%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG182+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 : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:05:26 AM UTC 2026 % Result : Theorem 0.44s 0.62s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG182+1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n021.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 01:42:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.62 % SZS status Theorem % 0.44/0.62 % SZS output start Proof % 0.44/0.62 ( % 0.44/0.62 (declare-sort $$unsorted 0) % 0.44/0.62 (declare-const tptp.e13 $$unsorted) % 0.44/0.62 (declare-const tptp.e12 $$unsorted) % 0.44/0.62 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.44/0.62 (declare-const tptp.e11 $$unsorted) % 0.44/0.62 (declare-const tptp.e10 $$unsorted) % 0.44/0.62 (declare-const tptp.e24 $$unsorted) % 0.44/0.62 (declare-const tptp.e23 $$unsorted) % 0.44/0.62 (declare-const tptp.e22 $$unsorted) % 0.44/0.62 (declare-const tptp.e21 $$unsorted) % 0.44/0.62 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.62 (declare-const tptp.e14 $$unsorted) % 0.44/0.62 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.62 (declare-const tptp.e20 $$unsorted) % 0.44/0.62 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.44/0.62 (define @t1 () (= tptp.e11 tptp.e14)) % 0.44/0.62 (define @t2 () (not @t1)) % 0.44/0.62 (define @t3 () (= tptp.e10 tptp.e13)) % 0.44/0.62 (define @t4 () (not @t3)) % 0.44/0.62 (define @t5 () (= tptp.e23 tptp.e24)) % 0.44/0.62 (define @t6 () (not @t5)) % 0.44/0.62 (define @t7 () (= tptp.e22 tptp.e23)) % 0.44/0.62 (define @t8 () (not @t7)) % 0.44/0.62 (define @t9 () (tptp.op1 tptp.e14 tptp.e14)) % 0.44/0.62 (define @t10 () (tptp.op1 tptp.e14 tptp.e13)) % 0.44/0.62 (define @t11 () (tptp.op1 tptp.e14 tptp.e12)) % 0.44/0.62 (define @t12 () (tptp.op1 tptp.e14 tptp.e11)) % 0.44/0.62 (define @t13 () (tptp.op1 tptp.e14 tptp.e10)) % 0.44/0.62 (define @t14 () (tptp.op1 tptp.e13 tptp.e14)) % 0.44/0.62 (define @t15 () (tptp.op1 tptp.e13 tptp.e13)) % 0.44/0.62 (define @t16 () (tptp.op1 tptp.e13 tptp.e12)) % 0.44/0.62 (define @t17 () (tptp.op1 tptp.e13 tptp.e11)) % 0.44/0.62 (define @t18 () (tptp.op1 tptp.e13 tptp.e10)) % 0.44/0.62 (define @t19 () (tptp.op1 tptp.e12 tptp.e14)) % 0.44/0.62 (define @t20 () (tptp.op1 tptp.e12 tptp.e13)) % 0.44/0.62 (define @t21 () (tptp.op1 tptp.e12 tptp.e12)) % 0.44/0.62 (define @t22 () (tptp.op1 tptp.e12 tptp.e11)) % 0.44/0.62 (define @t23 () (tptp.op1 tptp.e12 tptp.e10)) % 0.44/0.62 (define @t24 () (tptp.op1 tptp.e11 tptp.e14)) % 0.44/0.62 (define @t25 () (tptp.op1 tptp.e11 tptp.e13)) % 0.44/0.62 (define @t26 () (tptp.op1 tptp.e11 tptp.e12)) % 0.44/0.62 (define @t27 () (tptp.op1 tptp.e11 tptp.e11)) % 0.44/0.62 (define @t28 () (tptp.op1 tptp.e11 tptp.e10)) % 0.44/0.62 (define @t29 () (tptp.op1 tptp.e10 tptp.e14)) % 0.44/0.62 (define @t30 () (tptp.op1 tptp.e10 tptp.e13)) % 0.44/0.62 (define @t31 () (tptp.op1 tptp.e10 tptp.e12)) % 0.44/0.62 (define @t32 () (tptp.op1 tptp.e10 tptp.e11)) % 0.44/0.62 (define @t33 () (tptp.op1 tptp.e10 tptp.e10)) % 0.44/0.62 (define @t34 () (tptp.op2 tptp.e24 tptp.e24)) % 0.44/0.62 (define @t35 () (tptp.op2 tptp.e24 tptp.e23)) % 0.44/0.62 (define @t36 () (tptp.op2 tptp.e24 tptp.e22)) % 0.44/0.62 (define @t37 () (tptp.op2 tptp.e24 tptp.e21)) % 0.44/0.62 (define @t38 () (tptp.op2 tptp.e24 tptp.e20)) % 0.44/0.62 (define @t39 () (tptp.op2 tptp.e23 tptp.e24)) % 0.44/0.62 (define @t40 () (tptp.op2 tptp.e23 tptp.e23)) % 0.44/0.62 (define @t41 () (tptp.op2 tptp.e23 tptp.e22)) % 0.44/0.62 (define @t42 () (tptp.op2 tptp.e23 tptp.e21)) % 0.44/0.62 (define @t43 () (tptp.op2 tptp.e23 tptp.e20)) % 0.44/0.62 (define @t44 () (tptp.op2 tptp.e22 tptp.e24)) % 0.44/0.62 (define @t45 () (tptp.op2 tptp.e22 tptp.e23)) % 0.44/0.62 (define @t46 () (tptp.op2 tptp.e22 tptp.e22)) % 0.44/0.62 (define @t47 () (tptp.op2 tptp.e22 tptp.e21)) % 0.44/0.62 (define @t48 () (tptp.op2 tptp.e22 tptp.e20)) % 0.44/0.62 (define @t49 () (tptp.op2 tptp.e21 tptp.e24)) % 0.44/0.62 (define @t50 () (tptp.op2 tptp.e21 tptp.e23)) % 0.44/0.62 (define @t51 () (tptp.op2 tptp.e21 tptp.e22)) % 0.44/0.62 (define @t52 () (tptp.op2 tptp.e21 tptp.e21)) % 0.44/0.62 (define @t53 () (tptp.op2 tptp.e21 tptp.e20)) % 0.44/0.62 (define @t54 () (tptp.op2 tptp.e20 tptp.e24)) % 0.44/0.62 (define @t55 () (tptp.op2 tptp.e20 tptp.e23)) % 0.44/0.62 (define @t56 () (tptp.op2 tptp.e20 tptp.e22)) % 0.44/0.62 (define @t57 () (tptp.op2 tptp.e20 tptp.e21)) % 0.44/0.62 (define @t58 () (tptp.op2 tptp.e20 tptp.e20)) % 0.44/0.62 (define @t59 () (tptp.h tptp.e14)) % 0.44/0.62 (define @t60 () (tptp.j @t59)) % 0.44/0.62 (define @t61 () (tptp.h tptp.e13)) % 