (tptp.op1 tptp.e12 tptp.e10)) % 0.36/0.61 (define @t22 () (tptp.op1 tptp.e11 tptp.e14)) % 0.36/0.61 (define @t23 () (tptp.op1 tptp.e11 tptp.e13)) % 0.36/0.61 (define @t24 () (tptp.op1 tptp.e11 tptp.e12)) % 0.36/0.61 (define @t25 () (tptp.op1 tptp.e11 tptp.e11)) % 0.36/0.61 (define @t26 () (tptp.op1 tptp.e11 tptp.e10)) % 0.36/0.61 (define @t27 () (tptp.op1 tptp.e10 tptp.e14)) % 0.36/0.61 (define @t28 () (tptp.op1 tptp.e10 tptp.e13)) % 0.36/0.61 (define @t29 () (tptp.op1 tptp.e10 tptp.e12)) % 0.36/0.61 (define @t30 () (tptp.op1 tptp.e10 tptp.e11)) % 0.36/0.61 (define @t31 () (tptp.op1 tptp.e10 tptp.e10)) % 0.36/0.61 (define @t32 () (tptp.op2 tptp.e24 tptp.e24)) % 0.36/0.61 (define @t33 () (tptp.op2 tptp.e24 tptp.e23)) % 0.36/0.61 (define @t34 () (tptp.op2 tptp.e24 tptp.e22)) % 0.36/0.61 (define @t35 () (tptp.op2 tptp.e24 tptp.e21)) % 0.36/0.61 (define @t36 () (tptp.op2 tptp.e24 tptp.e20)) % 0.36/0.61 (define @t37 () (tptp.op2 tptp.e23 tptp.e24)) % 0.36/0.61 (define @t38 () (tptp.op2 tptp.e23 tptp.e23)) % 0.36/0.61 (define @t39 () (tptp.op2 tptp.e23 tptp.e22)) % 0.36/0.61 (define @t40 () (tptp.op2 tptp.e23 tptp.e21)) % 0.36/0.61 (define @t41 () (tptp.op2 tptp.e23 tptp.e20)) % 0.36/0.61 (define @t42 () (tptp.op2 tptp.e22 tptp.e24)) % 0.36/0.61 (define @t43 () (tptp.op2 tptp.e22 tptp.e23)) % 0.36/0.61 (define @t44 () (tptp.op2 tptp.e22 tptp.e22)) % 0.36/0.61 (define @t45 () (tptp.op2 tptp.e22 tptp.e21)) % 0.36/0.61 (define @t46 () (tptp.op2 tptp.e22 tptp.e20)) % 0.36/0.61 (define @t47 () (tptp.op2 tptp.e21 tptp.e24)) % 0.36/0.61 (define @t48 () (tptp.op2 tptp.e21 tptp.e23)) % 0.36/0.61 (define @t49 () (tptp.op2 tptp.e21 tptp.e22)) % 0.36/0.61 (define @t50 () (tptp.op2 tptp.e21 tptp.e21)) % 0.36/0.61 (define @t51 () (tptp.op2 tptp.e21 tptp.e20)) % 0.36/0.61 (define @t52 () (tptp.op2 tptp.e20 tptp.e24)) % 0.36/0.61 (define @t53 () (tptp.op2 tptp.e20 tptp.e23)) % 0.36/0.61 (define @t54 () (tptp.op2 tptp.e20 tptp.e22)) % 0.36/0.61 (define @t55 () (tptp.op2 tptp.e20 tptp.e21)) % 0.36/0.61 (define @t56 () (tptp.op2 tptp.e20 tptp.e20)) % 0.36/0.61 (define @t57 () (tptp.h tptp.e14)) % 0.36/0.61 (define @t58 () (tptp.j @t57)) % 0.36/0.61 (define @t59 () (tptp.h tptp.e13)) % 0.36/0.61 (define @t60 () (tptp.j @t59)) % 0.36/0.61 (define @t61 () (tptp.h tptp.e12)) % 0.36/0.61 (define @t62 () (tptp.j @t61)) % 0.36/0.61 (define @t63 () (tptp.h tptp.e11)) % 0.36/0.61 (define @t64 () (tptp.j @t63)) % 0.36/0.61 (define @t65 () (tptp.h tptp.e10)) % 0.36/0.61 (define @t66 () (tptp.j @t65)) % 0.36/0.61 (define @t67 () (tptp.j tptp.e24)) % 0.36/0.61 (define @t68 () (tptp.h @t67)) % 0.36/0.61 (define @t69 () (tptp.j tptp.e23)) % 0.36/0.61 (define @t70 () (tptp.h @t69)) % 0.36/0.61 (define @t71 () (tptp.j tptp.e22)) % 0.36/0.61 (define @t72 () (tptp.h @t71)) % 0.36/0.61 (define @t73 () (tptp.j tptp.e21)) % 0.36/0.61 (define @t74 () (tptp.h @t73)) % 0.36/0.61 (define @t75 () (tptp.j tptp.e20)) % 0.36/0.61 (define @t76 () (tptp.h @t75)) % 0.36/0.61 (define @t77 () (tptp.op1 @t67 @t67)) % 0.36/0.61 (define @t78 () (tptp.j @t32)) % 0.36/0.61 (define @t79 () (= @t78 @t77)) % 0.36/0.61 (define @t80 () (tptp.op1 @t67 @t69)) % 0.36/0.61 (define @t81 () (= (tptp.j @t33) @t80)) % 0.36/0.61 (define @t82 () (= (tptp.j @t34) (tptp.op1 @t67 @t71))) % 0.36/0.61 (define @t83 () (tptp.op1 @t67 @t73)) % 0.36/0.61 (define @t84 () (= (tptp.j @t35) @t83)) % 0.36/0.61 (define @t85 () (= (tptp.j @t36) (tptp.op1 @t67 @t75))) % 0.36/0.61 (define @t86 () (= (tptp.j @t37) (tptp.op1 @t69 @t67))) % 0.36/0.61 (define @t87 () (= (tptp.j @t38) (tptp.op1 @t69 @t69))) % 0.36/0.61 (define @t88 () (= (tptp.j @t39) (tptp.op1 @t69 @t71))) % 0.36/0.61 (define @t89 () (= (tptp.j @t40) (tptp.op1 @t69 @t73))) % 0.36/0.61 (define @t90 () (= (tptp.j @t41) (tptp.op1 @t69 @t75))) % 0.36/0.61 (define @t91 () (= (tptp.j @t42) (tptp.op1 @t71 @t67))) % 0.36/0.61 (define @t92 () (= (tptp.j @t43) (tptp.op1 @t71 @t69))) % 0.36/0.61 (define @t93 () (= (tptp.j @t44) (tptp.op1 @t71 @t71))) % 0.36/0.61 (define @t94 () (= (tptp.j @t45) (tptp.op1 @t71 @t73))) % 0.36/0.61 (define @t95 () (= (tptp.j @t46) (tptp.op1 @t71 @t75))) % 0.36/0.61 (define @t96 () (= (tptp.j @t47) (tptp.op1 @t73 @t67))) % 0.36/0.61 (define @t97 () (tptp.op1 @t73 @t69)) % 0.36/0.61 (define @t98 () (= (tptp.j @t48) @t97)) % 0.36/0.61 (define @t99 () (= (tptp.j @t49) (tptp.op1 @t73 @t71))) % 0.36/0.61 (define @t100 () (tptp.j @t50)) % 0.36/0.61 (define @t101 () (= @t100 (tptp.op1 @t73 @t73))) % 0.36/0.61 (define @t102 () (= (tptp.j @t51) (tptp.op1 @t73 @t75))) % 0.36/0.61 (define @t103 () (= (tptp.j @t52) (tptp.op1 @t75 @t67))) % 0.36/0.61 (define @t104 () (= (tptp.j @t53) (tptp.op1 @t75 @t69))) % 0.36/0.61 (define @t105 () (= (tptp.j @t54) (tptp.op1 @t75 @t71))) % 0.36/0.61 (define @t106 () (= (tptp.j @t55) (tptp.op1 @t75 @t73))) % 0.36/0.61 (define @t107 () (= (tptp.j @t56) (tptp.op1 @t75 @t75))) % 0.36/0.61 (define @t108 () (= (tptp.h @t7) (tptp.op2 @t57 @t57))) % 0.36/0.61 (define @t109 () (= (tptp.h @t8) (tptp.op2 @t57 @t59))) % 0.36/0.61 (define @t110 () (= (tptp.h @t9) (tptp.op2 @t57 @t61))) % 0.36/0.61 (define @t111 () (= (tptp.h @t10) (tptp.op2 @t57 @t63))) % 0.36/0.61 (define @t112 () (= (tptp.h @t11) (tptp.op2 @t57 @t65))) % 0.36/0.61 (define @t113 () (= (tptp.h @t12) (tptp.op2 @t59 @t57))) % 0.36/0.61 (define @t114 () (= (tptp.h @t13) (tptp.op2 @t59 @t59))) % 0.36/0.61 (define @t115 () (= (tptp.h @t14) (tptp.op2 @t59 @t61))) % 0.36/0.61 (define @t116 () (= (tptp.h @t15) (tptp.op2 @t59 @t63))) % 0.36/0.61 (define @t117 () (= (tptp.h @t16) (tptp.op2 @t59 @t65))) % 0.36/0.61 (define @t118 () (= (tptp.h @t17) (tptp.op2 @t61 @t57))) % 0.36/0.61 (define @t119 () (= (tptp.h @t18) (tptp.op2 @t61 @t59))) % 0.36/0.61 (define @t120 () (= (tptp.h @t19) (tptp.op2 @t61 @t61))) % 0.36/0.61 (define @t121 () (= (tptp.h @t20) (tptp.op2 @t61 @t63))) % 0.36/0.61 (define @t122 () (= (tptp.h @t21) (tptp.op2 @t61 @t65))) % 0.36/0.61 (define @t123 () (= (tptp.h @t22) (tptp.op2 @t63 @t57))) % 0.36/0.61 (define @t124 () (= (tptp.h @t23) (tptp.op2 @t63 @t59))) % 0.36/0.61 (define @t125 () (= (tptp.h @t24) (tptp.op2 @t63 @t61))) % 0.36/0.61 (define @t126 () (tptp.h @t25)) % 0.36/0.61 (define @t127 () (= @t126 (tptp.op2 @t63 @t63))) % 0.36/0.61 (define @t128 () (tptp.h @t26)) % 0.36/0.61 (define @t129 () (= @t128 (tptp.op2 @t63 @t65))) % 0.36/0.61 (define @t130 () (= (tptp.h @t27) (tptp.op2 @t65 @t57))) % 0.36/0.61 (define @t131 () (= (tptp.h @t28) (tptp.op2 @t65 @t59))) % 0.36/0.61 (define @t132 () (= (tptp.h @t29) (tptp.op2 @t65 @t61))) % 0.36/0.61 (define @t133 () (= (tptp.h @t30) (tptp.op2 @t65 @t63))) % 0.36/0.61 (define @t134 () (tptp.h @t31)) % 0.36/0.61 (define @t135 () (= @t134 (tptp.op2 @t65 @t65))) % 0.36/0.61 (define @t136 () (and @t135 @t133 @t132 @t131 @t130 @t129 @t127 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t98 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t82 @t81 @t79 (= @t76 tptp.e20) (= @t74 tptp.e21) (= @t72 tptp.e22) (= @t70 tptp.e23) (= @t68 tptp.e24) (= @t66 tptp.e10) (= @t64 tptp.e11) (= @t62 tptp.e12) (= @t60 tptp.e13) (= @t58 tptp.e14))) % 0.36/0.61 (define @t137 () (not @t136)) % 0.36/0.61 (define @t138 () (or (= @t67 tptp.e10) (= @t67 tptp.e11) (= @t67 tptp.e12) (= @t67 tptp.e13) (= @t67 tptp.e14))) % 0.36/0.61 (define @t139 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14))) % 0.36/0.61 (define @t140 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14))) % 0.36/0.61 (define @t141 () (or (= @t73 tptp.e10) (= @t73 tptp.e11) (= @t73 tptp.e12) (= @t73 tptp.e13) (= @t73 tptp.e14))) % 0.36/0.61 (define @t142 () (or (= @t75 tptp.e10) (= @t75 tptp.e11) (= @t75 tptp.e12) (= @t75 tptp.e13) (= @t75 tptp.e14))) % 0.36/0.61 (define @t143 () (or (= @t57 tptp.e20) (= @t57 tptp.e21) (= @t57 tptp.e22) (= @t57 tptp.e23) (= @t57 tptp.e24))) % 0.36/0.61 (define @t144 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24))) % 0.36/0.61 (define @t145 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24))) % 0.36/0.61 (define @t146 () (or (= @t63 tptp.e20) (= @t63 tptp.e21) (= @t63 tptp.e22) (= @t63 tptp.e23) (= @t63 tptp.e24))) % 0.36/0.61 (define @t147 () (or (= @t65 tptp.e20) (= @t65 tptp.e21) (= @t65 tptp.e22) (= @t65 tptp.e23) (= @t65 tptp.e24))) % 0.36/0.61 (define @t148 () (and @t147 @t146 @t145 @t144 @t143 @t142 @t141 @t140 @t139 @t138)) % 0.36/0.61 (define @t149 () (=> @t148 @t137)) % 0.36/0.61 (define @t150 () (not @t149)) % 0.36/0.61 (define @t151 () (= tptp.e24 @t68)) % 0.36/0.61 (define @t152 () (not @t151)) % 0.36/0.61 (define @t153 () (= tptp.e11 @t67)) % 0.36/0.61 (define @t154 () (not @t153)) % 0.36/0.61 (define @t155 () (= tptp.e23 @t35)) % 0.36/0.61 (define @t156 () (not @t155)) % 0.36/0.61 (define @t157 () (= tptp.e21 @t32)) % 0.36/0.61 (define @t158 () (not @t157)) % 0.36/0.61 (define @t159 () (= tptp.e11 @t26)) % 0.36/0.61 (define @t160 () (not @t159)) % 0.36/0.61 (define @t161 () (= tptp.e10 @t25)) % 0.36/0.61 (define @t162 () (not @t161)) % 0.36/0.61 (define @t163 () (not @t127)) % 0.36/0.61 (define @t164 () (not @t129)) % 0.36/0.61 (define @t165 () (= tptp.e24 @t63)) % 0.36/0.61 (define @t166 () (= tptp.e23 @t63)) % 0.36/0.61 (define @t167 () (= false