%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG086+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 : n013.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 0.40s 0.61s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : ALG086+1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:39:15 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.61 % SZS status Theorem % 0.40/0.61 % SZS output start Proof % 0.40/0.61 ( % 0.40/0.61 (declare-sort $$unsorted 0) % 0.40/0.61 (declare-const tptp.e13 $$unsorted) % 0.40/0.61 (declare-const tptp.e12 $$unsorted) % 0.40/0.61 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.e11 $$unsorted) % 0.40/0.61 (declare-const tptp.e10 $$unsorted) % 0.40/0.61 (declare-const tptp.e24 $$unsorted) % 0.40/0.61 (declare-const tptp.e23 $$unsorted) % 0.40/0.61 (declare-const tptp.e22 $$unsorted) % 0.40/0.61 (declare-const tptp.e21 $$unsorted) % 0.40/0.61 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.e14 $$unsorted) % 0.40/0.61 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.e20 $$unsorted) % 0.40/0.61 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.40/0.61 (define @t1 () (= tptp.e20 tptp.e24)) % 0.40/0.61 (define @t2 () (not @t1)) % 0.40/0.61 (define @t3 () (= tptp.e20 tptp.e23)) % 0.40/0.61 (define @t4 () (not @t3)) % 0.40/0.61 (define @t5 () (tptp.op1 tptp.e14 tptp.e14)) % 0.40/0.61 (define @t6 () (tptp.op1 tptp.e14 tptp.e13)) % 0.40/0.61 (define @t7 () (tptp.op1 tptp.e14 tptp.e12)) % 0.40/0.61 (define @t8 () (tptp.op1 tptp.e14 tptp.e11)) % 0.40/0.61 (define @t9 () (tptp.op1 tptp.e14 tptp.e10)) % 0.40/0.61 (define @t10 () (tptp.op1 tptp.e13 tptp.e14)) % 0.40/0.61 (define @t11 () (tptp.op1 tptp.e13 tptp.e13)) % 0.40/0.61 (define @t12 () (tptp.op1 tptp.e13 tptp.e12)) % 0.40/0.61 (define @t13 () (tptp.op1 tptp.e13 tptp.e11)) % 0.40/0.61 (define @t14 () (tptp.op1 tptp.e13 tptp.e10)) % 0.40/0.61 (define @t15 () (tptp.op1 tptp.e12 tptp.e14)) % 0.40/0.61 (define @t16 () (tptp.op1 tptp.e12 tptp.e13)) % 0.40/0.61 (define @t17 () (tptp.op1 tptp.e12 tptp.e12)) % 0.40/0.61 (define @t18 () (tptp.op1 tptp.e12 tptp.e11)) % 0.40/0.61 (define @t19 () (tptp.op1 tptp.e12 tptp.e10)) % 0.40/0.61 (define @t20 () (tptp.op1 tptp.e11 tptp.e14)) % 0.40/0.61 (define @t21 () (tptp.op1 tptp.e11 tptp.e13)) % 0.40/0.61 (define @t22 () (tptp.op1 tptp.e11 tptp.e12)) % 0.40/0.61 (define @t23 () (tptp.op1 tptp.e11 tptp.e11)) % 0.40/0.61 (define @t24 () (tptp.op1 tptp.e11 tptp.e10)) % 0.40/0.61 (define @t25 () (tptp.op1 tptp.e10 tptp.e14)) % 0.40/0.61 (define @t26 () (tptp.op1 tptp.e10 tptp.e13)) % 0.40/0.61 (define @t27 () (tptp.op1 tptp.e10 tptp.e12)) % 0.40/0.61 (define @t28 () (tptp.op1 tptp.e10 tptp.e11)) % 0.40/0.61 (define @t29 () (tptp.op1 tptp.e10 tptp.e10)) % 0.40/0.61 (define @t30 () (tptp.op2 tptp.e24 tptp.e24)) % 0.40/0.61 (define @t31 () (tptp.op2 tptp.e24 tptp.e23)) % 0.40/0.61 (define @t32 () (tptp.op2 tptp.e24 tptp.e22)) % 0.40/0.61 (define @t33 () (tptp.op2 tptp.e24 tptp.e21)) % 0.40/0.61 (define @t34 () (tptp.op2 tptp.e24 tptp.e20)) % 0.40/0.61 (define @t35 () (tptp.op2 tptp.e23 tptp.e24)) % 0.40/0.61 (define @t36 () (tptp.op2 tptp.e23 tptp.e23)) % 0.40/0.61 (define @t37 () (tptp.op2 tptp.e23 tptp.e22)) % 0.40/0.61 (define @t38 () (tptp.op2 tptp.e23 tptp.e21)) % 0.40/0.61 (define @t39 () (tptp.op2 tptp.e23 tptp.e20)) % 0.40/0.61 (define @t40 () (tptp.op2 tptp.e22 tptp.e24)) % 0.40/0.61 (define @t41 () (tptp.op2 tptp.e22 tptp.e23)) % 0.40/0.61 (define @t42 () (tptp.op2 tptp.e22 tptp.e22)) % 0.40/0.61 (define @t43 () (tptp.op2 tptp.e22 tptp.e21)) % 0.40/0.61 (define @t44 () (tptp.op2 tptp.e22 tptp.e20)) % 0.40/0.61 (define @t45 () (tptp.op2 tptp.e21 tptp.e24)) % 0.40/0.61 (define @t46 () (tptp.op2 tptp.e21 tptp.e23)) % 0.40/0.61 (define @t47 () (tptp.op2 tptp.e21 tptp.e22)) % 0.40/0.61 (define @t48 () (tptp.op2 tptp.e21 tptp.e21)) % 0.40/0.61 (define @t49 () (tptp.op2 tptp.e21 tptp.e20)) % 0.40/0.61 (define @t50 () (tptp.op2 tptp.e20 tptp.e24)) % 0.40/0.61 (define @t51 () (tptp.op2 tptp.e20 tptp.e23)) % 0.40/0.61 (define @t52 () (tptp.op2 tptp.e20 tptp.e22)) % 0.40/0.61 (define @t53 () (tptp.op2 tptp.e20 tptp.e21)) % 0.40/0.61 (define @t54 () (tptp.op2 tptp.e20 tptp.e20)) % 0.40/0.61 (define @t55 () (tptp.h tptp.e14)) % 0.40/0.61 (define @t56 () (tptp.j @t55)) % 0.40/0.61 (define @t57 () (tptp.h tptp.e13)) % 0.40/0.61 (define @t58 () (tptp.j @t57)) % 0.40/0.61 (define @t59 () (tptp.h tptp.e12)) % 