%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG089+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG089+1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 01:39:33 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.e13 $$unsorted) % 0.37/0.60 (declare-const tptp.e12 $$unsorted) % 0.37/0.60 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.e11 $$unsorted) % 0.37/0.60 (declare-const tptp.e10 $$unsorted) % 0.37/0.60 (declare-const tptp.e24 $$unsorted) % 0.37/0.60 (declare-const tptp.e23 $$unsorted) % 0.37/0.60 (declare-const tptp.e22 $$unsorted) % 0.37/0.60 (declare-const tptp.e21 $$unsorted) % 0.37/0.60 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.e14 $$unsorted) % 0.37/0.60 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.e20 $$unsorted) % 0.37/0.60 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.37/0.60 (define @t1 () (= tptp.e20 tptp.e23)) % 0.37/0.60 (define @t2 () (not @t1)) % 0.37/0.60 (define @t3 () (tptp.op1 tptp.e14 tptp.e14)) % 0.37/0.60 (define @t4 () (tptp.op1 tptp.e14 tptp.e13)) % 0.37/0.60 (define @t5 () (tptp.op1 tptp.e14 tptp.e12)) % 0.37/0.60 (define @t6 () (tptp.op1 tptp.e14 tptp.e11)) % 0.37/0.60 (define @t7 () (tptp.op1 tptp.e14 tptp.e10)) % 0.37/0.60 (define @t8 () (tptp.op1 tptp.e13 tptp.e14)) % 0.37/0.60 (define @t9 () (tptp.op1 tptp.e13 tptp.e13)) % 0.37/0.60 (define @t10 () (tptp.op1 tptp.e13 tptp.e12)) % 0.37/0.60 (define @t11 () (tptp.op1 tptp.e13 tptp.e11)) % 0.37/0.60 (define @t12 () (tptp.op1 tptp.e13 tptp.e10)) % 0.37/0.60 (define @t13 () (tptp.op1 tptp.e12 tptp.e14)) % 0.37/0.60 (define @t14 () (tptp.op1 tptp.e12 tptp.e13)) % 0.37/0.60 (define @t15 () (tptp.op1 tptp.e12 tptp.e12)) % 0.37/0.60 (define @t16 () (tptp.op1 tptp.e12 tptp.e11)) % 0.37/0.60 (define @t17 () (tptp.op1 tptp.e12 tptp.e10)) % 0.37/0.60 (define @t18 () (tptp.op1 tptp.e11 tptp.e14)) % 0.37/0.60 (define @t19 () (tptp.op1 tptp.e11 tptp.e13)) % 0.37/0.60 (define @t20 () (tptp.op1 tptp.e11 tptp.e12)) % 0.37/0.60 (define @t21 () (tptp.op1 tptp.e11 tptp.e11)) % 0.37/0.60 (define @t22 () (tptp.op1 tptp.e11 tptp.e10)) % 0.37/0.60 (define @t23 () (tptp.op1 tptp.e10 tptp.e14)) % 0.37/0.60 (define @t24 () (tptp.op1 tptp.e10 tptp.e13)) % 0.37/0.60 (define @t25 () (tptp.op1 tptp.e10 tptp.e12)) % 0.37/0.60 (define @t26 () (tptp.op1 tptp.e10 tptp.e11)) % 0.37/0.60 (define @t27 () (tptp.op1 tptp.e10 tptp.e10)) % 0.37/0.60 (define @t28 () (tptp.op2 tptp.e24 tptp.e24)) % 0.37/0.60 (define @t29 () (tptp.op2 tptp.e24 tptp.e23)) % 0.37/0.60 (define @t30 () (tptp.op2 tptp.e24 tptp.e22)) % 0.37/0.60 (define @t31 () (tptp.op2 tptp.e24 tptp.e21)) % 0.37/0.60 (define @t32 () (tptp.op2 tptp.e24 tptp.e20)) % 0.37/0.60 (define @t33 () (tptp.op2 tptp.e23 tptp.e24)) % 0.37/0.60 (define @t34 () (tptp.op2 tptp.e23 tptp.e23)) % 0.37/0.60 (define @t35 () (tptp.op2 tptp.e23 tptp.e22)) % 0.37/0.60 (define @t36 () (tptp.op2 tptp.e23 tptp.e21)) % 0.37/0.60 (define @t37 () (tptp.op2 tptp.e23 tptp.e20)) % 0.37/0.60 (define @t38 () (tptp.op2 tptp.e22 tptp.e24)) % 0.37/0.60 (define @t39 () (tptp.op2 tptp.e22 tptp.e23)) % 0.37/0.60 (define @t40 () (tptp.op2 tptp.e22 tptp.e22)) % 0.37/0.60 (define @t41 () (tptp.op2 tptp.e22 tptp.e21)) % 0.37/0.60 (define @t42 () (tptp.op2 tptp.e22 tptp.e20)) % 0.37/0.60 (define @t43 () (tptp.op2 tptp.e21 tptp.e24)) % 0.37/0.60 (define @t44 () (tptp.op2 tptp.e21 tptp.e23)) % 0.37/0.60 (define @t45 () (tptp.op2 tptp.e21 tptp.e22)) % 0.37/0.60 (define @t46 () (tptp.op2 tptp.e21 tptp.e21)) % 0.37/0.60 (define @t47 () (tptp.op2 tptp.e21 tptp.e20)) % 0.37/0.60 (define @t48 () (tptp.op2 tptp.e20 tptp.e24)) % 0.37/0.60 (define @t49 () (tptp.op2 tptp.e20 tptp.e23)) % 0.37/0.60 (define @t50 () (tptp.op2 tptp.e20 tptp.e22)) % 0.37/0.60 (define @t51 () (tptp.op2 tptp.e20 tptp.e21)) % 0.37/0.60 (define @t52 () (tptp.op2 tptp.e20 tptp.e20)) % 0.37/0.60 (define @t53 () (tptp.h tptp.e14)) % 0.37/0.60 (define @t54 () (tptp.j @t53)) % 0.37/0.60 (define @t55 () (tptp.h tptp.e13)) % 0.37/0.60 (define @t56 () (tptp.j @t55)) % 0.37/0.60 (define @t57 () (tptp.h tptp.e12)) % 0.37/0.60 (define @t58 () (tptp.j @t57)) % 0.37/0.60 (define @t59 () (tptp.h tptp.e11)) % 0.37/0.60 (define @t60 () (tptp.j @t59)) % 0.37/0.60 (define @t61 () (tptp.h tptp.e10)) % 0.37/0.60 (define @t62 () (tptp.j @t61)) % 0.37/0.60 (define @t63 () (tptp.j tptp.e24)) % 0.37/0.60 (define @t64 () (tptp.h @t63)) % 0.37/0.60 (define @t65 () (tptp.j tptp.e23)) % 0.37/0.60 (define @t66 () (tptp.h @t65)) % 0.37/0.60 (define @t67 () (tptp.j tptp.e22)) % 0.37/0.60 (define @t68 () (tptp.h @t67)) % 0.37/0.60 (define @t69 () (tptp.j tptp.e21)) % 0.37/0.60 (define @t70 () (tptp.h @t69)) % 0.37/0.60 (define @t71 () (tptp.j tptp.e20)) % 0.37/0.60 (define @t72 () (tptp.h @t71)) % 0.37/0.60 (define @t73 () (= (tptp.j @t28) (tptp.op1 @t63 @t63))) % 0.37/0.60 (define @t74 () (= (tptp.j @t29) (tptp.op1 @t63 @t65))) % 0.37/0.60 (define @t75 () (= (tptp.j @t30) (tptp.op1 @t63 @t67))) % 0.37/0.60 (define @t76 () (= (tptp.j @t31) (tptp.op1 @t63 @t69))) % 0.37/0.60 (define @t77 () (= (tptp.j @t32) (tptp.op1 @t63 @t71))) % 0.37/0.60 (define @t78 () (= (tptp.j @t33) (tptp.op1 @t65 @t63))) % 0.37/0.60 (define @t79 () (= (tptp.j @t34) (tptp.op1 @t65 @t65))) % 0.37/0.60 (define @t80 () (= (tptp.j @t35) (tptp.op1 @t65 @t67))) % 0.37/0.60 (define @t81 () (= (tptp.j @t36) (tptp.op1 @t65 @t69))) % 0.37/0.60 (define @t82 () (= (tptp.j @t37) (tptp.op1 @t65 @t71))) % 0.37/0.60 (define @t83 () (= (tptp.j @t38) (tptp.op1 @t67 @t63))) % 0.37/0.60 (define @t84 () (= (tptp.j @t39) (tptp.op1 @t67 @t65))) % 0.37/0.60 (define @t85 () (= (tptp.j @t40) (tptp.op1 @t67 @t67))) % 0.37/0.60 (define @t86 () (= (tptp.j @t41) (tptp.op1 @t67 @t69))) % 0.37/0.60 (define @t87 () (= (tptp.j @t42) (tptp.op1 @t67 @t71))) % 0.37/0.60 (define @t88 () (= (tptp.j @t43) (tptp.op1 @t69 @t63))) % 0.37/0.60 (define @t89 () (= (tptp.j @t44) (tptp.op1 @t69 @t65))) % 0.37/0.60 (define @t90 () (= (tptp.j @t45) (tptp.op1 @t69 @t67))) % 0.37/0.60 (define @t91 () (= (tptp.j @t46) (tptp.op1 @t69 @t69))) % 0.37/0.60 (define @t92 () (= (tptp.j @t47) (tptp.op1 @t69 @t71))) % 0.37/0.60 (define @t93 () (= (tptp.j @t48) (tptp.op1 @t71 @t63))) % 0.37/0.60 (define @t94 () (= (tptp.j @t49) (tptp.op1 @t71 @t65))) % 0.37/0.60 (define @t95 () (= (tptp.j @t50) (tptp.op1 @t71 @t67))) % 0.37/0.60 (define @t96 () (= (tptp.j @t51) (tptp.op1 @t71 @t69))) % 0.37/0.60 (define @t97 () (= (tptp.j @t52) (tptp.op1 @t71 @t71))) % 0.37/0.60 (define @t98 () (tptp.h @t3)) % 0.37/0.60 (define @t99 () (= @t98 (tptp.op2 @t53 @t53))) % 0.37/0.60 (define @t100 () (= (tptp.h @t4) (tptp.op2 @t53 @t55))) % 0.37/0.60 (define @t101 () (= (tptp.h @t5) (tptp.op2 @t53 @t57))) % 0.37/0.60 (define @t102 () (= (tptp.h @t6) (tptp.op2 @t53 @t59))) % 0.37/0.60 (define @t103 () (= (tptp.h @t7) (tptp.op2 @t53 @t61))) % 0.37/0.60 (define @t104 () (= (tptp.h @t8) (tptp.op2 @t55 @t53))) % 0.37/0.60 (define @t105 () (tptp.h @t9)) % 0.37/0.60 (define @t106 () (= @t105 (tptp.op2 @t55 @t55))) % 0.37/0.60 (define @t107 () (= (tptp.h @t10) (tptp.op2 @t55 @t57))) % 0.37/0.60 (define @t108 () (= (tptp.h @t11) (tptp.op2 @t55 @t59))) % 0.37/0.60 (define @t109 () (= (tptp.h @t12) (tptp.op2 @t55 @t61))) % 0.37/0.60 (define @t110 () (= (tptp.h @t13) (tptp.op2 @t57 @t53))) % 0.37/0.60 (define @t111 () (= (tptp.h @t14) (tptp.op2 @t57 @t55))) % 0.37/0.60 (define @t112 () (tptp.h @t15)) % 0.37/0.60 (define @t113 () (= @t112 (tptp.op2 @t57 @t57))) % 0.37/0.60 (define @t114 () (= (tptp.h @t16) (tptp.op2 @t57 @t59))) % 0.37/0.60 (define @t115 () (= (tptp.h @t17) (tptp.op2 @t57 @t61))) % 0.37/0.60 (define @t116 () (= (tptp.h @t18) (tptp.op2 @t59 @t53))) % 0.37/0.60 (define @t117 () (= (tptp.h @t19) (tptp.op2 @t59 @t55))) % 0.37/0.60 (define @t118 () (= (tptp.h @t20) (tptp.op2 @t59 @t57))) % 0.37/0.60 (define @t119 () (tptp.h @t21)) % 0.37/0.60 (define @t120 () (= @t119 (tptp.op2 @t59 @t59))) % 0.37/0.60 (define @t121 () (= (tptp.h @t22) (tptp.op2 @t59 @t61))) % 0.37/0.60 (define @t122 () (= (tptp.h @t23) (tptp.op2 @t61 @t53))) % 0.37/0.60 (define @t123 () (= (tptp.h @t24) (tptp.op2 @t61 @t55))) % 0.37/0.60 (define @t124 () (= (tptp.h @t25) (tptp.op2 @t61 @t57))) % 0.37/0.60 (define @t125 () (= (tptp.h @t26) (tptp.op2 @t61 @t59))) % 0.37/0.60 (define @t126 () (tptp.h @t27)) % 0.37/0.60 (define @t127 () (= @t126 (tptp.op2 @t61 @t61))) % 0.37/0.60 (define @t128 () (and @t127 @t125 @t124 @t123 @t122 @t121 @t120 @t118 @t117 @t116 @t115 @t114 @t113 @t111 @t110 @t109 @t108 @t107 @t106 @t104 @t103 @t102 @t101 @t100 @t99 @t97 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 (= @t72 tptp.e20) (= @t70 tptp.e21) (= @t68 tptp.e22) (= @t66 tptp.e23) (= @t64 tptp.e24) (= @t62 tptp.e10) (= @t60 tptp.e11) (= @t58 tptp.e12) (= @t56 tptp.e13) (= @t54 tptp.e14))) % 0.37/0.60 (define @t129 () (not @t128)) % 0.37/0.60 (define @t130 () (or (= @t63 tptp.e10) (= @t63 tptp.e11) (= @t63 tptp.e12) (= @t63 tptp.e13) (= @t63 tptp.e14))) % 0.37/0.60 (define @t131 () (or (= @t65 tptp.e10) (= @t65 tptp.e11) (= @t65 tptp.e12) (= @t65 tptp.e13) (= @t65 tptp.e14))) % 0.37/0.60 (define @t132 () (or (= @t67 tptp.e10) (= @t67 tptp.e11) (= @t67 tptp.e12) (= @t67 tptp.e13) (= @t67 tptp.e14))) % 0.37/0.60 (define @t133 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14))) % 0.37/0.60 (define @t134 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14))) % 0.37/0.60 (define @t135 () (or (= @t53 tptp.e20) (= @t53 tptp.e21) (= @t53 tptp.e22) (= @t53 tptp.e23) (= @t53 tptp.e24))) % 0.37/0.60 (define @t136 () (or (= @t55 tptp.e20) (= @t55 tptp.e21) (= @t55 tptp.e22) (= @t55 tptp.e23) (= @t55 tptp.e24))) % 0.37/0.60 (define @t137 () (or (= @t57 tptp.e20) (= @t57 tptp.e21) (= @t57 tptp.e22) (= @t57 tptp.e23) (= @t57 tptp.e24))) % 0.37/0.60 (define @t138 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24))) % 0.37/0.60 (define @t139 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24))) % 0.37/0.60 (define @t140 () (and @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130)) % 0.37/0.60 (define @t141 () (=> @t140 @t129)) % 0.37/0.60 (define @t142 () (not @t141)) % 0.37/0.60 (define @t143 () (= tptp.e10 @t27)) % 0.37/0.60 (define @t144 () (= tptp.e20 @t28)) % 0.37/0.60 (define @t145 () (= tptp.e10 @t63)) % 0.37/0.60 (define @t146 () (= tptp.e24 @t64)) % 0.37/0.60 (define @t147 () (= tptp.e20 @t61)) % 0.37/0.60 (define @t148 () (and @t127 @t143 @t144 @t145 @t146)) % 0.37/0.60 (define @t149 () (not @t146)) % 0.37/0.60 (define @t150 () (not @t144)) % 0.37/0.60 (define @t151 () (= tptp.e10 @t21)) % 0.37/0.60 (define @t152 () (= tptp.e11 @t63)) % 0.37/0.60 (define @t153 () (and @t120 @t151 @t144 @t152 @t146)) % 0.37/0.60 (define @t154 () (not @t120)) % 0.37/0.60 (define @t155 () (not @t151)) % 0.37/0.60 (define @t156 () (= tptp.e10 @t15)) % 0.37/0.60 (define @t157 () (= tptp.e12 @t63)) % 0.37/0.60 (define @t158 () (and @t113 @t156 @t144 @t157 @t146)) % 0.37/0.60 (define @t159 () (not @t113)) % 0.37/0.60 (define @t160 () (not @t156)) % 0.37/0.60 (define @t161 () (= tptp.e10 @t9)) % 0.37/0.60 (define @t162 () (= tptp.e13 @t63)) % 0.37/0.60 (define @t163 () (and @t106 @t161 @t144 @t162 @t146)) % 0.37/0.60 (define @t164 () (not @t106)) % 0.37/0.60 (define @t165 () (not @t161)) % 0.37/0.60 (define @t166 () (= tptp.e10 @t3)) % 0.37/0.60 (define @t167 () (= tptp.e14 @t63)) % 0.37/0.60 (define @t168 () (and @t99 @t166 @t144 @t167 @t146)) % 0.37/0.60 (define @t169 () (not @t99)) % 0.37/0.60 (define @t170 () (not @t166)) % 0.37/0.60 (define @t171 () (= tptp.e21 @t61)) % 0.37/0.60 (define @t172 () (not @t171)) % 0.37/0.60 (define @t173 () (not @t147)) % 0.37/0.60 (define @t174 () (= tptp.e21 tptp.e20)) % 0.37/0.60 (define @t175 () (not @t174)) % 0.37/0.60 (define @t176 () (and @t175 @t147)) % 0.37/0.60 (define @t177 () (= tptp.e21 @t34)) % 0.37/0.60 (define @t178 () (= tptp.e14 @t65)) % 0.37/0.60 (define @t179 () (= tptp.e23 @t66)) % 0.37/0.60 (define @t180 () (and @t99 @t166 @t177 @t178 @t179)) % 0.37/0.60 (define @t181 () (not @t179)) % 0.37/0.60 (define @t182 () (not @t178)) % 0.37/0.60 (define @t183 () (not @t177)) % 0.37/0.60 (define @t184 () (@list true false false false false)) % 0.37/0.60 (define @t185 () (= tptp.e13 @t65)) % 0.37/0.60 (define @t186 () (and @t106 @t161 @t177 @t185 @t179)) % 0.37/0.60 (define @t187 () (not @t185)) % 0.37/0.60 (define @t188 () (= tptp.e11 @t65)) % 0.37/0.60 (define @t189 () (and @t120 @t151 @t177 @t188 @t179)) % 0.37/0.60 (define @t190 () (not @t188)) % 0.37/0.60 (define @t191 () (= tptp.e10 @t62)) % 0.37/0.60 (define @t192 () (not @t191)) % 0.37/0.60 (define @t193 () (= tptp.e20 @t72)) % 0.37/0.60 (define @t194 () (not @t193)) % 0.37/0.60 (define @t195 () (= tptp.e10 @t65)) % 0.37/0.60 (define @t196 () (not @t195)) % 0.37/0.60 (define @t197 () (= tptp.e20 @t52)) % 0.37/0.60 (define @t198 () (not @t197)) % 0.37/0.60 (define @t199 () (= tptp.e23 @t61)) % 0.37/0.60 (define @t200 () (and @t197 @t147 @t199 @t2)) % 0.37/0.60 (define @t201 () (= tptp.e12 @t65)) % 0.37/0.60 (define @t202 () (and @t113 @t156 @t177 @t201 @t179)) % 0.37/0.60 (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)))) % 0.37/0.60 (assume @p2 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) @t2 (not (= tptp.e20 tptp.e24)) (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)))) % 0.37/0.60 (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)))) % 0.37/0.60 (assume @p4 (and (= @t27 tptp.e10) (= @t26 tptp.e11) (= @t25 tptp.e12) (= @t24 tptp.e13) (= @t23 tptp.e14) (= @t22 tptp.e11) (= @t21 tptp.e10) (= @t20 tptp.e13) (= @t19 tptp.e14) (= @t18 tptp.e12) (= @t17 tptp.e12) (= @t16 tptp.e14) (= @t15 tptp.e10) (= @t14 tptp.e11) (= @t13 tptp.e13) (= @t12 tptp.e13) (= @t11 tptp.e12) (= @t10 tptp.e14) (= @t9 tptp.e10) (= @t8 tptp.e11) (= @t7 tptp.e14) (= @t6 tptp.e13) (= @t5 tptp.e11) (= @t4 tptp.e12) (= @t3 tptp.e10))) % 0.37/0.60 (assume @p5 (and (= @t52 tptp.e20) (= @t51 tptp.e21) (= @t50 tptp.e22) (= @t49 tptp.e23) (= @t48 tptp.e24) (= @t47 tptp.e21) (= @t46 tptp.e22) (= @t45 tptp.e24) (= @t44 tptp.e20) (= @t43 tptp.e23) (= @t42 tptp.e22) (= @t41 tptp.e20) (= @t40 tptp.e23) (= @t39 tptp.e24) (= @t38 tptp.e21) (= @t37 tptp.e23) (= @t36 tptp.e24) (= @t35 tptp.e20) (= @t34 tptp.e21) (= @t33 tptp.e22) (= @t32 tptp.e24) (= @t31 tptp.e23) (= @t30 tptp.e21) (= @t29 tptp.e22) (= @t28 tptp.e20))) % 0.37/0.60 (assume @p6 @t142) % 0.37/0.60 (assume @p7 true) % 0.37/0.60 (step @p8 :rule and_elim :premises (@p4) :args (12)) % 0.37/0.60 (step @p9 :rule symm :premises (@p8)) % 0.37/0.60 (step @p10 :rule and_elim :premises (@p5) :args (18)) % 0.37/0.60 (step @p11 :rule symm :premises (@p10)) % 0.37/0.60 (step @p12 :rule eq-symm :args (@t54 tptp.e14)) % 0.37/0.60 (step @p13 :rule eq-symm :args (@t56 tptp.e13)) % 0.37/0.60 (step @p14 :rule eq-symm :args (@t58 tptp.e12)) % 0.37/0.60 (step @p15 :rule eq-symm :args (@t60 tptp.e11)) % 0.37/0.60 (step @p16 :rule eq-symm :args (@t62 tptp.e10)) % 0.37/0.60 (step @p17 :rule eq-symm :args (@t64 tptp.e24)) % 0.37/0.60 (step @p18 :rule eq-symm :args (@t66 tptp.e23)) % 0.37/0.60 (step @p19 :rule eq-symm :args (@t68 tptp.e22)) % 0.37/0.60 (step @p20 :rule eq-symm :args (@t70 tptp.e21)) % 0.37/0.60 (step @p21 :rule eq-symm :args (@t72 tptp.e20)) % 0.37/0.60 (step @p22 :rule refl :args (@t73)) % 0.37/0.60 (step @p23 :rule refl :args (@t74)) % 0.37/0.60 (step @p24 :rule refl :args (@t75)) % 0.37/0.60 (step @p25 :rule refl :args (@t76)) % 0.37/0.60 (step @p26 :rule refl :args (@t77)) % 0.37/0.60 (step @p27 :rule refl :args (@t78)) % 0.37/0.60 (step @p28 :rule refl :args (@t79)) % 0.37/0.60 (step @p29 :rule refl :args (@t80)) % 0.37/0.60 (step @p30 :rule refl :args (@t81)) % 0.37/0.60 (step @p31 :rule refl :args (@t82)) % 0.37/0.60 (step @p32 :rule refl :args (@t83)) % 0.37/0.60 (step @p33 :rule refl :args (@t84)) % 0.37/0.60 (step @p34 :rule refl :args (@t85)) % 0.37/0.60 (step @p35 :rule refl :args (@t86)) % 0.37/0.60 (step @p36 :rule refl :args (@t87)) % 0.37/0.60 (step @p37 :rule refl :args (@t88)) % 0.37/0.60 (step @p38 :rule refl :args (@t89)) % 0.37/0.60 (step @p39 :rule refl :args (@t90)) % 0.37/0.60 (step @p40 :rule refl :args (@t91)) % 0.37/0.60 (step @p41 :rule refl :args (@t92)) % 0.37/0.60 (step @p42 :rule refl :args (@t93)) % 0.37/0.60 (step @p43 :rule refl :args (@t94)) % 0.37/0.60 (step @p44 :rule refl :args (@t95)) % 0.37/0.60 (step @p45 :rule refl :args (@t96)) % 0.37/0.60 (step @p46 :rule refl :args (@t97)) % 0.37/0.60 (step @p47 :rule refl :args (@t99)) % 0.37/0.60 (step @p48 :rule refl :args (@t100)) % 0.37/0.60 (step @p49 :rule refl :args (@t101)) % 0.37/0.60 (step @p50 :rule refl :args (@t102)) % 0.37/0.60 (step @p51 :rule refl :args (@t103)) % 0.37/0.60 (step @p52 :rule refl :args (@t104)) % 0.37/0.60 (step @p53 :rule refl :args (@t106)) % 0.37/0.60 (step @p54 :rule refl :args (@t107)) % 0.37/0.60 (step @p55 :rule refl :args (@t108)) % 0.37/0.60 (step @p56 :rule refl :args (@t109)) % 0.37/0.60 (step @p57 :rule refl :args (@t110)) % 0.37/0.60 (step @p58 :rule refl :args (@t111)) % 0.37/0.60 (step @p59 :rule refl :args (@t113)) % 0.37/0.60 (step @p60 :rule refl :args (@t114)) % 0.37/0.60 (step @p61 :rule refl :args (@t115)) % 0.37/0.60 (step @p62 :rule refl :args (@t116)) % 0.37/0.60 (step @p63 :rule refl :args (@t117)) % 0.37/0.60 (step @p64 :rule refl :args (@t118)) % 0.37/0.60 (step @p65 :rule refl :args (@t120)) % 0.37/0.60 (step @p66 :rule refl :args (@t121)) % 0.37/0.60 (step @p67 :rule refl :args (@t122)) % 0.37/0.60 (step @p68 :rule refl :args (@t123)) % 0.37/0.60 (step @p69 :rule refl :args (@t124)) % 0.37/0.60 (step @p70 :rule refl :args (@t125)) % 0.37/0.60 (step @p71 :rule refl :args (@t127)) % 0.37/0.60 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12) :args (@t128)) % 0.37/0.60 (step @p73 :rule cong :premises (@p72) :args (@t129)) % 0.37/0.60 (step @p74 :rule eq-symm :args (@t63 tptp.e14)) % 0.37/0.60 (step @p75 :rule eq-symm :args (@t63 tptp.e13)) % 0.37/0.60 (step @p76 :rule eq-symm :args (@t63 tptp.e12)) % 0.37/0.60 (step @p77 :rule eq-symm :args (@t63 tptp.e11)) % 0.37/0.60 (step @p78 :rule eq-symm :args (@t63 tptp.e10)) % 0.37/0.60 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76 @p75 @p74) :args (@t130)) % 0.37/0.60 (step @p80 :rule eq-symm :args (@t65 tptp.e14)) % 0.37/0.60 (step @p81 :rule eq-symm :args (@t65 tptp.e13)) % 0.37/0.60 (step @p82 :rule eq-symm :args (@t65 tptp.e12)) % 0.37/0.60 (step @p83 :rule eq-symm :args (@t65 tptp.e11)) % 0.37/0.60 (step @p84 :rule eq-symm :args (@t65 tptp.e10)) % 0.37/0.60 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @p80) :args (@t131)) % 0.37/0.60 (step @p86 :rule eq-symm :args (@t67 tptp.e14)) % 0.37/0.60 (step @p87 :rule eq-symm :args (@t67 tptp.e13)) % 0.37/0.60 (step @p88 :rule eq-symm :args (@t67 tptp.e12)) % 0.37/0.60 (step @p89 :rule eq-symm :args (@t67 tptp.e11)) % 0.37/0.60 (step @p90 :rule eq-symm :args (@t67 tptp.e10)) % 0.37/0.60 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88 @p87 @p86) :args (@t132)) % 0.37/0.60 (step @p92 :rule eq-symm :args (@t69 tptp.e14)) % 0.37/0.60 (step @p93 :rule eq-symm :args (@t69 tptp.e13)) % 0.37/0.60 (step @p94 :rule eq-symm :args (@t69 tptp.e12)) % 0.37/0.60 (step @p95 :rule eq-symm :args (@t69 tptp.e11)) % 0.37/0.60 (step @p96 :rule eq-symm :args (@t69 tptp.e10)) % 0.37/0.60 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93 @p92) :args (@t133)) % 0.37/0.60 (step @p98 :rule eq-symm :args (@t71 tptp.e14)) % 0.37/0.60 (step @p99 :rule eq-symm :args (@t71 tptp.e13)) % 0.37/0.60 (step @p100 :rule eq-symm :args (@t71 tptp.e12)) % 0.37/0.60 (step @p101 :rule eq-symm :args (@t71 tptp.e11)) % 0.37/0.60 (step @p102 :rule eq-symm :args (@t71 tptp.e10)) % 0.37/0.60 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99 @p98) :args (@t134)) % 0.37/0.60 (step @p104 :rule eq-symm :args (@t53 tptp.e24)) % 0.37/0.60 (step @p105 :rule eq-symm :args (@t53 tptp.e23)) % 0.37/0.60 (step @p106 :rule eq-symm :args (@t53 tptp.e22)) % 0.37/0.60 (step @p107 :rule eq-symm :args (@t53 tptp.e21)) % 0.37/0.60 (step @p108 :rule eq-symm :args (@t53 tptp.e20)) % 0.37/0.60 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p104) :args (@t135)) % 0.37/0.60 (step @p110 :rule eq-symm :args (@t55 tptp.e24)) % 0.37/0.60 (step @p111 :rule eq-symm :args (@t55 tptp.e23)) % 0.37/0.60 (step @p112 :rule eq-symm :args (@t55 tptp.e22)) % 0.37/0.60 (step @p113 :rule eq-symm :args (@t55 tptp.e21)) % 0.37/0.60 (step @p114 :rule eq-symm :args (@t55 tptp.e20)) % 0.37/0.60 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110) :args (@t136)) % 0.37/0.60 (step @p116 :rule eq-symm :args (@t57 tptp.e24)) % 0.37/0.60 (step @p117 :rule eq-symm :args (@t57 tptp.e23)) % 0.37/0.60 (step @p118 :rule eq-symm :args (@t57 tptp.e22)) % 0.37/0.60 (step @p119 :rule eq-symm :args (@t57 tptp.e21)) % 0.37/0.60 (step @p120 :rule eq-symm :args (@t57 tptp.e20)) % 0.37/0.60 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116) :args (@t137)) % 0.37/0.60 (step @p122 :rule eq-symm :args (@t59 