%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG181+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 : n011.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 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG181+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 % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:40:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.e13 $$unsorted) % 0.37/0.59 (declare-const tptp.e12 $$unsorted) % 0.37/0.59 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.e11 $$unsorted) % 0.37/0.59 (declare-const tptp.e10 $$unsorted) % 0.37/0.59 (declare-const tptp.e24 $$unsorted) % 0.37/0.59 (declare-const tptp.e23 $$unsorted) % 0.37/0.59 (declare-const tptp.e22 $$unsorted) % 0.37/0.59 (declare-const tptp.e21 $$unsorted) % 0.37/0.59 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.e14 $$unsorted) % 0.37/0.59 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.e20 $$unsorted) % 0.37/0.59 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.37/0.59 (define @t1 () (= tptp.e11 tptp.e14)) % 0.37/0.59 (define @t2 () (not @t1)) % 0.37/0.59 (define @t3 () (= tptp.e10 tptp.e13)) % 0.37/0.59 (define @t4 () (not @t3)) % 0.37/0.59 (define @t5 () (= tptp.e23 tptp.e24)) % 0.37/0.59 (define @t6 () (not @t5)) % 0.37/0.59 (define @t7 () (tptp.op1 tptp.e14 tptp.e14)) % 0.37/0.59 (define @t8 () (tptp.op1 tptp.e14 tptp.e13)) % 0.37/0.59 (define @t9 () (tptp.op1 tptp.e14 tptp.e12)) % 0.37/0.59 (define @t10 () (tptp.op1 tptp.e14 tptp.e11)) % 0.37/0.59 (define @t11 () (tptp.op1 tptp.e14 tptp.e10)) % 0.37/0.59 (define @t12 () (tptp.op1 tptp.e13 tptp.e14)) % 0.37/0.59 (define @t13 () (tptp.op1 tptp.e13 tptp.e13)) % 0.37/0.59 (define @t14 () (tptp.op1 tptp.e13 tptp.e12)) % 0.37/0.59 (define @t15 () (tptp.op1 tptp.e13 tptp.e11)) % 0.37/0.59 (define @t16 () (tptp.op1 tptp.e13 tptp.e10)) % 0.37/0.59 (define @t17 () (tptp.op1 tptp.e12 tptp.e14)) % 0.37/0.59 (define @t18 () (tptp.op1 tptp.e12 tptp.e13)) % 0.37/0.59 (define @t19 () (tptp.op1 tptp.e12 tptp.e12)) % 0.37/0.59 (define @t20 () (tptp.op1 tptp.e12 tptp.e11)) % 0.37/0.59 (define @t21 () (tptp.op1 tptp.e12 tptp.e10)) % 0.37/0.59 (define @t22 () (tptp.op1 tptp.e11 tptp.e14)) % 0.37/0.59 (define @t23 () (tptp.op1 tptp.e11 tptp.e13)) % 0.37/0.59 (define @t24 () (tptp.op1 tptp.e11 tptp.e12)) % 0.37/0.59 (define @t25 () (tptp.op1 tptp.e11 tptp.e11)) % 0.37/0.59 (define @t26 () (tptp.op1 tptp.e11 tptp.e10)) % 0.37/0.59 (define @t27 () (tptp.op1 tptp.e10 tptp.e14)) % 0.37/0.59 (define @t28 () (tptp.op1 tptp.e10 tptp.e13)) % 0.37/0.59 (define @t29 () (tptp.op1 tptp.e10 tptp.e12)) % 0.37/0.59 (define @t30 () (tptp.op1 tptp.e10 tptp.e11)) % 0.37/0.59 (define @t31 () (tptp.op1 tptp.e10 tptp.e10)) % 0.37/0.59 (define @t32 () (tptp.op2 tptp.e24 tptp.e24)) % 0.37/0.59 (define @t33 () (tptp.op2 tptp.e24 tptp.e23)) % 0.37/0.59 (define @t34 () (tptp.op2 tptp.e24 tptp.e22)) % 0.37/0.59 (define @t35 () (tptp.op2 tptp.e24 tptp.e21)) % 0.37/0.59 (define @t36 () (tptp.op2 tptp.e24 tptp.e20)) % 0.37/0.59 (define @t37 () (tptp.op2 tptp.e23 tptp.e24)) % 0.37/0.59 (define @t38 () (tptp.op2 tptp.e23 tptp.e23)) % 0.37/0.59 (define @t39 () (tptp.op2 tptp.e23 tptp.e22)) % 0.37/0.59 (define @t40 () (tptp.op2 tptp.e23 tptp.e21)) % 0.37/0.59 (define @t41 () (tptp.op2 tptp.e23 tptp.e20)) % 0.37/0.59 (define @t42 () (tptp.op2 tptp.e22 tptp.e24)) % 0.37/0.59 (define @t43 () (tptp.op2 tptp.e22 tptp.e23)) % 0.37/0.59 (define @t44 () (tptp.op2 tptp.e22 tptp.e22)) % 0.37/0.59 (define @t45 () (tptp.op2 tptp.e22 tptp.e21)) % 0.37/0.59 (define @t46 () (tptp.op2 tptp.e22 tptp.e20)) % 0.37/0.59 (define @t47 () (tptp.op2 tptp.e21 tptp.e24)) % 0.37/0.59 (define @t48 () (tptp.op2 tptp.e21 tptp.e23)) % 0.37/0.59 (define @t49 () (tptp.op2 tptp.e21 tptp.e22)) % 0.37/0.59 (define @t50 () (tptp.op2 tptp.e21 tptp.e21)) % 0.37/0.59 (define @t51 () (tptp.op2 tptp.e21 tptp.e20)) % 0.37/0.59 (define @t52 () (tptp.op2 tptp.e20 tptp.e24)) % 0.37/0.59 (define @t53 () (tptp.op2 tptp.e20 tptp.e23)) % 0.37/0.59 (define @t54 () (tptp.op2 tptp.e20 tptp.e22)) % 0.37/0.59 (define @t55 () (tptp.op2 tptp.e20 tptp.e21)) % 0.37/0.59 (define @t56 () (tptp.op2 tptp.e20 tptp.e20)) % 0.37/0.59 (define @t57 () (tptp.h tptp.e14)) % 0.37/0.59 (define @t58 () (tptp.j @t57)) % 0.37/0.59 (define @t59 () (tptp.h tptp.e13)) % 0.37/0.59 (define @t60 () (tptp.j @t59)) % 0.37/0.59 (define @t61 () (tptp.h tptp.e12)) % 0.37/0.59 (define @t62 () (tptp.j @t61)) % 0.37/0.59 (define @t63 () (tptp.h tptp.e11)) % 0.37/0.59 (define @t64 () (tptp.j @t63)) % 0.37/0.59 (define @t65 () (tptp.h tptp.e10)) % 0.37/0.59 (define @t66 () (tptp.j @t65)) % 0.37/0.59 (define @t67 () (tptp.j tptp.e24)) % 0.37/0.59 (define @t68 () (tptp.h @t67)) % 0.37/0.59 (define @t69 () (tptp.j tptp.e23)) % 0.37/0.59 (define @t70 () (tptp.h @t69)) % 0.37/0.59 (define @t71 () (tptp.j tptp.e22)) % 0.37/0.59 (define @t72 () (tptp.h @t71)) % 0.37/0.59 (define @t73 () (tptp.j tptp.e21)) % 0.37/0.59 (define @t74 () (tptp.h @t73)) % 0.37/0.59 (define @t75 () (tptp.j tptp.e20)) % 0.37/0.59 (define @t76 () (tptp.h @t75)) % 0.37/0.59 (define @t77 () (tptp.j @t32)) % 0.37/0.59 (define @t78 () (= @t77 (tptp.op1 @t67 @t67))) % 0.37/0.59 (define @t79 () (= (tptp.j @t33) (tptp.op1 @t67 @t69))) % 0.37/0.59 (define @t80 () (= (tptp.j @t34) (tptp.op1 @t67 @t71))) % 0.37/0.59 (define @t81 () (= (tptp.j @t35) (tptp.op1 @t67 @t73))) % 0.37/0.59 (define @t82 () (= (tptp.j @t36) (tptp.op1 @t67 @t75))) % 0.37/0.59 (define @t83 () (= (tptp.j @t37) (tptp.op1 @t69 @t67))) % 0.37/0.59 (define @t84 () (tptp.j @t38)) % 0.37/0.59 (define @t85 () (= @t84 (tptp.op1 @t69 @t69))) % 0.37/0.59 (define @t86 () (= (tptp.j @t39) (tptp.op1 @t69 @t71))) % 0.37/0.59 (define @t87 () (= (tptp.j @t40) (tptp.op1 @t69 @t73))) % 0.37/0.59 (define @t88 () (= (tptp.j @t41) (tptp.op1 @t69 @t75))) % 