0.44/0.62 (define @t62 () (tptp.j @t61)) % 0.44/0.62 (define @t63 () (tptp.h tptp.e12)) % 0.44/0.62 (define @t64 () (tptp.j @t63)) % 0.44/0.62 (define @t65 () (tptp.h tptp.e11)) % 0.44/0.62 (define @t66 () (tptp.j @t65)) % 0.44/0.62 (define @t67 () (tptp.h tptp.e10)) % 0.44/0.62 (define @t68 () (tptp.j @t67)) % 0.44/0.62 (define @t69 () (tptp.j tptp.e24)) % 0.44/0.62 (define @t70 () (tptp.h @t69)) % 0.44/0.62 (define @t71 () (tptp.j tptp.e23)) % 0.44/0.62 (define @t72 () (tptp.h @t71)) % 0.44/0.62 (define @t73 () (tptp.j tptp.e22)) % 0.44/0.62 (define @t74 () (tptp.h @t73)) % 0.44/0.62 (define @t75 () (tptp.j tptp.e21)) % 0.44/0.62 (define @t76 () (tptp.h @t75)) % 0.44/0.62 (define @t77 () (tptp.j tptp.e20)) % 0.44/0.62 (define @t78 () (tptp.h @t77)) % 0.44/0.62 (define @t79 () (= (tptp.j @t34) (tptp.op1 @t69 @t69))) % 0.44/0.62 (define @t80 () (tptp.j @t35)) % 0.44/0.62 (define @t81 () (= @t80 (tptp.op1 @t69 @t71))) % 0.44/0.62 (define @t82 () (= (tptp.j @t36) (tptp.op1 @t69 @t73))) % 0.44/0.62 (define @t83 () (tptp.j @t37)) % 0.44/0.62 (define @t84 () (= @t83 (tptp.op1 @t69 @t75))) % 0.44/0.62 (define @t85 () (= (tptp.j @t38) (tptp.op1 @t69 @t77))) % 0.44/0.62 (define @t86 () (tptp.j @t39)) % 0.44/0.62 (define @t87 () (= @t86 (tptp.op1 @t71 @t69))) % 0.44/0.62 (define @t88 () (tptp.j @t40)) % 0.44/0.62 (define @t89 () (= @t88 (tptp.op1 @t71 @t71))) % 0.44/0.62 (define @t90 () (tptp.j @t41)) % 0.44/0.62 (define @t91 () (= @t90 (tptp.op1 @t71 @t73))) % 0.44/0.62 (define @t92 () (= (tptp.j @t42) (tptp.op1 @t71 @t75))) % 0.44/0.62 (define @t93 () (= (tptp.j @t43) (tptp.op1 @t71 @t77))) % 0.44/0.62 (define @t94 () (= (tptp.j @t44) (tptp.op1 @t73 @t69))) % 0.44/0.62 (define @t95 () (= (tptp.j @t45) (tptp.op1 @t73 @t71))) % 0.44/0.62 (define @t96 () (tptp.j @t46)) % 0.44/0.62 (define @t97 () (= @t96 (tptp.op1 @t73 @t73))) % 0.44/0.62 (define @t98 () (tptp.j @t47)) % 0.44/0.62 (define @t99 () (= @t98 (tptp.op1 @t73 @t75))) % 0.44/0.62 (define @t100 () (= (tptp.j @t48) (tptp.op1 @t73 @t77))) % 0.44/0.62 (define @t101 () (= (tptp.j @t49) (tptp.op1 @t75 @t69))) % 0.44/0.62 (define @t102 () (= (tptp.j @t50) (tptp.op1 @t75 @t71))) % 0.44/0.62 (define @t103 () (= (tptp.j @t51) (tptp.op1 @t75 @t73))) % 0.44/0.62 (define @t104 () (= (tptp.j @t52) (tptp.op1 @t75 @t75))) % 0.44/0.62 (define @t105 () (= (tptp.j @t53) (tptp.op1 @t75 @t77))) % 0.44/0.62 (define @t106 () (= (tptp.j @t54) (tptp.op1 @t77 @t69))) % 0.44/0.62 (define @t107 () (= (tptp.j @t55) (tptp.op1 @t77 @t71))) % 0.44/0.62 (define @t108 () (= (tptp.j @t56) (tptp.op1 @t77 @t73))) % 0.44/0.62 (define @t109 () (= (tptp.j @t57) (tptp.op1 @t77 @t75))) % 0.44/0.62 (define @t110 () (= (tptp.j @t58) (tptp.op1 @t77 @t77))) % 0.44/0.62 (define @t111 () (= (tptp.h @t9) (tptp.op2 @t59 @t59))) % 0.44/0.62 (define @t112 () (= (tptp.h @t10) (tptp.op2 @t59 @t61))) % 0.44/0.62 (define @t113 () (= (tptp.h @t11) (tptp.op2 @t59 @t63))) % 0.44/0.62 (define @t114 () (= (tptp.h @t12) (tptp.op2 @t59 @t65))) % 0.44/0.62 (define @t115 () (= (tptp.h @t13) (tptp.op2 @t59 @t67))) % 0.44/0.62 (define @t116 () (= (tptp.h @t14) (tptp.op2 @t61 @t59))) % 0.44/0.62 (define @t117 () (= (tptp.h @t15) (tptp.op2 @t61 @t61))) % 0.44/0.62 (define @t118 () (= (tptp.h @t16) (tptp.op2 @t61 @t63))) % 0.44/0.62 (define @t119 () (= (tptp.h @t17) (tptp.op2 @t61 @t65))) % 0.44/0.62 (define @t120 () (= (tptp.h @t18) (tptp.op2 @t61 @t67))) % 0.44/0.62 (define @t121 () (= (tptp.h @t19) (tptp.op2 @t63 @t59))) % 0.44/0.62 (define @t122 () (= (tptp.h @t20) (tptp.op2 @t63 @t61))) % 0.44/0.62 (define @t123 () (= (tptp.h @t21) (tptp.op2 @t63 @t63))) % 0.44/0.62 (define @t124 () (= (tptp.h @t22) (tptp.op2 @t63 @t65))) % 0.44/0.62 (define @t125 () (= (tptp.h @t23) (tptp.op2 @t63 @t67))) % 0.44/0.62 (define @t126 () (= (tptp.h @t24) (tptp.op2 @t65 @t59))) % 0.44/0.62 (define @t127 () (= (tptp.h @t25) (tptp.op2 @t65 @t61))) % 0.44/0.62 (define @t128 () (= (tptp.h @t26) (tptp.op2 @t65 @t63))) % 0.44/0.62 (define @t129 () (= (tptp.h @t27) (tptp.op2 @t65 @t65))) % 0.44/0.62 (define @t130 () (= (tptp.h @t28) (tptp.op2 @t65 @t67))) % 0.44/0.62 (define @t131 () (= (tptp.h @t29) (tptp.op2 @t67 @t59))) % 0.44/0.62 (define @t132 () (= (tptp.h @t30) (tptp.op2 @t67 @t61))) % 0.44/0.62 (define @t133 () (= (tptp.h @t31) (tptp.op2 @t67 @t63))) % 0.44/0.62 (define @t134 () (= (tptp.h @t32) (tptp.op2 @t67 @t65))) % 0.44/0.62 (define @t135 () (= (tptp.h @t33) (tptp.op2 @t67 @t67))) % 0.44/0.62 (define @t136 () (and @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @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 @t97 @t95 @t94 @t93 @t92 @t91 @t89 @t87 @t85 @t84 @t82 @t81 @t79 (= @t78 