0.40/0.61 (define @t60 () (tptp.j @t59)) % 0.40/0.61 (define @t61 () (tptp.h tptp.e11)) % 0.40/0.61 (define @t62 () (tptp.j @t61)) % 0.40/0.61 (define @t63 () (tptp.h tptp.e10)) % 0.40/0.61 (define @t64 () (tptp.j @t63)) % 0.40/0.61 (define @t65 () (tptp.j tptp.e24)) % 0.40/0.61 (define @t66 () (tptp.h @t65)) % 0.40/0.61 (define @t67 () (tptp.j tptp.e23)) % 0.40/0.61 (define @t68 () (tptp.h @t67)) % 0.40/0.61 (define @t69 () (tptp.j tptp.e22)) % 0.40/0.61 (define @t70 () (tptp.h @t69)) % 0.40/0.61 (define @t71 () (tptp.j tptp.e21)) % 0.40/0.61 (define @t72 () (tptp.h @t71)) % 0.40/0.61 (define @t73 () (tptp.j tptp.e20)) % 0.40/0.61 (define @t74 () (tptp.h @t73)) % 0.40/0.61 (define @t75 () (= (tptp.j @t30) (tptp.op1 @t65 @t65))) % 0.40/0.61 (define @t76 () (= (tptp.j @t31) (tptp.op1 @t65 @t67))) % 0.40/0.61 (define @t77 () (= (tptp.j @t32) (tptp.op1 @t65 @t69))) % 0.40/0.61 (define @t78 () (= (tptp.j @t33) (tptp.op1 @t65 @t71))) % 0.40/0.61 (define @t79 () (= (tptp.j @t34) (tptp.op1 @t65 @t73))) % 0.40/0.61 (define @t80 () (= (tptp.j @t35) (tptp.op1 @t67 @t65))) % 0.40/0.61 (define @t81 () (tptp.j @t36)) % 0.40/0.61 (define @t82 () (= @t81 (tptp.op1 @t67 @t67))) % 0.40/0.61 (define @t83 () (= (tptp.j @t37) (tptp.op1 @t67 @t69))) % 0.40/0.61 (define @t84 () (= (tptp.j @t38) (tptp.op1 @t67 @t71))) % 0.40/0.61 (define @t85 () (= (tptp.j @t39) (tptp.op1 @t67 @t73))) % 0.40/0.61 (define @t86 () (= (tptp.j @t40) (tptp.op1 @t69 @t65))) % 0.40/0.61 (define @t87 () (= (tptp.j @t41) (tptp.op1 @t69 @t67))) % 0.40/0.61 (define @t88 () (= (tptp.j @t42) (tptp.op1 @t69 @t69))) % 0.40/0.61 (define @t89 () (= (tptp.j @t43) (tptp.op1 @t69 @t71))) % 0.40/0.61 (define @t90 () (= (tptp.j @t44) (tptp.op1 @t69 @t73))) % 0.40/0.61 (define @t91 () (= (tptp.j @t45) (tptp.op1 @t71 @t65))) % 0.40/0.61 (define @t92 () (= (tptp.j @t46) (tptp.op1 @t71 @t67))) % 0.40/0.61 (define @t93 () (= (tptp.j @t47) (tptp.op1 @t71 @t69))) % 0.40/0.61 (define @t94 () (= (tptp.j @t48) (tptp.op1 @t71 @t71))) % 0.40/0.61 (define @t95 () (= (tptp.j @t49) (tptp.op1 @t71 @t73))) % 0.40/0.61 (define @t96 () (= (tptp.j @t50) (tptp.op1 @t73 @t65))) % 0.40/0.61 (define @t97 () (= (tptp.j @t51) (tptp.op1 @t73 @t67))) % 0.40/0.61 (define @t98 () (= (tptp.j @t52) (tptp.op1 @t73 @t69))) % 0.40/0.61 (define @t99 () (= (tptp.j @t53) (tptp.op1 @t73 @t71))) % 0.40/0.61 (define @t100 () (= (tptp.j @t54) (tptp.op1 @t73 @t73))) % 0.40/0.61 (define @t101 () (tptp.h @t5)) % 0.40/0.61 (define @t102 () (= @t101 (tptp.op2 @t55 @t55))) % 0.40/0.61 (define @t103 () (= (tptp.h @t6) (tptp.op2 @t55 @t57))) % 0.40/0.61 (define @t104 () (= (tptp.h @t7) (tptp.op2 @t55 @t59))) % 0.40/0.61 (define @t105 () (= (tptp.h @t8) (tptp.op2 @t55 @t61))) % 0.40/0.61 (define @t106 () (= (tptp.h @t9) (tptp.op2 @t55 @t63))) % 0.40/0.61 (define @t107 () (= (tptp.h @t10) (tptp.op2 @t57 @t55))) % 0.40/0.61 (define @t108 () (tptp.h @t11)) % 0.40/0.61 (define @t109 () (= @t108 (tptp.op2 @t57 @t57))) % 0.40/0.61 (define @t110 () (= (tptp.h @t12) (tptp.op2 @t57 @t59))) % 0.40/0.61 (define @t111 () (= (tptp.h @t13) (tptp.op2 @t57 @t61))) % 0.40/0.61 (define @t112 () (= (tptp.h @t14) (tptp.op2 @t57 @t63))) % 0.40/0.61 (define @t113 () (= (tptp.h @t15) (tptp.op2 @t59 @t55))) % 0.40/0.61 (define @t114 () (= (tptp.h @t16) (tptp.op2 @t59 @t57))) % 0.40/0.61 (define @t115 () (tptp.h @t17)) % 0.40/0.61 (define @t116 () (= @t115 (tptp.op2 @t59 @t59))) % 0.40/0.61 (define @t117 () (= (tptp.h @t18) (tptp.op2 @t59 @t61))) % 0.40/0.61 (define @t118 () (= (tptp.h @t19) (tptp.op2 @t59 @t63))) % 0.40/0.61 (define @t119 () (= (tptp.h @t20) (tptp.op2 @t61 @t55))) % 0.40/0.61 (define @t120 () (= (tptp.h @t21) (tptp.op2 @t61 @t57))) % 0.40/0.61 (define @t121 () (= (tptp.h @t22) (tptp.op2 @t61 @t59))) % 0.40/0.61 (define @t122 () (tptp.h @t23)) % 0.40/0.61 (define @t123 () (= @t122 (tptp.op2 @t61 @t61))) % 0.40/0.61 (define @t124 () (= (tptp.h @t24) (tptp.op2 @t61 @t63))) % 0.40/0.61 (define @t125 () (= (tptp.h @t25) (tptp.op2 @t63 @t55))) % 0.40/0.61 (define @t126 () (= (tptp.h @t26) (tptp.op2 @t63 @t57))) % 0.40/0.61 (define @t127 () (= (tptp.h @t27) (tptp.op2 @t63 @t59))) % 0.40/0.61 (define @t128 () (= (tptp.h @t28) (tptp.op2 @t63 @t61))) % 0.40/0.61 (define @t129 () (tptp.h @t29)) % 0.40/0.61 (define @t130 () (= @t129 (tptp.op2 @t63 @t63))) % 0.40/0.61 (define @t131 () (and @t130 @t128 @t127 @t126 @t125 @t124 @t123 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t113 @t112 @t111 @t110 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t83 @t82 @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))) % 0.40/0.61 (define @t132 () (not @t131)) % 0.40/0.61 (define @t133 () (or (= @t65 tptp.e10) (= @t65 tptp.e11) (= @t65 tptp.e12) (= @t65 tptp.e13) (= @t65 tptp.e14))) % 0.40/0.61 (define @t134 () (or (= @t67 tptp.e10) (= @t67 tptp.e11) (= @t67 tptp.e12) (= @t67 tptp.e13) (= @t67 tptp.e14))) % 0.40/0.61 (define @t135 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14))) % 0.40/0.61 (define @t136 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14))) % 0.40/0.61 (define @t137 () (or (= @t73 tptp.e10) (= @t73 tptp.e11) (= @t73 tptp.e12) (= @t73 tptp.e13) (= @t73 tptp.e14))) % 0.40/0.61 (define @t138 () (or (= @t55 tptp.e20) (= @t55 tptp.e21) (= @t55 tptp.e22) (= @t55 tptp.e23) (= @t55 tptp.e24))) % 0.40/0.61 (define @t139 () (or (= @t57 tptp.e20) (= @t57 tptp.e21) (= @t57 tptp.e22) (= @t57 tptp.e23) (= @t57 tptp.e24))) % 0.40/0.61 (define @t140 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24))) % 0.40/0.61 (define @t141 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24))) % 0.40/0.61 (define @t142 () (or (= @t63 tptp.e20) (= @t63 tptp.e21) (= @t63 tptp.e22) (= @t63 tptp.e23) (= @t63 tptp.e24))) % 0.40/0.61 (define @t143 () (and @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t133)) % 0.40/0.61 (define @t144 () (=> @t143 @t132)) % 0.40/0.61 (define @t145 () (not @t144)) % 0.40/0.61 (define @t146 () (= tptp.e10 @t29)) % 0.40/0.61 (define @t147 () (= tptp.e20 @t30)) % 0.40/0.61 (define @t148 () (= tptp.e10 @t65)) % 0.40/0.61 (define @t149 () (= tptp.e24 @t66)) % 0.40/0.61 (define @t150 () (= tptp.e20 @t63)) % 0.40/0.61 (define @t151 () (and @t130 @t146 @t147 @t148 @t149)) % 0.40/0.61 (define @t152 () (not @t149)) % 0.40/0.61 (define @t153 () (not @t148)) % 0.40/0.61 (define @t154 () (not @t147)) % 0.40/0.61 (define @t155 () (= tptp.e10 @t23)) % 0.40/0.61 (define @t156 () (= tptp.e11 @t65)) % 0.40/0.61 (define @t157 () (and @t123 @t155 @t147 @t156 @t149)) % 0.40/0.61 (define @t158 () (not @t155)) % 0.40/0.61 (define @t159 () (= tptp.e10 @t17)) % 0.40/0.61 (define @t160 () (= tptp.e12 @t65)) % 0.40/0.61 (define @t161 () (and @t116 @t159 @t147 @t160 @t149)) % 0.40/0.61 (define @t162 () (not @t159)) % 0.40/0.61 (define @t163 () (= tptp.e10 @t11)) % 0.40/0.61 (define @t164 () (= tptp.e13 @t65)) % 0.40/0.61 (define @t165 () (and @t109 @t163 @t147 @t164 @t149)) % 0.40/0.61 (define @t166 () (not @t163)) % 0.40/0.61 (define @t167 () (= tptp.e10 @t5)) % 0.40/0.61 (define @t168 () (= tptp.e14 @t65)) % 0.40/0.61 (define @t169 () (and @t102 @t167 @t147 @t168 @t149)) % 0.40/0.61 (define @t170 () (not @t167)) % 0.40/0.61 (define @t171 () (= tptp.e24 @t36)) % 0.40/0.61 (define @t172 () (= tptp.e11 @t67)) % 0.40/0.61 (define @t173 () (and @t82 @t155 @t171 @t172)) % 0.40/0.61 (define @t174 () (not @t82)) % 0.40/0.61 (define @t175 () (not @t171)) % 0.40/0.61 (define @t176 () (= tptp.e12 @t67)) % 0.40/0.61 (define @t177 () (and @t82 @t159 @t171 @t176)) % 0.40/0.61 (define @t178 () (= tptp.e13 @t67)) % 0.40/0.61 (define @t179 () (and @t82 @t163 @t171 @t178)) % 0.40/0.61 (define @t180 () (= tptp.e10 @t64)) % 0.40/0.61 (define @t181 () (not @t180)) % 0.40/0.61 (define @t182 () (= tptp.e23 @t68)) % 0.40/0.61 (define @t183 () (not @t182)) % 0.40/0.61 (define @t184 () (= tptp.e20 @t74)) % 0.40/0.61 (define @t185 () (not @t184)) % 0.40/0.61 (define @t186 () (= tptp.e10 @t67)) % 0.40/0.61 (define @t187 () (not @t186)) % 0.40/0.61 (define @t188 () (not @t150)) % 0.40/0.61 (define @t189 () (= tptp.e20 @t54)) % 0.40/0.61 (define @t190 () (not @t189)) % 0.40/0.61 (define @t191 () (= tptp.e23 @t63)) % 0.40/0.61 (define @t192 () (= false true)) % 0.40/0.61 (define @t193 () (and @t189 @t150 @t191 @t4)) % 0.40/0.61 (define @t194 () (= tptp.e14 @t67)) % 0.40/0.61 (define @t195 () (and @t82 @t167 @t171 @t194)) % 0.40/0.61 (define @t196 () (= tptp.e24 @t63)) % 0.40/0.61 (define @t197 () (and @t189 @t150 @t196 @t2)) % 0.40/0.61 (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)) (not (= tptp.e13 tptp.e14)))) % 0.40/0.61 (assume @p2 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) @t4 @t2 (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)))) % 0.40/0.61 (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)))) % 0.40/0.61 (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))) % 