%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG082+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 : n001.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 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG082+1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:39:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.e13 $$unsorted) % 0.36/0.59 (declare-const tptp.e12 $$unsorted) % 0.36/0.59 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.e11 $$unsorted) % 0.36/0.59 (declare-const tptp.e10 $$unsorted) % 0.36/0.59 (declare-const tptp.e24 $$unsorted) % 0.36/0.59 (declare-const tptp.e23 $$unsorted) % 0.36/0.59 (declare-const tptp.e22 $$unsorted) % 0.36/0.59 (declare-const tptp.e21 $$unsorted) % 0.36/0.59 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.e14 $$unsorted) % 0.36/0.59 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.e20 $$unsorted) % 0.36/0.59 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.36/0.59 (define @t1 () (= tptp.e11 tptp.e14)) % 0.36/0.59 (define @t2 () (not @t1)) % 0.36/0.59 (define @t3 () (= tptp.e20 tptp.e24)) % 0.36/0.59 (define @t4 () (not @t3)) % 0.36/0.59 (define @t5 () (tptp.op1 tptp.e14 tptp.e14)) % 0.36/0.59 (define @t6 () (tptp.op1 tptp.e14 tptp.e13)) % 0.36/0.59 (define @t7 () (tptp.op1 tptp.e14 tptp.e12)) % 0.36/0.59 (define @t8 () (tptp.op1 tptp.e14 tptp.e11)) % 0.36/0.59 (define @t9 () (tptp.op1 tptp.e14 tptp.e10)) % 0.36/0.59 (define @t10 () (tptp.op1 tptp.e13 tptp.e14)) % 0.36/0.59 (define @t11 () (tptp.op1 tptp.e13 tptp.e13)) % 0.36/0.59 (define @t12 () (tptp.op1 tptp.e13 tptp.e12)) % 0.36/0.59 (define @t13 () (tptp.op1 tptp.e13 tptp.e11)) % 0.36/0.59 (define @t14 () (tptp.op1 tptp.e13 tptp.e10)) % 0.36/0.59 (define @t15 () (tptp.op1 tptp.e12 tptp.e14)) % 0.36/0.59 (define @t16 () (tptp.op1 tptp.e12 tptp.e13)) % 0.36/0.59 (define @t17 () (tptp.op1 tptp.e12 tptp.e12)) % 0.36/0.59 (define @t18 () (tptp.op1 tptp.e12 tptp.e11)) % 0.36/0.59 (define @t19 () (tptp.op1 tptp.e12 tptp.e10)) % 0.36/0.59 (define @t20 () (tptp.op1 tptp.e11 tptp.e14)) % 0.36/0.59 (define @t21 () (tptp.op1 tptp.e11 tptp.e13)) % 0.36/0.59 (define @t22 () (tptp.op1 tptp.e11 tptp.e12)) % 0.36/0.59 (define @t23 () (tptp.op1 tptp.e11 tptp.e11)) % 0.36/0.59 (define @t24 () (tptp.op1 tptp.e11 tptp.e10)) % 0.36/0.59 (define @t25 () (tptp.op1 tptp.e10 tptp.e14)) % 0.36/0.59 (define @t26 () (tptp.op1 tptp.e10 tptp.e13)) % 0.36/0.59 (define @t27 () (tptp.op1 tptp.e10 tptp.e12)) % 0.36/0.59 (define @t28 () (tptp.op1 tptp.e10 tptp.e11)) % 0.36/0.59 (define @t29 () (tptp.op1 tptp.e10 tptp.e10)) % 0.36/0.59 (define @t30 () (tptp.op2 tptp.e24 tptp.e24)) % 0.36/0.59 (define @t31 () (tptp.op2 tptp.e24 tptp.e23)) % 0.36/0.59 (define @t32 () (tptp.op2 tptp.e24 tptp.e22)) % 0.36/0.59 (define @t33 () (tptp.op2 tptp.e24 tptp.e21)) % 0.36/0.59 (define @t34 () (tptp.op2 tptp.e24 tptp.e20)) % 0.36/0.59 (define @t35 () (tptp.op2 tptp.e23 tptp.e24)) % 0.36/0.59 (define @t36 () (tptp.op2 tptp.e23 tptp.e23)) % 0.36/0.59 (define @t37 () (tptp.op2 tptp.e23 tptp.e22)) % 0.36/0.59 (define @t38 () (tptp.op2 tptp.e23 tptp.e21)) % 0.36/0.59 (define @t39 () (tptp.op2 tptp.e23 tptp.e20)) % 0.36/0.59 (define @t40 () (tptp.op2 tptp.e22 tptp.e24)) % 0.36/0.59 (define @t41 () (tptp.op2 tptp.e22 tptp.e23)) % 0.36/0.59 (define @t42 () (tptp.op2 tptp.e22 tptp.e22)) % 0.36/0.59 (define @t43 () (tptp.op2 tptp.e22 tptp.e21)) % 0.36/0.59 (define @t44 () (tptp.op2 tptp.e22 tptp.e20)) % 0.36/0.59 (define @t45 () (tptp.op2 tptp.e21 tptp.e24)) % 0.36/0.59 (define @t46 () (tptp.op2 tptp.e21 tptp.e23)) % 0.36/0.59 (define @t47 () (tptp.op2 tptp.e21 tptp.e22)) % 0.36/0.59 (define @t48 () (tptp.op2 tptp.e21 tptp.e21)) % 0.36/0.59 (define @t49 () (tptp.op2 tptp.e21 tptp.e20)) % 0.36/0.59 (define @t50 () (tptp.op2 tptp.e20 tptp.e24)) % 0.36/0.59 (define @t51 () (tptp.op2 tptp.e20 tptp.e23)) % 0.36/0.59 (define @t52 () (tptp.op2 tptp.e20 tptp.e22)) % 0.36/0.59 (define @t53 () (tptp.op2 tptp.e20 tptp.e21)) % 0.36/0.59 (define @t54 () (tptp.op2 tptp.e20 tptp.e20)) % 0.36/0.59 (define @t55 () (tptp.h tptp.e14)) % 0.36/0.59 (define @t56 () (tptp.j @t55)) % 0.36/0.59 (define @t57 () (tptp.h tptp.e13)) % 0.36/0.59 (define @t58 () (tptp.j @t57)) % 0.36/0.59 (define @t59 () (tptp.h tptp.e12)) % 0.36/0.59 (define @t60 () (tptp.j @t59)) % 0.36/0.59 (define @t61 () (tptp.h tptp.e11)) % 0.36/0.59 (define @t62 () (tptp.j @t61)) % 0.36/0.59 (define @t63 () (tptp.h tptp.e10)) % 0.36/0.59 (define @t64 () (tptp.j @t63)) % 0.36/0.59 (define @t65 () (tptp.j tptp.e24)) % 0.36/0.59 (define @t66 () (tptp.h @t65)) % 0.36/0.59 (define @t67 () (tptp.j tptp.e23)) % 0.36/0.59 (define @t68 () (tptp.h @t67)) % 0.36/0.59 (define @t69 () (tptp.j tptp.e22)) % 0.36/0.59 (define @t70 () (tptp.h @t69)) % 0.36/0.59 (define @t71 () (tptp.j tptp.e21)) % 0.36/0.59 (define @t72 () (tptp.h @t71)) % 0.36/0.59 (define @t73 () (tptp.j tptp.e20)) % 0.36/0.59 (define @t74 () (tptp.h @t73)) % 0.36/0.59 (define @t75 () (tptp.j @t30)) % 0.36/0.59 (define @t76 () (= @t75 (tptp.op1 @t65 @t65))) % 0.36/0.59 (define @t77 () (= (tptp.j @t31) (tptp.op1 @t65 @t67))) % 0.36/0.59 (define @t78 () (= (tptp.j @t32) (tptp.op1 @t65 @t69))) % 0.36/0.59 (define @t79 () (= (tptp.j @t33) (tptp.op1 @t65 @t71))) % 0.36/0.59 (define @t80 () (tptp.j @t34)) % 0.36/0.59 (define @t81 () (= @t80 (tptp.op1 @t65 @t73))) % 0.36/0.59 (define @t82 () (= (tptp.j @t35) (tptp.op1 @t67 @t65))) % 0.36/0.59 (define @t83 () (= (tptp.j @t36) (tptp.op1 @t67 @t67))) % 0.36/0.59 (define @t84 () (= (tptp.j @t37) (tptp.op1 @t67 @t69))) % 0.36/0.59 (define @t85 () (= (tptp.j @t38) (tptp.op1 @t67 @t71))) % 0.36/0.59 (define @t86 () (= (tptp.j @t39) (tptp.op1 @t67 @t73))) % 0.36/0.59 (define @t87 () (= (tptp.j @t40) (tptp.op1 @t69 @t65))) % 0.36/0.59 (define @t88 () (= (tptp.j @t41) (tptp.op1 @t69 @t67))) % 0.36/0.59 (define @t89 () (= (tptp.j @t42) (tptp.op1 @t69 @t69))) % 0.36/0.59 (define @t90 () (= (tptp.j @t43) (tptp.op1 @t69 @t71))) % 0.36/0.59 (define @t91 () (= (tptp.j @t44) (tptp.op1 @t69 @t73))) % 0.36/0.59 (define @t92 () (= (tptp.j @t45) (tptp.op1 @t71 @t65))) % 0.36/0.59 (define @t93 () (= (tptp.j @t46) (tptp.op1 @t71 @t67))) % 0.36/0.59 (define @t94 () (= (tptp.j @t47) (tptp.op1 @t71 @t69))) % 0.36/0.59 (define @t95 () (= (tptp.j @t48) (tptp.op1 @t71 @t71))) % 0.36/0.59 (define @t96 () (= (tptp.j @t49) (tptp.op1 @t71 @t73))) % 0.36/0.59 (define @t97 () (= (tptp.j @t50) (tptp.op1 @t73 @t65))) % 0.36/0.59 (define @t98 () (= (tptp.j @t51) (tptp.op1 @t73 @t67))) % 0.36/0.59 (define @t99 () (= (tptp.j @t52) (tptp.op1 @t73 @t69))) % 0.36/0.59 (define @t100 () (= (tptp.j @t53) (tptp.op1 @t73 @t71))) % 0.36/0.59 (define @t101 () (= (tptp.j @t54) (tptp.op1 @t73 @t73))) % 0.36/0.59 (define @t102 () (= (tptp.h @t5) (tptp.op2 @t55 @t55))) % 0.36/0.59 (define @t103 () (= (tptp.h @t6) (tptp.op2 @t55 @t57))) % 0.36/0.59 (define @t104 () (= (tptp.h @t7) (tptp.op2 @t55 @t59))) % 0.36/0.59 (define @t105 () (= (tptp.h @t8) (tptp.op2 @t55 @t61))) % 0.36/0.59 (define @t106 () (= (tptp.h @t9) (tptp.op2 @t55 @t63))) % 0.36/0.59 (define @t107 () (= (tptp.h @t10) (tptp.op2 @t57 @t55))) % 0.36/0.59 (define @t108 () (= (tptp.h @t11) (tptp.op2 @t57 @t57))) % 0.36/0.59 (define @t109 () (= (tptp.h @t12) (tptp.op2 @t57 @t59))) % 0.36/0.59 (define @t110 () (= (tptp.h @t13) (tptp.op2 @t57 @t61))) % 0.36/0.59 (define @t111 () (= (tptp.h @t14) (tptp.op2 @t57 @t63))) % 0.36/0.59 (define @t112 () (= (tptp.h @t15) (tptp.op2 @t59 @t55))) % 0.36/0.59 (define @t113 () (= (tptp.h @t16) (tptp.op2 @t59 @t57))) % 0.36/0.59 (define @t114 () (= (tptp.h @t17) (tptp.op2 @t59 @t59))) % 0.36/0.59 (define @t115 () (= (tptp.h @t18) (tptp.op2 @t59 @t61))) % 0.36/0.59 (define @t116 () (= (tptp.h @t19) (tptp.op2 @t59 @t63))) % 0.36/0.59 (define @t117 () (= (tptp.h @t20) (tptp.op2 @t61 @t55))) % 0.36/0.59 (define @t118 () (= (tptp.h @t21) (tptp.op2 @t61 @t57))) % 0.36/0.59 (define @t119 () (= (tptp.h @t22) (tptp.op2 @t61 @t59))) % 0.36/0.59 (define @t120 () (= (tptp.h @t23) (tptp.op2 @t61 @t61))) % 0.36/0.59 (define @t121 () (= (tptp.h @t24) (tptp.op2 @t61 @t63))) % 0.36/0.59 (define @t122 () (= (tptp.h @t25) (tptp.op2 @t63 @t55))) % 0.36/0.59 (define @t123 () (= (tptp.h @t26) (tptp.op2 @t63 @t57))) % 0.36/0.59 (define @t124 () (= (tptp.h @t27) (tptp.op2 @t63 @t59))) % 0.36/0.59 (define @t125 () (= (tptp.h @t28) (tptp.op2 @t63 @t61))) % 0.36/0.59 (define @t126 () (tptp.h @t29)) % 0.36/0.59 (define @t127 () (= @t126 (tptp.op2 @t63 @t63))) % 0.36/0.59 (define @t128 () (and @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 @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t83 @t82 @t81 @t79 @t78 @t77 @t76 (= @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))) % 0.36/0.59 (define @t129 () (not @t128)) % 0.36/0.59 (define @t130 () (or (= @t65 tptp.e10) (= @t65 tptp.e11) (= @t65 tptp.e12) (= @t65 tptp.e13) (= @t65 tptp.e14))) % 0.36/0.59 (define @t131 () (or (= @t67 tptp.e10) (= @t67 tptp.e11) (= @t67 tptp.e12) (= @t67 tptp.e13) (= @t67 tptp.e14))) % 0.36/0.59 (define @t132 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14))) % 0.36/0.59 (define @t133 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14))) % 0.36/0.59 (define @t134 () (or (= @t73 tptp.e10) (= @t73 tptp.e11) (= @t73 tptp.e12) (= @t73 tptp.e13) (= @t73 tptp.e14))) % 0.36/0.59 (define @t135 () (or (= @t55 tptp.e20) (= @t55 tptp.e21) (= @t55 tptp.e22) (= @t55 tptp.e23) (= @t55 tptp.e24))) % 0.36/0.59 (define @t136 () (or (= @t57 tptp.e20) (= @t57 tptp.e21) (= @t57 tptp.e22) (= @t57 tptp.e23) (= @t57 tptp.e24))) % 0.36/0.59 (define @t137 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24))) % 0.36/0.59 (define @t138 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24))) % 0.36/0.59 (define @t139 () (or (= @t63 tptp.e20) (= @t63 tptp.e21) (= @t63 tptp.e22) (= @t63 tptp.e23) (= @t63 tptp.e24))) % 0.36/0.59 (define @t140 () (and @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130)) % 0.36/0.59 (define @t141 () (=> @t140 @t129)) % 0.36/0.59 (define @t142 () (not @t141)) % 0.36/0.59 (define @t143 () (= tptp.e14 @t65)) % 0.36/0.59 (define @t144 () (not @t143)) % 0.36/0.59 (define @t145 () (= tptp.e24 @t34)) % 0.36/0.59 (define @t146 () (not @t145)) % 0.36/0.59 (define @t147 () (= tptp.e20 @t30)) % 0.36/0.59 (define @t148 () (not @t147)) % 0.36/0.59 (define @t149 () (= tptp.e11 @t7)) % 0.36/0.59 (define @t150 () (not @t149)) % 0.36/0.59 (define @t151 () (= tptp.e12 @t5)) % 0.36/0.59 (define @t152 () (not @t151)) % 0.36/0.59 (define @t153 () (not @t76)) % 0.36/0.59 (define @t154 () (not @t81)) % 0.36/0.59 (define @t155 () (= tptp.e11 @t65)) % 0.36/0.59 (define @t156 () (= false true)) % 0.36/0.59 (define @t157 () (and @t155 @t143 @t2)) % 0.36/0.59 (define @t158 () (= tptp.e14 @t16)) % 0.36/0.59 (define @t159 () (= tptp.e13 @t17)) % 0.36/0.59 (define @t160 () (= tptp.e12 @t65)) % 0.36/0.59 (define @t161 () (and @t81 @t76 @t158 @t159 @t147 @t145 @t160)) % 0.36/0.59 (define @t162 () (= tptp.e11 @t11)) % 0.36/0.59 (define @t163 () (= tptp.e12 @t13)) % 0.36/0.59 (define @t164 () (= tptp.e13 @t65)) % 0.36/0.59 (define @t165 () (and @t81 @t76 @t162 @t163 @t147 @t145 @t164)) % 0.36/0.59 (define @t166 () (= tptp.e13 @t20)) % 0.36/0.59 (define @t167 () (= tptp.e14 @t23)) % 0.36/0.59 (define @t168 () (and @t81 @t76 @t166 @t167 @t147 @t145 @t155)) % 0.36/0.59 (define @t169 () (= tptp.e10 @t65)) % 0.36/0.59 (define @t170 () (= tptp.e10 @t29)) % 0.36/0.59 (define @t171 () (= tptp.e24 @t66)) % 0.36/0.59 (define @t172 () (= tptp.e20 @t63)) % 0.36/0.59 (define @t173 () (and @t127 @t170 @t147 @t169 @t171)) % 0.36/0.59 (define @t174 () (not @t171)) % 0.36/0.59 (define @t175 () (not @t169)) % 0.36/0.59 (define @t176 () (not @t172)) % 0.36/0.59 (define @t177 () (= tptp.e20 @t54)) % 0.36/0.59 (define @t178 () (not @t177)) % 0.36/0.59 (define @t179 () (= tptp.e24 @t63)) % 0.36/0.59 (define @t180 () (and @t177 @t172 @t179 @t4)) % 0.36/0.59 (assume @p1 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) (not (= tptp.e10 tptp.e13)) (not (= tptp.e10 tptp.e14)) (not (= tptp.e11 tptp.e12)) (not (= tptp.e11 tptp.e13)) @t2 (not (= tptp.e12 tptp.e13)) (not (= tptp.e12 tptp.e14)) (not (= tptp.e13 tptp.e14)))) % 0.36/0.59 (assume @p2 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) (not (= tptp.e20 tptp.e23)) @t4 (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)))) % 0.36/0.59 (assume @p3 (and (not (= tptp.e10 tptp.e20)) (not (= tptp.e10 tptp.e21)) (not (= tptp.e10 tptp.e22)) (not (= tptp.e10 tptp.e23)) (not (= tptp.e10 tptp.e24)) (not (= tptp.e11 tptp.e20)) (not (= tptp.e11 tptp.e21)) (not (= tptp.e11 tptp.e22)) (not (= tptp.e11 tptp.e23)) (not (= tptp.e11 tptp.e24)) (not (= tptp.e12 tptp.e20)) (not (= tptp.e12 tptp.e21)) (not (= tptp.e12 tptp.e22)) (not (= tptp.e12 tptp.e23)) (not (= tptp.e12 tptp.e24)) (not (= tptp.e13 tptp.e20)) (not (= tptp.e13 tptp.e21)) (not (= tptp.e13 tptp.e22)) (not (= tptp.e13 tptp.e23)) (not (= tptp.e13 tptp.e24)) (not (= tptp.e14 tptp.e20)) (not (= tptp.e14 tptp.e21)) (not (= tptp.e14 tptp.e22)) (not (= tptp.e14 tptp.e23)) (not (= tptp.e14 tptp.e24)))) % 0.36/0.59 (assume @p4 (and (= @t29 tptp.e10) (= @t28 tptp.e11) (= @t27 tptp.e12) (= @t26 tptp.e13) (= @t25 tptp.e14) (= @t24 tptp.e11) (= @t23 tptp.e14) (= @t22 tptp.e10) (= @t21 tptp.e12) (= @t20 tptp.e13) (= @t19 tptp.e12) (= @t18 tptp.e10) (= @t17 tptp.e13) (= @t16 tptp.e14) (= @t15 tptp.e11) (= @t14 tptp.e13) (= @t13 tptp.e12) (= @t12 tptp.e14) (= @t11 tptp.e11) (= @t10 tptp.e10) (= @t9 tptp.e14) (= @t8 tptp.e13) (= @t7 tptp.e11) (= @t6 tptp.e10) (= @t5 tptp.e12))) % 0.36/0.59 (assume @p5 (and (= @t54 tptp.e20) (= @t53 tptp.e21) (= @t52 tptp.e22) (= @t51 tptp.e23) (= @t50 tptp.e24) (= @t49 tptp.e21) (= @t48 tptp.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))) % 0.36/0.59 (assume @p6 @t142) % 0.36/0.59 (assume @p7 true) % 0.36/0.59 (step @p8 :rule and_elim :premises (@p2) :args (3)) % 0.36/0.59 (step @p9 :rule and_elim :premises (@p5) :args (0)) % 0.36/0.59 (step @p10 :rule symm :premises (@p9)) % 0.36/0.59 (step @p11 :rule eq-symm :args (@t56 tptp.e14)) % 0.36/0.59 (step @p12 :rule eq-symm :args (@t58 tptp.e13)) % 0.36/0.59 (step @p13 :rule eq-symm :args (@t60 tptp.e12)) % 0.36/0.59 (step @p14 :rule eq-symm :args (@t62 tptp.e11)) % 0.36/0.59 (step @p15 :rule eq-symm :args (@t64 tptp.e10)) % 0.36/0.59 (step @p16 :rule eq-symm :args (@t66 tptp.e24)) % 0.36/0.59 (step @p17 :rule eq-symm :args (@t68 tptp.e23)) % 0.36/0.59 (step @p18 :rule eq-symm :args (@t70 tptp.e22)) % 0.36/0.59 (step @p19 :rule eq-symm :args (@t72 tptp.e21)) % 0.36/0.59 (step @p20 :rule eq-symm :args (@t74 tptp.e20)) % 0.36/0.59 (step @p21 :rule refl :args (@t76)) % 0.36/0.59 (step @p22 :rule refl :args (@t77)) % 0.36/0.59 (step @p23 :rule refl :args (@t78)) % 0.36/0.59 (step @p24 :rule refl :args (@t79)) % 0.36/0.59 (step @p25 :rule refl :args (@t81)) % 0.36/0.59 (step @p26 :rule refl :args (@t82)) % 0.36/0.59 (step @p27 :rule refl :args (@t83)) % 0.36/0.59 (step @p28 :rule refl :args (@t84)) % 0.36/0.59 (step @p29 :rule refl :args (@t85)) % 0.36/0.59 (step @p30 :rule refl :args (@t86)) % 0.36/0.59 (step @p31 :rule refl :args (@t87)) % 0.36/0.59 (step @p32 :rule refl :args (@t88)) % 0.36/0.59 (step @p33 :rule refl :args (@t89)) % 0.36/0.59 (step @p34 :rule refl :args (@t90)) % 0.36/0.59 (step @p35 :rule refl :args (@t91)) % 0.36/0.59 (step @p36 :rule refl :args (@t92)) % 0.36/0.59 (step @p37 :rule refl :args (@t93)) % 0.36/0.59 (step @p38 :rule refl :args (@t94)) % 0.36/0.59 (step @p39 :rule refl :args (@t95)) % 0.36/0.59 (step @p40 :rule refl :args (@t96)) % 0.36/0.59 (step @p41 :rule refl :args (@t97)) % 0.36/0.59 (step @p42 :rule refl :args (@t98)) % 0.36/0.59 (step @p43 :rule refl :args (@t99)) % 0.36/0.59 (step @p44 :rule refl :args (@t100)) % 0.36/0.59 (step @p45 :rule refl :args (@t101)) % 0.36/0.59 (step @p46 :rule refl :args (@t102)) % 0.36/0.59 (step @p47 :rule refl :args (@t103)) % 0.36/0.59 (step @p48 :rule refl :args (@t104)) % 0.36/0.59 (step @p49 :rule refl :args (@t105)) % 0.36/0.59 (step @p50 :rule refl :args (@t106)) % 0.36/0.59 (step @p51 :rule refl :args (@t107)) % 0.36/0.59 (step @p52 :rule refl :args (@t108)) % 0.36/0.59 (step @p53 :rule refl :args (@t109)) % 0.36/0.59 (step @p54 :rule refl :args (@t110)) % 0.36/0.59 (step @p55 :rule refl :args (@t111)) % 0.36/0.59 (step @p56 :rule refl :args (@t112)) % 0.36/0.59 (step @p57 :rule refl :args (@t113)) % 0.36/0.59 (step @p58 :rule refl :args (@t114)) % 0.36/0.59 (step @p59 :rule refl :args (@t115)) % 0.36/0.59 (step @p60 :rule refl :args (@t116)) % 0.36/0.59 (step @p61 :rule refl :args (@t117)) % 0.36/0.59 (step @p62 :rule refl :args (@t118)) % 0.36/0.59 (step @p63 :rule refl :args (@t119)) % 0.36/0.59 (step @p64 :rule refl :args (@t120)) % 0.36/0.59 (step @p65 :rule refl :args (@t121)) % 0.36/0.59 (step @p66 :rule refl :args (@t122)) % 0.36/0.59 (step @p67 :rule refl :args (@t123)) % 0.36/0.59 (step @p68 :rule refl :args (@t124)) % 0.36/0.59 (step @p69 :rule refl :args (@t125)) % 0.36/0.59 (step @p70 :rule refl :args (@t127)) % 0.36/0.59 (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 (@t128)) % 0.36/0.59 (step @p72 :rule cong :premises (@p71) :args (@t129)) % 0.36/0.59 (step @p73 :rule eq-symm :args (@t65 tptp.e14)) % 0.36/0.59 (step @p74 :rule eq-symm :args (@t65 tptp.e13)) % 0.36/0.59 (step @p75 :rule eq-symm :args (@t65 tptp.e12)) % 0.36/0.59 (step @p76 :rule eq-symm :args (@t65 tptp.e11)) % 0.36/0.59 (step @p77 :rule eq-symm :args (@t65 tptp.e10)) % 0.36/0.59 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75 @p74 @p73) :args (@t130)) % 0.36/0.59 (step @p79 :rule eq-symm :args (@t67 tptp.e14)) % 0.36/0.59 (step @p80 :rule eq-symm :args (@t67 tptp.e13)) % 0.36/0.59 (step @p81 :rule eq-symm :args (@t67 tptp.e12)) % 0.36/0.59 (step @p82 :rule eq-symm :args (@t67 tptp.e11)) % 0.36/0.59 (step @p83 :rule eq-symm :args (@t67 tptp.e10)) % 0.36/0.59 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81 @p80 @p79) :args (@t131)) % 0.36/0.59 (step @p85 :rule eq-symm :args (@t69 tptp.e14)) % 0.36/0.59 (step @p86 :rule eq-symm :args (@t69 tptp.e13)) % 0.36/0.59 (step @p87 :rule eq-symm :args (@t69 tptp.e12)) % 0.36/0.59 (step @p88 :rule eq-symm :args (@t69 tptp.e11)) % 0.36/0.59 (step @p89 :rule eq-symm :args (@t69 tptp.e10)) % 0.36/0.59 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87 @p86 @p85) :args (@t132)) % 0.36/0.59 (step @p91 :rule eq-symm :args (@t71 tptp.e14)) % 0.36/0.59 (step @p92 :rule eq-symm :args (@t71 tptp.e13)) % 0.36/0.59 (step @p93 :rule eq-symm :args (@t71 tptp.e12)) % 0.36/0.59 (step @p94 :rule eq-symm :args (@t71 tptp.e11)) % 0.36/0.59 (step @p95 :rule eq-symm :args (@t71 tptp.e10)) % 0.36/0.59 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93 @p92 @p91) :args (@t133)) % 0.36/0.59 (step @p97 :rule eq-symm :args (@t73 tptp.e14)) % 0.36/0.59 (step @p98 :rule eq-symm :args (@t73 tptp.e13)) % 0.36/0.59 (step @p99 :rule eq-symm :args (@t73 tptp.e12)) % 0.36/0.59 (step @p100 :rule eq-symm :args (@t73 tptp.e11)) % 0.36/0.59 (step @p101 :rule eq-symm :args (@t73 tptp.e10)) % 0.36/0.59 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98 @p97) :args (@t134)) % 0.36/0.59 (step @p103 :rule eq-symm :args (@t55 tptp.e24)) % 0.36/0.59 (step @p104 :rule eq-symm :args (@t55 tptp.e23)) % 0.36/0.59 (step @p105 :rule eq-symm :args (@t55 tptp.e22)) % 0.36/0.59 (step @p106 :rule eq-symm :args (@t55 tptp.e21)) % 0.36/0.59 (step @p107 :rule eq-symm :args (@t55 tptp.e20)) % 0.36/0.59 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104 @p103) :args (@t135)) % 0.36/0.59 (step @p109 :rule eq-symm :args (@t57 tptp.e24)) % 0.36/0.59 (step @p110 :rule eq-symm :args (@t57 tptp.e23)) % 0.36/0.59 (step @p111 :rule eq-symm :args (@t57 tptp.e22)) % 0.36/0.59 (step @p112 :rule eq-symm :args (@t57 tptp.e21)) % 0.36/0.59 (step @p113 :rule eq-symm :args (@t57 tptp.e20)) % 0.36/0.59 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p110 @p109) :args (@t136)) % 0.36/0.59 (step @p115 :rule eq-symm :args (@t59 tptp.e24)) % 0.36/0.59 (step @p116 :rule eq-symm :args (@t59 tptp.e23)) % 0.36/0.59 (step @p117 :rule eq-symm :args (@t59 tptp.e22)) % 0.36/0.59 (step @p118 :rule eq-symm :args (@t59 tptp.e21)) % 0.36/0.59 (step @p119 :rule eq-symm :args (@t59 tptp.e20)) % 0.36/0.59 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115) :args (@t137)) % 0.36/0.59 (step @p121 :rule eq-symm :args (@t61 tptp.e24)) % 0.36/0.59 (step @p122 :rule eq-symm :args (@t61 tptp.e23)) % 0.36/0.59 (step @p123 :rule eq-symm :args (@t61 tptp.e22)) % 0.36/0.59 (step @p124 :rule eq-symm :args (@t61 tptp.e21)) % 0.36/0.59 (step @p125 :rule eq-symm :args (@t61 tptp.e20)) % 0.36/0.59 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122 @p121) :args (@t138)) % 0.36/0.59 (step @p127 :rule eq-symm :args (@t63 tptp.e24)) % 0.36/0.59 (step @p128 :rule eq-symm :args (@t63 tptp.e23)) % 0.36/0.59 (step @p129 :rule eq-symm :args (@t63 tptp.e22)) % 0.36/0.59 (step @p130 :rule eq-symm :args (@t63 tptp.e21)) % 0.36/0.59 (step @p131 :rule eq-symm :args (@t63 tptp.e20)) % 0.36/0.59 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129 @p128 @p127) :args (@t139)) % 0.36/0.59 (step @p133 :rule nary_cong :premises (@p132 @p126 @p120 @p114 @p108 @p102 @p96 @p90 @p84 @p78) :args (@t140)) % 0.36/0.59 (step @p134 :rule cong :premises (@p133 @p72) :args (@t141)) % 0.36/0.59 (step @p135 :rule cong :premises (@p134) :args (@t142)) % 0.36/0.59 (step @p136 :rule eq_resolve :premises (@p6 @p135)) % 0.36/0.59 (step @p137 :rule not_implies_elim2 :premises (@p136)) % 0.36/0.59 (step @p138 :rule not_not_elim :premises (@p137)) % 0.36/0.59 (step @p139 :rule and_elim :premises (@p138) :args (54)) % 0.36/0.59 (step @p140 :rule and_elim :premises (@p138) :args (49)) % 0.36/0.59 (step @p141 :rule and_elim :premises (@p138) :args (45)) % 0.36/0.59 (step @p142 :rule and_elim :premises (@p5) :args (24)) % 0.36/0.59 (step @p143 :rule symm :premises (@p142)) % 0.36/0.59 (step @p144 :rule and_elim :premises (@p5) :args (20)) % 0.36/0.59 (step @p145 :rule symm :premises (@p144)) % 0.36/0.59 (step @p146 :rule and_elim :premises (@p4) :args (24)) % 0.36/0.59 (step @p147 :rule symm :premises (@p146)) % 0.36/0.59 (step @p148 :rule and_elim :premises (@p4) :args (22)) % 0.36/0.59 (step @p149 :rule symm :premises (@p148)) % 0.36/0.59 (step @p150 :rule and_elim :premises (@p1) :args (6)) % 0.36/0.59 (step @p151 :rule refl :args (@t144)) % 0.36/0.59 (step @p152 :rule refl :args (@t146)) % 0.36/0.59 (step @p153 :rule refl :args (@t148)) % 0.36/0.59 (step @p154 :rule refl :args (@t150)) % 0.36/0.59 (step @p155 :rule refl :args (@t152)) % 0.36/0.59 (step @p156 :rule refl :args (@t153)) % 0.36/0.59 (step @p157 :rule refl :args (@t154)) % 0.36/0.59 (step @p158 :rule bool-double-not-elim :args (@t1)) % 0.36/0.59 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151) :args ((or (not @t2) @t154 @t153 @t152 @t150 @t148 @t146 @t144))) % 0.36/0.59 (assume-push @p450 @t155) % 0.36/0.59 (assume-push @p451 @t143) % 0.36/0.59 (assume-push @p452 @t2) % 0.36/0.59 (step @p163 :rule evaluate :args (@t156)) % 0.36/0.59 (step @p164 :rule symm :premises (@p451)) % 0.36/0.59 (step @p165 :rule trans :premises (@p450 @p164)) % 0.36/0.59 (step @p166 :rule true_intro :premises (@p165)) % 0.36/0.59 (step @p167 :rule false_intro :premises (@p150)) % 0.36/0.59 (step @p168 :rule symm :premises (@p167)) % 0.36/0.59 (step @p169 :rule trans :premises (@p168 @p166)) % 0.36/0.59 (step @p170 false :rule eq_resolve :premises (@p169 @p163)) % 0.36/0.59 (step-pop @p453 :rule scope :premises (@p170)) % 0.36/0.59 (step-pop @p454 :rule scope :premises (@p453)) % 0.36/0.59 (step-pop @p455 :rule scope :premises (@p454)) % 0.36/0.59 (step @p171 :rule process_scope :premises (@p455) :args (false)) % 0.36/0.59 (assume-push @p456 @t2) % 0.36/0.59 (assume-push @p457 @t81) % 0.36/0.59 (assume-push @p458 @t76) % 0.36/0.59 (assume-push @p459 @t151) % 0.36/0.59 (assume-push @p460 @t149) % 0.36/0.59 (assume-push @p461 @t147) % 0.36/0.59 (assume-push @p462 @t145) % 0.36/0.59 (assume-push @p463 @t143) % 0.36/0.59 (assume-push @p464 @t145) % 0.36/0.59 (assume-push @p465 @t81) % 0.36/0.59 (assume-push @p466 @t143) % 0.36/0.59 (assume-push @p467 @t147) % 0.36/0.59 (assume-push @p468 @t76) % 0.36/0.59 (assume-push @p469 @t151) % 0.36/0.59 (assume-push @p470 @t149) % 0.36/0.59 (step @p190 :rule cong :premises (@p144) :args (@t80)) % 0.36/0.59 (step @p191 :rule symm :premises (@p141)) % 0.36/0.59 (step @p192 :rule cong :premises (@p142) :args (@t75)) % 0.36/0.59 (step @p193 :rule symm :premises (@p140)) % 0.36/0.59 (step @p194 :rule cong :premises (@p463 @p463) :args (@t5)) % 0.36/0.59 (step @p195 :rule trans :premises (@p147 @p194 @p193 @p192)) % 0.36/0.59 (step @p196 :rule cong :premises (@p463 @p195) :args (@t7)) % 0.36/0.59 (step @p197 :rule trans :premises (@p149 @p196 @p191 @p190)) % 0.36/0.59 (step-pop @p471 :rule scope :premises (@p197)) % 0.36/0.59 (step-pop @p472 :rule scope :premises (@p471)) % 0.36/0.59 (step-pop @p473 :rule scope :premises (@p472)) % 0.36/0.59 (step-pop @p474 :rule scope :premises (@p473)) % 0.36/0.59 (step-pop @p475 :rule scope :premises (@p474)) % 0.36/0.59 (step-pop @p476 :rule scope :premises (@p475)) % 0.36/0.59 (step-pop @p477 :rule scope :premises (@p476)) % 0.36/0.59 (step @p198 :rule process_scope :premises (@p477) :args (@t155)) % 0.36/0.59 (step @p206 :rule and_intro :premises (@p145 @p141 @p463 @p143 @p140 @p147 @p149)) % 0.36/0.59 (step @p207 :rule modus_ponens :premises (@p206 @p198)) % 0.36/0.59 (step @p208 :rule and_intro :premises (@p207 @p463 @p150)) % 0.36/0.59 (step-pop @p478 :rule scope :premises (@p208)) % 0.36/0.59 (step-pop @p479 :rule scope :premises (@p478)) % 0.36/0.59 (step-pop @p480 :rule scope :premises (@p479)) % 0.36/0.59 (step-pop @p481 :rule scope :premises (@p480)) % 0.36/0.59 (step-pop @p482 :rule scope :premises (@p481)) % 0.36/0.59 (step-pop @p483 :rule scope :premises (@p482)) % 0.36/0.59 (step-pop @p484 :rule scope :premises (@p483)) % 0.36/0.59 (step-pop @p485 :rule scope :premises (@p484)) % 0.36/0.59 (step @p209 :rule process_scope :premises (@p485) :args (@t157)) % 0.36/0.59 (step @p218 :rule implies_elim :premises (@p209)) % 0.36/0.59 (step @p219 :rule resolution 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@p492 @t160) % 0.36/0.59 (assume-push @p493 @t145) % 0.36/0.59 (assume-push @p494 @t81) % 0.36/0.59 (assume-push @p495 @t160) % 0.36/0.59 (assume-push @p496 @t147) % 0.36/0.59 (assume-push @p497 @t76) % 0.36/0.59 (assume-push @p498 @t159) % 0.36/0.59 (assume-push @p499 @t158) % 0.36/0.59 (step @p190 :rule cong :premises (@p144) :args (@t80)) % 0.36/0.59 (step @p191 :rule symm :premises (@p141)) % 0.36/0.59 (step @p192 :rule cong :premises (@p142) :args (@t75)) % 0.36/0.59 (step @p193 :rule symm :premises (@p140)) % 0.36/0.59 (step @p242 :rule cong :premises (@p492 @p492) :args (@t17)) % 0.36/0.59 (step @p243 :rule trans :premises (@p225 @p242 @p193 @p192)) % 0.36/0.59 (step @p244 :rule cong :premises (@p492 @p243) :args (@t16)) % 0.36/0.59 (step @p245 :rule trans :premises (@p227 @p244 @p191 @p190)) % 0.36/0.59 (step-pop @p500 :rule scope :premises (@p245)) % 0.36/0.59 (step-pop @p501 :rule scope :premises (@p500)) % 0.36/0.59 (step-pop @p502 :rule scope :premises (@p501)) % 0.36/0.59 (step-pop @p503 :rule scope :premises (@p502)) % 0.36/0.59 (step-pop @p504 :rule scope :premises (@p503)) % 0.36/0.59 (step-pop @p505 :rule scope :premises (@p504)) % 0.36/0.59 (step-pop @p506 :rule scope :premises (@p505)) % 0.36/0.59 (step @p246 :rule process_scope :premises (@p506) :args (@t143)) % 0.36/0.59 (step @p254 :rule and_intro :premises (@p145 @p141 @p492 @p143 @p140 @p225 @p227)) % 0.36/0.59 (step @p255 :rule modus_ponens :premises (@p254 @p246)) % 0.36/0.59 (step-pop @p507 :rule scope :premises (@p255)) % 0.36/0.59 (step-pop @p508 :rule scope :premises (@p507)) % 0.36/0.59 (step-pop @p509 :rule scope :premises (@p508)) % 0.36/0.59 (step-pop @p510 :rule scope :premises (@p509)) % 0.36/0.59 (step-pop @p511 :rule scope :premises (@p510)) % 0.36/0.59 (step-pop @p512 :rule scope :premises (@p511)) % 0.36/0.59 (step-pop @p513 :rule scope :premises (@p512)) % 0.36/0.59 (step @p256 :rule process_scope :premises (@p513) :args (@t143)) % 0.36/0.59 (step @p264 :rule implies_elim :premises (@p256)) % 0.36/0.59 (step @p265 :rule cnf_and_neg :args (@t161)) % 0.36/0.59 (step @p266 :rule resolution :premises (@p265 @p264) :args (true @t161)) % 0.36/0.59 (step @p267 :rule reordering :premises (@p266) :args ((or @t143 (not @t159) (not @t158) @t146 @t148 (not @t160) @t154 @t153))) % 0.36/0.59 (step @p268 :rule and_elim :premises (@p4) :args (16)) % 0.36/0.59 (step @p269 :rule symm :premises (@p268)) % 0.36/0.59 (step @p270 :rule and_elim :premises (@p4) :args (18)) % 0.36/0.59 (step @p271 :rule symm :premises (@p270)) % 0.36/0.59 (assume-push @p514 @t81) % 0.36/0.59 (assume-push @p515 @t76) % 0.36/0.59 (assume-push @p516 @t162) % 0.36/0.59 (assume-push @p517 @t163) % 0.36/0.59 (assume-push @p518 @t147) % 0.36/0.59 (assume-push @p519 @t145) % 0.36/0.59 (assume-push @p520 @t164) % 0.36/0.59 (assume-push @p521 @t145) % 0.36/0.59 (assume-push @p522 @t81) % 0.36/0.59 (assume-push @p523 @t164) % 0.36/0.59 (assume-push @p524 @t147) % 0.36/0.59 (assume-push @p525 @t76) % 0.36/0.59 (assume-push @p526 @t162) % 0.36/0.59 (assume-push @p527 @t163) % 0.36/0.59 (step @p190 :rule cong :premises (@p144) :args (@t80)) % 0.36/0.59 (step @p191 :rule symm :premises (@p141)) % 0.36/0.59 (step @p192 :rule cong :premises (@p142) :args (@t75)) % 0.36/0.59 (step @p193 :rule symm :premises (@p140)) % 0.36/0.59 (step @p286 :rule cong :premises (@p520 @p520) :args (@t11)) % 0.36/0.59 (step @p287 :rule trans :premises (@p271 @p286 @p193 @p192)) % 0.36/0.59 (step @p288 :rule cong :premises (@p520 @p287) :args (@t13)) % 0.36/0.59 (step @p289 :rule trans :premises (@p269 @p288 @p191 @p190)) % 0.36/0.59 (step-pop @p528 :rule scope :premises (@p289)) % 0.36/0.59 (step-pop @p529 :rule scope :premises (@p528)) % 0.36/0.59 (step-pop @p530 :rule scope :premises (@p529)) % 0.36/0.59 (step-pop @p531 :rule scope :premises (@p530)) % 0.36/0.59 (step-pop @p532 :rule scope :premises (@p531)) % 0.36/0.59 (step-pop @p533 :rule scope :premises (@p532)) % 0.36/0.59 (step-pop @p534 :rule 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(step @p192 :rule cong :premises (@p142) :args (@t75)) % 0.36/0.59 (step @p193 :rule symm :premises (@p140)) % 0.36/0.59 (step @p330 :rule cong :premises (@p548 @p548) :args (@t23)) % 0.36/0.59 (step @p331 :rule trans :premises (@p313 @p330 @p193 @p192)) % 0.36/0.59 (step @p332 :rule cong :premises (@p548 @p331) :args (@t20)) % 0.36/0.59 (step @p333 :rule trans :premises (@p315 @p332 @p191 @p190)) % 0.36/0.59 (step-pop @p556 :rule scope :premises (@p333)) % 0.36/0.59 (step-pop @p557 :rule scope :premises (@p556)) % 0.36/0.59 (step-pop @p558 :rule scope :premises (@p557)) % 0.36/0.59 (step-pop @p559 :rule scope :premises (@p558)) % 0.36/0.59 (step-pop @p560 :rule scope :premises (@p559)) % 0.36/0.59 (step-pop @p561 :rule scope :premises (@p560)) % 0.36/0.59 (step-pop @p562 :rule scope :premises (@p561)) % 0.36/0.59 (step @p334 :rule process_scope :premises (@p562) :args (@t164)) % 0.36/0.59 (step @p342 :rule and_intro :premises (@p145 @p141 @p548 @p143 @p140 @p313 @p315)) % 0.36/0.59 (step @p343 :rule modus_ponens :premises (@p342 @p334)) % 0.36/0.59 (step-pop @p563 :rule scope :premises (@p343)) % 0.36/0.59 (step-pop @p564 :rule scope :premises (@p563)) % 0.36/0.59 (step-pop @p565 :rule scope :premises (@p564)) % 0.36/0.59 (step-pop @p566 :rule scope :premises (@p565)) % 0.36/0.59 (step-pop @p567 :rule scope :premises (@p566)) % 0.36/0.59 (step-pop @p568 :rule scope :premises (@p567)) % 0.36/0.59 (step-pop @p569 :rule scope :premises (@p568)) % 0.36/0.59 (step @p344 :rule process_scope :premises (@p569) :args (@t164)) % 0.36/0.59 (step @p352 :rule implies_elim :premises (@p344)) % 0.36/0.59 (step @p353 :rule cnf_and_neg :args (@t168)) % 0.36/0.59 (step @p354 :rule resolution :premises (@p353 @p352) :args (true @t168)) % 0.36/0.59 (step @p355 :rule reordering :premises (@p354) :args ((or @t164 (not @t167) (not @t166) @t146 @t148 (not @t155) @t154 @t153))) % 0.36/0.59 (step @p356 :rule not_implies_elim1 :premises (@p136)) % 0.36/0.59 (step @p357 :rule and_elim :premises (@p356) :args (9)) % 0.36/0.59 (step @p358 :rule chain_m_resolution :premises (@p357 @p355 @p140 @p141 @p143 @p145 @p315 @p313 @p311 @p140 @p141 @p143 @p145 @p271 @p269 @p267 @p140 @p141 @p143 @p145 @p227 @p225) :args ((or @t169 @t143) (@list true false false false false false false true false false false false false false true false false false false false false) (@list @t155 @t76 @t81 @t147 @t145 @t166 @t167 @t164 @t76 @t81 @t147 @t145 @t162 @t163 @t160 @t76 @t81 @t147 @t145 @t158 @t159))) % 0.36/0.59 (step @p359 :rule chain_m_resolution :premises (@p358 @p223) :args (@t169 (@list true) (@list @t143))) % 0.36/0.59 (step @p360 :rule and_elim :premises (@p138) :args (0)) % 0.36/0.59 (step @p361 :rule and_elim :premises (@p4) :args (0)) % 0.36/0.59 (step @p362 :rule symm :premises (@p361)) % 0.36/0.59 (assume-push @p570 @t127) % 0.36/0.59 (assume-push @p571 @t170) % 0.36/0.59 (assume-push @p572 @t147) % 0.36/0.59 (assume-push @p573 @t169) % 0.36/0.59 (assume-push @p574 @t171) % 0.36/0.59 (assume-push @p575 @t170) % 0.36/0.59 (assume-push @p576 @t127) % 0.36/0.59 (assume-push @p577 @t169) % 0.36/0.59 (assume-push @p578 @t171) % 0.36/0.59 (assume-push @p579 @t147) % 0.36/0.59 (step @p373 :rule cong :premises (@p361) :args (@t126)) % 0.36/0.59 (step @p374 :rule symm :premises (@p360)) % 0.36/0.59 (step @p375 :rule symm :premises (@p573)) % 0.36/0.59 (step @p376 :rule cong :premises (@p375) :args (@t66)) % 0.36/0.60 (step @p377 :rule trans :premises (@p139 @p376)) % 0.36/0.60 (step @p378 :rule cong :premises (@p377 @p377) :args (@t30)) % 0.36/0.60 (step @p379 :rule trans :premises (@p143 @p378 @p374 @p373)) % 0.36/0.60 (step-pop @p580 :rule scope :premises (@p379)) % 0.36/0.60 (step-pop @p581 :rule scope :premises (@p580)) % 0.36/0.60 (step-pop @p582 :rule scope :premises (@p581)) % 0.36/0.60 (step-pop @p583 :rule scope :premises (@p582)) % 0.36/0.60 (step-pop @p584 :rule scope :premises (@p583)) % 0.36/0.60 (step @p380 :rule process_scope :premises (@p584) :args (@t172)) % 0.36/0.60 (step @p386 :rule and_intro :premises (@p362 @p360 @p573 @p139 @p143)) % 0.36/0.60 (step @p387 :rule modus_ponens :premises (@p386 @p380)) % 0.36/0.60 (step-pop @p585 :rule scope :premises (@p387)) % 0.36/0.60 (step-pop @p586 :rule scope :premises (@p585)) % 0.36/0.60 (step-pop @p587 :rule scope :premises (@p586)) % 0.36/0.60 (step-pop @p588 :rule scope :premises (@p587)) % 0.36/0.60 (step-pop @p589 :rule scope :premises (@p588)) % 0.36/0.60 (step @p388 :rule process_scope :premises (@p589) :args (@t172)) % 0.36/0.60 (step @p394 :rule implies_elim :premises (@p388)) % 0.36/0.60 (step @p395 :rule cnf_and_neg :args (@t173)) % 0.36/0.60 (step @p396 :rule resolution :premises (@p395 @p394) :args (true @t173)) % 0.36/0.60 (step @p397 :rule reordering :premises (@p396) :args ((or @t172 (not @t170) @t148 @t175 (not @t127) @t174))) % 0.36/0.60 (step @p398 :rule chain_m_resolution :premises (@p397 @p362 @p143 @p359 @p360 @p139) :args (@t172 (@list false false false false false) (@list @t170 @t147 @t169 @t127 @t171))) % 0.36/0.60 (step @p399 :rule refl :args (@t174)) % 0.36/0.60 (step @p400 :rule refl :args (@t175)) % 0.36/0.60 (step @p401 :rule refl :args (@t176)) % 0.36/0.60 (step @p402 :rule refl :args (@t178)) % 0.36/0.60 (step @p403 :rule bool-double-not-elim :args (@t3)) % 0.36/0.60 (step @p404 :rule nary_cong :premises (@p403 @p402 @p401 @p400 @p399) :args ((or (not @t4) @t178 @t176 @t175 @t174))) % 0.36/0.60 (assume-push @p590 @t177) % 0.36/0.60 (assume-push @p591 @t172) % 0.36/0.60 (assume-push @p592 @t179) % 0.36/0.60 (assume-push @p593 @t4) % 0.36/0.60 (step @p163 :rule evaluate :args (@t156)) % 0.36/0.60 (step @p409 :rule symm :premises (@p591)) % 0.36/0.60 (step @p410 :rule trans :premises (@p592 @p409 @p10)) % 0.36/0.60 (step @p411 :rule symm :premises (@p410)) % 0.36/0.60 (step @p412 :rule trans :premises (@p10 @p411)) % 0.36/0.60 (step @p413 :rule true_intro :premises (@p412)) % 0.36/0.60 (step @p414 :rule false_intro :premises (@p8)) % 0.36/0.60 (step @p415 :rule symm :premises (@p414)) % 0.36/0.60 (step @p416 :rule trans :premises (@p415 @p413)) % 0.36/0.60 (step @p417 false :rule eq_resolve :premises (@p416 @p163)) % 0.36/0.60 (step-pop @p594 :rule scope :premises (@p417)) % 0.36/0.60 (step-pop @p595 :rule scope :premises (@p594)) % 0.36/0.60 (step-pop @p596 :rule scope :premises (@p595)) % 0.36/0.60 (step-pop @p597 :rule scope :premises (@p596)) % 0.36/0.60 (step @p418 :rule process_scope :premises (@p597) :args (false)) % 0.36/0.60 (assume-push @p598 @t4) % 0.36/0.60 (assume-push @p599 @t177) % 0.36/0.60 (assume-push @p600 @t172) % 0.36/0.60 (assume-push @p601 @t169) % 0.36/0.60 (assume-push @p602 @t171) % 0.36/0.60 (assume-push @p603 @t169) % 0.36/0.60 (assume-push @p604 @t171) % 0.36/0.60 (step @p430 :rule symm :premises (@p601)) % 0.36/0.60 (step @p431 :rule cong :premises (@p430) :args (@t66)) % 0.36/0.60 (step @p432 :rule trans :premises (@p139 @p431)) % 0.36/0.60 (step-pop @p605 :rule scope :premises (@p432)) % 0.36/0.60 (step-pop @p606 :rule scope :premises (@p605)) % 0.36/0.60 (step @p433 :rule process_scope :premises (@p606) :args (@t179)) % 0.36/0.60 (step @p436 :rule and_intro :premises (@p601 @p139)) % 0.36/0.60 (step @p437 :rule modus_ponens :premises (@p436 @p433)) % 0.36/0.60 (step @p438 :rule and_intro :premises (@p10 @p600 @p437 @p8)) % 0.36/0.60 (step-pop @p607 :rule scope :premises (@p438)) % 0.36/0.60 (step-pop @p608 :rule scope :premises (@p607)) % 0.36/0.60 (step-pop @p609 :rule scope :premises (@p608)) % 0.36/0.60 (step-pop @p610 :rule scope :premises (@p609)) % 0.36/0.60 (step-pop @p611 :rule scope :premises (@p610)) % 0.36/0.60 (step @p439 :rule process_scope :premises (@p611) :args (@t180)) % 0.36/0.60 (step @p445 :rule implies_elim :premises (@p439)) % 0.36/0.60 (step @p446 :rule resolution :premises (@p445 @p418) :args (true @t180)) % 0.36/0.60 (step @p447 :rule not_and :premises (@p446)) % 0.36/0.60 (step @p448 :rule eq_resolve :premises (@p447 @p404)) % 0.36/0.60 (step @p449 false :rule chain_m_resolution :premises (@p448 @p398 @p359 @p139 @p10 @p8) :args (false (@list false false false false true) (@list @t172 @t169 @t171 @t177 @t3))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------