%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG183+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 : n010.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 0.40s 0.62s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG183+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 % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 01:40:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.62 % SZS status Theorem % 0.40/0.62 % SZS output start Proof % 0.40/0.62 ( % 0.40/0.62 (declare-sort $$unsorted 0) % 0.40/0.62 (declare-const tptp.e13 $$unsorted) % 0.40/0.62 (declare-const tptp.e12 $$unsorted) % 0.40/0.62 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.e11 $$unsorted) % 0.40/0.62 (declare-const tptp.e10 $$unsorted) % 0.40/0.62 (declare-const tptp.e24 $$unsorted) % 0.40/0.62 (declare-const tptp.e23 $$unsorted) % 0.40/0.62 (declare-const tptp.e22 $$unsorted) % 0.40/0.62 (declare-const tptp.e21 $$unsorted) % 0.40/0.62 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.e14 $$unsorted) % 0.40/0.62 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.e20 $$unsorted) % 0.40/0.62 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.40/0.62 (define @t1 () (= tptp.e12 tptp.e13)) % 0.40/0.62 (define @t2 () (not @t1)) % 0.40/0.62 (define @t3 () (= tptp.e10 tptp.e14)) % 0.40/0.62 (define @t4 () (not @t3)) % 0.40/0.62 (define @t5 () (= tptp.e23 tptp.e24)) % 0.40/0.62 (define @t6 () (not @t5)) % 0.40/0.62 (define @t7 () (= tptp.e21 tptp.e24)) % 0.40/0.62 (define @t8 () (not @t7)) % 0.40/0.62 (define @t9 () (tptp.op1 tptp.e14 tptp.e14)) % 0.40/0.62 (define @t10 () (tptp.op1 tptp.e14 tptp.e13)) % 0.40/0.62 (define @t11 () (tptp.op1 tptp.e14 tptp.e12)) % 0.40/0.62 (define @t12 () (tptp.op1 tptp.e14 tptp.e11)) % 0.40/0.62 (define @t13 () (tptp.op1 tptp.e14 tptp.e10)) % 0.40/0.62 (define @t14 () (tptp.op1 tptp.e13 tptp.e14)) % 0.40/0.62 (define @t15 () (tptp.op1 tptp.e13 tptp.e13)) % 0.40/0.62 (define @t16 () (tptp.op1 tptp.e13 tptp.e12)) % 0.40/0.62 (define @t17 () (tptp.op1 tptp.e13 tptp.e11)) % 0.40/0.62 (define @t18 () (tptp.op1 tptp.e13 tptp.e10)) % 0.40/0.62 (define @t19 () (tptp.op1 tptp.e12 tptp.e14)) % 0.40/0.62 (define @t20 () (tptp.op1 tptp.e12 tptp.e13)) % 0.40/0.62 (define @t21 () (tptp.op1 tptp.e12 tptp.e12)) % 0.40/0.62 (define @t22 () (tptp.op1 tptp.e12 tptp.e11)) % 0.40/0.62 (define @t23 () (tptp.op1 tptp.e12 tptp.e10)) % 0.40/0.62 (define @t24 () (tptp.op1 tptp.e11 tptp.e14)) % 0.40/0.62 (define @t25 () (tptp.op1 tptp.e11 tptp.e13)) % 0.40/0.62 (define @t26 () (tptp.op1 tptp.e11 tptp.e12)) % 0.40/0.62 (define @t27 () (tptp.op1 tptp.e11 tptp.e11)) % 0.40/0.62 (define @t28 () (tptp.op1 tptp.e11 tptp.e10)) % 0.40/0.62 (define @t29 () (tptp.op1 tptp.e10 tptp.e14)) % 0.40/0.62 (define @t30 () (tptp.op1 tptp.e10 tptp.e13)) % 0.40/0.62 (define @t31 () (tptp.op1 tptp.e10 tptp.e12)) % 0.40/0.62 (define @t32 () (tptp.op1 tptp.e10 tptp.e11)) % 0.40/0.62 (define @t33 () (tptp.op1 tptp.e10 tptp.e10)) % 0.40/0.62 (define @t34 () (tptp.op2 tptp.e24 tptp.e24)) % 0.40/0.62 (define @t35 () (tptp.op2 tptp.e24 tptp.e23)) % 0.40/0.62 (define @t36 () (tptp.op2 tptp.e24 tptp.e22)) % 0.40/0.62 (define @t37 () (tptp.op2 tptp.e24 tptp.e21)) % 0.40/0.62 (define @t38 () (tptp.op2 tptp.e24 tptp.e20)) % 0.40/0.62 (define @t39 () (tptp.op2 tptp.e23 tptp.e24)) % 0.40/0.62 (define @t40 () (tptp.op2 tptp.e23 tptp.e23)) % 0.40/0.62 (define @t41 () (tptp.op2 tptp.e23 tptp.e22)) % 0.40/0.62 (define @t42 () (tptp.op2 tptp.e23 tptp.e21)) % 0.40/0.62 (define @t43 () (tptp.op2 tptp.e23 tptp.e20)) % 0.40/0.62 (define @t44 () (tptp.op2 tptp.e22 tptp.e24)) % 0.40/0.62 (define @t45 () (tptp.op2 tptp.e22 tptp.e23)) % 0.40/0.62 (define @t46 () (tptp.op2 tptp.e22 tptp.e22)) % 0.40/0.62 (define @t47 () (tptp.op2 tptp.e22 tptp.e21)) % 0.40/0.62 (define @t48 () (tptp.op2 tptp.e22 tptp.e20)) % 0.40/0.62 (define @t49 () (tptp.op2 tptp.e21 tptp.e24)) % 0.40/0.62 (define @t50 () (tptp.op2 tptp.e21 tptp.e23)) % 0.40/0.62 (define @t51 () (tptp.op2 tptp.e21 tptp.e22)) % 0.40/0.62 (define @t52 () (tptp.op2 tptp.e21 tptp.e21)) % 0.40/0.62 (define @t53 () (tptp.op2 tptp.e21 tptp.e20)) % 0.40/0.62 (define @t54 () (tptp.op2 tptp.e20 tptp.e24)) % 0.40/0.62 (define @t55 () (tptp.op2 tptp.e20 tptp.e23)) % 0.40/0.62 (define @t56 () (tptp.op2 tptp.e20 tptp.e22)) % 0.40/0.62 (define @t57 () (tptp.op2 tptp.e20 tptp.e21)) % 0.40/0.62 (define @t58 () (tptp.op2 tptp.e20 tptp.e20)) % 0.40/0.62 (define @t59 () (tptp.h tptp.e14)) % 0.40/0.62 (define @t60 () (tptp.j @t59)) % 0.40/0.62 (define @t61 () (tptp.h tptp.e13)) % 