0.37/0.59 (define @t89 () (= (tptp.j @t42) (tptp.op1 @t71 @t67))) % 0.37/0.59 (define @t90 () (= (tptp.j @t43) (tptp.op1 @t71 @t69))) % 0.37/0.59 (define @t91 () (= (tptp.j @t44) (tptp.op1 @t71 @t71))) % 0.37/0.59 (define @t92 () (= (tptp.j @t45) (tptp.op1 @t71 @t73))) % 0.37/0.59 (define @t93 () (= (tptp.j @t46) (tptp.op1 @t71 @t75))) % 0.37/0.59 (define @t94 () (= (tptp.j @t47) (tptp.op1 @t73 @t67))) % 0.37/0.59 (define @t95 () (= (tptp.j @t48) (tptp.op1 @t73 @t69))) % 0.37/0.59 (define @t96 () (= (tptp.j @t49) (tptp.op1 @t73 @t71))) % 0.37/0.59 (define @t97 () (= (tptp.j @t50) (tptp.op1 @t73 @t73))) % 0.37/0.59 (define @t98 () (= (tptp.j @t51) (tptp.op1 @t73 @t75))) % 0.37/0.59 (define @t99 () (= (tptp.j @t52) (tptp.op1 @t75 @t67))) % 0.37/0.59 (define @t100 () (= (tptp.j @t53) (tptp.op1 @t75 @t69))) % 0.37/0.59 (define @t101 () (= (tptp.j @t54) (tptp.op1 @t75 @t71))) % 0.37/0.59 (define @t102 () (= (tptp.j @t55) (tptp.op1 @t75 @t73))) % 0.37/0.59 (define @t103 () (= (tptp.j @t56) (tptp.op1 @t75 @t75))) % 0.37/0.59 (define @t104 () (= (tptp.h @t7) (tptp.op2 @t57 @t57))) % 0.37/0.59 (define @t105 () (= (tptp.h @t8) (tptp.op2 @t57 @t59))) % 0.37/0.59 (define @t106 () (= (tptp.h @t9) (tptp.op2 @t57 @t61))) % 0.37/0.59 (define @t107 () (= (tptp.h @t10) (tptp.op2 @t57 @t63))) % 0.37/0.59 (define @t108 () (= (tptp.h @t11) (tptp.op2 @t57 @t65))) % 0.37/0.59 (define @t109 () (= (tptp.h @t12) (tptp.op2 @t59 @t57))) % 0.37/0.59 (define @t110 () (= (tptp.h @t13) (tptp.op2 @t59 @t59))) % 0.37/0.59 (define @t111 () (= (tptp.h @t14) (tptp.op2 @t59 @t61))) % 0.37/0.59 (define @t112 () (= (tptp.h @t15) (tptp.op2 @t59 @t63))) % 0.37/0.59 (define @t113 () (= (tptp.h @t16) (tptp.op2 @t59 @t65))) % 0.37/0.59 (define @t114 () (= (tptp.h @t17) (tptp.op2 @t61 @t57))) % 0.37/0.59 (define @t115 () (= (tptp.h @t18) (tptp.op2 @t61 @t59))) % 0.37/0.59 (define @t116 () (= (tptp.h @t19) (tptp.op2 @t61 @t61))) % 0.37/0.59 (define @t117 () (= (tptp.h @t20) (tptp.op2 @t61 @t63))) % 0.37/0.59 (define @t118 () (= (tptp.h @t21) (tptp.op2 @t61 @t65))) % 0.37/0.59 (define @t119 () (= (tptp.h @t22) (tptp.op2 @t63 @t57))) % 0.37/0.59 (define @t120 () (= (tptp.h @t23) (tptp.op2 @t63 @t59))) % 0.37/0.59 (define @t121 () (= (tptp.h @t24) (tptp.op2 @t63 @t61))) % 0.37/0.59 (define @t122 () (= (tptp.h @t25) (tptp.op2 @t63 @t63))) % 0.37/0.59 (define @t123 () (= (tptp.h @t26) (tptp.op2 @t63 @t65))) % 0.37/0.59 (define @t124 () (= (tptp.h @t27) (tptp.op2 @t65 @t57))) % 0.37/0.59 (define @t125 () (= (tptp.h @t28) (tptp.op2 @t65 @t59))) % 0.37/0.59 (define @t126 () (= (tptp.h @t29) (tptp.op2 @t65 @t61))) % 0.37/0.59 (define @t127 () (= (tptp.h @t30) (tptp.op2 @t65 @t63))) % 0.37/0.59 (define @t128 () (= (tptp.h @t31) (tptp.op2 @t65 @t65))) % 0.37/0.59 (define @t129 () (and @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 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t83 @t82 @t81 @t80 @t79 @t78 (= @t76 tptp.e20) (= @t74 tptp.e21) (= @t72 tptp.e22) (= @t70 tptp.e23) (= @t68 tptp.e24) (= @t66 tptp.e10) (= @t64 tptp.e11) (= @t62 tptp.e12) (= @t60 tptp.e13) (= @t58 tptp.e14))) % 0.37/0.59 (define @t130 () (not @t129)) % 0.37/0.59 (define @t131 () (or (= @t67 tptp.e10) (= @t67 tptp.e11) (= @t67 tptp.e12) (= @t67 tptp.e13) (= @t67 tptp.e14))) % 0.37/0.59 (define @t132 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14))) % 0.37/0.59 (define @t133 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14))) % 0.37/0.59 (define @t134 () (or (= @t73 tptp.e10) (= @t73 tptp.e11) (= @t73 tptp.e12) (= @t73 tptp.e13) (= @t73 tptp.e14))) % 0.37/0.59 (define @t135 () (or (= @t75 tptp.e10) (= @t75 tptp.e11) (= @t75 tptp.e12) (= @t75 tptp.e13) (= @t75 tptp.e14))) % 0.37/0.59 (define @t136 () (or (= @t57 tptp.e20) (= @t57 tptp.e21) (= @t57 tptp.e22) (= @t57 tptp.e23) (= @t57 tptp.e24))) % 0.37/0.59 (define @t137 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24))) % 0.37/0.59 (define @t138 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24))) % 0.37/0.59 (define @t139 () (or (= @t63 tptp.e20) (= @t63 tptp.e21) (= @t63 tptp.e22) (= @t63 tptp.e23) (= @t63 tptp.e24))) % 0.37/0.59 (define @t140 () (or (= @t65 tptp.e20) (= @t65 tptp.e21) (= @t65 tptp.e22) (= @t65 tptp.e23) (= @t65 tptp.e24))) % 0.37/0.59 (define @t141 () (and @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t131)) % 0.37/0.59 (define @t142 () (=> @t141 @t130)) % 0.37/0.59 (define @t143 () (not @t142)) % 0.37/0.59 (define @t144 () (= tptp.e13 @t67)) % 0.37/0.59 (define @t145 () (not @t144)) % 0.37/0.59 (define @t146 () (= tptp.e24 @t32)) % 0.37/0.59 (define @t147 () (not @t146)) % 0.37/0.59 (define @t148 () (= tptp.e10 @t13)) % 0.37/0.59 (define @t149 () (not @t148)) % 0.37/0.59 (define @t150 () (not @t78)) % 0.37/0.59 (define @t151 () (not @t4)) % 0.37/0.59 (define @t152 () (= tptp.e10 @t67)) % 0.37/0.59 (define @t153 () (= false true)) % 0.37/0.59 (define @t154 () (and @t144 @t152 @t4)) % 0.37/0.59 (define @t155 () (@list true false false false)) % 0.37/0.59 (define @t156 () (= tptp.e14 @t25)) % 0.37/0.59 (define @t157 () (= tptp.e11 @t67)) % 0.37/0.59 (define @t158 () (= tptp.e14 @t67)) % 0.37/0.59 (define @t159 () (and @t78 @t156 @t146 @t157)) % 0.37/0.59 (define @t160 () (not @t156)) % 0.37/0.59 (define @t161 () (= tptp.e13 @t31)) % 0.37/0.59 (define @t162 () (and @t78 @t161 @t146 @t152)) % 0.37/0.59 (define @t163 () (not @t161)) % 0.37/0.59 (define @t164 () (= tptp.e11 @t69)) % 0.37/0.59 (define @t165 () (not @t164)) % 0.37/0.59 (define @t166 () (= tptp.e23 @t38)) % 0.37/0.59 (define @t167 () (not @t166)) % 0.37/0.59 (define @t168 () (= tptp.e11 @t28)) % 0.37/0.59 (define @t169 () (not @t168)) % 0.37/0.59 (define @t170 () (not @t85)) % 0.37/0.59 (define @t171 () (not @t2)) % 0.37/0.59 (define @t172 () (= tptp.e14 @t69)) % 0.37/0.59 (define @t173 () (and @t168 @t164 @t172 @t2)) % 0.37/0.59 (define @t174 () (= tptp.e13 @t69)) % 0.37/0.59 (define @t175 () (= tptp.e10 @t69)) % 0.37/0.59 (define @t176 () (and @t85 @t148 @t166 @t174)) % 0.37/0.59 (define @t177 () (not @t174)) % 0.37/0.59 (define @t178 () (not @t175)) % 0.37/0.59 (define @t179 () (= tptp.e10 @t29)) % 0.37/0.59 (define @t180 () (not @t179)) % 0.37/0.59 (define @t181 () (and @t179 @t175 @t174 @t4)) % 0.37/0.59 (define @t182 () (and @t85 @t161 @t166 @t175)) % 0.37/0.59 (define @t183 () (= tptp.e12 @t69)) % 0.37/0.59 (define @t184 () (= tptp.e11 @t7)) % 0.37/0.59 (define @t185 () (and @t85 @t184 @t166 @t172)) % 0.37/0.59 (define @t186 () (not @t184)) % 0.37/0.59 (define @t187 () (@list false false false false true)) % 0.37/0.59 (define @t188 () (@list true)) % 0.37/0.59 (define @t189 () (= tptp.e23 @t70)) % 0.37/0.59 (define @t190 () (= tptp.e23 @t61)) % 0.37/0.59 (define @t191 () (and @t183 @t189)) % 0.37/0.59 (define @t192 () (not @t190)) % 0.37/0.59 (define @t193 () (= tptp.e24 @t68)) % 0.37/0.59 (define @t194 () (not @t193)) % 0.37/0.59 (define @t195 () (= tptp.e12 @t67)) % 0.37/0.59 (define @t196 () (not @t195)) % 0.37/0.59 (define @t197 () (= tptp.e24 @t61)) % 0.37/0.59 (define @t198 () (and @t6 @t195 @t193)) % 0.37/0.59 (define @t199 () (not @t158)) % 0.37/0.59 (define @t200 () (and @t157 @t158 @t2)) % 0.37/0.59 (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)))) % 0.37/0.59 (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)) (not (= tptp.e22 tptp.e23)) (not (= tptp.e22 tptp.e24)) @t6)) % 0.37/0.59 (assume @p3 (and (not (= tptp.e10 tptp.e20)) (not (= tptp.e10 tptp.e21)) (not (= tptp.e10 tptp.e22)) (not (= tptp.e10 tptp.e23)) (not (= tptp.e10 tptp.e24)) (not (= tptp.e11 tptp.e20)) (not (= tptp.e11 tptp.e21)) (not (= tptp.e11 tptp.e22)) (not (= tptp.e11 tptp.e23)) (not (= tptp.e11 tptp.e24)) (not (= tptp.e12 tptp.e20)) (not (= tptp.e12 tptp.e21)) (not (= tptp.e12 tptp.e22)) (not (= tptp.e12 tptp.e23)) (not (= tptp.e12 tptp.e24)) (not (= tptp.e13 tptp.e20)) (not (= tptp.e13 tptp.e21)) (not (= tptp.e13 tptp.e22)) (not (= tptp.e13 tptp.e23)) (not (= tptp.e13 tptp.e24)) (not (= tptp.e14 tptp.e20)) (not (= tptp.e14 tptp.e21)) (not (= tptp.e14 tptp.e22)) (not (= tptp.e14 tptp.e23)) (not (= tptp.e14 tptp.e24)))) % 0.37/0.59 (assume @p4 (and (= @t31 tptp.e13) (= @t30 tptp.e12) (= @t29 tptp.e10) (= @t28 tptp.e11) (= @t27 tptp.e14) (= @t26 tptp.e10) (= @t25 tptp.e14) (= @t24 tptp.e11) (= @t23 tptp.e12) (= @t22 tptp.e13) (= @t21 tptp.e11) (= @t20 tptp.e13) (= @t19 tptp.e12) (= @t18 tptp.e14) (= @t17 tptp.e10) (= @t16 tptp.e14) (= @t15 tptp.e11) (= @t14 tptp.e13) (= @t13 tptp.e10) (= @t12 tptp.e12) (= @t11 tptp.e12) (= @t10 tptp.e10) (= @t9 tptp.e14) (= @t8 tptp.e13) (= @t7 tptp.e11))) % 0.37/0.59 (assume @p5 (and (= @t56 tptp.e20) (= @t55 tptp.e23) (= @t54 tptp.e24) (= @t53 tptp.e21) (= @t52 tptp.e22) (= @t51 tptp.e24) (= @t50 tptp.e21) (= @t49 tptp.e23) (= @t48 