0.40/0.61 (assume @p5 (and (= @t54 tptp.e20) (= @t53 tptp.e21) (= @t52 tptp.e22) (= @t51 tptp.e23) (= @t50 tptp.e24) (= @t49 tptp.e21) (= @t48 tptp.e24) (= @t47 tptp.e23) (= @t46 tptp.e20) (= @t45 tptp.e22) (= @t44 tptp.e22) (= @t43 tptp.e20) (= @t42 tptp.e24) (= @t41 tptp.e21) (= @t40 tptp.e23) (= @t39 tptp.e23) (= @t38 tptp.e22) (= @t37 tptp.e20) (= @t36 tptp.e24) (= @t35 tptp.e21) (= @t34 tptp.e24) (= @t33 tptp.e23) (= @t32 tptp.e21) (= @t31 tptp.e22) (= @t30 tptp.e20))) % 0.40/0.61 (assume @p6 @t145) % 0.40/0.61 (assume @p7 true) % 0.40/0.61 (step @p8 :rule and_elim :premises (@p2) :args (3)) % 0.40/0.61 (step @p9 :rule and_elim :premises (@p5) :args (0)) % 0.40/0.61 (step @p10 :rule symm :premises (@p9)) % 0.40/0.61 (step @p11 :rule eq-symm :args (@t56 tptp.e14)) % 0.40/0.61 (step @p12 :rule eq-symm :args (@t58 tptp.e13)) % 0.40/0.61 (step @p13 :rule eq-symm :args (@t60 tptp.e12)) % 0.40/0.61 (step @p14 :rule eq-symm :args (@t62 tptp.e11)) % 0.40/0.61 (step @p15 :rule eq-symm :args (@t64 tptp.e10)) % 0.40/0.61 (step @p16 :rule eq-symm :args (@t66 tptp.e24)) % 0.40/0.61 (step @p17 :rule eq-symm :args (@t68 tptp.e23)) % 0.40/0.61 (step @p18 :rule eq-symm :args (@t70 tptp.e22)) % 0.40/0.61 (step @p19 :rule eq-symm :args (@t72 tptp.e21)) % 0.40/0.61 (step @p20 :rule eq-symm :args (@t74 tptp.e20)) % 0.40/0.61 (step @p21 :rule refl :args (@t75)) % 0.40/0.61 (step @p22 :rule refl :args (@t76)) % 0.40/0.61 (step @p23 :rule refl :args (@t77)) % 0.40/0.61 (step @p24 :rule refl :args (@t78)) % 0.40/0.61 (step @p25 :rule refl :args (@t79)) % 0.40/0.61 (step @p26 :rule refl :args (@t80)) % 0.40/0.61 (step @p27 :rule refl :args (@t82)) % 0.40/0.61 (step @p28 :rule refl :args (@t83)) % 0.40/0.61 (step @p29 :rule refl :args (@t84)) % 0.40/0.61 (step @p30 :rule refl :args (@t85)) % 0.40/0.61 (step @p31 :rule refl :args (@t86)) % 0.40/0.61 (step @p32 :rule refl :args (@t87)) % 0.40/0.61 (step @p33 :rule refl :args (@t88)) % 0.40/0.61 (step @p34 :rule refl :args (@t89)) % 0.40/0.61 (step @p35 :rule refl :args (@t90)) % 0.40/0.61 (step @p36 :rule refl :args (@t91)) % 0.40/0.61 (step @p37 :rule refl :args (@t92)) % 0.40/0.61 (step @p38 :rule refl :args (@t93)) % 0.40/0.61 (step @p39 :rule refl :args (@t94)) % 0.40/0.61 (step @p40 :rule refl :args (@t95)) % 0.40/0.61 (step @p41 :rule refl :args (@t96)) % 0.40/0.61 (step @p42 :rule refl :args (@t97)) % 0.40/0.61 (step @p43 :rule refl :args (@t98)) % 0.40/0.61 (step @p44 :rule refl :args (@t99)) % 0.40/0.61 (step @p45 :rule refl :args (@t100)) % 0.40/0.61 (step @p46 :rule refl :args (@t102)) % 0.40/0.61 (step @p47 :rule refl :args (@t103)) % 0.40/0.61 (step @p48 :rule refl :args (@t104)) % 0.40/0.61 (step @p49 :rule refl :args (@t105)) % 0.40/0.61 (step @p50 :rule refl :args (@t106)) % 0.40/0.61 (step @p51 :rule refl :args (@t107)) % 0.40/0.61 (step @p52 :rule refl :args (@t109)) % 0.40/0.61 (step @p53 :rule refl :args (@t110)) % 0.40/0.61 (step @p54 :rule refl :args (@t111)) % 0.40/0.61 (step @p55 :rule refl :args (@t112)) % 0.40/0.61 (step @p56 :rule refl :args (@t113)) % 0.40/0.61 (step @p57 :rule refl :args (@t114)) % 0.40/0.61 (step @p58 :rule refl :args (@t116)) % 0.40/0.61 (step @p59 :rule refl :args (@t117)) % 0.40/0.61 (step @p60 :rule refl :args (@t118)) % 0.40/0.61 (step @p61 :rule refl :args (@t119)) % 0.40/0.61 (step @p62 :rule refl :args (@t120)) % 0.40/0.61 (step @p63 :rule refl :args (@t121)) % 0.40/0.61 (step @p64 :rule refl :args (@t123)) % 0.40/0.61 (step @p65 :rule refl :args (@t124)) % 0.40/0.61 (step @p66 :rule refl :args (@t125)) % 0.40/0.61 (step @p67 :rule refl :args (@t126)) % 0.40/0.61 (step @p68 :rule refl :args (@t127)) % 0.40/0.61 (step @p69 :rule refl :args (@t128)) % 0.40/0.61 (step @p70 :rule refl :args (@t130)) % 0.40/0.61 (step @p71 :rule nary_cong :premises (@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 @p16 @p15 @p14 @p13 @p12 @p11) :args (@t131)) % 0.40/0.61 (step @p72 :rule cong :premises (@p71) :args (@t132)) % 0.40/0.61 (step @p73 :rule eq-symm :args (@t65 tptp.e14)) % 0.40/0.61 (step @p74 :rule eq-symm :args (@t65 tptp.e13)) % 0.40/0.61 (step @p75 :rule eq-symm :args (@t65 tptp.e12)) % 0.40/0.61 (step @p76 :rule eq-symm :args (@t65 tptp.e11)) % 0.40/0.61 (step @p77 :rule eq-symm :args (@t65 tptp.e10)) % 0.40/0.61 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75 @p74 @p73) :args (@t133)) % 0.40/0.61 (step @p79 :rule eq-symm :args (@t67 tptp.e14)) % 0.40/0.61 (step @p80 :rule eq-symm :args (@t67 tptp.e13)) % 0.40/0.61 (step @p81 :rule eq-symm :args (@t67 tptp.e12)) % 0.40/0.61 (step @p82 :rule eq-symm :args (@t67 tptp.e11)) % 0.40/0.61 (step @p83 :rule eq-symm :args (@t67 tptp.e10)) % 0.40/0.61 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81 @p80 @p79) :args (@t134)) % 0.40/0.61 (step @p85 :rule eq-symm :args (@t69 tptp.e14)) % 0.40/0.61 (step @p86 :rule eq-symm :args (@t69 tptp.e13)) % 0.40/0.61 (step @p87 :rule eq-symm :args (@t69 tptp.e12)) % 0.40/0.61 (step @p88 :rule eq-symm :args (@t69 tptp.e11)) % 0.40/0.61 (step @p89 :rule eq-symm :args (@t69 tptp.e10)) % 0.40/0.61 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87 @p86 @p85) :args (@t135)) % 0.40/0.61 (step @p91 :rule eq-symm :args (@t71 tptp.e14)) % 0.40/0.61 (step @p92 :rule eq-symm :args (@t71 tptp.e13)) % 0.40/0.61 (step @p93 :rule eq-symm :args (@t71 tptp.e12)) % 0.40/0.61 (step @p94 :rule eq-symm :args (@t71 tptp.e11)) % 0.40/0.61 (step @p95 :rule eq-symm :args (@t71 tptp.e10)) % 0.40/0.61 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93 @p92 @p91) :args (@t136)) % 0.40/0.61 (step @p97 :rule eq-symm :args (@t73 tptp.e14)) % 0.40/0.61 (step @p98 :rule eq-symm :args (@t73 tptp.e13)) % 0.40/0.61 (step @p99 :rule eq-symm :args (@t73 tptp.e12)) % 0.40/0.61 (step @p100 :rule eq-symm :args (@t73 tptp.e11)) % 0.40/0.61 (step @p101 :rule eq-symm :args (@t73 tptp.e10)) % 0.40/0.61 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98 @p97) :args (@t137)) % 0.40/0.61 (step @p103 :rule eq-symm :args (@t55 tptp.e24)) % 0.40/0.61 (step @p104 :rule eq-symm :args (@t55 tptp.e23)) % 0.40/0.61 (step @p105 :rule eq-symm :args (@t55 tptp.e22)) % 0.40/0.61 (step @p106 :rule eq-symm :args (@t55 tptp.e21)) % 0.40/0.61 (step @p107 :rule eq-symm :args (@t55 tptp.e20)) % 0.40/0.61 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104 @p103) :args (@t138)) % 0.40/0.61 (step @p109 :rule eq-symm :args (@t57 tptp.e24)) % 0.40/0.61 (step @p110 :rule eq-symm :args (@t57 tptp.e23)) % 0.40/0.61 (step @p111 :rule eq-symm :args (@t57 tptp.e22)) % 0.40/0.61 (step @p112 :rule eq-symm :args (@t57 tptp.e21)) % 0.40/0.61 (step @p113 :rule eq-symm :args (@t57 tptp.e20)) % 0.40/0.61 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p110 @p109) :args (@t139)) % 0.40/0.61 (step @p115 :rule eq-symm :args (@t59 tptp.e24)) % 0.40/0.61 (step @p116 :rule eq-symm :args (@t59 tptp.e23)) % 0.40/0.61 (step @p117 :rule eq-symm :args (@t59 tptp.e22)) % 0.40/0.61 (step @p118 :rule eq-symm :args (@t59 tptp.e21)) % 0.40/0.61 (step @p119 :rule eq-symm :args (@t59 tptp.e20)) % 0.40/0.61 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115) :args (@t140)) % 0.40/0.61 (step @p121 :rule eq-symm :args (@t61 tptp.e24)) % 0.40/0.61 (step @p122 :rule eq-symm :args (@t61 tptp.e23)) % 0.40/0.61 (step @p123 :rule eq-symm :args (@t61 tptp.e22)) % 0.40/0.61 (step @p124 :rule eq-symm :args (@t61 tptp.e21)) % 0.40/0.61 (step @p125 :rule eq-symm :args (@t61 tptp.e20)) % 0.40/0.61 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122 @p121) :args (@t141)) % 0.40/0.61 (step @p127 :rule eq-symm :args (@t63 tptp.e24)) % 0.40/0.61 (step @p128 :rule eq-symm :args (@t63 tptp.e23)) % 0.40/0.61 (step @p129 :rule eq-symm :args (@t63 tptp.e22)) % 0.40/0.61 (step @p130 :rule eq-symm :args (@t63 tptp.e21)) % 0.40/0.61 (step @p131 :rule eq-symm :args (@t63 tptp.e20)) % 0.40/0.61 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129 @p128 @p127) :args (@t142)) % 0.40/0.61 (step @p133 :rule nary_cong :premises (@p132 @p126 @p120 @p114 @p108 @p102 @p96 @p90 @p84 @p78) :args (@t143)) % 0.40/0.61 (step @p134 :rule cong :premises (@p133 @p72) :args (@t144)) % 0.40/0.61 (step @p135 :rule cong :premises (@p134) :args (@t145)) % 0.40/0.61 (step @p136 :rule eq_resolve :premises (@p6 @p135)) % 0.40/0.61 (step @p137 :rule not_implies_elim2 :premises (@p136)) % 0.40/0.61 (step @p138 :rule not_not_elim :premises (@p137)) % 0.40/0.61 (step @p139 :rule and_elim :premises (@p138) :args (50)) % 0.40/0.61 (step @p140 :rule and_elim :premises (@p138) :args (54)) % 0.40/0.61 (step @p141 :rule and_elim :premises (@p138) :args (55)) % 0.40/0.61 (step @p142 :rule and_elim :premises (@p4) :args (0)) % 0.40/0.61 (step @p143 :rule symm :premises (@p142)) % 0.40/0.61 (step @p144 :rule and_elim :premises (@p5) :args (24)) % 0.40/0.61 (step @p145 :rule symm :premises (@p144)) % 0.40/0.61 (step @p146 :rule