tptp.e20) (= @t76 tptp.e21) (= @t74 tptp.e22) (= @t72 tptp.e23) (= @t70 tptp.e24) (= @t68 tptp.e10) (= @t66 tptp.e11) (= @t64 tptp.e12) (= @t62 tptp.e13) (= @t60 tptp.e14))) % 0.44/0.62 (define @t137 () (not @t136)) % 0.44/0.62 (define @t138 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14))) % 0.44/0.62 (define @t139 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14))) % 0.44/0.62 (define @t140 () (or (= @t73 tptp.e10) (= @t73 tptp.e11) (= @t73 tptp.e12) (= @t73 tptp.e13) (= @t73 tptp.e14))) % 0.44/0.62 (define @t141 () (or (= @t75 tptp.e10) (= @t75 tptp.e11) (= @t75 tptp.e12) (= @t75 tptp.e13) (= @t75 tptp.e14))) % 0.44/0.62 (define @t142 () (or (= @t77 tptp.e10) (= @t77 tptp.e11) (= @t77 tptp.e12) (= @t77 tptp.e13) (= @t77 tptp.e14))) % 0.44/0.62 (define @t143 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24))) % 0.44/0.62 (define @t144 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24))) % 0.44/0.62 (define @t145 () (or (= @t63 tptp.e20) (= @t63 tptp.e21) (= @t63 tptp.e22) (= @t63 tptp.e23) (= @t63 tptp.e24))) % 0.44/0.62 (define @t146 () (or (= @t65 tptp.e20) (= @t65 tptp.e21) (= @t65 tptp.e22) (= @t65 tptp.e23) (= @t65 tptp.e24))) % 0.44/0.62 (define @t147 () (or (= @t67 tptp.e20) (= @t67 tptp.e21) (= @t67 tptp.e22) (= @t67 tptp.e23) (= @t67 tptp.e24))) % 0.44/0.62 (define @t148 () (and @t147 @t146 @t145 @t144 @t143 @t142 @t141 @t140 @t139 @t138)) % 0.44/0.62 (define @t149 () (=> @t148 @t137)) % 0.44/0.62 (define @t150 () (not @t149)) % 0.44/0.62 (define @t151 () (= tptp.e22 @t63)) % 0.44/0.62 (define @t152 () (not @t151)) % 0.44/0.62 (define @t153 () (= tptp.e23 @t72)) % 0.44/0.62 (define @t154 () (not @t153)) % 0.44/0.62 (define @t155 () (= tptp.e12 @t71)) % 0.44/0.62 (define @t156 () (not @t155)) % 0.44/0.62 (define @t157 () (= tptp.e23 @t63)) % 0.44/0.62 (define @t158 () (and @t8 @t155 @t153)) % 0.44/0.62 (define @t159 () (not @t157)) % 0.44/0.62 (define @t160 () (= tptp.e24 @t70)) % 0.44/0.62 (define @t161 () (not @t160)) % 0.44/0.62 (define @t162 () (= tptp.e12 @t69)) % 0.44/0.62 (define @t163 () (not @t162)) % 0.44/0.62 (define @t164 () (= tptp.e24 @t63)) % 0.44/0.62 (define @t165 () (and @t6 @t162 @t160)) % 0.44/0.62 (define @t166 () (and @t155 @t162 @t153)) % 0.44/0.62 (define @t167 () (= tptp.e14 @t71)) % 0.44/0.62 (define @t168 () (= tptp.e11 @t71)) % 0.44/0.62 (define @t169 () (not @t168)) % 0.44/0.62 (define @t170 () (= tptp.e22 @t39)) % 0.44/0.62 (define @t171 () (not @t170)) % 0.44/0.62 (define @t172 () (= tptp.e22 @t37)) % 0.44/0.62 (define @t173 () (not @t172)) % 0.44/0.62 (define @t174 () (= tptp.e21 @t35)) % 0.44/0.62 (define @t175 () (not @t174)) % 0.44/0.62 (define @t176 () (= tptp.e11 @t30)) % 0.44/0.62 (define @t177 () (not @t176)) % 0.44/0.62 (define @t178 () (= tptp.e11 @t26)) % 0.44/0.62 (define @t179 () (not @t178)) % 0.44/0.62 (define @t180 () (= tptp.e13 @t22)) % 0.44/0.62 (define @t181 () (not @t180)) % 0.44/0.62 (define @t182 () (= tptp.e14 @t20)) % 0.44/0.62 (define @t183 () (not @t182)) % 0.44/0.62 (define @t184 () (not @t81)) % 0.44/0.62 (define @t185 () (not @t84)) % 0.44/0.62 (define @t186 () (not @t87)) % 0.44/0.62 (define @t187 () (not @t167)) % 0.44/0.62 (define @t188 () (= tptp.e11 @t73)) % 0.44/0.62 (define @t189 () (= tptp.e14 @t73)) % 0.44/0.62 (define @t190 () (= false true)) % 0.44/0.62 (define @t191 () (and @t176 @t188 @t189 @t168 @t187)) % 0.44/0.62 (define @t192 () (not @t2)) % 0.44/0.62 (define @t193 () (and @t176 @t168 @t167 @t2)) % 0.44/0.62 (define @t194 () (= tptp.e10 @t15)) % 0.44/0.62 (define @t195 () (= tptp.e23 @t40)) % 0.44/0.62 (define @t196 () (= tptp.e13 @t71)) % 0.44/0.62 (define @t197 () (= tptp.e10 @t71)) % 0.44/0.62 (define @t198 () (and @t89 @t194 @t195 @t196)) % 0.44/0.62 (define @t199 () (not @t89)) % 0.44/0.62 (define @t200 () (not @t196)) % 0.44/0.62 (define @t201 () (not @t195)) % 0.44/0.62 (define @t202 () (not @t194)) % 0.44/0.62 (define @t203 () (= tptp.e11 @t9)) % 0.44/0.62 (define @t204 () (and @t89 @t203 @t195 @t167)) % 0.44/0.62 (define @t205 () (not @t203)) % 0.44/0.62 (define @t206 () (not @t197)) % 0.44/0.62 (define @t207 () (= tptp.e10 @t31)) % 0.44/0.62 (define @t208 () (not @t207)) % 0.44/0.62 (define @t209 () (= tptp.e11 @t23)) % 0.44/0.62 (define @t210 () (not @t209)) % 0.44/0.62 (define @t211 () (= tptp.e10 @t73)) % 0.44/0.62 (define @t212 () (= tptp.e13 @t73)) % 0.44/0.62 (define @t213 () (and @t207 @t211 @t212 @t197 @t200)) % 0.44/0.62 (define @t214 () (and @t207 @t197 @t196 @t4)) % 0.44/0.62 (define @t215 () (= tptp.e12 @t32)) % 0.44/0.62 (define @t216 () (= tptp.e21 @t41)) % 0.44/0.62 (define @t217 () (= tptp.e24 @t47)) % 0.44/0.62 (define @t218 () (and @t99 @t91 @t209 @t215 @t216 @t217 @t211 @t155)) % 0.44/0.62 (define @t219 () (not @t91)) % 0.44/0.62 (define @t220 () (not @t99)) % 0.44/0.62 (define @t221 () (not @t216)) % 0.44/0.62 (define @t222 () (not @t217)) % 0.44/0.62 (define @t223 () (= tptp.e12 @t25)) % 0.44/0.62 (define @t224 () (and @t99 @t91 @t180 @t223 @t216 @t217 @t188 @t155)) % 0.44/0.62 (define @t225 () (= tptp.e12 @t73)) % 0.44/0.62 (define @t226 () (= tptp.e22 @t74)) % 0.44/0.62 (define @t227 () (and @t225 @t155 @t226)) % 0.44/0.62 (define @t228 () (not @t189)) % 0.44/0.62 (define @t229 () (= tptp.e22 @t46)) % 0.44/0.62 (define @t230 () (not @t229)) % 0.44/0.62 (define @t231 () (not @t97)) % 0.44/0.62 (define @t232 () (and @t189 @t188 @t2)) % 0.44/0.62 (define @t233 () (@list true false false false)) % 0.44/0.62 (define @t234 () (and @t97 @t194 @t229 @t212)) % 0.44/0.62 (define @t235 () (= tptp.e13 @t33)) % 0.44/0.62 (define @t236 () (and @t89 @t235 @t195 @t197)) % 0.44/0.62 (define @t237 () (= tptp.e14 @t27)) % 0.44/0.62 (define @t238 () (and @t89 @t237 @t195 @t168)) % 0.44/0.62 (assume @p1 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) @t4 (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)))) % 0.44/0.62 (assume @p2 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) (not (= tptp.e20 tptp.e23)) (not (= tptp.e20 tptp.e24)) (not (= tptp.e21 tptp.e22)) (not (= tptp.e21 tptp.e23)) (not (= tptp.e21 tptp.e24)) @t8 (not (= tptp.e22 tptp.e24)) @t6)) % 0.44/0.62 (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)))) % 0.44/0.62 (assume @p4 (and (= @t33 tptp.e13) (= @t32 tptp.e12) (= @t31 tptp.e10) (= @t30 tptp.e11) (= @t29 tptp.e14) (= @t28 tptp.e10) (= @t27 tptp.e14) (= @t26 tptp.e11) (= @t25 tptp.e12) (= @t24 tptp.e13) (= @t23 tptp.e11) (= @t22 tptp.e13) (= @t21 tptp.e12) (= @t20 tptp.e14) (= @t19 tptp.e10) (= @t18 tptp.e14) (= @t17 tptp.e11) (= @t16 tptp.e13) (= @t15 tptp.e10) (= @t14 tptp.e12) (= @t13 tptp.e12) (= @t12 tptp.e10) (= @t11 tptp.e14) (= @t10 tptp.e13) (= @t9 tptp.e11))) % 0.44/0.62 (assume @p5 (and (= @t58 tptp.e20) (= @t57 tptp.e23) (= @t56 tptp.e24) (= @t55 tptp.e22) (= @t54 tptp.e21) (= @t53 tptp.e22) (= @t52 tptp.e21) (= @t51 tptp.e23) (= @t50 tptp.e24) (= @t49 tptp.e20) (= @t48 tptp.e21) (= @t47 tptp.e24) (= @t46 tptp.e22) (= @t45 tptp.e20) (= @t44 tptp.e23) (= @t43 tptp.e24) (= @t42 tptp.e20) (= @t41 tptp.e21) (= @t40 tptp.e23) (= @t39 tptp.e22) (= @t38 tptp.e23) (= @t37 tptp.e22) (= @t36 tptp.e20) (= @t35 tptp.e21) (= @t34 tptp.e24))) % 0.44/0.62 (assume @p6 @t150) % 0.44/0.62 (assume @p7 true) % 0.44/0.62 (step @p8 :rule and_elim :premises (@p4) :args (6)) % 0.44/0.62 (step @p9 :rule symm :premises (@p8)) % 0.44/0.62 (step @p10 :rule and_elim :premises (@p5) :args (18)) % 0.44/0.62 (step @p11 :rule symm :premises (@p10)) % 0.44/0.62 (step @p12 :rule eq-symm :args (@t60 tptp.e14)) % 0.44/0.62 (step @p13 :rule eq-symm :args (@t62 tptp.e13)) % 0.44/0.62 (step @p14 :rule eq-symm :args (@t64 tptp.e12)) % 0.44/0.62 (step @p15 :rule eq-symm :args (@t66 tptp.e11)) % 0.44/0.62 (step @p16 :rule eq-symm :args (@t68 tptp.e10)) % 0.44/0.62 (step @p17 :rule eq-symm :args (@t70 tptp.e24)) % 0.44/0.62 (step @p18 :rule eq-symm :args (@t72 tptp.e23)) % 0.44/0.62 (step @p19 :rule eq-symm :args (@t74 tptp.e22)) % 0.44/0.62 (step @p20 :rule eq-symm :args (@t76 tptp.e21)) % 0.44/0.62 (step @p21 :rule eq-symm :args (@t78 tptp.e20)) % 0.44/0.62 (step @p22 :rule refl :args (@t79)) % 0.44/0.62 (step @p23 :rule refl :args (@t81)) % 0.44/0.62 (step @p24 :rule refl :args (@t82)) % 0.44/0.62 (step @p25 :rule refl :args (@t84)) % 0.44/0.62 (step @p26 :rule refl :args (@t85)) % 0.44/0.62 (step @p27 :rule refl :args (@t87)) % 0.44/0.62 (step @p28 :rule refl :args (@t89)) % 0.44/0.62 (step @p29 :rule refl :args (@t91)) % 0.44/0.62 (step @p30 :rule refl :args (@t92)) % 0.44/0.62 (step @p31 :rule refl :args (@t93)) % 0.44/0.62 (step @p32 :rule refl :args (@t94)) % 0.44/0.62 (step @p33 :rule refl :args (@t95)) % 0.44/0.62 (step @p34 :rule refl :args (@t97)) % 0.44/0.62 (step @p35 :rule refl :args (@t99)) % 0.44/0.62 (step @p36 :rule refl :args (@t100)) % 0.44/0.62 (step @p37 :rule refl :args (@t101)) % 0.44/0.62 (step @p38 :rule refl :args (@t102)) % 0.44/0.62 (step @p39 :rule refl :args (@t103)) % 0.44/0.62 (step @p40 :rule refl :args (@t104)) % 0.44/0.62 (step @p41 :rule refl :args (@t105)) % 0.44/0.62 (step @p42 :rule refl :args (@t106)) % 0.44/0.62 (step @p43 :rule refl :args (@t107)) % 0.44/0.62 (step @p44 :rule refl :args (@t108)) % 0.44/0.62 (step @p45 :rule refl :args (@t109)) % 0.44/0.62 (step @p46 :rule refl :args (@t110)) % 0.44/0.62 (step @p47 :rule refl :args (@t111)) % 0.44/0.62 (step @p48 :rule refl :args (@t112)) % 0.44/0.62 (step @p49 :rule refl :args (@t113)) % 0.44/0.62 (step @p50 :rule refl :args (@t114)) % 0.44/0.62 (step @p51 :rule refl :args (@t115)) % 0.44/0.62 (step @p52 :rule refl :args (@t116)) % 0.44/0.62 (step @p53 :rule refl :args (@t117)) % 0.44/0.62 (step @p54 :rule refl :args (@t118)) % 0.44/0.62 (step @p55 :rule refl :args (@t119)) % 0.44/0.62 (step @p56 :rule refl :args (@t120)) % 0.44/0.62 (step @p57 :rule refl :args (@t121)) % 0.44/0.62 (step @p58 :rule refl :args (@t122)) % 0.44/0.62 (step @p59 :rule refl :args (@t123)) % 0.44/0.62 (step @p60 :rule refl :args (@t124)) % 0.44/0.62 (step @p61 :rule refl :args (@t125)) % 0.44/0.62 (step @p62 :rule refl :args (@t126)) % 0.44/0.62 (step @p63 :rule refl :args (@t127)) % 0.44/0.62 (step @p64 :rule refl :args (@t128)) % 0.44/0.62 (step @p65 :rule refl :args (@t129)) % 0.44/0.62 (step @p66 :rule refl :args (@t130)) % 0.44/0.62 (step @p67 :rule refl :args (@t131)) % 0.44/0.62 (step @p68 :rule refl :args (@t132)) % 0.44/0.62 (step @p69 :rule refl :args (@t133)) % 0.44/0.62 (step @p70 :rule refl :args (@t134)) % 0.44/0.62 (step @p71 :rule refl :args (@t135)) % 0.44/0.62 (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 (@t136)) % 0.44/0.62 (step @p73 :rule cong :premises (@p72) :args (@t137)) % 0.44/0.62 (step @p74 :rule eq-symm :args (@t69 tptp.e14)) % 0.44/0.62 (step @p75 :rule eq-symm :args (@t69 tptp.e13)) % 0.44/0.62 (step @p76 :rule eq-symm :args (@t69 tptp.e12)) % 0.44/0.62 (step @p77 :rule eq-symm :args (@t69 tptp.e11)) % 0.44/0.62 (step @p78 :rule eq-symm :args (@t69 tptp.e10)) % 0.44/0.62 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76 @p75 @p74) :args (@t138)) % 0.44/0.62 (step @p80 :rule eq-symm :args (@t71 tptp.e14)) % 0.44/0.62 (step @p81 :rule eq-symm :args (@t71 tptp.e13)) % 0.44/0.62 (step @p82 :rule eq-symm :args (@t71 tptp.e12)) % 0.44/0.62 (step @p83 :rule eq-symm :args (@t71 tptp.e11)) % 0.44/0.62 (step @p84 :rule eq-symm :args (@t71 tptp.e10)) % 0.44/0.62 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @p80) :args (@t139)) % 0.44/0.62 (step @p86 :rule eq-symm :args (@t73 tptp.e14)) % 0.44/0.62 (step @p87 :rule eq-symm :args (@t73 tptp.e13)) % 0.44/0.62 (step @p88 :rule eq-symm :args (@t73 tptp.e12)) % 0.44/0.62 (step @p89 :rule eq-symm :args (@t73 tptp.e11)) % 0.44/0.62 (step @p90 :rule eq-symm :args (@t73 tptp.e10)) % 0.44/0.62 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88 @p87 @p86) :args (@t140)) % 0.44/0.62 (step @p92 :rule eq-symm :args (@t75 tptp.e14)) % 0.44/0.62 (step @p93 :rule eq-symm :args (@t75 tptp.e13)) % 0.44/0.62 (step @p94 :rule eq-symm :args (@t75 tptp.e12)) % 0.44/0.62 (step @p95 :rule eq-symm :args (@t75 tptp.e11)) % 0.44/0.62 (step @p96 :rule eq-symm :args (@t75 tptp.e10)) % 0.44/0.62 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93 @p92) :args (@t141)) % 0.44/0.62 (step @p98 :rule eq-symm :args (@t77 tptp.e14)) % 0.44/0.62 (step @p99 :rule eq-symm :args (@t77 tptp.e13)) % 0.44/0.62 (step @p100 :rule eq-symm :args (@t77 tptp.e12)) % 0.44/0.62 (step @p101 :rule eq-symm :args (@t77 tptp.e11)) % 0.44/0.62 (step @p102 :rule eq-symm :args (@t77 tptp.e10)) % 0.44/0.62 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99 @p98) :args (@t142)) % 0.44/0.62 (step @p104 :rule eq-symm :args (@t59 tptp.e24)) % 0.44/0.62 (step @p105 :rule eq-symm :args (@t59 tptp.e23)) % 0.44/0.62 (step @p106 :rule eq-symm :args (@t59 tptp.e22)) % 0.44/0.62 (step @p107 :rule eq-symm :args (@t59 tptp.e21)) % 0.44/0.62 (step @p108 :rule eq-symm :args (@t59 tptp.e20)) % 0.44/0.62 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p104) :args (@t143)) % 0.44/0.62 (step @p110 :rule eq-symm :args (@t61 tptp.e24)) % 0.44/0.62 (step @p111 :rule eq-symm :args (@t61 tptp.e23)) % 0.44/0.62 (step @p112 :rule eq-symm :args (@t61 tptp.e22)) % 0.44/0.62 (step @p113 :rule eq-symm :args (@t61 tptp.e21)) % 0.44/0.62 (step @p114 :rule eq-symm :args (@t61 tptp.e20)) % 0.44/0.62 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110) :args (@t144)) % 0.44/0.62 (step @p116 :rule eq-symm :args (@t63 tptp.e24)) % 0.44/0.62 (step @p117 :rule eq-symm :args (@t63 tptp.e23)) % 0.44/0.62 (step @p118 :rule eq-symm :args (@t63 tptp.e22)) % 0.44/0.62 (step @p119 :rule eq-symm :args (@t63 tptp.e21)) % 0.44/0.62 (step @p120 :rule eq-symm :args (@t63 tptp.e20)) % 0.44/0.62 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116) :args (@t145)) % 0.44/0.62 (step @p122 :rule eq-symm :args (@t65 tptp.e24)) % 0.44/0.62 (step @p123 :rule eq-symm :args (@t65 tptp.e23)) % 0.44/0.62 (step @p124 :rule eq-symm :args (@t65 tptp.e22)) % 0.44/0.62 (step @p125 :rule eq-symm :args (@t65 tptp.e21)) % 0.44/0.62 (step @p126 :rule eq-symm :args (@t65 tptp.e20)) % 0.44/0.62 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124 @p123 @p122) :args (@t146)) % 0.44/0.62 (step @p128 :rule eq-symm :args (@t67 tptp.e24)) % 0.44/0.62 (step @p129 :rule eq-symm :args (@t67 tptp.e23)) % 0.44/0.62 (step @p130 :rule eq-symm :args (@t67 tptp.e22)) % 0.44/0.62 (step @p131 :rule eq-symm :args (@t67 tptp.e21)) % 0.44/0.62 (step @p132 :rule eq-symm :args (@t67 tptp.e20)) % 0.44/0.62 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p129 @p128) :args (@t147)) % 0.44/0.62 (step @p134 :rule nary_cong :premises (@p133 @p127 @p121 @p115 @p109 @p103 @p97 @p91 @p85 @p79) :args (@t148)) % 0.44/0.62 (step @p135 :rule cong :premises (@p134 @p73) :args (@t149)) % 0.44/0.62 (step @p136 :rule cong :premises (@p135) :args (@t150)) % 0.44/0.62 (step @p137 :rule eq_resolve :premises (@p6 @p136)) % 0.44/0.62 (step @p138 :rule not_implies_elim2 :premises (@p137)) % 0.44/0.62 (step @p139 :rule not_not_elim :premises (@p138)) % 0.44/0.62 (step @p140 :rule and_elim :premises (@p139) :args (43)) % 0.44/0.62 (step @p141 :rule and_elim :premises (@p2) :args (7)) % 0.44/0.62 (step @p142 :rule and_elim :premises (@p139) :args (53)) % 0.44/0.62 (step @p143 :rule refl :args (@t152)) % 0.44/0.62 (step @p144 :rule refl :args (@t154)) % 0.44/0.62 (step @p145 :rule refl :args (@t156)) % 0.44/0.62 (step @p146 :rule bool-double-not-elim :args (@t7)) % 0.44/0.62 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144 @p143) :args ((or (not @t8) @t156 @t154 @t152))) % 0.44/0.62 (assume-push @p885 @t8) % 0.44/0.62 (assume-push @p886 @t155) % 0.44/0.62 (assume-push @p887 @t153) % 0.44/0.62 (assume-push @p888 @t8) % 0.44/0.62 (assume-push @p889 @t157) % 0.44/0.62 (step @p153 :rule false_intro :premises (@p141)) % 0.44/0.62 (step @p154 :rule symm :premises (@p889)) % 0.44/0.62 (step @p155 :rule refl :args (tptp.e22)) % 0.44/0.62 (step @p156 :rule cong :premises (@p155 @p154) :args (@t151)) % 0.44/0.62 (step @p157 :rule trans :premises (@p156 @p153)) % 0.44/0.62 (step @p158 :rule false_elim :premises (@p157)) % 0.44/0.62 (step-pop @p890 :rule scope :premises (@p158)) % 0.44/0.62 (step-pop @p891 :rule scope :premises (@p890)) % 0.44/0.62 (step @p159 :rule process_scope :premises (@p891) :args (@t152)) % 0.44/0.62 (assume-push @p892 @t155) % 0.44/0.62 (assume-push @p893 @t153) % 0.44/0.62 (step @p164 :rule symm :premises (@p886)) % 0.44/0.62 (step @p165 :rule cong :premises (@p164) :args (@t72)) % 0.44/0.62 (step @p166 :rule trans :premises (@p142 @p165)) % 0.44/0.62 (step-pop @p894 :rule scope :premises (@p166)) % 0.44/0.62 (step-pop @p895 :rule scope :premises (@p894)) % 0.44/0.62 (step @p167 :rule process_scope :premises (@p895) :args (@t157)) % 0.44/0.62 (step @p170 :rule and_intro :premises (@p886 @p142)) % 0.44/0.62 (step @p171 :rule modus_ponens :premises (@p170 @p167)) % 0.44/0.62 (step @p172 :rule and_intro :premises (@p141 @p171)) % 0.44/0.62 (step @p173 :rule 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% 0.44/0.62 (step @p642 :rule cong :premises (@p189) :args (@t90)) % 0.44/0.62 (step @p643 :rule symm :premises (@p192)) % 0.44/0.62 (step @p690 :rule cong :premises (@p1150 @p1149) :args (@t22)) % 0.44/0.62 (step @p691 :rule trans :premises (@p266 @p690 @p643 @p642)) % 0.44/0.62 (step @p692 :rule cong :premises (@p1149 @p691) :args (@t25)) % 0.44/0.62 (step @p693 :rule trans :premises (@p673 @p692 @p641 @p640)) % 0.44/0.62 (step-pop @p1159 :rule scope :premises (@p693)) % 0.44/0.62 (step-pop @p1160 :rule scope :premises (@p1159)) % 0.44/0.62 (step-pop @p1161 :rule scope :premises (@p1160)) % 0.44/0.62 (step-pop @p1162 :rule scope :premises (@p1161)) % 0.44/0.62 (step-pop @p1163 :rule scope :premises (@p1162)) % 0.44/0.62 (step-pop @p1164 :rule scope :premises (@p1163)) % 0.44/0.62 (step-pop @p1165 :rule scope :premises (@p1164)) % 0.44/0.62 (step-pop @p1166 :rule scope :premises (@p1165)) % 0.44/0.62 (step @p694 :rule process_scope :premises (@p1166) :args (@t162)) % 0.44/0.62 (step 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0.44/0.62 (step @p735 :rule and_intro :premises (@p1176 @p1175 @p718)) % 0.44/0.62 (step @p736 :rule modus_ponens :premises (@p735 @p731)) % 0.44/0.62 (step-pop @p1184 :rule scope :premises (@p736)) % 0.44/0.62 (step-pop @p1185 :rule scope :premises (@p1184)) % 0.44/0.62 (step-pop @p1186 :rule scope :premises (@p1185)) % 0.44/0.62 (step @p737 :rule process_scope :premises (@p1186) :args (@t151)) % 0.44/0.62 (step @p741 :rule implies_elim :premises (@p737)) % 0.44/0.62 (step @p742 :rule cnf_and_neg :args (@t227)) % 0.44/0.62 (step @p743 :rule resolution :premises (@p742 @p741) :args (true @t227)) % 0.44/0.62 (step @p744 :rule reordering :premises (@p743) :args ((or @t151 (not @t225) @t156 (not @t226)))) % 0.44/0.62 (step @p745 :rule and_elim :premises (@p139) :args (37)) % 0.44/0.62 (step @p746 :rule and_elim :premises (@p5) :args (12)) % 0.44/0.62 (step @p747 :rule symm :premises (@p746)) % 0.44/0.62 (step @p748 :rule refl :args (@t228)) % 0.44/0.62 (step @p749 :rule refl :args (@t230)) % 0.44/0.62 (step @p750 :rule refl :args (@t205)) % 0.44/0.62 (step @p751 :rule refl :args (@t231)) % 0.44/0.62 (step @p752 :rule nary_cong :premises (@p393 @p751 @p750 @p749 @p748) :args ((or @t192 @t231 @t205 @t230 @t228))) % 0.44/0.62 (assume-push @p1187 @t189) % 0.44/0.62 (assume-push @p1188 @t188) % 0.44/0.62 (assume-push @p1189 @t2) % 0.44/0.62 (step @p296 :rule evaluate :args (@t190)) % 0.44/0.62 (step @p756 :rule symm :premises (@p1187)) % 0.44/0.62 (step @p757 :rule trans :premises (@p1188 @p756)) % 0.44/0.62 (step @p758 :rule true_intro :premises (@p757)) % 0.44/0.62 (step @p404 :rule false_intro :premises (@p391)) % 0.44/0.62 (step @p405 :rule symm :premises (@p404)) % 0.44/0.62 (step @p759 :rule trans :premises (@p405 @p758)) % 0.44/0.62 (step @p760 false :rule eq_resolve :premises (@p759 @p296)) % 0.44/0.62 (step-pop @p1190 :rule scope :premises (@p760)) % 0.44/0.62 (step-pop @p1191 :rule scope :premises (@p1190)) % 0.44/0.62 (step-pop @p1192 :rule scope :premises (@p1191)) % 0.44/0.62 (step @p761 :rule process_scope :premises (@p1192) :args (false)) % 0.44/0.62 (assume-push @p1193 @t2) % 0.44/0.62 (assume-push @p1194 @t97) % 0.44/0.62 (assume-push @p1195 @t203) % 0.44/0.62 (assume-push @p1196 @t229) % 0.44/0.62 (assume-push @p1197 @t189) % 0.44/0.62 (assume-push @p1198 @t229) % 0.44/0.62 (assume-push @p1199 @t97) % 0.44/0.62 (assume-push @p1200 @t189) % 0.44/0.62 (assume-push @p1201 @t203) % 0.44/0.62 (step @p774 :rule cong :premises (@p746) :args (@t96)) % 0.44/0.62 (step @p775 :rule symm :premises (@p745)) % 0.44/0.62 (step @p776 :rule cong :premises (@p1197 @p1197) :args (@t9)) % 0.44/0.62 (step @p777 :rule trans :premises (@p461 @p776 @p775 @p774)) % 0.44/0.62 (step-pop @p1202 :rule scope :premises (@p777)) % 0.44/0.62 (step-pop @p1203 :rule scope :premises (@p1202)) % 0.44/0.62 (step-pop @p1204 :rule scope :premises (@p1203)) % 0.44/0.62 (step-pop @p1205 :rule scope :premises (@p1204)) % 0.44/0.62 (step @p778 :rule process_scope :premises 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0.44/0.62 (step @p797 :rule chain_m_resolution :premises (@p796 @p391 @p461 @p747 @p745) :args (@t228 @t233 (@list @t1 @t203 @t229 @t97))) % 0.44/0.62 (step @p798 :rule and_elim :premises (@p458) :args (7)) % 0.44/0.62 (assume-push @p1211 @t97) % 0.44/0.62 (assume-push @p1212 @t194) % 0.44/0.62 (assume-push @p1213 @t229) % 0.44/0.62 (assume-push @p1214 @t212) % 0.44/0.62 (assume-push @p1215 @t229) % 0.44/0.62 (assume-push @p1216 @t97) % 0.44/0.62 (assume-push @p1217 @t212) % 0.44/0.62 (assume-push @p1218 @t194) % 0.44/0.62 (step @p774 :rule cong :premises (@p746) :args (@t96)) % 0.44/0.62 (step @p775 :rule symm :premises (@p745)) % 0.44/0.62 (step @p807 :rule cong :premises (@p1214 @p1214) :args (@t15)) % 0.44/0.62 (step @p808 :rule trans :premises (@p429 @p807 @p775 @p774)) % 0.44/0.62 (step-pop @p1219 :rule scope :premises (@p808)) % 0.44/0.62 (step-pop @p1220 :rule scope :premises (@p1219)) % 0.44/0.62 (step-pop @p1221 :rule scope :premises (@p1220)) % 0.44/0.62 (step-pop @p1222 :rule scope :premises (@p1221)) % 0.44/0.62 (step @p809 :rule process_scope :premises (@p1222) :args (@t211)) % 0.44/0.62 (step @p814 :rule and_intro :premises (@p747 @p745 @p1214 @p429)) % 0.44/0.62 (step @p815 :rule modus_ponens :premises (@p814 @p809)) % 0.44/0.62 (step-pop @p1223 :rule scope :premises (@p815)) % 0.44/0.62 (step-pop @p1224 :rule scope :premises (@p1223)) % 0.44/0.62 (step-pop @p1225 :rule scope :premises (@p1224)) % 0.44/0.62 (step-pop @p1226 :rule scope :premises (@p1225)) % 0.44/0.62 (step @p816 :rule process_scope :premises (@p1226) :args (@t211)) % 0.44/0.62 (step @p821 :rule implies_elim :premises (@p816)) % 0.44/0.62 (step @p822 :rule cnf_and_neg :args (@t234)) % 0.44/0.62 (step @p823 :rule resolution :premises (@p822 @p821) :args (true @t234)) % 0.44/0.62 (step @p824 :rule reordering :premises (@p823) :args ((or @t211 @t202 @t230 (not @t212) @t231))) % 0.44/0.62 (step @p825 :rule chain_m_resolution :premises (@p824 @p745 @p747 @p429 @p798 @p797 @p744 @p718 @p717 @p623 @p192 @p191 @p190 @p188 @p266 @p673 @p671 @p623 @p192 @p191 @p190 @p188 @p186 @p184 @p182 @p142 @p141) :args (@t156 (@list false false false false true true false true true false false false false false false