0.40/0.62 (define @t62 () (tptp.j @t61)) % 0.40/0.62 (define @t63 () (tptp.h tptp.e12)) % 0.40/0.62 (define @t64 () (tptp.j @t63)) % 0.40/0.62 (define @t65 () (tptp.h tptp.e11)) % 0.40/0.62 (define @t66 () (tptp.j @t65)) % 0.40/0.62 (define @t67 () (tptp.h tptp.e10)) % 0.40/0.62 (define @t68 () (tptp.j @t67)) % 0.40/0.62 (define @t69 () (tptp.j tptp.e24)) % 0.40/0.62 (define @t70 () (tptp.h @t69)) % 0.40/0.62 (define @t71 () (tptp.j tptp.e23)) % 0.40/0.62 (define @t72 () (tptp.h @t71)) % 0.40/0.62 (define @t73 () (tptp.j tptp.e22)) % 0.40/0.62 (define @t74 () (tptp.h @t73)) % 0.40/0.62 (define @t75 () (tptp.j tptp.e21)) % 0.40/0.62 (define @t76 () (tptp.h @t75)) % 0.40/0.62 (define @t77 () (tptp.j tptp.e20)) % 0.40/0.62 (define @t78 () (tptp.h @t77)) % 0.40/0.62 (define @t79 () (tptp.j @t34)) % 0.40/0.62 (define @t80 () (= @t79 (tptp.op1 @t69 @t69))) % 0.40/0.62 (define @t81 () (= (tptp.j @t35) (tptp.op1 @t69 @t71))) % 0.40/0.62 (define @t82 () (= (tptp.j @t36) (tptp.op1 @t69 @t73))) % 0.40/0.62 (define @t83 () (= (tptp.j @t37) (tptp.op1 @t69 @t75))) % 0.40/0.62 (define @t84 () (= (tptp.j @t38) (tptp.op1 @t69 @t77))) % 0.40/0.62 (define @t85 () (= (tptp.j @t39) (tptp.op1 @t71 @t69))) % 0.40/0.62 (define @t86 () (tptp.j @t40)) % 0.40/0.62 (define @t87 () (= @t86 (tptp.op1 @t71 @t71))) % 0.40/0.62 (define @t88 () (= (tptp.j @t41) (tptp.op1 @t71 @t73))) % 0.40/0.62 (define @t89 () (= (tptp.j @t42) (tptp.op1 @t71 @t75))) % 0.40/0.62 (define @t90 () (= (tptp.j @t43) (tptp.op1 @t71 @t77))) % 0.40/0.62 (define @t91 () (= (tptp.j @t44) (tptp.op1 @t73 @t69))) % 0.40/0.62 (define @t92 () (= (tptp.j @t45) (tptp.op1 @t73 @t71))) % 0.40/0.62 (define @t93 () (= (tptp.j @t46) (tptp.op1 @t73 @t73))) % 0.40/0.62 (define @t94 () (= (tptp.j @t47) (tptp.op1 @t73 @t75))) % 0.40/0.62 (define @t95 () (= (tptp.j @t48) (tptp.op1 @t73 @t77))) % 0.40/0.62 (define @t96 () (= (tptp.j @t49) (tptp.op1 @t75 @t69))) % 0.40/0.62 (define @t97 () (= (tptp.j @t50) (tptp.op1 @t75 @t71))) % 0.40/0.62 (define @t98 () (= (tptp.j @t51) (tptp.op1 @t75 @t73))) % 0.40/0.62 (define @t99 () (= (tptp.j @t52) (tptp.op1 @t75 @t75))) % 0.40/0.62 (define @t100 () (= (tptp.j @t53) (tptp.op1 @t75 @t77))) % 0.40/0.62 (define @t101 () (= (tptp.j @t54) (tptp.op1 @t77 @t69))) % 0.40/0.62 (define @t102 () (= (tptp.j @t55) (tptp.op1 @t77 @t71))) % 0.40/0.62 (define @t103 () (= (tptp.j @t56) (tptp.op1 @t77 @t73))) % 0.40/0.62 (define @t104 () (= (tptp.j @t57) (tptp.op1 @t77 @t75))) % 0.40/0.62 (define @t105 () (= (tptp.j @t58) (tptp.op1 @t77 @t77))) % 0.40/0.62 (define @t106 () (= (tptp.h @t9) (tptp.op2 @t59 @t59))) % 0.40/0.62 (define @t107 () (= (tptp.h @t10) (tptp.op2 @t59 @t61))) % 0.40/0.62 (define @t108 () (= (tptp.h @t11) (tptp.op2 @t59 @t63))) % 0.40/0.62 (define @t109 () (= (tptp.h @t12) (tptp.op2 @t59 @t65))) % 0.40/0.62 (define @t110 () (= (tptp.h @t13) (tptp.op2 @t59 @t67))) % 0.40/0.62 (define @t111 () (= (tptp.h @t14) (tptp.op2 @t61 @t59))) % 0.40/0.62 (define @t112 () (= (tptp.h @t15) (tptp.op2 @t61 @t61))) % 0.40/0.62 (define @t113 () (= (tptp.h @t16) (tptp.op2 @t61 @t63))) % 0.40/0.62 (define @t114 () (= (tptp.h @t17) (tptp.op2 @t61 @t65))) % 0.40/0.62 (define @t115 () (= (tptp.h @t18) (tptp.op2 @t61 @t67))) % 0.40/0.62 (define @t116 () (= (tptp.h @t19) (tptp.op2 @t63 @t59))) % 0.40/0.62 (define @t117 () (= (tptp.h @t20) (tptp.op2 @t63 @t61))) % 0.40/0.62 (define @t118 () (= (tptp.h @t21) (tptp.op2 @t63 @t63))) % 0.40/0.62 (define @t119 () (= (tptp.h @t22) (tptp.op2 @t63 @t65))) % 0.40/0.62 (define @t120 () (= (tptp.h @t23) (tptp.op2 @t63 @t67))) % 0.40/0.62 (define @t121 () (tptp.h @t24)) % 0.40/0.62 (define @t122 () (= @t121 (tptp.op2 @t65 @t59))) % 0.40/0.62 (define @t123 () (tptp.h @t25)) % 0.40/0.62 (define @t124 () (= @t123 (tptp.op2 @t65 @t61))) % 0.40/0.62 (define @t125 () (tptp.h @t26)) % 0.40/0.62 (define @t126 () (= @t125 (tptp.op2 @t65 @t63))) % 0.40/0.62 (define @t127 () (= (tptp.h @t27) (tptp.op2 @t65 @t65))) % 0.40/0.62 (define @t128 () (= (tptp.h @t28) (tptp.op2 @t65 @t67))) % 0.40/0.62 (define @t129 () (= (tptp.h @t29) (tptp.op2 @t67 @t59))) % 0.40/0.62 (define @t130 () (= (tptp.h @t30) (tptp.op2 @t67 @t61))) % 0.40/0.62 (define @t131 () (= (tptp.h @t31) (tptp.op2 @t67 @t63))) % 0.40/0.62 (define @t132 () (= (tptp.h @t32) (tptp.op2 @t67 @t65))) % 0.40/0.62 (define @t133 () (= (tptp.h @t33) (tptp.op2 @t67 @t67))) % 0.40/0.62 (define @t134 () (and @t133 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t124 @t122 @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 @t85 @t84 @t83 @t82 @t81 @t80 (= @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))) % 0.40/0.62 (define @t135 () (not @t134)) % 0.40/0.62 (define @t136 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14))) % 0.40/0.62 (define @t137 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14))) % 0.40/0.62 (define @t138 () (or (= @t73 tptp.e10) (= @t73 tptp.e11) (= @t73 tptp.e12) (= @t73 tptp.e13) (= @t73 tptp.e14))) % 0.40/0.62 (define @t139 () (or (= @t75 tptp.e10) (= @t75 tptp.e11) (= @t75 tptp.e12) (= @t75 tptp.e13) (= @t75 tptp.e14))) % 0.40/0.62 (define @t140 () (or (= @t77 tptp.e10) (= @t77 tptp.e11) (= @t77 tptp.e12) (= @t77 tptp.e13) (= @t77 tptp.e14))) % 0.40/0.62 (define @t141 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24))) % 0.40/0.62 (define @t142 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24))) % 0.40/0.62 (define @t143 () (or (= @t63 tptp.e20) (= @t63 tptp.e21) (= @t63 tptp.e22) (= @t63 tptp.e23) (= @t63 tptp.e24))) % 0.40/0.62 (define @t144 () (or (= @t65 tptp.e20) (= @t65 tptp.e21) (= @t65 tptp.e22) (= @t65 tptp.e23) (= @t65 tptp.e24))) % 0.40/0.62 (define @t145 () (or (= @t67 tptp.e20) (= @t67 tptp.e21) (= @t67 tptp.e22) (= @t67 tptp.e23) (= @t67 tptp.e24))) % 0.40/0.62 (define @t146 () (and @t145 @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136)) % 0.40/0.62 (define @t147 () (=> @t146 @t135)) % 0.40/0.62 (define @t148 () (not @t147)) % 0.40/0.62 (define @t149 () (= tptp.e12 @t71)) % 0.40/0.62 (define @t150 () (not @t149)) % 0.40/0.62 (define @t151 () (= tptp.e23 @t40)) % 0.40/0.62 (define @t152 () (not @t151)) % 0.40/0.62 (define @t153 () (= tptp.e12 @t32)) % 0.40/0.62 (define @t154 () (not @t153)) % 0.40/0.62 (define @t155 () (= tptp.e13 @t21)) % 0.40/0.62 (define @t156 () (not @t155)) % 0.40/0.62 (define @t157 () (not @t87)) % 0.40/0.62 (define @t158 () (= tptp.e13 @t71)) % 0.40/0.62 (define @t159 () (= false true)) % 0.40/0.62 (define @t160 () (and @t153 @t149 @t158 @t2)) % 0.40/0.62 (define @t161 () (= tptp.e14 @t71)) % 0.40/0.62 (define @t162 () (not @t161)) % 0.40/0.62 (define @t163 () (= tptp.e10 @t9)) % 0.40/0.62 (define @t164 () (not @t163)) % 0.40/0.62 (define @t165 () (= tptp.e10 @t71)) % 0.40/0.62 (define @t166 () (and @t165 @t161 @t4)) % 0.40/0.62 (define @t167 () (@list true false false false)) % 0.40/0.62 (define @t168 () (= tptp.e14 @t33)) % 0.40/0.62 (define @t169 () (and @t87 @t168 @t151 @t165)) % 0.40/0.62 (define @t170 () (not @t165)) % 0.40/0.62 (define @t171 () (not @t168)) % 0.40/0.62 (define @t172 () (= tptp.e12 @t15)) % 0.40/0.62 (define @t173 () (and @t87 @t172 @t151 @t158)) % 0.40/0.62 (define @t174 () (= tptp.e11 @t71)) % 0.40/0.62 (define @t175 () (= tptp.e24 @t70)) % 0.40/0.62 (define @t176 () (not @t175)) % 0.40/0.62 (define @t177 () (= tptp.e23 @t72)) % 0.40/0.62 (define @t178 () (not @t177)) % 0.40/0.62 (define @t179 () (= tptp.e14 @t69)) % 0.40/0.62 (define @t180 () (not @t179)) % 0.40/0.62 (define @t181 () (not @t174)) % 0.40/0.62 (define @t182 () (= tptp.e21 @t39)) % 0.40/0.62 (define @t183 () (not @t182)) % 0.40/0.62 (define @t184 () (= tptp.e14 @t24)) % 0.40/0.62 (define @t185 () (not @t184)) % 0.40/0.62 (define @t186 () (not @t122)) % 0.40/0.62 (define @t187 () (not @t8)) % 0.40/0.62 (define @t188 () (= tptp.e24 @t59)) % 0.40/0.62 (define @t189 () (= tptp.e21 @t59)) % 0.40/0.62 (define @t190 () (and @t188 @t189 @t8)) % 0.40/0.62 (define @t191 () (@list true false false false false false false)) % 0.40/0.62 (define @t192 () (= tptp.e12 @t69)) % 0.40/0.62 (define @t193 () (not @t192)) % 0.40/0.62 (define @t194 () (= tptp.e12 @t26)) % 0.40/0.62 (define @t195 () (not @t194)) % 0.40/0.62 (define @t196 () (not @t126)) % 0.40/0.62 (define @t197 () (= tptp.e24 @t63)) % 0.40/0.62 (define @t198 () (= tptp.e21 @t63)) % 0.40/0.62 (define @t199 () (and @t197 @t198 @t8)) % 0.40/0.62 (define @t200 () (= tptp.e23 @t65)) % 0.40/0.62 (define @t201 () (and @t174 @t177)) % 0.40/0.62 (define @t202 () (not @t200)) % 0.40/0.62 (define @t203 () (= tptp.e11 @t69)) % 0.40/0.62 (define @t204 () (not @t203)) % 0.40/0.62 (define @t205 () (= tptp.e24 @t65)) % 0.40/0.62 (define @t206 () (and @t6 @t203 @t175)) % 0.40/0.62 (define @t207 () (= tptp.e24 @t34)) % 0.40/0.62 (define @t208 () (= tptp.e10 @t69)) % 0.40/0.62 (define @t209 () (and @t80 @t168 @t207 @t208)) % 0.40/0.62 (define @t210 () (not @t208)) % 0.40/0.62 (define @t211 () (= tptp.e13 @t69)) % 0.40/0.62 (define @t212 () (not @t211)) % 0.40/0.62 (define @t213 () (= tptp.e13 @t25)) % 0.40/0.62 (define @t214 () (not @t213)) % 0.40/0.62 (define @t215 () (not @t124)) % 0.40/0.62 (define @t216 () (= tptp.e24 @t61)) % 0.40/0.62 (define @t217 () (= tptp.e21 @t61)) % 0.40/0.62 (define @t218 () (and @t216 @t217 @t8)) % 0.40/0.62 (assume @p1 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) (not (= tptp.e10 tptp.e13)) @t4 (not (= tptp.e11 tptp.e12)) (not (= tptp.e11 tptp.e13)) (not (= tptp.e11 tptp.e14)) @t2 (not (= tptp.e12 tptp.e14)) (not (= tptp.e13 tptp.e14)))) % 0.40/0.62 (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)) @t8 (not (= tptp.e22 tptp.e23)) (not (= tptp.e22 tptp.e24)) @t6)) % 0.40/0.62 (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)))) % 0.40/0.62 (assume @p4 (and (= @t33 tptp.e14) (= @t32 tptp.e12) (= @t31 tptp.e10) (= @t30 tptp.e11) (= @t29 tptp.e13) (= @t28 tptp.e10) (= @t27 tptp.e11) (= @t26 tptp.e12) (= @t25 tptp.e13) (= @t24 tptp.e14) (= @t23 tptp.e11) (= @t22 tptp.e14) (= @t21 tptp.e13) (= @t20 tptp.e10) (= @t19 tptp.e12) (= @t18 tptp.e13) (= @t17 tptp.e10) (= @t16 tptp.e14) (= @t15 tptp.e12) (= @t14 tptp.e11) (= @t13 tptp.e12) (= @t12 tptp.e13) (= @t11 tptp.e11) (= @t10 tptp.e14) (= @t9 tptp.e10))) % 0.40/0.62 (assume @p5 (and (= @t58 tptp.e20) (= @t57 tptp.e23) (= @t56 tptp.e24) (= @t55 tptp.e21) (= @t54 tptp.e22) (= @t53 tptp.e24) (= @t52 tptp.e21) (= @t51 tptp.e23) (= @t50 tptp.e22) (= @t49 tptp.e20) (= @t48 tptp.e21) (= @t47 tptp.e20) (= @t46 tptp.e22) (= @t45 tptp.e24) (= @t44 tptp.e23) (= @t43 tptp.e22) (= @t42 tptp.e24) (= @t41 tptp.e20) (= @t40 tptp.e23) (= @t39 tptp.e21) (= @t38 tptp.e23) (= @t37 tptp.e22) (= @t36 tptp.e21) (= @t35 tptp.e20) (= @t34 tptp.e24))) % 0.40/0.62 (assume @p6 @t148) % 0.40/0.62 (assume @p7 true) % 0.40/0.62 (step @p8 :rule and_elim :premises (@p2) :args (6)) % 0.40/0.62 (step @p9 :rule and_elim :premises (@p4) :args (8)) % 0.40/0.62 (step @p10 :rule symm :premises (@p9)) % 0.40/0.62 (step @p11 :rule and_elim :premises (@p5) :args (19)) % 0.40/0.62 (step @p12 :rule symm :premises (@p11)) % 0.40/0.62 (step @p13 :rule eq-symm :args (@t60 tptp.e14)) % 0.40/0.62 (step @p14 :rule eq-symm :args (@t62 tptp.e13)) % 0.40/0.62 (step @p15 :rule eq-symm :args (@t64 tptp.e12)) % 0.40/0.62 (step @p16 :rule eq-symm :args (@t66 tptp.e11)) % 0.40/0.62 (step @p17 :rule eq-symm :args (@t68 tptp.e10)) % 0.40/0.62 (step @p18 :rule eq-symm :args (@t70 tptp.e24)) % 0.40/0.62 (step @p19 :rule eq-symm :args (@t72 tptp.e23)) % 0.40/0.62 (step @p20 :rule eq-symm :args (@t74 tptp.e22)) % 0.40/0.62 (step @p21 :rule eq-symm :args (@t76 tptp.e21)) % 0.40/0.62 (step @p22 :rule eq-symm :args (@t78 tptp.e20)) % 0.40/0.62 (step @p23 :rule refl :args (@t80)) % 0.40/0.62 (step @p24 :rule refl :args (@t81)) % 0.40/0.62 (step @p25 :rule refl :args (@t82)) % 0.40/0.62 (step @p26 :rule refl :args (@t83)) % 0.40/0.62 (step @p27 :rule refl :args (@t84)) % 0.40/0.62 (step @p28 :rule refl :args (@t85)) % 0.40/0.62 (step @p29 :rule refl :args (@t87)) % 0.40/0.62 (step @p30 :rule refl :args (@t88)) % 0.40/0.62 (step @p31 :rule refl :args (@t89)) % 0.40/0.62 (step @p32 :rule refl :args (@t90)) % 0.40/0.62 (step @p33 :rule refl :args (@t91)) % 0.40/0.62 (step @p34 :rule refl :args (@t92)) % 0.40/0.62 (step @p35 :rule refl :args (@t93)) % 0.40/0.62 (step @p36 :rule refl :args (@t94)) % 0.40/0.62 (step @p37 :rule refl :args (@t95)) % 0.40/0.62 (step @p38 :rule refl :args (@t96)) % 0.40/0.62 (step @p39 :rule refl :args (@t97)) % 0.40/0.62 (step @p40 :rule refl :args (@t98)) % 0.40/0.62 (step @p41 :rule refl :args (@t99)) % 0.40/0.62 (step @p42 :rule refl :args (@t100)) % 0.40/0.62 (step @p43 :rule refl :args (@t101)) % 0.40/0.62 (step @p44 :rule refl :args (@t102)) % 0.40/0.62 (step @p45 :rule refl :args (@t103)) % 0.40/0.62 (step @p46 :rule refl :args (@t104)) % 0.40/0.62 (step @p47 :rule refl :args (@t105)) % 0.40/0.62 (step @p48 :rule refl :args (@t106)) % 0.40/0.62 (step @p49 :rule refl :args (@t107)) % 0.40/0.62 (step @p50 :rule refl :args (@t108)) % 0.40/0.62 (step @p51 :rule refl :args (@t109)) % 0.40/0.62 (step @p52 :rule refl :args (@t110)) % 0.40/0.62 (step @p53 :rule refl :args (@t111)) % 0.40/0.62 (step @p54 :rule refl :args (@t112)) % 0.40/0.62 (step @p55 :rule refl :args (@t113)) % 0.40/0.62 (step @p56 :rule refl :args (@t114)) % 0.40/0.62 (step @p57 :rule refl :args (@t115)) % 0.40/0.62 (step @p58 :rule refl :args (@t116)) % 0.40/0.62 (step @p59 :rule refl :args (@t117)) % 0.40/0.62 (step @p60 :rule refl :args (@t118)) % 0.40/0.62 (step @p61 :rule refl :args (@t119)) % 0.40/0.62 (step @p62 :rule refl :args (@t120)) % 0.40/0.62 (step @p63 :rule refl :args (@t122)) % 0.40/0.62 (step @p64 :rule refl :args (@t124)) % 0.40/0.62 (step @p65 :rule refl :args (@t126)) % 0.40/0.62 (step @p66 :rule refl :args (@t127)) % 0.40/0.62 (step @p67 :rule refl :args (@t128)) % 0.40/0.62 (step @p68 :rule refl :args (@t129)) % 0.40/0.62 (step @p69 :rule refl :args (@t130)) % 0.40/0.62 (step @p70 :rule refl :args (@t131)) % 0.40/0.62 (step @p71 :rule refl :args (@t132)) % 0.40/0.62 (step @p72 :rule refl :args (@t133)) % 0.40/0.62 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13) :args (@t134)) % 0.40/0.62 (step @p74 :rule cong :premises (@p73) :args (@t135)) % 0.40/0.62 (step @p75 :rule eq-symm :args (@t69 tptp.e14)) % 0.40/0.62 (step @p76 :rule eq-symm :args (@t69 tptp.e13)) % 0.40/0.62 (step @p77 :rule eq-symm :args (@t69 tptp.e12)) % 0.40/0.62 (step @p78 :rule eq-symm :args (@t69 tptp.e11)) % 0.40/0.62 (step @p79 :rule eq-symm :args (@t69 tptp.e10)) % 0.40/0.62 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77 @p76 @p75) :args (@t136)) % 0.40/0.62 (step @p81 :rule eq-symm :args (@t71 tptp.e14)) % 0.40/0.62 (step @p82 :rule eq-symm :args (@t71 tptp.e13)) % 0.40/0.62 (step @p83 :rule eq-symm :args (@t71 tptp.e12)) % 0.40/0.62 (step @p84 :rule eq-symm :args (@t71 tptp.e11)) % 0.40/0.62 (step @p85 :rule eq-symm :args (@t71 tptp.e10)) % 0.40/0.62 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83 @p82 @p81) :args (@t137)) % 0.40/0.62 (step @p87 :rule eq-symm :args (@t73 tptp.e14)) % 0.40/0.62 (step @p88 :rule eq-symm :args (@t73 tptp.e13)) % 0.40/0.62 (step @p89 :rule eq-symm :args (@t73 tptp.e12)) % 0.40/0.62 (step @p90 :rule eq-symm :args (@t73 tptp.e11)) % 0.40/0.62 (step @p91 :rule eq-symm :args (@t73 tptp.e10)) % 0.40/0.62 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88 @p87) :args (@t138)) % 0.40/0.62 (step @p93 :rule eq-symm :args (@t75 tptp.e14)) % 0.40/0.62 (step @p94 :rule eq-symm :args (@t75 tptp.e13)) % 0.40/0.62 (step @p95 :rule eq-symm :args (@t75 tptp.e12)) % 0.40/0.62 (step @p96 :rule eq-symm :args (@t75 tptp.e11)) % 0.40/0.62 (step @p97 :rule eq-symm :args (@t75 tptp.e10)) % 0.40/0.62 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95 @p94 @p93) :args (@t139)) % 0.40/0.62 (step @p99 :rule eq-symm :args (@t77 tptp.e14)) % 0.40/0.62 (step @p100 :rule eq-symm :args (@t77 tptp.e13)) % 0.40/0.62 (step @p101 :rule eq-symm :args (@t77 tptp.e12)) % 0.40/0.62 (step @p102 :rule eq-symm :args (@t77 tptp.e11)) % 0.40/0.62 (step @p103 :rule eq-symm :args (@t77 tptp.e10)) % 0.40/0.62 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101 @p100 @p99) :args (@t140)) % 0.40/0.62 (step @p105 :rule eq-symm :args (@t59 tptp.e24)) % 0.40/0.62 (step @p106 :rule eq-symm :args (@t59 tptp.e23)) % 0.40/0.62 (step @p107 :rule eq-symm :args (@t59 tptp.e22)) % 0.40/0.62 (step @p108 :rule eq-symm :args (@t59 tptp.e21)) % 0.40/0.62 (step @p109 :rule eq-symm :args (@t59 tptp.e20)) % 0.40/0.62 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p106 @p105) :args (@t141)) % 0.40/0.62 (step @p111 :rule eq-symm :args (@t61 tptp.e24)) % 0.40/0.62 (step @p112 :rule eq-symm :args (@t61 tptp.e23)) % 0.40/0.62 (step @p113 :rule eq-symm :args (@t61 tptp.e22)) % 0.40/0.62 (step @p114 :rule eq-symm :args (@t61 tptp.e21)) % 0.40/0.62 (step @p115 :rule eq-symm :args (@t61 tptp.e20)) % 0.40/0.62 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111) :args (@t142)) % 0.40/0.62 (step @p117 :rule eq-symm :args (@t63 tptp.e24)) % 0.40/0.62 (step @p118 :rule eq-symm :args (@t63 tptp.e23)) % 0.40/0.62 (step @p119 :rule eq-symm :args (@t63 tptp.e22)) % 0.40/0.62 (step @p120 :rule eq-symm :args (@t63 tptp.e21)) % 0.40/0.62 (step @p121 :rule eq-symm :args (@t63 tptp.e20)) % 0.40/0.62 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118 @p117) :args (@t143)) % 0.40/0.62 (step @p123 :rule eq-symm :args (@t65 tptp.e24)) % 0.40/0.62 (step @p124 :rule eq-symm :args (@t65 tptp.e23)) % 0.40/0.62 (step @p125 :rule eq-symm :args (@t65 tptp.e22)) % 0.40/0.62 (step @p126 :rule eq-symm :args (@t65 tptp.e21)) % 0.40/0.62 (step @p127 :rule eq-symm :args (@t65 tptp.e20)) % 0.40/0.62 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125 @p124 @p123) :args (@t144)) % 0.40/0.62 (step @p129 :rule eq-symm :args (@t67 tptp.e24)) % 0.40/0.62 (step @p130 :rule eq-symm :args (@t67 tptp.e23)) % 0.40/0.62 (step @p131 :rule eq-symm :args (@t67 tptp.e22)) % 0.40/0.62 (step @p132 :rule eq-symm :args (@t67 tptp.e21)) % 0.40/0.62 (step @p133 :rule eq-symm :args (@t67 tptp.e20)) % 0.40/0.62 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130 @p129) :args (@t145)) % 0.40/0.62 (step @p135 :rule nary_cong :premises (@p134 @p128 @p122 @p116 @p110 @p104 @p98 @p92 @p86 @p80) :args (@t146)) % 0.40/0.62 (step @p136 :rule cong :premises (@p135 @p74) :args (@t147)) % 0.40/0.62 (step @p137 :rule cong :premises (@p136) :args (@t148)) % 0.40/0.62 (step @p138 :rule eq_resolve :premises (@p6 @p137)) % 0.40/0.62 (step @p139 :rule not_implies_elim2 :premises (@p138)) % 0.40/0.62 (step @p140 :rule not_not_elim :premises (@p139)) % 0.40/0.62 (step @p141 :rule and_elim :premises (@p140) :args (8)) % 0.40/0.62 (step @p142 :rule and_elim :premises (@p140) :args (53)) % 0.40/0.62 (step @p143 :rule and_elim :premises (@p140) :args (54)) % 0.40/0.62 (step @p144 :rule and_elim :premises (@p140) :args (43)) % 0.40/0.62 (step @p145 :rule and_elim :premises (@p5) :args (18)) % 0.40/0.62 (step @p146 :rule symm :premises (@p145)) % 0.40/0.62 (step @p147 :rule and_elim :premises (@p4) :args (12)) % 0.40/0.62 (step @p148 :rule symm :premises (@p147)) % 0.40/0.62 (step @p149 :rule and_elim :premises (@p4) :args (1)) % 0.40/0.62 (step @p150 :rule symm :premises (@p149)) % 0.40/0.62 (step @p151 :rule and_elim :premises (@p1) :args (7)) % 0.40/0.62 (step @p152 :rule refl :args (@t150)) % 0.40/0.62 (step @p153 :rule refl :args (@t152)) % 0.40/0.62 (step @p154 :rule refl :args (@t154)) % 0.40/0.62 (step @p155 :rule refl :args (@t156)) % 0.40/0.62 (step @p156 :rule refl :args (@t157)) % 0.40/0.62 (step @p157 :rule bool-double-not-elim :args (@t1)) % 0.40/0.62 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154 @p153 @p152) :args ((or (not @t2) @t157 @t156 @t154 @t152 @t150))) % 0.40/0.62 (assume-push @p665 @t153) % 0.40/0.62 (assume-push @p666 @t149) % 0.40/0.62 (assume-push @p667 @t158) % 0.40/0.62 (assume-push @p668 @t2) % 0.40/0.62 (step @p163 :rule evaluate :args (@t159)) % 0.40/0.62 (step @p164 :rule symm :premises (@p666)) % 0.40/0.62 (step @p165 :rule trans :premises (@p667 @p164 @p150)) % 0.40/0.62 (step @p166 :rule symm :premises (@p165)) % 0.40/0.62 (step @p167 :rule trans :premises (@p150 @p166)) % 0.40/0.62 (step @p168 :rule true_intro :premises (@p167)) % 0.40/0.62 (step @p169 :rule false_intro :premises (@p151)) % 0.40/0.62 (step @p170 :rule symm :premises (@p169)) % 0.40/0.62 (step @p171 :rule trans :premises (@p170 @p168)) % 0.40/0.62 (step @p172 false :rule eq_resolve :premises (@p171 @p163)) % 0.40/0.62 (step-pop @p669 :rule scope :premises (@p172)) % 0.40/0.62 (step-pop @p670 :rule scope :premises (@p669)) % 0.40/0.62 (step-pop @p671 :rule scope :premises (@p670)) % 0.40/0.62 (step-pop @p672 :rule scope :premises (@p671)) % 0.40/0.62 (step @p173 :rule process_scope :premises (@p672) :args (false)) % 0.40/0.62 (assume-push @p673 @t2) % 0.40/0.62 (assume-push @p674 @t87) % 0.40/0.62 (assume-push @p675 @t155) % 0.40/0.62 (assume-push @p676 @t153) % 0.40/0.62 (assume-push @p677 @t151) % 0.40/0.62 (assume-push @p678 @t149) % 0.40/0.62 (assume-push @p679 @t151) % 0.40/0.62 (assume-push @p680 @t87) % 0.40/0.62 (assume-push @p681 @t149) % 0.40/0.62 (assume-push @p682 @t155) % 0.40/0.62 (step @p188 :rule cong :premises (@p145) :args (@t86)) % 0.40/0.62 (step @p189 :rule symm :premises (@p144)) % 0.40/0.62 (step @p190 :rule cong :premises (@p678 @p678) :args (@t21)) % 0.40/0.62 (step @p191 :rule trans :premises (@p148 @p190 @p189 @p188)) % 0.40/0.62 (step-pop @p683 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@p805 @t174) % 0.40/0.62 (assume-push @p806 @t177) % 0.40/0.62 (assume-push @p807 @t192) % 0.40/0.62 (assume-push @p808 @t175) % 0.40/0.62 (assume-push @p809 @t182) % 0.40/0.62 (step @p447 :rule cong :premises (@p414) :args (@t125)) % 0.40/0.62 (step @p448 :rule symm :premises (@p413)) % 0.40/0.62 (step @p449 :rule symm :premises (@p800)) % 0.40/0.62 (step @p450 :rule cong :premises (@p449) :args (@t70)) % 0.40/0.62 (step @p451 :rule trans :premises (@p143 @p450)) % 0.40/0.62 (step @p452 :rule symm :premises (@p799)) % 0.40/0.62 (step @p453 :rule cong :premises (@p452) :args (@t72)) % 0.40/0.62 (step @p454 :rule trans :premises (@p142 @p453)) % 0.40/0.62 (step @p455 :rule cong :premises (@p454 @p451) :args (@t39)) % 0.40/0.62 (step @p456 :rule trans :premises (@p12 @p455 @p448 @p447)) % 0.40/0.62 (step-pop @p810 :rule scope :premises (@p456)) % 0.40/0.62 (step-pop @p811 :rule scope :premises (@p810)) % 0.40/0.62 (step-pop @p812 :rule scope :premises (@p811)) % 0.40/0.62 (step-pop @p813 :rule scope :premises (@p812)) % 0.40/0.62 (step-pop @p814 :rule scope :premises (@p813)) % 0.40/0.62 (step-pop @p815 :rule scope :premises (@p814)) % 0.40/0.62 (step-pop @p816 :rule scope :premises (@p815)) % 0.40/0.62 (step @p457 :rule process_scope :premises (@p816) :args (@t198)) % 0.40/0.62 (step @p465 :rule and_intro :premises (@p415 @p413 @p799 @p142 @p800 @p143 @p12)) % 0.40/0.62 (step @p466 :rule modus_ponens :premises (@p465 @p457)) % 0.40/0.62 (assume-push @p817 @t192) % 0.40/0.62 (assume-push @p818 @t175) % 0.40/0.62 (step @p469 :rule symm :premises (@p800)) % 0.40/0.62 (step @p470 :rule cong :premises (@p469) :args (@t70)) % 0.40/0.62 (step @p471 :rule trans :premises (@p143 @p470)) % 0.40/0.62 (step-pop @p819 :rule scope :premises (@p471)) % 0.40/0.62 (step-pop @p820 :rule scope :premises (@p819)) % 0.40/0.62 (step @p472 :rule process_scope :premises (@p820) :args (@t197)) % 0.40/0.62 (step @p475 :rule and_intro :premises (@p800 @p143)) % 0.40/0.62 (step @p476 :rule modus_ponens :premises (@p475 @p472)) % 0.40/0.62 (step @p477 :rule and_intro :premises (@p476 @p466 @p8)) % 0.40/0.62 (step-pop @p821 :rule scope :premises (@p477)) % 0.40/0.62 (step-pop @p822 :rule scope :premises (@p821)) % 0.40/0.62 (step-pop @p823 :rule scope :premises (@p822)) % 0.40/0.62 (step-pop @p824 :rule scope :premises (@p823)) % 0.40/0.62 (step-pop @p825 :rule scope :premises (@p824)) % 0.40/0.62 (step-pop @p826 :rule scope :premises (@p825)) % 0.40/0.62 (step-pop @p827 :rule scope :premises (@p826)) % 0.40/0.62 (step-pop @p828 :rule scope :premises (@p827)) % 0.40/0.62 (step @p478 :rule process_scope :premises (@p828) :args (@t199)) % 0.40/0.62 (step @p487 :rule implies_elim :premises (@p478)) % 0.40/0.62 (step @p488 :rule resolution :premises (@p487 @p428) :args (true @t199)) % 0.40/0.62 (step @p489 :rule not_and :premises (@p488)) % 0.40/0.62 (step @p490 :rule eq_resolve :premises (@p489 @p419)) % 0.40/0.62 (step @p491 :rule reordering :premises (@p490) :args ((or @t7 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(@p505)) % 0.40/0.62 (step-pop @p836 :rule scope :premises (@p835)) % 0.40/0.62 (step @p506 :rule process_scope :premises (@p836) :args (@t200)) % 0.40/0.62 (step @p509 :rule implies_elim :premises (@p506)) % 0.40/0.62 (step @p510 :rule cnf_and_neg :args (@t201)) % 0.40/0.62 (step @p511 :rule resolution :premises (@p510 @p509) :args (true @t201)) % 0.40/0.62 (step @p512 :rule reordering :premises (@p511) :args ((or @t200 @t181 @t178))) % 0.40/0.62 (step @p513 :rule chain_m_resolution :premises (@p512 @p325 @p142) :args (@t200 (@list false false) (@list @t174 @t177))) % 0.40/0.62 (step @p514 :rule refl :args (@t202)) % 0.40/0.62 (step @p515 :rule refl :args (@t204)) % 0.40/0.62 (step @p516 :rule bool-double-not-elim :args (@t5)) % 0.40/0.62 (step @p517 :rule nary_cong :premises (@p516 @p515 @p329 @p514) :args ((or (not @t6) @t204 @t176 @t202))) % 0.40/0.62 (assume-push @p837 @t6) % 0.40/0.62 (assume-push @p838 @t203) % 0.40/0.62 (assume-push @p839 @t175) % 0.40/0.62 (assume-push @p840 @t6) % 0.40/0.62 (assume-push @p841 @t205) % 0.40/0.62 (step @p523 :rule false_intro :premises (@p493)) % 0.40/0.62 (step @p524 :rule symm :premises (@p841)) % 0.40/0.62 (step @p525 :rule refl :args (tptp.e23)) % 0.40/0.62 (step @p526 :rule cong :premises (@p525 @p524) :args (@t200)) % 0.40/0.62 (step @p527 :rule trans :premises (@p526 @p523)) % 0.40/0.62 (step @p528 :rule false_elim :premises (@p527)) % 0.40/0.62 (step-pop @p842 :rule scope :premises (@p528)) % 0.40/0.62 (step-pop @p843 :rule scope :premises (@p842)) % 0.40/0.62 (step @p529 :rule process_scope :premises (@p843) :args (@t202)) % 0.40/0.62 (assume-push @p844 @t203) % 0.40/0.62 (assume-push @p845 @t175) % 0.40/0.62 (step @p534 :rule symm :premises (@p838)) % 0.40/0.62 (step @p535 :rule cong :premises (@p534) :args (@t70)) % 0.40/0.62 (step @p536 :rule trans :premises (@p143 @p535)) % 0.40/0.62 (step-pop @p846 :rule scope :premises (@p536)) % 0.40/0.62 (step-pop @p847 :rule scope :premises (@p846)) % 0.40/0.62 (step @p537 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(@p584 @p412 @p214 @p556 @p554) :args (@t210 @t167 (@list @t179 @t168 @t207 @t80))) % 0.40/0.62 (step @p586 :rule and_elim :premises (@p294) :args (9)) % 0.40/0.62 (step @p587 :rule chain_m_resolution :premises (@p586 @p585 @p553 @p492 @p412) :args (@t211 (@list true true true true) (@list @t208 @t203 @t192 @t179))) % 0.40/0.62 (step @p588 :rule refl :args (@t212)) % 0.40/0.62 (step @p589 :rule refl :args (@t214)) % 0.40/0.62 (step @p590 :rule refl :args (@t215)) % 0.40/0.62 (step @p591 :rule nary_cong :premises (@p336 @p590 @p589 @p333 @p332 @p588 @p330 @p329) :args ((or @t187 @t215 @t214 @t183 @t181 @t212 @t178 @t176))) % 0.40/0.62 (assume-push @p867 @t216) % 0.40/0.62 (assume-push @p868 @t217) % 0.40/0.62 (assume-push @p869 @t8) % 