tptp.e24)) % 0.37/0.60 (step @p123 :rule eq-symm :args (@t59 tptp.e23)) % 0.37/0.60 (step @p124 :rule eq-symm :args (@t59 tptp.e22)) % 0.37/0.60 (step @p125 :rule eq-symm :args (@t59 tptp.e21)) % 0.37/0.60 (step @p126 :rule eq-symm :args (@t59 tptp.e20)) % 0.37/0.60 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124 @p123 @p122) :args (@t138)) % 0.37/0.60 (step @p128 :rule eq-symm :args (@t61 tptp.e24)) % 0.37/0.60 (step @p129 :rule eq-symm :args (@t61 tptp.e23)) % 0.37/0.60 (step @p130 :rule eq-symm :args (@t61 tptp.e22)) % 0.37/0.60 (step @p131 :rule eq-symm :args (@t61 tptp.e21)) % 0.37/0.60 (step @p132 :rule eq-symm :args (@t61 tptp.e20)) % 0.37/0.60 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p129 @p128) :args (@t139)) % 0.37/0.60 (step @p134 :rule nary_cong :premises (@p133 @p127 @p121 @p115 @p109 @p103 @p97 @p91 @p85 @p79) :args (@t140)) % 0.37/0.60 (step @p135 :rule cong :premises (@p134 @p73) :args (@t141)) % 0.37/0.60 (step @p136 :rule cong :premises (@p135) :args (@t142)) % 0.37/0.60 (step @p137 :rule eq_resolve :premises (@p6 @p136)) % 0.37/0.60 (step @p138 :rule not_implies_elim2 :premises (@p137)) % 0.37/0.60 (step @p139 :rule not_not_elim :premises (@p138)) % 0.37/0.60 (step @p140 :rule and_elim :premises (@p139) :args (12)) % 0.37/0.60 (step @p141 :rule and_elim :premises (@p139) :args (53)) % 0.37/0.60 (step @p142 :rule and_elim :premises (@p4) :args (0)) % 0.37/0.60 (step @p143 :rule symm :premises (@p142)) % 0.37/0.60 (step @p144 :rule and_elim :premises (@p5) :args (24)) % 0.37/0.60 (step @p145 :rule symm :premises (@p144)) % 0.37/0.60 (step @p146 :rule and_elim :premises (@p139) :args (0)) % 0.37/0.60 (step @p147 :rule and_elim :premises (@p139) :args (54)) % 0.37/0.60 (assume-push @p574 @t127) % 0.37/0.60 (assume-push @p575 @t143) % 0.37/0.60 (assume-push @p576 @t144) % 0.37/0.60 (assume-push @p577 @t145) % 0.37/0.60 (assume-push @p578 @t146) % 0.37/0.60 (assume-push @p579 @t143) % 0.37/0.60 (assume-push @p580 @t127) % 0.37/0.60 (assume-push @p581 @t145) % 0.37/0.60 (assume-push @p582 @t146) % 0.37/0.60 (assume-push @p583 @t144) % 0.37/0.60 (step @p158 :rule cong :premises (@p142) :args (@t126)) % 0.37/0.60 (step @p159 :rule symm :premises (@p146)) % 0.37/0.60 (step @p160 :rule symm :premises (@p577)) % 0.37/0.60 (step @p161 :rule cong :premises (@p160) :args (@t64)) % 0.37/0.60 (step @p162 :rule trans :premises (@p147 @p161)) % 0.37/0.60 (step @p163 :rule cong :premises (@p162 @p162) :args (@t28)) % 0.37/0.60 (step @p164 :rule trans :premises (@p145 @p163 @p159 @p158)) % 0.37/0.60 (step-pop @p584 :rule scope :premises (@p164)) % 0.37/0.60 (step-pop @p585 :rule scope :premises (@p584)) % 0.37/0.60 (step-pop @p586 :rule scope :premises (@p585)) % 0.37/0.60 (step-pop @p587 :rule scope :premises (@p586)) % 0.37/0.60 (step-pop @p588 :rule scope :premises (@p587)) % 0.37/0.60 (step @p165 :rule process_scope :premises (@p588) :args (@t147)) % 0.37/0.60 (step @p171 :rule and_intro :premises (@p143 @p146 @p577 @p147 @p145)) % 0.37/0.60 (step @p172 :rule modus_ponens :premises (@p171 @p165)) % 0.37/0.60 (step-pop @p589 :rule scope :premises (@p172)) % 0.37/0.60 (step-pop @p590 :rule scope :premises (@p589)) % 0.37/0.60 (step-pop @p591 :rule scope :premises (@p590)) % 0.37/0.60 (step-pop @p592 :rule scope :premises (@p591)) % 0.37/0.60 (step-pop @p593 :rule scope :premises (@p592)) % 0.37/0.60 (step @p173 :rule process_scope :premises (@p593) :args (@t147)) % 0.37/0.60 (step @p179 :rule implies_elim :premises (@p173)) % 0.37/0.60 (step @p180 :rule cnf_and_neg :args (@t148)) % 0.37/0.60 (step @p181 :rule resolution :premises (@p180 @p179) :args (true @t148)) % 0.37/0.60 (step @p182 :rule reordering :premises (@p181) :args ((or @t147 (not @t143) @t150 (not @t145) (not @t127) @t149))) % 0.37/0.60 (step @p183 :rule and_elim :premises (@p4) :args (6)) % 0.37/0.60 (step @p184 :rule symm :premises (@p183)) % 0.37/0.60 (step @p185 :rule and_elim :premises (@p139) :args (6)) % 0.37/0.60 (assume-push @p594 @t120) % 0.37/0.60 (assume-push @p595 @t151) % 0.37/0.60 (assume-push @p596 @t144) % 0.37/0.60 (assume-push @p597 @t152) % 0.37/0.60 (assume-push @p598 @t146) % 0.37/0.60 (assume-push @p599 @t151) % 0.37/0.60 (assume-push @p600 @t120) % 0.37/0.60 (assume-push @p601 @t152) % 0.37/0.60 (assume-push @p602 @t146) % 0.37/0.60 (assume-push @p603 @t144) % 0.37/0.60 (step @p196 :rule cong :premises (@p183) :args (@t119)) % 0.37/0.60 (step @p197 :rule symm :premises (@p185)) % 0.37/0.60 (step @p198 :rule symm :premises (@p597)) % 0.37/0.60 (step @p199 :rule cong :premises (@p198) :args (@t64)) % 0.37/0.60 (step @p200 :rule trans :premises (@p147 @p199)) % 0.37/0.60 (step @p201 :rule cong :premises (@p200 @p200) :args (@t28)) % 0.37/0.60 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0.37/0.60 (step @p454 :rule modus_ponens :premises (@p453 @p447)) % 0.37/0.60 (step-pop @p737 :rule scope :premises (@p454)) % 0.37/0.60 (step-pop @p738 :rule scope :premises (@p737)) % 0.37/0.60 (step-pop @p739 :rule scope :premises (@p738)) % 0.37/0.60 (step-pop @p740 :rule scope :premises (@p739)) % 0.37/0.60 (step-pop @p741 :rule scope :premises (@p740)) % 0.37/0.60 (step @p455 :rule process_scope :premises (@p741) :args (@t171)) % 0.37/0.60 (step @p461 :rule implies_elim :premises (@p455)) % 0.37/0.60 (step @p462 :rule cnf_and_neg :args (@t189)) % 0.37/0.60 (step @p463 :rule resolution :premises (@p462 @p461) :args (true @t189)) % 0.37/0.60 (step @p464 :rule reordering :premises (@p463) :args ((or @t171 @t155 @t183 @t190 @t154 @t181))) % 0.37/0.60 (step @p465 :rule chain_m_resolution :premises (@p464 @p363 @p184 @p11 @p185 @p141) :args (@t190 @t184 (@list @t171 @t151 @t177 @t120 @t179))) % 0.37/0.60 (step @p466 :rule and_elim :premises (@p139) :args (55)) % 0.37/0.60 (step @p467 :rule and_elim :premises (@p139) :args (50)) % 0.37/0.60 (step @p468 :rule and_elim :premises (@p5) :args (0)) % 0.37/0.60 (step @p469 :rule symm :premises (@p468)) % 0.37/0.60 (step @p470 :rule and_elim :premises (@p2) :args (2)) % 0.37/0.60 (step @p471 :rule refl :args (@t192)) % 0.37/0.60 (step @p472 :rule refl :args (@t181)) % 0.37/0.60 (step @p473 :rule refl :args (@t194)) % 0.37/0.60 (step @p474 :rule refl :args (@t196)) % 0.37/0.60 (step @p475 :rule refl :args (@t198)) % 0.37/0.60 (step @p476 :rule bool-double-not-elim :args (@t1)) % 0.37/0.60 (step @p477 :rule nary_cong :premises (@p476 @p475 @p338 @p474 @p473 @p472 @p471) :args ((or (not @t2) @t198 @t173 @t196 @t194 @t181 @t192))) % 0.37/0.60 (assume-push @p742 @t197) % 0.37/0.60 (assume-push @p743 @t147) % 0.37/0.60 (assume-push @p744 @t199) % 0.37/0.60 (assume-push @p745 @t2) % 0.37/0.60 (step @p482 :rule evaluate :args ((= false true))) % 0.37/0.60 (step @p483 :rule symm :premises (@p743)) % 0.37/0.60 (step @p484 :rule trans :premises (@p744 @p483 @p469)) % 0.37/0.60 (step @p485 :rule symm :premises (@p484)) % 0.37/0.60 (step @p486 :rule trans :premises (@p469 @p485)) % 0.37/0.60 (step @p487 :rule true_intro :premises (@p486)) % 0.37/0.60 (step @p488 :rule false_intro :premises (@p470)) % 0.37/0.60 (step @p489 :rule symm :premises (@p488)) % 0.37/0.60 (step @p490 :rule trans :premises (@p489 @p487)) % 0.37/0.60 (step @p491 false :rule eq_resolve :premises (@p490 @p482)) % 0.37/0.60 (step-pop @p746 :rule scope :premises (@p491)) % 0.37/0.60 (step-pop @p747 :rule scope :premises (@p746)) % 0.37/0.60 (step-pop @p748 :rule scope :premises (@p747)) % 0.37/0.60 (step-pop @p749 :rule scope :premises (@p748)) % 0.37/0.60 (step @p492 :rule process_scope :premises (@p749) :args (false)) % 0.37/0.60 (assume-push @p750 @t2) % 0.37/0.60 (assume-push @p751 @t197) % 0.37/0.60 (assume-push @p752 @t147) % 0.37/0.60 (assume-push @p753 @t195) % 0.37/0.60 (assume-push @p754 @t193) % 0.37/0.60 (assume-push @p755 @t179) % 0.37/0.60 (assume-push @p756 @t191) % 0.37/0.60 (assume-push @p757 @t147) % 0.37/0.60 (assume-push @p758 @t193) % 0.37/0.60 (assume-push @p759 @t191) % 0.37/0.60 (assume-push @p760 @t195) % 0.37/0.60 (assume-push @p761 @t179) % 0.37/0.60 (step @p509 :rule symm :premises (@p467)) % 0.37/0.60 (step @p510 :rule symm :premises (@p752)) % 0.37/0.60 (step @p511 :rule cong :premises (@p510) :args (@t62)) % 0.37/0.60 (step @p512 :rule symm :premises (@p753)) % 0.37/0.60 (step @p513 :rule trans :premises (@p512 @p466 @p511)) % 0.37/0.60 (step @p514 :rule cong :premises (@p513) :args (@t66)) % 0.37/0.60 (step @p515 :rule trans :premises (@p141 @p514 @p509 @p752)) % 0.37/0.60 (step-pop @p762 :rule scope :premises (@p515)) % 0.37/0.60 (step-pop @p763 :rule scope :premises (@p762)) % 0.37/0.60 (step-pop @p764 :rule scope :premises (@p763)) % 0.37/0.60 (step-pop @p765 :rule scope :premises (@p764)) % 0.37/0.60 (step-pop @p766 :rule scope :premises (@p765)) % 0.37/0.60 (step @p516 :rule process_scope :premises (@p766) :args (@t199)) % 0.37/0.60 (step @p522 :rule and_intro :premises (@p752 @p467 @p466 @p753 @p141)) % 0.37/0.60 (step @p523 :rule modus_ponens :premises (@p522 @p516)) % 0.37/0.60 (step @p524 :rule and_intro :premises (@p469 @p752 @p523 @p470)) % 0.37/0.60 (step-pop @p767 :rule scope :premises (@p524)) % 0.37/0.60 (step-pop @p768 :rule scope :premises (@p767)) % 0.37/0.60 (step-pop @p769 :rule scope :premises (@p768)) % 0.37/0.60 (step-pop @p770 :rule scope :premises (@p769)) % 0.37/0.60 (step-pop @p771 :rule scope :premises (@p770)) % 0.37/0.60 (step-pop @p772 :rule scope :premises (@p771)) % 0.37/0.60 (step-pop @p773 :rule scope :premises (@p772)) % 0.37/0.60 (step @p525 :rule process_scope :premises (@p773) :args (@t200)) % 0.37/0.60 (step @p533 :rule implies_elim :premises (@p525)) % 0.37/0.60 (step @p534 :rule resolution :premises (@p533 @p492) :args (true @t200)) % 0.37/0.60 (step @p535 :rule not_and :premises (@p534)) % 0.37/0.60 (step @p536 :rule eq_resolve :premises (@p535 @p477)) % 0.37/0.60 (step @p537 :rule chain_m_resolution :premises (@p536 @p470 @p469 @p334 @p467 @p141 @p466) :args (@t196 (@list true false false false false false) (@list @t1 @t197 @t147 @t193 @t179 @t191))) % 0.37/0.60 (step @p538 :rule and_elim :premises (@p294) :args (8)) % 0.37/0.60 (step @p539 :rule chain_m_resolution :premises (@p538 @p537 @p465 @p431 @p397) :args (@t201 (@list true true true true) (@list @t195 @t188 @t185 @t178))) % 0.37/0.60 (assume-push @p774 @t113) % 0.37/0.60 (assume-push @p775 @t156) % 0.37/0.60 (assume-push @p776 @t177) % 0.37/0.60 (assume-push @p777 @t201) % 0.37/0.60 (assume-push @p778 @t179) % 0.37/0.60 (assume-push @p779 @t156) % 0.37/0.60 (assume-push @p780 @t113) % 0.37/0.60 (assume-push @p781 @t201) % 0.37/0.60 (assume-push @p782 @t179) % 0.37/0.60 (assume-push @p783 @t177) % 0.37/0.60 (step @p231 :rule cong :premises (@p8) :args (@t112)) % 0.37/0.60 (step @p232 :rule symm :premises (@p140)) % 0.37/0.60 (step @p550 :rule symm :premises (@p777)) % 0.37/0.60 (step @p551 :rule cong :premises (@p550) :args (@t66)) % 0.37/0.60 (step @p552 :rule trans :premises (@p141 @p551)) % 0.37/0.60 (step @p553 :rule cong :premises (@p552 @p552) :args (@t34)) % 0.37/0.60 (step @p554 :rule trans :premises (@p11 @p553 @p232 @p231)) % 0.37/0.60 (step-pop @p784 :rule scope :premises (@p554)) % 0.37/0.60 (step-pop @p785 :rule scope :premises (@p784)) % 0.37/0.60 (step-pop @p786 :rule scope :premises (@p785)) % 0.37/0.60 (step-pop @p787 :rule scope :premises (@p786)) % 0.37/0.60 (step-pop @p788 :rule scope :premises (@p787)) % 0.37/0.60 (step @p555 :rule process_scope :premises (@p788) :args (@t171)) % 0.37/0.60 (step @p561 :rule and_intro :premises (@p9 @p140 @p777 @p141 @p11)) % 0.37/0.60 (step @p562 :rule modus_ponens :premises (@p561 @p555)) % 0.37/0.60 (step-pop @p789 :rule scope :premises (@p562)) % 0.37/0.60 (step-pop @p790 :rule scope :premises (@p789)) % 0.37/0.60 (step-pop @p791 :rule scope :premises (@p790)) % 0.37/0.60 (step-pop @p792 :rule scope :premises (@p791)) % 0.37/0.60 (step-pop @p793 :rule scope :premises (@p792)) % 0.37/0.60 (step @p563 :rule process_scope :premises (@p793) :args (@t171)) % 0.37/0.60 (step @p569 :rule implies_elim :premises (@p563)) % 0.37/0.60 (step @p570 :rule cnf_and_neg :args (@t202)) % 0.37/0.60 (step @p571 :rule resolution :premises (@p570 @p569) :args (true @t202)) % 0.37/0.60 (step @p572 :rule reordering :premises (@p571) :args ((or @t171 @t160 @t183 (not @t201) @t159 @t181))) % 0.37/0.60 (step @p573 false :rule chain_m_resolution :premises (@p572 @p539 @p363 @p141 @p140 @p11 @p9) :args (false (@list false true false false false false) (@list @t201 @t171 @t179 @t113 @t177 @t156))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------