true true false false false false false false true false true) (@list @t97 @t229 @t194 @t212 @t189 @t225 @t226 @t188 @t162 @t91 @t99 @t216 @t217 @t180 @t223 @t211 @t162 @t91 @t99 @t216 @t217 @t209 @t215 @t151 @t153 @t7))) % 0.44/0.62 (step @p826 :rule and_elim :premises (@p4) :args (0)) % 0.44/0.62 (step @p827 :rule symm :premises (@p826)) % 0.44/0.62 (step @p828 :rule chain_m_resolution :premises (@p622 @p490 @p587 @p457 @p140 @p11 @p429) :args (@t200 (@list false true false false false false) (@list @t207 @t3 @t197 @t89 @t195 @t194))) % 0.44/0.62 (assume-push @p1227 @t89) % 0.44/0.62 (assume-push @p1228 @t235) % 0.44/0.62 (assume-push @p1229 @t195) % 0.44/0.62 (assume-push @p1230 @t197) % 0.44/0.62 (assume-push @p1231 @t195) % 0.44/0.62 (assume-push @p1232 @t89) % 0.44/0.62 (assume-push @p1233 @t197) % 0.44/0.62 (assume-push @p1234 @t235) % 0.44/0.62 (step @p438 :rule cong :premises (@p10) :args (@t88)) % 0.44/0.62 (step @p439 :rule symm :premises (@p140)) % 0.44/0.62 (step @p837 :rule cong :premises (@p1230 @p1230) :args (@t33)) % 0.44/0.62 (step @p838 :rule trans :premises (@p827 @p837 @p439 @p438)) % 0.44/0.62 (step-pop @p1235 :rule scope :premises (@p838)) % 0.44/0.62 (step-pop @p1236 :rule scope :premises (@p1235)) % 0.44/0.62 (step-pop @p1237 :rule scope :premises (@p1236)) % 0.44/0.62 (step-pop @p1238 :rule scope :premises (@p1237)) % 0.44/0.62 (step @p839 :rule process_scope :premises (@p1238) :args (@t196)) % 0.44/0.62 (step @p844 :rule and_intro :premises (@p11 @p140 @p1230 @p827)) % 0.44/0.62 (step @p845 :rule modus_ponens :premises (@p844 @p839)) % 0.44/0.62 (step-pop @p1239 :rule scope :premises (@p845)) % 0.44/0.62 (step-pop @p1240 :rule scope :premises (@p1239)) % 0.44/0.62 (step-pop @p1241 :rule scope :premises (@p1240)) % 0.44/0.62 (step-pop @p1242 :rule scope :premises (@p1241)) % 0.44/0.62 (step @p846 :rule process_scope :premises (@p1242) :args (@t196)) % 0.44/0.62 (step @p851 :rule implies_elim :premises (@p846)) % 0.44/0.62 (step @p852 :rule cnf_and_neg :args (@t236)) % 0.44/0.62 (step @p853 :rule resolution :premises (@p852 @p851) :args (true @t236)) % 0.44/0.62 (step @p854 :rule reordering :premises (@p853) :args ((or @t196 (not @t235) @t201 @t206 @t199))) % 0.44/0.62 (step @p855 :rule chain_m_resolution :premises (@p854 @p828 @p827 @p11 @p140) :args (@t206 @t233 (@list @t196 @t235 @t195 @t89))) % 0.44/0.62 (step @p856 :rule chain_m_resolution :premises (@p488 @p855 @p825) :args (@t168 (@list true true) (@list @t197 @t155))) % 0.44/0.62 (step @p857 :rule chain_m_resolution :premises (@p426 @p391 @p262 @p856) :args (@t187 (@list true false false) (@list @t1 @t176 @t168))) % 0.44/0.62 (assume-push @p1243 @t89) % 0.44/0.62 (assume-push @p1244 @t237) % 0.44/0.62 (assume-push @p1245 @t195) % 0.44/0.62 (assume-push @p1246 @t168) % 0.44/0.62 (assume-push @p1247 @t195) % 0.44/0.62 (assume-push @p1248 @t89) % 0.44/0.62 (assume-push @p1249 @t168) % 0.44/0.62 (assume-push @p1250 @t237) % 0.44/0.62 (step @p438 :rule cong :premises (@p10) :args (@t88)) % 0.44/0.62 (step @p439 :rule symm :premises (@p140)) % 0.44/0.62 (step @p866 :rule cong :premises (@p1246 @p1246) :args (@t27)) % 0.44/0.62 (step @p867 :rule trans :premises (@p9 @p866 @p439 @p438)) % 0.44/0.62 (step-pop @p1251 :rule scope :premises (@p867)) % 0.44/0.62 (step-pop @p1252 :rule scope :premises (@p1251)) % 0.44/0.62 (step-pop @p1253 :rule scope :premises (@p1252)) % 0.44/0.62 (step-pop @p1254 :rule scope :premises (@p1253)) % 0.44/0.62 (step @p868 :rule process_scope :premises (@p1254) :args (@t167)) % 0.44/0.62 (step @p873 :rule and_intro :premises (@p11 @p140 @p1246 @p9)) % 0.44/0.62 (step @p874 :rule modus_ponens :premises (@p873 @p868)) % 0.44/0.62 (step-pop @p1255 :rule scope :premises (@p874)) % 0.44/0.62 (step-pop @p1256 :rule scope :premises (@p1255)) % 0.44/0.62 (step-pop @p1257 :rule scope :premises (@p1256)) % 0.44/0.62 (step-pop @p1258 :rule scope :premises (@p1257)) % 0.44/0.62 (step @p875 :rule process_scope :premises (@p1258) :args (@t167)) % 0.44/0.62 (step @p880 :rule implies_elim :premises (@p875)) % 0.44/0.62 (step @p881 :rule cnf_and_neg :args (@t238)) % 0.44/0.62 (step @p882 :rule resolution :premises (@p881 @p880) :args (true @t238)) % 0.44/0.62 (step @p883 :rule reordering :premises (@p882) :args ((or @t167 (not @t237) @t201 @t169 @t199))) % 0.44/0.62 (step @p884 false :rule chain_m_resolution :premises (@p883 @p857 @p856 @p140 @p11 @p9) :args (false (@list true false false false false) (@list @t167 @t168 @t89 @t195 @t237))) % 0.44/0.62 ) % 0.44/0.62 % SZS output end Proof % 0.44/0.62 % cvc5 exiting %------------------------------------------------------------------------------