0.40/0.62 (step @p163 :rule evaluate :args (@t159)) % 0.40/0.62 (step @p595 :rule symm :premises (@p867)) % 0.40/0.62 (step @p596 :rule trans :premises (@p868 @p595)) % 0.40/0.62 (step @p597 :rule true_intro :premises (@p596)) % 0.40/0.62 (step @p344 :rule false_intro :premises (@p8)) % 0.40/0.62 (step @p345 :rule symm :premises (@p344)) % 0.40/0.62 (step @p598 :rule trans :premises (@p345 @p597)) % 0.40/0.62 (step @p599 false :rule eq_resolve :premises (@p598 @p163)) % 0.40/0.62 (step-pop @p870 :rule scope :premises (@p599)) % 0.40/0.62 (step-pop @p871 :rule scope :premises (@p870)) % 0.40/0.62 (step-pop @p872 :rule scope :premises (@p871)) % 0.40/0.62 (step @p600 :rule process_scope :premises (@p872) :args (false)) % 0.40/0.62 (assume-push @p873 @t8) % 0.40/0.62 (assume-push @p874 @t124) % 0.40/0.62 (assume-push @p875 @t213) % 0.40/0.62 (assume-push @p876 @t182) % 0.40/0.62 (assume-push @p877 @t174) % 0.40/0.62 (assume-push @p878 @t211) % 0.40/0.62 (assume-push @p879 @t177) % 0.40/0.62 (assume-push @p880 @t175) % 0.40/0.62 (assume-push @p881 @t213) % 0.40/0.62 (assume-push @p882 @t124) % 0.40/0.62 (assume-push @p883 @t174) % 0.40/0.62 (assume-push @p884 @t177) % 0.40/0.62 (assume-push @p885 @t211) % 0.40/0.62 (assume-push @p886 @t175) % 0.40/0.62 (assume-push @p887 @t182) % 0.40/0.62 (step @p619 :rule cong :premises (@p9) :args (@t123)) % 0.40/0.62 (step @p620 :rule symm :premises (@p141)) % 0.40/0.62 (step @p621 :rule symm :premises (@p878)) % 0.40/0.62 (step @p622 :rule cong :premises (@p621) :args (@t70)) % 0.40/0.62 (step @p623 :rule trans :premises (@p143 @p622)) % 0.40/0.62 (step @p624 :rule symm :premises (@p877)) % 0.40/0.62 (step @p625 :rule cong :premises (@p624) :args (@t72)) % 0.40/0.62 (step @p626 :rule trans :premises (@p142 @p625)) % 0.40/0.62 (step @p627 :rule cong :premises (@p626 @p623) :args (@t39)) % 0.40/0.62 (step @p628 :rule trans :premises (@p12 @p627 @p620 @p619)) % 0.40/0.62 (step-pop @p888 :rule scope :premises (@p628)) % 0.40/0.62 (step-pop @p889 :rule scope :premises (@p888)) % 0.40/0.62 (step-pop @p890 :rule scope :premises (@p889)) % 0.40/0.62 (step-pop @p891 :rule scope :premises (@p890)) % 0.40/0.62 (step-pop @p892 :rule scope :premises (@p891)) % 0.40/0.62 (step-pop @p893 :rule scope :premises (@p892)) % 0.40/0.62 (step-pop @p894 :rule scope :premises (@p893)) % 0.40/0.62 (step @p629 :rule process_scope :premises (@p894) :args (@t217)) % 0.40/0.62 (step @p637 :rule and_intro :premises (@p10 @p141 @p877 @p142 @p878 @p143 @p12)) % 0.40/0.62 (step @p638 :rule modus_ponens :premises (@p637 @p629)) % 0.40/0.62 (assume-push @p895 @t211) % 0.40/0.62 (assume-push @p896 @t175) % 0.40/0.62 (step @p641 :rule symm :premises (@p878)) % 0.40/0.62 (step @p642 :rule cong :premises (@p641) :args (@t70)) % 0.40/0.62 (step @p643 :rule trans :premises (@p143 @p642)) % 0.40/0.62 (step-pop @p897 :rule scope :premises (@p643)) % 0.40/0.62 (step-pop @p898 :rule scope :premises (@p897)) % 0.40/0.62 (step @p644 :rule process_scope :premises (@p898) :args (@t216)) % 0.40/0.62 (step @p647 :rule and_intro :premises (@p878 @p143)) % 0.40/0.62 (step @p648 :rule modus_ponens :premises (@p647 @p644)) % 0.40/0.62 (step @p649 :rule and_intro :premises (@p648 @p638 @p8)) % 0.40/0.62 (step-pop @p899 :rule scope :premises (@p649)) % 0.40/0.62 (step-pop @p900 :rule scope :premises (@p899)) % 0.40/0.62 (step-pop @p901 :rule scope :premises (@p900)) % 0.40/0.62 (step-pop @p902 :rule scope :premises (@p901)) % 0.40/0.62 (step-pop @p903 :rule scope :premises (@p902)) % 0.40/0.62 (step-pop @p904 :rule scope :premises (@p903)) % 0.40/0.62 (step-pop @p905 :rule scope :premises (@p904)) % 0.40/0.62 (step-pop @p906 :rule scope :premises (@p905)) % 0.40/0.62 (step @p650 :rule process_scope :premises (@p906) :args (@t218)) % 0.40/0.62 (step @p659 :rule implies_elim :premises (@p650)) % 0.40/0.62 (step @p660 :rule resolution :premises (@p659 @p600) :args (true @t218)) % 0.40/0.62 (step @p661 :rule not_and :premises (@p660)) % 0.40/0.62 (step @p662 :rule eq_resolve :premises (@p661 @p591)) % 0.40/0.62 (step @p663 :rule reordering :premises (@p662) :args ((or @t7 @t214 @t183 @t181 @t212 @t215 @t178 @t176))) % 0.40/0.62 (step @p664 false :rule chain_m_resolution :premises (@p663 @p587 @p325 @p143 @p142 @p141 @p12 @p10 @p8) :args (false (@list false false false false false false false true) (@list @t211 @t174 @t175 @t177 @t124 @t182 @t213 @t7))) % 0.40/0.62 ) % 0.40/0.62 % SZS output end Proof % 0.40/0.62 % cvc5 exiting %------------------------------------------------------------------------------