and_elim :premises (@p138) :args (0)) % 0.40/0.61 (assume-push @p580 @t130) % 0.40/0.61 (assume-push @p581 @t146) % 0.40/0.61 (assume-push @p582 @t147) % 0.40/0.61 (assume-push @p583 @t148) % 0.40/0.61 (assume-push @p584 @t149) % 0.40/0.61 (assume-push @p585 @t146) % 0.40/0.61 (assume-push @p586 @t130) % 0.40/0.61 (assume-push @p587 @t148) % 0.40/0.61 (assume-push @p588 @t149) % 0.40/0.61 (assume-push @p589 @t147) % 0.40/0.61 (step @p157 :rule cong :premises (@p142) :args (@t129)) % 0.40/0.61 (step @p158 :rule symm :premises (@p146)) % 0.40/0.61 (step @p159 :rule symm :premises (@p583)) % 0.40/0.61 (step @p160 :rule cong :premises (@p159) :args (@t66)) % 0.40/0.61 (step @p161 :rule trans :premises (@p140 @p160)) % 0.40/0.61 (step @p162 :rule cong :premises (@p161 @p161) :args (@t30)) % 0.40/0.61 (step @p163 :rule trans :premises (@p145 @p162 @p158 @p157)) % 0.40/0.61 (step-pop @p590 :rule scope :premises (@p163)) % 0.40/0.61 (step-pop @p591 :rule scope :premises (@p590)) % 0.40/0.61 (step-pop @p592 :rule scope :premises (@p591)) % 0.40/0.61 (step-pop @p593 :rule scope :premises (@p592)) % 0.40/0.61 (step-pop @p594 :rule scope :premises (@p593)) % 0.40/0.61 (step @p164 :rule process_scope :premises (@p594) :args (@t150)) % 0.40/0.61 (step @p170 :rule and_intro :premises (@p143 @p146 @p583 @p140 @p145)) % 0.40/0.61 (step @p171 :rule modus_ponens :premises (@p170 @p164)) % 0.40/0.61 (step-pop @p595 :rule scope :premises (@p171)) % 0.40/0.61 (step-pop @p596 :rule scope :premises (@p595)) % 0.40/0.61 (step-pop @p597 :rule scope :premises (@p596)) % 0.40/0.61 (step-pop @p598 :rule scope :premises (@p597)) % 0.40/0.61 (step-pop @p599 :rule scope :premises (@p598)) % 0.40/0.61 (step @p172 :rule process_scope :premises (@p599) :args (@t150)) % 0.40/0.61 (step @p178 :rule implies_elim :premises (@p172)) % 0.40/0.61 (step @p179 :rule cnf_and_neg :args (@t151)) % 0.40/0.61 (step @p180 :rule resolution :premises (@p179 @p178) :args (true @t151)) % 0.40/0.61 (step @p181 :rule reordering :premises (@p180) :args ((or @t150 (not @t146) @t154 @t153 (not @t130) @t152))) % 0.40/0.61 (step @p182 :rule and_elim :premises (@p4) :args (6)) % 0.40/0.61 (step @p183 :rule symm :premises (@p182)) % 0.40/0.61 (step @p184 :rule and_elim :premises (@p138) :args (6)) % 0.40/0.61 (assume-push @p600 @t123) % 0.40/0.61 (assume-push @p601 @t155) % 0.40/0.61 (assume-push @p602 @t147) % 0.40/0.61 (assume-push @p603 @t156) % 0.40/0.61 (assume-push @p604 @t149) % 0.40/0.61 (assume-push @p605 @t155) % 0.40/0.61 (assume-push @p606 @t123) % 0.40/0.61 (assume-push @p607 @t156) % 0.40/0.61 (assume-push @p608 @t149) % 0.40/0.61 (assume-push @p609 @t147) % 0.40/0.61 (step @p195 :rule cong :premises (@p182) :args (@t122)) % 0.40/0.61 (step @p196 :rule symm :premises (@p184)) % 0.40/0.61 (step @p197 :rule symm :premises (@p603)) % 0.40/0.61 (step @p198 :rule cong :premises (@p197) :args (@t66)) % 0.40/0.61 (step @p199 :rule trans :premises (@p140 @p198)) % 0.40/0.61 (step @p200 :rule cong :premises (@p199 @p199) :args (@t30)) % 0.40/0.61 (step @p201 :rule trans :premises (@p145 @p200 @p196 @p195)) % 0.40/0.61 (step-pop @p610 :rule scope :premises (@p201)) % 0.40/0.61 (step-pop @p611 :rule scope :premises (@p610)) % 0.40/0.61 (step-pop @p612 :rule scope :premises (@p611)) % 0.40/0.61 (step-pop @p613 :rule scope :premises (@p612)) % 0.40/0.61 (step-pop @p614 :rule scope :premises 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bool-double-not-elim :args (@t3)) % 0.40/0.62 (step @p429 :rule nary_cong :premises (@p428 @p427 @p426 @p425 @p424 @p423 @p422) :args ((or (not @t4) @t190 @t188 @t187 @t185 @t183 @t181))) % 0.40/0.62 (assume-push @p728 @t189) % 0.40/0.62 (assume-push @p729 @t150) % 0.40/0.62 (assume-push @p730 @t191) % 0.40/0.62 (assume-push @p731 @t4) % 0.40/0.62 (step @p434 :rule evaluate :args (@t192)) % 0.40/0.62 (step @p435 :rule symm :premises (@p729)) % 0.40/0.62 (step @p436 :rule trans :premises (@p730 @p435 @p10)) % 0.40/0.62 (step @p437 :rule symm :premises (@p436)) % 0.40/0.62 (step @p438 :rule trans :premises (@p10 @p437)) % 0.40/0.62 (step @p439 :rule true_intro :premises (@p438)) % 0.40/0.62 (step @p440 :rule false_intro :premises (@p421)) % 0.40/0.62 (step @p441 :rule symm :premises (@p440)) % 0.40/0.62 (step @p442 :rule trans :premises (@p441 @p439)) % 0.40/0.62 (step @p443 false :rule eq_resolve :premises (@p442 @p434)) % 0.40/0.62 (step-pop @p732 :rule scope :premises (@p443)) % 0.40/0.62 (step-pop @p733 :rule scope :premises (@p732)) % 0.40/0.62 (step-pop @p734 :rule scope :premises (@p733)) % 0.40/0.62 (step-pop @p735 :rule scope :premises (@p734)) % 0.40/0.62 (step @p444 :rule process_scope :premises (@p735) :args (false)) % 0.40/0.62 (assume-push @p736 @t4) % 0.40/0.62 (assume-push @p737 @t189) % 0.40/0.62 (assume-push @p738 @t150) % 0.40/0.62 (assume-push @p739 @t186) % 0.40/0.62 (assume-push @p740 @t184) % 0.40/0.62 (assume-push @p741 @t182) % 0.40/0.62 (assume-push @p742 @t180) % 0.40/0.62 (assume-push @p743 @t150) % 0.40/0.62 (assume-push @p744 @t184) % 0.40/0.62 (assume-push @p745 @t180) % 0.40/0.62 (assume-push @p746 @t186) % 0.40/0.62 (assume-push @p747 @t182) % 0.40/0.62 (step @p461 :rule symm :premises (@p139)) % 0.40/0.62 (step @p462 :rule symm :premises (@p738)) % 0.40/0.62 (step @p463 :rule cong :premises (@p462) :args (@t64)) % 0.40/0.62 (step @p464 :rule symm :premises (@p739)) % 0.40/0.62 (step @p465 :rule trans :premises (@p464 @p141 @p463)) % 0.40/0.62 (step @p466 :rule cong :premises (@p465) :args (@t68)) % 0.40/0.62 (step @p467 :rule trans :premises (@p420 @p466 @p461 @p738)) % 0.40/0.62 (step-pop @p748 :rule scope :premises (@p467)) % 0.40/0.62 (step-pop @p749 :rule scope :premises (@p748)) % 0.40/0.62 (step-pop @p750 :rule scope :premises (@p749)) % 0.40/0.62 (step-pop @p751 :rule scope :premises (@p750)) % 0.40/0.62 (step-pop @p752 :rule scope :premises (@p751)) % 0.40/0.62 (step @p468 :rule process_scope :premises (@p752) :args (@t191)) % 0.40/0.62 (step @p474 :rule and_intro :premises (@p738 @p139 @p141 @p739 @p420)) % 0.40/0.62 (step @p475 :rule modus_ponens :premises (@p474 @p468)) % 0.40/0.62 (step @p476 :rule and_intro :premises (@p10 @p738 @p475 @p421)) % 0.40/0.62 (step-pop @p753 :rule scope :premises (@p476)) % 0.40/0.62 (step-pop @p754 :rule scope :premises (@p753)) % 0.40/0.62 (step-pop @p755 :rule scope :premises (@p754)) % 0.40/0.62 (step-pop @p756 :rule scope :premises (@p755)) % 0.40/0.62 (step-pop @p757 :rule scope :premises (@p756)) % 0.40/0.62 (step-pop @p758 :rule scope :premises (@p757)) % 0.40/0.62 (step-pop @p759 :rule scope :premises (@p758)) % 0.40/0.62 (step @p477 :rule process_scope :premises (@p759) :args (@t193)) % 0.40/0.62 (step @p485 :rule implies_elim :premises (@p477)) % 0.40/0.62 (step @p486 :rule resolution :premises (@p485 @p444) :args (true @t193)) % 0.40/0.62 (step @p487 :rule not_and :premises (@p486)) % 0.40/0.62 (step @p488 :rule eq_resolve :premises (@p487 @p429)) % 0.40/0.62 (step @p489 :rule chain_m_resolution :premises (@p488 @p421 @p10 @p336 @p139 @p420 @p141) :args (@t187 (@list true false false false false false) (@list @t3 @t189 @t150 @t184 @t182 @t180))) % 0.40/0.62 (step @p490 :rule and_elim :premises (@p296) :args (8)) % 0.40/0.62 (assume-push @p760 @t82) % 0.40/0.62 (assume-push @p761 @t167) % 0.40/0.62 (assume-push @p762 @t171) % 0.40/0.62 (assume-push @p763 @t194) % 0.40/0.62 (assume-push @p764 @t171) % 0.40/0.62 (assume-push @p765 @t82) % 0.40/0.62 (assume-push @p766 @t194) % 0.40/0.62 (assume-push @p767 @t167) % 0.40/0.62 (step @p348 :rule cong :premises (@p337) :args (@t81)) % 0.40/0.62 (step @p349 :rule symm :premises (@p339)) % 0.40/0.62 (step @p499 :rule cong :premises (@p763 @p763) :args (@t5)) % 0.40/0.62 (step @p500 :rule trans :premises (@p299 @p499 @p349 @p348)) % 0.40/0.62 (step-pop @p768 :rule scope :premises (@p500)) % 0.40/0.62 (step-pop @p769 :rule scope :premises (@p768)) % 0.40/0.62 (step-pop @p770 :rule scope :premises (@p769)) % 0.40/0.62 (step-pop @p771 :rule scope :premises (@p770)) % 0.40/0.62 (step @p501 :rule process_scope :premises (@p771) :args (@t148)) % 0.40/0.62 (step @p506 :rule and_intro :premises (@p338 @p339 @p763 @p299)) % 0.40/0.62 (step @p507 :rule modus_ponens :premises (@p506 @p501)) % 0.40/0.62 (step-pop @p772 :rule scope :premises (@p507)) % 0.40/0.62 (step-pop @p773 :rule scope :premises (@p772)) % 0.40/0.62 (step-pop @p774 :rule scope :premises (@p773)) % 0.40/0.62 (step-pop @p775 :rule scope :premises (@p774)) % 0.40/0.62 (step @p508 :rule process_scope :premises (@p775) :args (@t148)) % 0.40/0.62 (step @p513 :rule implies_elim :premises (@p508)) % 0.40/0.62 (step @p514 :rule cnf_and_neg :args (@t195)) % 0.40/0.62 (step @p515 :rule resolution :premises (@p514 @p513) :args (true @t195)) % 0.40/0.62 (step @p516 :rule reordering :premises (@p515) :args ((or @t148 @t170 @t175 (not @t194) @t174))) % 0.40/0.62 (step @p517 :rule chain_m_resolution :premises (@p516 @p339 @p338 @p299 @p490 @p489 @p419 @p339 @p338 @p259 @p393 @p339 @p338 @p221 @p367 @p339 @p338 @p183) :args (@t148 (@list false false false false true true false false false true false false false true false false false) (@list @t82 @t171 @t167 @t194 @t186 @t178 @t82 @t171 @t163 @t176 @t82 @t171 @t159 @t172 @t82 @t171 @t155))) % 0.40/0.62 (step @p518 :rule refl :args (@t152)) % 0.40/0.62 (step @p519 :rule refl :args (@t153)) % 0.40/0.62 (step @p520 :rule bool-double-not-elim :args (@t1)) % 0.40/0.62 (step @p521 :rule nary_cong :premises (@p520 @p427 @p426 @p519 @p424 @p518 @p422) :args ((or (not @t2) @t190 @t188 @t153 @t185 @t152 @t181))) % 0.40/0.62 (assume-push @p776 @t189) % 0.40/0.62 (assume-push @p777 @t150) % 0.40/0.62 (assume-push @p778 @t196) % 0.40/0.62 (assume-push @p779 @t2) % 0.40/0.62 (step @p434 :rule evaluate :args (@t192)) % 0.40/0.62 (step @p526 :rule symm :premises (@p777)) % 0.40/0.62 (step @p527 :rule trans :premises (@p778 @p526 @p10)) % 0.40/0.62 (step @p528 :rule symm :premises (@p527)) % 0.40/0.62 (step @p529 :rule trans :premises (@p10 @p528)) % 0.40/0.62 (step @p530 :rule true_intro :premises (@p529)) % 0.40/0.62 (step @p531 :rule false_intro :premises (@p8)) % 0.40/0.62 (step @p532 :rule symm :premises (@p531)) % 0.40/0.62 (step @p533 :rule trans :premises (@p532 @p530)) % 0.40/0.62 (step @p534 false :rule eq_resolve :premises (@p533 @p434)) % 0.40/0.62 (step-pop @p780 :rule scope :premises (@p534)) % 0.40/0.62 (step-pop @p781 :rule scope :premises (@p780)) % 0.40/0.62 (step-pop @p782 :rule scope :premises (@p781)) % 0.40/0.62 (step-pop @p783 :rule scope :premises (@p782)) % 0.40/0.62 (step @p535 :rule process_scope :premises (@p783) :args (false)) % 0.40/0.62 (assume-push @p784 @t2) % 0.40/0.62 (assume-push @p785 @t189) % 0.40/0.62 (assume-push @p786 @t150) % 0.40/0.62 (assume-push @p787 @t148) % 0.40/0.62 (assume-push @p788 @t184) % 0.40/0.62 (assume-push @p789 @t149) % 0.40/0.62 (assume-push @p790 @t180) % 0.40/0.62 (assume-push @p791 @t150) % 0.40/0.62 (assume-push @p792 @t184) % 0.40/0.62 (assume-push @p793 @t180) % 0.40/0.62 (assume-push @p794 @t148) % 0.40/0.62 (assume-push @p795 @t149) % 0.40/0.62 (step @p461 :rule symm :premises (@p139)) % 0.40/0.62 (step @p552 :rule symm :premises (@p786)) % 0.40/0.62 (step @p553 :rule cong :premises (@p552) :args (@t64)) % 0.40/0.62 (step @p554 :rule symm :premises (@p787)) % 0.40/0.62 (step @p555 :rule trans :premises (@p554 @p141 @p553)) % 0.40/0.62 (step @p556 :rule cong :premises (@p555) :args (@t66)) % 0.40/0.62 (step @p557 :rule trans :premises (@p140 @p556 @p461 @p786)) % 0.40/0.62 (step-pop @p796 :rule scope :premises (@p557)) % 0.40/0.62 (step-pop @p797 :rule scope :premises (@p796)) % 0.40/0.62 (step-pop @p798 :rule scope :premises (@p797)) % 0.40/0.62 (step-pop @p799 :rule scope :premises (@p798)) % 0.40/0.62 (step-pop @p800 :rule scope :premises (@p799)) % 0.40/0.62 (step @p558 :rule process_scope :premises (@p800) :args (@t196)) % 0.40/0.62 (step @p564 :rule and_intro :premises (@p786 @p139 @p141 @p787 @p140)) % 0.40/0.62 (step @p565 :rule modus_ponens :premises (@p564 @p558)) % 0.40/0.62 (step @p566 :rule and_intro :premises (@p10 @p786 @p565 @p8)) % 0.40/0.62 (step-pop @p801 :rule scope :premises (@p566)) % 0.40/0.62 (step-pop @p802 :rule scope :premises (@p801)) % 0.40/0.62 (step-pop @p803 :rule scope :premises (@p802)) % 0.40/0.62 (step-pop @p804 :rule scope :premises (@p803)) % 0.40/0.62 (step-pop @p805 :rule scope :premises (@p804)) % 0.40/0.62 (step-pop @p806 :rule scope :premises (@p805)) % 0.40/0.62 (step-pop @p807 :rule scope :premises (@p806)) % 0.40/0.62 (step @p567 :rule process_scope :premises (@p807) :args (@t197)) % 0.40/0.62 (step @p575 :rule implies_elim :premises (@p567)) % 0.40/0.62 (step @p576 :rule resolution :premises (@p575 @p535) :args (true @t197)) % 0.40/0.62 (step @p577 :rule not_and :premises (@p576)) % 0.40/0.62 (step @p578 :rule eq_resolve :premises (@p577 @p521)) % 0.40/0.62 (step @p579 false :rule chain_m_resolution :premises (@p578 @p517 @p336 @p141 @p140 @p139 @p10 @p8) :args (false (@list false false false false false false true) (@list @t148 @t150 @t180 @t149 @t184 @t189 @t1))) % 0.40/0.62 ) % 0.40/0.62 % SZS output end Proof % 0.40/0.62 % cvc5 exiting %------------------------------------------------------------------------------