true)) % 0.36/0.61 (define @t168 () (and @t165 @t166 @t4)) % 0.36/0.61 (define @t169 () (= tptp.e10 @t67)) % 0.36/0.61 (define @t170 () (not @t169)) % 0.36/0.61 (define @t171 () (= tptp.e10 @t31)) % 0.36/0.61 (define @t172 () (not @t171)) % 0.36/0.61 (define @t173 () (not @t135)) % 0.36/0.61 (define @t174 () (= tptp.e24 @t65)) % 0.36/0.61 (define @t175 () (= tptp.e21 @t65)) % 0.36/0.61 (define @t176 () (and @t174 @t175 @t6)) % 0.36/0.61 (define @t177 () (= tptp.e13 @t67)) % 0.36/0.61 (define @t178 () (= tptp.e12 @t67)) % 0.36/0.61 (define @t179 () (not @t178)) % 0.36/0.61 (define @t180 () (= tptp.e24 @t48)) % 0.36/0.61 (define @t181 () (not @t180)) % 0.36/0.61 (define @t182 () (= tptp.e12 @t29)) % 0.36/0.61 (define @t183 () (not @t182)) % 0.36/0.61 (define @t184 () (= tptp.e13 @t19)) % 0.36/0.61 (define @t185 () (not @t184)) % 0.36/0.61 (define @t186 () (= tptp.e10 @t18)) % 0.36/0.61 (define @t187 () (not @t186)) % 0.36/0.61 (define @t188 () (= tptp.e13 @t16)) % 0.36/0.61 (define @t189 () (not @t188)) % 0.36/0.61 (define @t190 () (not @t79)) % 0.36/0.61 (define @t191 () (not @t84)) % 0.36/0.61 (define @t192 () (not @t98)) % 0.36/0.61 (define @t193 () (not @t177)) % 0.36/0.61 (define @t194 () (= tptp.e12 @t73)) % 0.36/0.61 (define @t195 () (= tptp.e13 @t73)) % 0.36/0.61 (define @t196 () (and @t182 @t194 @t195 @t178 @t193)) % 0.36/0.61 (define @t197 () (= tptp.e14 @t67)) % 0.36/0.61 (define @t198 () (= tptp.e13 @t28)) % 0.36/0.61 (define @t199 () (not @t198)) % 0.36/0.61 (define @t200 () (= tptp.e14 @t13)) % 0.36/0.61 (define @t201 () (not @t200)) % 0.36/0.61 (define @t202 () (= tptp.e10 @t12)) % 0.36/0.61 (define @t203 () (not @t202)) % 0.36/0.61 (define @t204 () (= tptp.e14 @t11)) % 0.36/0.61 (define @t205 () (not @t204)) % 0.36/0.61 (define @t206 () (not @t197)) % 0.36/0.61 (define @t207 () (= tptp.e14 @t73)) % 0.36/0.61 (define @t208 () (and @t198 @t195 @t207 @t177 @t206)) % 0.36/0.61 (define @t209 () (= tptp.e22 @t50)) % 0.36/0.61 (define @t210 () (not @t209)) % 0.36/0.61 (define @t211 () (= tptp.e22 @t33)) % 0.36/0.61 (define @t212 () (not @t211)) % 0.36/0.61 (define @t213 () (= tptp.e10 @t9)) % 0.36/0.61 (define @t214 () (not @t213)) % 0.36/0.61 (define @t215 () (= tptp.e12 @t7)) % 0.36/0.61 (define @t216 () (not @t215)) % 0.36/0.61 (define @t217 () (not @t81)) % 0.36/0.61 (define @t218 () (not @t101)) % 0.36/0.61 (define @t219 () (and @t197 @t177 @t2)) % 0.36/0.61 (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)) @t2)) % 0.36/0.61 (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)) @t6 (not (= tptp.e22 tptp.e23)) (not (= tptp.e22 tptp.e24)) @t4)) % 0.36/0.61 (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)))) % 0.36/0.61 (assume @p4 (and (= @t31 tptp.e10) (= @t30 tptp.e11) (= @t29 tptp.e12) (= @t28 tptp.e13) (= @t27 tptp.e14) (= @t26 tptp.e11) (= @t25 tptp.e10) (= @t24 tptp.e14) (= @t23 tptp.e12) (= @t22 tptp.e13) (= @t21 tptp.e12) (= @t20 tptp.e14) (= @t19 tptp.e13) (= @t18 tptp.e10) (= @t17 tptp.e11) (= @t16 tptp.e13) (= @t15 tptp.e12) (= @t14 tptp.e11) (= @t13 tptp.e14) (= @t12 tptp.e10) (= @t11 tptp.e14) (= @t10 tptp.e13) (= @t9 tptp.e10) (= @t8 tptp.e11) (= @t7 tptp.e12))) % 0.36/0.61 (assume @p5 (and (= @t56 tptp.e20) (= @t55 tptp.e21) (= @t54 tptp.e22) (= @t53 tptp.e23) (= @t52 tptp.e24) (= @t51 tptp.e21) (= @t50 tptp.e22) (= @t49 tptp.e23) (= @t48 tptp.e24) (= @t47 tptp.e20) (= @t46 tptp.e22) (= @t45 tptp.e24) (= @t44 tptp.e21) (= @t43 tptp.e20) (= @t42 tptp.e23) (= @t41 tptp.e23) (= @t40 tptp.e20) (= @t39 tptp.e24) (= @t38 tptp.e21) (= @t37 tptp.e22) (= @t36 tptp.e24) (= @t35 tptp.e23) (= @t34 tptp.e20) (= @t33 tptp.e22) (= @t32 tptp.e21))) % 0.36/0.61 (assume @p6 @t150) % 0.36/0.61 (assume @p7 true) % 0.36/0.61 (step @p8 :rule and_elim :premises (@p1) :args (9)) % 0.36/0.61 (step @p9 :rule and_elim :premises (@p4) :args (12)) % 0.36/0.61 (step @p10 :rule symm :premises (@p9)) % 0.36/0.61 (step @p11 :rule and_elim :premises (@p4) :args (20)) % 0.36/0.61 (step @p12 :rule symm :premises (@p11)) % 0.36/0.61 (step @p13 :rule and_elim :premises (@p4) :args (22)) % 0.36/0.61 (step @p14 :rule symm :premises (@p13)) % 0.36/0.61 (step @p15 :rule and_elim :premises (@p4) :args (24)) % 0.36/0.61 (step @p16 :rule symm :premises (@p15)) % 0.36/0.61 (step @p17 :rule and_elim :premises (@p5) :args (6)) % 0.36/0.61 (step @p18 :rule symm :premises (@p17)) % 0.36/0.61 (step @p19 :rule and_elim :premises (@p5) :args (21)) % 0.36/0.61 (step @p20 :rule symm :premises (@p19)) % 0.36/0.61 (step @p21 :rule and_elim :premises (@p5) :args (23)) % 0.36/0.61 (step @p22 :rule symm :premises (@p21)) % 0.36/0.61 (step @p23 :rule and_elim :premises (@p5) :args (24)) % 0.36/0.61 (step @p24 :rule symm :premises (@p23)) % 0.36/0.61 (step @p25 :rule eq-symm :args (@t58 tptp.e14)) % 0.36/0.61 (step @p26 :rule eq-symm :args (@t60 tptp.e13)) % 0.36/0.61 (step @p27 :rule eq-symm :args (@t62 tptp.e12)) % 0.36/0.61 (step @p28 :rule eq-symm :args (@t64 tptp.e11)) % 0.36/0.61 (step @p29 :rule eq-symm :args (@t66 tptp.e10)) % 0.36/0.61 (step @p30 :rule eq-symm :args (@t68 tptp.e24)) % 0.36/0.61 (step @p31 :rule eq-symm :args (@t70 tptp.e23)) % 0.36/0.61 (step @p32 :rule eq-symm :args (@t72 tptp.e22)) % 0.36/0.61 (step @p33 :rule eq-symm :args (@t74 tptp.e21)) % 0.36/0.61 (step @p34 :rule eq-symm :args (@t76 tptp.e20)) % 0.36/0.61 (step @p35 :rule refl :args (@t79)) % 0.36/0.61 (step @p36 :rule refl :args (@t81)) % 0.36/0.61 (step @p37 :rule refl :args (@t82)) % 0.36/0.61 (step @p38 :rule refl :args (@t84)) % 0.36/0.61 (step @p39 :rule refl :args (@t85)) % 0.36/0.61 (step @p40 :rule refl :args (@t86)) % 0.36/0.61 (step @p41 :rule refl :args (@t87)) % 0.36/0.61 (step @p42 :rule refl :args (@t88)) % 0.36/0.61 (step @p43 :rule refl :args (@t89)) % 0.36/0.61 (step @p44 :rule refl :args (@t90)) % 0.36/0.61 (step @p45 :rule refl :args (@t91)) % 0.36/0.61 (step @p46 :rule refl :args (@t92)) % 0.36/0.61 (step @p47 :rule refl :args (@t93)) % 0.36/0.61 (step @p48 :rule refl :args (@t94)) % 0.36/0.61 (step @p49 :rule refl :args (@t95)) % 0.36/0.61 (step @p50 :rule refl :args (@t96)) % 0.36/0.61 (step @p51 :rule refl :args (@t98)) % 0.36/0.61 (step @p52 :rule refl :args (@t99)) % 0.36/0.61 (step @p53 :rule refl :args (@t101)) % 0.36/0.61 (step @p54 :rule refl :args (@t102)) % 0.36/0.61 (step @p55 :rule refl :args (@t103)) % 0.36/0.61 (step @p56 :rule refl :args (@t104)) % 0.36/0.61 (step @p57 :rule refl :args (@t105)) % 0.36/0.61 (step @p58 :rule refl :args (@t106)) % 0.36/0.61 (step @p59 :rule refl :args (@t107)) % 0.36/0.61 (step @p60 :rule refl :args (@t108)) % 0.36/0.61 (step @p61 :rule refl :args (@t109)) % 0.36/0.61 (step @p62 :rule refl :args (@t110)) % 0.36/0.61 (step @p63 :rule refl :args (@t111)) % 0.36/0.61 (step @p64 :rule refl :args (@t112)) % 0.36/0.61 (step @p65 :rule refl :args (@t113)) % 0.36/0.61 (step @p66 :rule refl :args (@t114)) % 0.36/0.61 (step @p67 :rule refl :args (@t115)) % 0.36/0.61 (step @p68 :rule refl :args (@t116)) % 0.36/0.61 (step @p69 :rule refl :args (@t117)) % 0.36/0.61 (step @p70 :rule refl :args (@t118)) % 0.36/0.61 (step @p71 :rule refl :args (@t119)) % 0.36/0.61 (step @p72 :rule refl :args (@t120)) % 0.36/0.61 (step @p73 :rule refl :args (@t121)) % 0.36/0.61 (step @p74 :rule refl :args (@t122)) % 0.36/0.61 (step @p75 :rule refl :args (@t123)) % 0.36/0.61 (step @p76 :rule refl :args (@t124)) % 0.36/0.61 (step @p77 :rule refl :args (@t125)) % 0.36/0.61 (step @p78 :rule refl :args (@t127)) % 0.36/0.61 (step @p79 :rule refl :args (@t129)) % 0.36/0.61 (step @p80 :rule refl :args (@t130)) % 0.36/0.61 (step @p81 :rule refl :args (@t131)) % 0.36/0.61 (step @p82 :rule refl :args (@t132)) % 0.36/0.61 (step @p83 :rule refl :args (@t133)) % 0.36/0.61 (step @p84 :rule refl :args (@t135)) % 0.36/0.61 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @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) :args (@t136)) % 0.36/0.61 (step @p86 :rule cong :premises (@p85) :args (@t137)) % 0.36/0.61 (step @p87 :rule eq-symm :args (@t67 tptp.e14)) % 0.36/0.61 (step @p88 :rule eq-symm :args (@t67 tptp.e13)) % 0.36/0.61 (step @p89 :rule eq-symm :args (@t67 tptp.e12)) % 0.36/0.61 (step @p90 :rule eq-symm :args (@t67 tptp.e11)) % 0.36/0.61 (step @p91 :rule eq-symm :args (@t67 tptp.e10)) % 0.36/0.61 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88 @p87) :args (@t138)) % 0.36/0.61 (step @p93 :rule eq-symm :args (@t69 tptp.e14)) % 0.36/0.61 (step @p94 :rule eq-symm :args (@t69 tptp.e13)) % 0.36/0.61 (step @p95 :rule eq-symm :args (@t69 tptp.e12)) % 0.36/0.61 (step @p96 :rule eq-symm :args (@t69 tptp.e11)) % 0.36/0.61 (step @p97 :rule eq-symm :args (@t69 tptp.e10)) % 0.36/0.61 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95 @p94 @p93) :args (@t139)) % 0.36/0.61 (step @p99 :rule eq-symm :args (@t71 tptp.e14)) % 0.36/0.61 (step @p100 :rule eq-symm :args (@t71 tptp.e13)) % 0.36/0.61 (step @p101 :rule eq-symm :args (@t71 tptp.e12)) % 0.36/0.61 (step @p102 :rule eq-symm :args (@t71 tptp.e11)) % 0.36/0.61 (step @p103 :rule eq-symm :args (@t71 tptp.e10)) % 0.36/0.61 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101 @p100 @p99) :args (@t140)) % 0.36/0.61 (step @p105 :rule eq-symm :args (@t73 tptp.e14)) % 0.36/0.61 (step @p106 :rule eq-symm :args (@t73 tptp.e13)) % 0.36/0.61 (step @p107 :rule eq-symm :args (@t73 tptp.e12)) % 0.36/0.61 (step @p108 :rule eq-symm :args (@t73 tptp.e11)) % 0.36/0.61 (step @p109 :rule eq-symm :args (@t73 tptp.e10)) % 0.36/0.61 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p106 @p105) :args (@t141)) % 0.36/0.61 (step @p111 :rule eq-symm :args (@t75 tptp.e14)) % 0.36/0.61 (step @p112 :rule eq-symm :args (@t75 tptp.e13)) % 0.36/0.61 (step @p113 :rule eq-symm :args (@t75 tptp.e12)) % 0.36/0.61 (step @p114 :rule eq-symm :args (@t75 tptp.e11)) % 0.36/0.61 (step @p115 :rule eq-symm :args (@t75 tptp.e10)) % 0.36/0.61 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111) :args (@t142)) % 0.36/0.61 (step @p117 :rule eq-symm :args (@t57 tptp.e24)) % 0.36/0.61 (step @p118 :rule eq-symm :args (@t57 tptp.e23)) % 0.36/0.61 (step @p119 :rule eq-symm :args (@t57 tptp.e22)) % 0.36/0.61 (step @p120 :rule eq-symm :args (@t57 tptp.e21)) % 0.36/0.61 (step @p121 :rule eq-symm :args (@t57 tptp.e20)) % 0.36/0.61 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118 @p117) :args (@t143)) % 0.36/0.61 (step @p123 :rule eq-symm :args (@t59 tptp.e24)) % 0.36/0.61 (step @p124 :rule eq-symm :args (@t59 tptp.e23)) % 0.36/0.61 (step @p125 :rule eq-symm :args (@t59 tptp.e22)) % 0.36/0.61 (step @p126 :rule eq-symm :args (@t59 tptp.e21)) % 0.36/0.61 (step @p127 :rule eq-symm :args (@t59 tptp.e20)) % 0.36/0.61 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125 @p124 @p123) :args (@t144)) % 0.36/0.61 (step @p129 :rule eq-symm :args (@t61 tptp.e24)) % 0.36/0.61 (step @p130 :rule eq-symm :args (@t61 tptp.e23)) % 0.36/0.61 (step @p131 :rule eq-symm :args (@t61 tptp.e22)) % 0.36/0.61 (step @p132 :rule eq-symm :args (@t61 tptp.e21)) % 0.36/0.61 (step @p133 :rule eq-symm :args (@t61 tptp.e20)) % 0.36/0.61 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130 @p129) :args (@t145)) % 0.36/0.61 (step @p135 :rule eq-symm :args (@t63 tptp.e24)) % 0.36/0.61 (step @p136 :rule eq-symm :args (@t63 tptp.e23)) % 0.36/0.61 (step @p137 :rule eq-symm :args (@t63 tptp.e22)) % 0.36/0.61 (step @p138 :rule eq-symm :args (@t63 tptp.e21)) % 0.36/0.61 (step @p139 :rule eq-symm :args (@t63 tptp.e20)) % 0.36/0.61 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137 @p136 @p135) :args (@t146)) % 0.36/0.61 (step @p141 :rule eq-symm :args (@t65 tptp.e24)) % 0.36/0.61 (step @p142 :rule eq-symm :args (@t65 tptp.e23)) % 0.36/0.61 (step @p143 :rule eq-symm :args (@t65 tptp.e22)) % 0.36/0.61 (step @p144 :rule eq-symm :args (@t65 tptp.e21)) % 0.36/0.61 (step @p145 :rule eq-symm :args (@t65 tptp.e20)) % 0.36/0.61 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142 @p141) :args (@t147)) % 0.36/0.61 (step @p147 :rule nary_cong :premises (@p146 @p140 @p134 @p128 @p122 @p116 @p110 @p104 @p98 @p92) :args (@t148)) % 0.36/0.61 (step @p148 :rule cong :premises (@p147 @p86) :args (@t149)) % 0.36/0.61 (step @p149 :rule cong :premises (@p148) :args (@t150)) % 0.36/0.61 (step @p150 :rule eq_resolve :premises (@p6 @p149)) % 0.36/0.61 (step @p151 :rule not_implies_elim2 :premises (@p150)) % 0.36/0.61 (step @p152 :rule not_not_elim :premises (@p151)) % 0.36/0.61 (step @p153 :rule and_elim :premises (@p152) :args (31)) % 0.36/0.61 (step @p154 :rule and_elim :premises (@p152) :args (46)) % 0.36/0.61 (step @p155 :rule and_elim :premises (@p152) :args (48)) % 0.36/0.61 (step @p156 :rule and_elim :premises (@p152) :args (49)) % 0.36/0.61 (step @p157 :rule and_elim :premises (@p152) :args (54)) % 0.36/0.61 (step @p158 :rule and_elim :premises (@p152) :args (6)) % 0.36/0.61 (step @p159 :rule and_elim :premises (@p152) :args (5)) % 0.36/0.61 (step @p160 :rule and_elim :premises (@p4) :args (6)) % 0.36/0.61 (step @p161 :rule symm :premises (@p160)) % 0.36/0.61 (step @p162 :rule and_elim :premises (@p4) :args (5)) % 0.36/0.61 (step @p163 :rule symm :premises (@p162)) % 0.36/0.61 (step @p164 :rule and_elim :premises (@p2) :args (9)) % 0.36/0.61 (step @p165 :rule refl :args (@t152)) % 0.36/0.61 (step @p166 :rule refl :args (@t154)) % 0.36/0.61 (step @p167 :rule refl :args (@t156)) % 0.36/0.61 (step @p168 :rule refl :args (@t158)) % 0.36/0.61 (step @p169 :rule refl :args (@t160)) % 0.36/0.61 (step @p170 :rule refl :args (@t162)) % 0.36/0.61 (step @p171 :rule refl :args (@t163)) % 0.36/0.61 (step @p172 :rule refl :args (@t164)) % 0.36/0.61 (step @p173 :rule bool-double-not-elim :args 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@p156 @p154 @p339 @p24 @p20 @p338 @p336 @p334 @p10 @p332 @p330 @p328 @p255) :args ((or @t177 @t197) (@list false false false false false false false false false false false true true) (@list @t79 @t84 @t98 @t157 @t155 @t180 @t188 @t186 @t184 @t182 @t178 @t169 @t153))) % 0.36/0.61 (step @p454 :rule and_elim :premises (@p4) :args (3)) % 0.36/0.61 (step @p455 :rule symm :premises (@p454)) % 0.36/0.61 (step @p456 :rule and_elim :premises (@p4) :args (18)) % 0.36/0.61 (step @p457 :rule symm :premises (@p456)) % 0.36/0.61 (step @p458 :rule and_elim :premises (@p4) :args (19)) % 0.36/0.61 (step @p459 :rule symm :premises (@p458)) % 0.36/0.61 (step @p460 :rule bool-double-not-elim :args (@t197)) % 0.36/0.61 (step @p461 :rule refl :args (@t193)) % 0.36/0.61 (step @p462 :rule refl :args (@t199)) % 0.36/0.61 (step @p463 :rule refl :args (@t201)) % 0.36/0.61 (step @p464 :rule refl :args (@t203)) % 0.36/0.61 (step @p465 :rule refl :args (@t205)) % 0.36/0.61 (step @p466 :rule nary_cong :premises (@p349 @p348 @p347 @p465 @p464 @p463 @p462 @p168 @p167 @p342 @p461 @p460) :args ((or @t192 @t191 @t190 @t205 @t203 @t201 @t199 @t158 @t156 @t181 @t193 (not @t206)))) % 0.36/0.61 (assume-push @p803 @t198) % 0.36/0.61 (assume-push @p804 @t195) % 0.36/0.61 (assume-push @p805 @t207) % 0.36/0.61 (assume-push @p806 @t177) % 0.36/0.61 (assume-push @p807 @t206) % 0.36/0.61 (step @p178 :rule evaluate :args (@t167)) % 0.36/0.61 (step @p472 :rule symm :premises (@p806)) % 0.36/0.61 (step @p473 :rule trans :premises (@p472 @p455)) % 0.36/0.61 (step @p474 :rule symm :premises (@p473)) % 0.36/0.61 (step @p475 :rule symm :premises (@p804)) % 0.36/0.61 (step @p476 :rule trans :premises (@p805 @p475)) % 0.36/0.61 (step @p477 :rule trans :premises (@p476 @p455 @p474)) % 0.36/0.61 (step @p478 :rule true_intro :premises (@p477)) % 0.36/0.61 (step @p479 :rule false_intro :premises (@p807)) % 0.36/0.61 (step @p480 :rule symm :premises (@p479)) % 0.36/0.61 (step @p481 :rule trans :premises (@p480 @p478)) % 0.36/0.61 (step @p482 false :rule eq_resolve :premises (@p481 @p178)) % 0.36/0.61 (step-pop @p808 :rule scope :premises (@p482)) % 0.36/0.61 (step-pop @p809 :rule scope :premises (@p808)) % 0.36/0.61 (step-pop @p810 :rule scope :premises (@p809)) % 0.36/0.61 (step-pop @p811 :rule scope :premises (@p810)) % 0.36/0.61 (step-pop @p812 :rule scope :premises (@p811)) % 0.36/0.61 (step @p483 :rule process_scope :premises (@p812) :args (false)) % 0.36/0.61 (assume-push @p813 @t98) % 0.36/0.61 (assume-push @p814 @t84) % 0.36/0.61 (assume-push @p815 @t79) % 0.36/0.61 (assume-push @p816 @t204) % 0.36/0.61 (assume-push @p817 @t202) % 0.36/0.61 (assume-push @p818 @t200) % 0.36/0.61 (assume-push @p819 @t198) % 0.36/0.61 (assume-push @p820 @t157) % 0.36/0.61 (assume-push @p821 @t155) % 0.36/0.61 (assume-push @p822 @t180) % 0.36/0.61 (assume-push @p823 @t177) % 0.36/0.61 (assume-push @p824 @t206) % 0.36/0.61 (assume-push @p825 @t157) % 0.36/0.61 (assume-push @p826 @t79) % 0.36/0.61 (assume-push @p827 @t177) % 0.36/0.61 (assume-push @p828 @t200) % 0.36/0.61 (step @p389 :rule cong :premises (@p23) :args (@t78)) % 0.36/0.61 (step @p390 :rule symm :premises (@p156)) % 0.36/0.61 (step @p505 :rule cong :premises (@p823 @p823) :args (@t13)) % 0.36/0.61 (step @p506 :rule trans :premises (@p457 @p505 @p390 @p389)) % 0.36/0.61 (step-pop @p829 :rule scope :premises (@p506)) % 0.36/0.61 (step-pop @p830 :rule scope :premises (@p829)) % 0.36/0.61 (step-pop @p831 :rule scope :premises (@p830)) % 0.36/0.61 (step-pop @p832 :rule scope :premises (@p831)) % 0.36/0.61 (step @p507 :rule process_scope :premises (@p832) :args (@t207)) % 0.36/0.61 (step @p512 :rule and_intro :premises (@p24 @p156 @p823 @p457)) % 0.36/0.61 (step @p513 :rule modus_ponens :premises (@p512 @p507)) % 0.36/0.61 (assume-push @p833 @t157) % 0.36/0.61 (assume-push @p834 @t79) % 0.36/0.61 (assume-push @p835 @t177) % 0.36/0.61 (assume-push @p836 @t200) % 0.36/0.61 (assume-push @p837 @t204) % 0.36/0.61 (assume-push @p838 @t202) % 0.36/0.61 (assume-push @p839 @t84) % 0.36/0.61 (assume-push @p840 @t155) % 0.36/0.61 (assume-push @p841 @t98) % 0.36/0.61 (assume-push @p842 @t180) % 0.36/0.61 (step @p389 :rule cong :premises (@p23) :args (@t78)) % 0.36/0.61 (step @p390 :rule symm :premises (@p156)) % 0.36/0.61 (step @p524 :rule cong :premises (@p823 @p823) :args (@t13)) % 0.36/0.61 (step @p525 :rule symm :premises (@p524)) % 0.36/0.61 (step @p412 :rule symm :premises (@p389)) % 0.36/0.61 (step @p526 :rule trans :premises (@p412 @p156 @p525 @p456)) % 0.36/0.61 (step @p527 :rule symm :premises (@p823)) % 0.36/0.61 (step @p528 :rule cong :premises (@p527 @p526) :args (@t83)) % 