tptp.e22) (= @t47 tptp.e20) (= @t46 tptp.e21) (= @t45 tptp.e20) (= @t44 tptp.e22) (= @t43 tptp.e24) (= @t42 tptp.e23) (= @t41 tptp.e22) (= @t40 tptp.e24) (= @t39 tptp.e20) (= @t38 tptp.e23) (= @t37 tptp.e21) (= @t36 tptp.e23) (= @t35 tptp.e22) (= @t34 tptp.e21) (= @t33 tptp.e20) (= @t32 tptp.e24))) % 0.37/0.59 (assume @p6 @t143) % 0.37/0.59 (assume @p7 true) % 0.37/0.59 (step @p8 :rule and_elim :premises (@p1) :args (6)) % 0.37/0.59 (step @p9 :rule and_elim :premises (@p4) :args (24)) % 0.37/0.59 (step @p10 :rule symm :premises (@p9)) % 0.37/0.59 (step @p11 :rule and_elim :premises (@p5) :args (24)) % 0.37/0.59 (step @p12 :rule symm :premises (@p11)) % 0.37/0.59 (step @p13 :rule eq-symm :args (@t58 tptp.e14)) % 0.37/0.59 (step @p14 :rule eq-symm :args (@t60 tptp.e13)) % 0.37/0.59 (step @p15 :rule eq-symm :args (@t62 tptp.e12)) % 0.37/0.59 (step @p16 :rule eq-symm :args (@t64 tptp.e11)) % 0.37/0.59 (step @p17 :rule eq-symm :args (@t66 tptp.e10)) % 0.37/0.59 (step @p18 :rule eq-symm :args (@t68 tptp.e24)) % 0.37/0.59 (step @p19 :rule eq-symm :args (@t70 tptp.e23)) % 0.37/0.59 (step @p20 :rule eq-symm :args (@t72 tptp.e22)) % 0.37/0.59 (step @p21 :rule eq-symm :args (@t74 tptp.e21)) % 0.37/0.59 (step @p22 :rule eq-symm :args (@t76 tptp.e20)) % 0.37/0.59 (step @p23 :rule refl :args (@t78)) % 0.37/0.59 (step @p24 :rule refl :args (@t79)) % 0.37/0.59 (step @p25 :rule refl :args (@t80)) % 0.37/0.59 (step @p26 :rule refl :args (@t81)) % 0.37/0.59 (step @p27 :rule refl :args (@t82)) % 0.37/0.59 (step @p28 :rule refl :args (@t83)) % 0.37/0.59 (step @p29 :rule refl :args (@t85)) % 0.37/0.59 (step @p30 :rule refl :args (@t86)) % 0.37/0.59 (step @p31 :rule refl :args (@t87)) % 0.37/0.59 (step @p32 :rule refl :args (@t88)) % 0.37/0.59 (step @p33 :rule refl :args (@t89)) % 0.37/0.59 (step @p34 :rule refl :args (@t90)) % 0.37/0.59 (step @p35 :rule refl :args (@t91)) % 0.37/0.59 (step @p36 :rule refl :args (@t92)) % 0.37/0.59 (step @p37 :rule refl :args (@t93)) % 0.37/0.59 (step @p38 :rule refl :args (@t94)) % 0.37/0.59 (step @p39 :rule refl :args (@t95)) % 0.37/0.59 (step @p40 :rule refl :args (@t96)) % 0.37/0.59 (step @p41 :rule refl :args (@t97)) % 0.37/0.59 (step @p42 :rule refl :args (@t98)) % 0.37/0.59 (step @p43 :rule refl :args (@t99)) % 0.37/0.59 (step @p44 :rule refl :args (@t100)) % 0.37/0.59 (step @p45 :rule refl :args (@t101)) % 0.37/0.59 (step @p46 :rule refl :args (@t102)) % 0.37/0.59 (step @p47 :rule refl :args (@t103)) % 0.37/0.59 (step @p48 :rule refl :args (@t104)) % 0.37/0.59 (step @p49 :rule refl :args (@t105)) % 0.37/0.59 (step @p50 :rule refl :args (@t106)) % 0.37/0.59 (step @p51 :rule refl :args (@t107)) % 0.37/0.59 (step @p52 :rule refl :args (@t108)) % 0.37/0.59 (step @p53 :rule refl :args (@t109)) % 0.37/0.59 (step @p54 :rule refl :args (@t110)) % 0.37/0.59 (step @p55 :rule refl :args (@t111)) % 0.37/0.59 (step @p56 :rule refl :args (@t112)) % 