0.36/0.61 (step @p416 :rule cong :premises (@p20) :args (@t69)) % 0.36/0.61 (step @p529 :rule trans :premises (@p416 @p154 @p528 @p458)) % 0.36/0.61 (step @p530 :rule cong :premises (@p526 @p529) :args (@t97)) % 0.36/0.61 (step @p419 :rule cong :premises (@p338) :args (@t67)) % 0.36/0.61 (step @p531 :rule trans :premises (@p823 @p419 @p339 @p530 @p11 @p457 @p524 @p390 @p389)) % 0.36/0.61 (step-pop @p843 :rule scope :premises (@p531)) % 0.36/0.61 (step-pop @p844 :rule scope :premises (@p843)) % 0.36/0.61 (step-pop @p845 :rule scope :premises (@p844)) % 0.36/0.61 (step-pop @p846 :rule scope :premises (@p845)) % 0.36/0.61 (step-pop @p847 :rule scope :premises (@p846)) % 0.36/0.61 (step-pop @p848 :rule scope :premises (@p847)) % 0.36/0.61 (step-pop @p849 :rule scope :premises (@p848)) % 0.36/0.61 (step-pop @p850 :rule scope :premises (@p849)) % 0.36/0.61 (step-pop @p851 :rule scope :premises (@p850)) % 0.36/0.61 (step-pop @p852 :rule scope :premises (@p851)) % 0.36/0.61 (step @p532 :rule process_scope :premises (@p852) :args (@t195)) % 0.36/0.61 (step @p543 :rule and_intro :premises (@p24 @p156 @p823 @p457 @p12 @p459 @p154 @p20 @p339 @p338)) % 0.36/0.61 (step @p544 :rule modus_ponens :premises (@p543 @p532)) % 0.36/0.61 (step @p545 :rule and_intro :premises (@p455 @p544 @p513 @p823 @p824)) % 0.36/0.61 (step-pop @p853 :rule scope :premises (@p545)) % 0.36/0.61 (step-pop @p854 :rule scope :premises (@p853)) % 0.36/0.61 (step-pop @p855 :rule scope :premises (@p854)) % 0.36/0.61 (step-pop @p856 :rule scope :premises (@p855)) % 0.36/0.62 (step-pop @p857 :rule scope :premises (@p856)) % 0.36/0.62 (step-pop @p858 :rule scope :premises (@p857)) % 0.36/0.62 (step-pop @p859 :rule scope :premises (@p858)) % 0.36/0.62 (step-pop @p860 :rule scope :premises (@p859)) % 0.36/0.62 (step-pop @p861 :rule scope :premises (@p860)) % 0.36/0.62 (step-pop @p862 :rule scope :premises (@p861)) % 0.36/0.62 (step-pop @p863 :rule scope :premises (@p862)) % 0.36/0.62 (step-pop @p864 :rule scope :premises (@p863)) % 0.36/0.62 (step @p546 :rule process_scope :premises (@p864) :args (@t208)) % 0.36/0.62 (step @p559 :rule implies_elim :premises (@p546)) % 0.36/0.62 (step @p560 :rule resolution :premises (@p559 @p483) :args (true @t208)) % 0.36/0.62 (step @p561 :rule not_and :premises (@p560)) % 0.36/0.62 (step @p562 :rule eq_resolve :premises (@p561 @p466)) % 0.36/0.62 (step @p563 :rule reordering :premises (@p562) :args ((or @t197 @t199 @t201 @t203 @t205 @t181 @t156 @t158 @t193 @t192 @t191 @t190))) % 0.36/0.62 (step @p564 :rule chain_m_resolution :premises (@p563 @p156 @p154 @p339 @p24 @p20 @p338 @p12 @p459 @p457 @p455 @p453) :args (@t197 (@list false false false false false false false false false false false) (@list @t79 @t84 @t98 @t157 @t155 @t180 @t204 @t202 @t200 @t198 @t177))) % 0.36/0.62 (step @p565 :rule refl :args (@t206)) % 0.36/0.62 (step @p566 :rule refl :args (@t210)) % 0.36/0.62 (step @p567 :rule refl :args (@t212)) % 0.36/0.62 (step @p568 :rule refl :args (@t214)) % 0.36/0.62 (step @p569 :rule refl :args (@t216)) % 0.36/0.62 (step @p570 :rule refl :args (@t217)) % 0.36/0.62 (step @p571 :rule refl :args (@t218)) % 0.36/0.62 (step @p572 :rule bool-double-not-elim :args (@t1)) % 0.36/0.62 (step @p573 :rule nary_cong :premises (@p572 @p571 @p348 @p570 @p347 @p569 @p568 @p465 @p344 @p168 @p567 @p167 @p566 @p565) :args ((or (not @t2) @t218 @t191 @t217 @t190 @t216 @t214 @t205 @t185 @t158 @t212 @t156 @t210 @t206))) % 0.36/0.62 (assume-push @p865 @t197) % 0.36/0.62 (assume-push @p866 @t177) % 0.36/0.62 (assume-push @p867 @t2) % 0.36/0.62 (step @p178 :rule evaluate :args (@t167)) % 0.36/0.62 (step @p577 :rule symm :premises (@p865)) % 0.36/0.62 (step @p578 :rule trans :premises (@p866 @p577)) % 0.36/0.62 (step @p579 :rule true_intro :premises (@p578)) % 0.36/0.62 (step @p580 :rule false_intro :premises (@p8)) % 0.36/0.62 (step @p581 :rule symm :premises (@p580)) % 0.36/0.62 (step @p582 :rule trans :premises (@p581 @p579)) % 0.36/0.62 (step @p583 false :rule eq_resolve :premises (@p582 @p178)) % 0.36/0.62 (step-pop @p868 :rule scope :premises (@p583)) % 0.36/0.62 (step-pop @p869 :rule scope :premises (@p868)) % 0.36/0.62 (step-pop @p870 :rule scope :premises (@p869)) % 0.36/0.62 (step @p584 :rule process_scope :premises (@p870) :args (false)) % 0.36/0.62 (assume-push @p871 @t2) % 0.36/0.62 (assume-push @p872 @t101) % 0.36/0.62 (assume-push @p873 @t84) % 0.36/0.62 (assume-push @p874 @t81) % 0.36/0.62 (assume-push @p875 @t79) % 0.36/0.62 (assume-push @p876 @t215) % 0.36/0.62 (assume-push @p877 @t213) % 0.36/0.62 (assume-push @p878 @t204) % 0.36/0.62 (assume-push @p879 @t184) % 0.36/0.62 (assume-push @p880 @t157) % 0.36/0.62 (assume-push @p881 @t211) % 0.36/0.62 (assume-push @p882 @t155) % 0.36/0.62 (assume-push @p883 @t209) % 0.36/0.62 (assume-push @p884 @t197) % 0.36/0.62 (assume-push @p885 @t197) % 0.36/0.62 (assume-push @p886 @t204) % 0.36/0.62 (assume-push @p887 @t213) % 0.36/0.62 (assume-push @p888 @t215) % 0.36/0.62 (assume-push @p889 @t79) % 0.36/0.62 (assume-push @p890 @t157) % 0.36/0.62 (assume-push @p891 @t84) % 0.36/0.62 (assume-push @p892 @t155) % 0.36/0.62 (assume-push @p893 @t81) % 0.36/0.62 (assume-push @p894 @t211) % 0.36/0.62 (assume-push @p895 @t209) % 0.36/0.62 (assume-push @p896 @t101) % 0.36/0.62 (assume-push @p897 @t184) % 0.36/0.62 (step @p615 :rule symm :premises (@p884)) % 0.36/0.62 (step @p616 :rule cong :premises (@p615 @p615) :args (@t77)) % 0.36/0.62 (step @p389 :rule cong :premises (@p23) :args (@t78)) % 0.36/0.62 (step @p412 :rule symm :premises (@p389)) % 0.36/0.62 (step @p617 :rule trans :premises (@p412 @p156 @p616 @p15)) % 0.36/0.62 (step @p618 :rule cong :premises (@p615 @p617) :args (@t83)) % 0.36/0.62 (step @p416 :rule cong :premises (@p20) :args (@t69)) % 0.36/0.62 (step @p619 :rule trans :premises (@p416 @p154 @p618 @p13)) % 0.36/0.62 (step @p620 :rule cong :premises (@p615 @p619) :args (@t80)) % 0.36/0.62 (step @p621 :rule cong :premises (@p22) :args (@t71)) % 0.36/0.62 (step @p622 :rule cong :premises (@p17) :args (@t100)) % 0.36/0.62 (step @p623 :rule symm :premises (@p153)) % 0.36/0.62 (step @p624 :rule symm :premises (@p617)) % 0.36/0.62 (step @p625 :rule cong :premises (@p624 @p624) :args (@t19)) % 0.36/0.62 (step @p626 :rule trans :premises (@p10 @p625 @p623 @p622 @p621 @p155 @p620 @p11 @p884)) % 0.36/0.62 (step-pop @p898 :rule scope :premises (@p626)) % 0.36/0.62 (step-pop @p899 :rule scope :premises (@p898)) % 0.36/0.62 (step-pop @p900 :rule scope :premises (@p899)) % 0.36/0.62 (step-pop @p901 :rule scope :premises (@p900)) % 0.36/0.62 (step-pop @p902 :rule scope :premises (@p901)) % 0.36/0.62 (step-pop @p903 :rule scope :premises (@p902)) % 0.36/0.62 (step-pop @p904 :rule scope :premises (@p903)) % 0.36/0.62 (step-pop @p905 :rule scope :premises (@p904)) % 0.36/0.62 (step-pop @p906 :rule scope :premises (@p905)) % 0.36/0.62 (step-pop @p907 :rule scope :premises (@p906)) % 0.36/0.62 (step-pop @p908 :rule scope :premises (@p907)) % 0.36/0.62 (step-pop @p909 :rule scope :premises (@p908)) % 0.36/0.62 (step-pop @p910 :rule scope :premises (@p909)) % 0.36/0.62 (step @p627 :rule process_scope :premises (@p910) :args (@t177)) % 0.36/0.62 (step @p641 :rule and_intro :premises (@p884 @p12 @p14 @p16 @p156 @p24 @p154 @p20 @p155 @p22 @p18 @p153 @p10)) % 0.36/0.62 (step @p642 :rule modus_ponens :premises (@p641 @p627)) % 0.36/0.62 (step @p643 :rule and_intro :premises (@p884 @p642 @p8)) % 0.36/0.62 (step-pop @p911 :rule scope :premises (@p643)) % 0.36/0.62 (step-pop @p912 :rule scope :premises (@p911)) % 0.36/0.62 (step-pop @p913 :rule scope :premises (@p912)) % 0.36/0.62 (step-pop @p914 :rule scope :premises (@p913)) % 0.36/0.62 (step-pop @p915 :rule scope :premises (@p914)) % 0.36/0.62 (step-pop @p916 :rule scope :premises (@p915)) % 0.36/0.62 (step-pop @p917 :rule scope :premises (@p916)) % 0.36/0.62 (step-pop @p918 :rule scope :premises (@p917)) % 0.36/0.62 (step-pop @p919 :rule scope :premises (@p918)) % 0.36/0.62 (step-pop @p920 :rule scope :premises (@p919)) % 0.36/0.62 (step-pop @p921 :rule scope :premises (@p920)) % 0.36/0.62 (step-pop @p922 :rule scope :premises (@p921)) % 0.36/0.62 (step-pop @p923 :rule scope :premises (@p922)) % 0.36/0.62 (step-pop @p924 :rule scope :premises (@p923)) % 0.36/0.62 (step @p644 :rule process_scope :premises (@p924) :args (@t219)) % 0.36/0.62 (step @p659 :rule implies_elim :premises (@p644)) % 0.36/0.62 (step @p660 :rule resolution :premises (@p659 @p584) :args (true @t219)) % 0.36/0.62 (step @p661 :rule not_and :premises (@p660)) % 0.36/0.62 (step @p662 :rule eq_resolve :premises (@p661 @p573)) % 0.36/0.62 (step @p663 :rule reordering :premises (@p662) :args ((or @t1 @t185 @t205 @t214 @t216 @t210 @t156 @t212 @t158 @t206 @t218 @t191 @t217 @t190))) % 0.36/0.62 (step @p664 false :rule chain_m_resolution :premises (@p663 @p564 @p156 @p155 @p154 @p153 @p24 @p22 @p20 @p18 @p16 @p14 @p12 @p10 @p8) :args (false (@list false false false false false false false false false false false false false true) (@list @t197 @t79 @t81 @t84 @t101 @t157 @t211 @t155 @t209 @t215 @t213 @t204 @t184 @t1))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------