0.37/0.59 (step @p57 :rule refl :args (@t113)) % 0.37/0.59 (step @p58 :rule refl :args (@t114)) % 0.37/0.59 (step @p59 :rule refl :args (@t115)) % 0.37/0.59 (step @p60 :rule refl :args (@t116)) % 0.37/0.59 (step @p61 :rule refl :args (@t117)) % 0.37/0.59 (step @p62 :rule refl :args (@t118)) % 0.37/0.59 (step @p63 :rule refl :args (@t119)) % 0.37/0.59 (step @p64 :rule refl :args (@t120)) % 0.37/0.59 (step @p65 :rule refl :args (@t121)) % 0.37/0.59 (step @p66 :rule refl :args (@t122)) % 0.37/0.59 (step @p67 :rule refl :args (@t123)) % 0.37/0.59 (step @p68 :rule refl :args (@t124)) % 0.37/0.59 (step @p69 :rule refl :args (@t125)) % 0.37/0.59 (step @p70 :rule refl :args (@t126)) % 0.37/0.59 (step @p71 :rule refl :args (@t127)) % 0.37/0.59 (step @p72 :rule refl :args (@t128)) % 0.37/0.59 (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 (@t129)) % 0.37/0.59 (step @p74 :rule cong :premises (@p73) :args (@t130)) % 0.37/0.59 (step @p75 :rule eq-symm :args (@t67 tptp.e14)) % 0.37/0.59 (step @p76 :rule eq-symm :args (@t67 tptp.e13)) % 0.37/0.59 (step @p77 :rule eq-symm :args (@t67 tptp.e12)) % 0.37/0.59 (step @p78 :rule eq-symm :args (@t67 tptp.e11)) % 0.37/0.59 (step @p79 :rule eq-symm :args (@t67 tptp.e10)) % 0.37/0.59 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77 @p76 @p75) :args (@t131)) % 0.37/0.59 (step @p81 :rule eq-symm :args (@t69 tptp.e14)) % 0.37/0.59 (step @p82 :rule eq-symm :args (@t69 tptp.e13)) % 0.37/0.59 (step @p83 :rule eq-symm :args (@t69 tptp.e12)) % 0.37/0.59 (step @p84 :rule eq-symm :args (@t69 tptp.e11)) % 0.37/0.59 (step @p85 :rule eq-symm :args (@t69 tptp.e10)) % 0.37/0.59 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83 @p82 @p81) :args (@t132)) % 0.37/0.59 (step @p87 :rule eq-symm :args (@t71 tptp.e14)) % 0.37/0.59 (step @p88 :rule eq-symm :args (@t71 tptp.e13)) % 0.37/0.59 (step @p89 :rule eq-symm :args (@t71 tptp.e12)) % 0.37/0.59 (step @p90 :rule eq-symm :args (@t71 tptp.e11)) % 0.37/0.59 (step @p91 :rule eq-symm :args (@t71 tptp.e10)) % 0.37/0.59 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88 @p87) :args (@t133)) % 0.37/0.59 (step @p93 :rule eq-symm :args (@t73 tptp.e14)) % 0.37/0.59 (step @p94 :rule eq-symm :args (@t73 tptp.e13)) % 0.37/0.59 (step @p95 :rule eq-symm :args (@t73 tptp.e12)) % 0.37/0.59 (step @p96 :rule eq-symm :args (@t73 tptp.e11)) % 0.37/0.59 (step @p97 :rule eq-symm :args (@t73 tptp.e10)) % 0.37/0.59 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95 @p94 @p93) :args (@t134)) % 0.37/0.59 (step @p99 :rule eq-symm :args (@t75 tptp.e14)) % 0.37/0.59 (step @p100 :rule eq-symm :args (@t75 tptp.e13)) % 0.37/0.59 (step @p101 :rule eq-symm :args (@t75 tptp.e12)) % 0.37/0.59 (step @p102 :rule eq-symm :args (@t75 tptp.e11)) % 0.37/0.59 (step @p103 :rule eq-symm :args (@t75 tptp.e10)) % 0.37/0.59 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101 @p100 @p99) :args (@t135)) % 0.37/0.59 (step @p105 :rule eq-symm :args (@t57 tptp.e24)) % 0.37/0.59 (step @p106 :rule eq-symm :args (@t57 tptp.e23)) % 0.37/0.59 (step @p107 :rule eq-symm :args (@t57 tptp.e22)) % 0.37/0.59 (step @p108 :rule eq-symm :args (@t57 tptp.e21)) % 0.37/0.59 (step @p109 :rule eq-symm :args (@t57 tptp.e20)) % 0.37/0.59 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p106 @p105) :args (@t136)) % 0.37/0.59 (step @p111 :rule eq-symm :args (@t59 tptp.e24)) % 0.37/0.59 (step @p112 :rule eq-symm :args (@t59 tptp.e23)) % 0.37/0.59 (step @p113 :rule eq-symm :args (@t59 tptp.e22)) % 0.37/0.59 (step @p114 :rule eq-symm :args (@t59 tptp.e21)) % 0.37/0.59 (step @p115 :rule eq-symm :args (@t59 tptp.e20)) % 0.37/0.59 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111) :args (@t137)) % 0.37/0.59 (step @p117 :rule eq-symm :args (@t61 tptp.e24)) % 0.37/0.59 (step @p118 :rule eq-symm :args (@t61 tptp.e23)) % 0.37/0.59 (step @p119 :rule eq-symm :args (@t61 tptp.e22)) % 0.37/0.59 (step @p120 :rule eq-symm :args (@t61 tptp.e21)) % 0.37/0.59 (step @p121 :rule eq-symm :args (@t61 tptp.e20)) % 0.37/0.59 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118 @p117) :args (@t138)) % 0.37/0.59 (step @p123 :rule eq-symm :args (@t63 tptp.e24)) % 0.37/0.59 (step @p124 :rule eq-symm :args (@t63 tptp.e23)) % 0.37/0.59 (step @p125 :rule eq-symm :args (@t63 tptp.e22)) % 0.37/0.59 (step @p126 :rule eq-symm :args (@t63 tptp.e21)) % 0.37/0.59 (step @p127 :rule eq-symm :args (@t63 tptp.e20)) % 0.37/0.59 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125 @p124 @p123) :args (@t139)) % 0.37/0.59 (step @p129 :rule eq-symm :args (@t65 tptp.e24)) % 0.37/0.59 (step @p130 :rule eq-symm :args (@t65 tptp.e23)) % 0.37/0.59 (step @p131 :rule eq-symm :args (@t65 tptp.e22)) % 0.37/0.59 (step @p132 :rule eq-symm :args (@t65 tptp.e21)) % 0.37/0.59 (step @p133 :rule eq-symm :args (@t65 tptp.e20)) % 0.37/0.59 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130 @p129) :args (@t140)) % 0.37/0.59 (step @p135 :rule nary_cong :premises (@p134 @p128 @p122 @p116 @p110 @p104 @p98 @p92 @p86 @p80) :args (@t141)) % 0.37/0.59 (step @p136 :rule cong :premises (@p135 @p74) :args (@t142)) % 0.37/0.59 (step @p137 :rule cong :premises (@p136) :args (@t143)) % 0.37/0.59 (step @p138 :rule eq_resolve :premises (@p6 @p137)) % 0.37/0.59 (step @p139 :rule not_implies_elim2 :premises (@p138)) % 0.37/0.59 (step @p140 :rule not_not_elim :premises (@p139)) % 0.37/0.59 (step @p141 :rule and_elim :premises (@p140) :args (49)) % 0.37/0.59 (step @p142 :rule and_elim :premises (@p4) :args (18)) % 0.37/0.59 (step @p143 :rule symm :premises (@p142)) % 0.37/0.59 (step @p144 :rule and_elim :premises (@p1) :args (2)) % 0.37/0.59 (step @p145 :rule refl :args (@t145)) % 0.37/0.59 (step @p146 :rule refl :args (@t147)) % 0.37/0.59 (step @p147 :rule refl :args (@t149)) % 0.37/0.59 (step @p148 :rule refl :args (@t150)) % 0.37/0.59 (step @p149 :rule bool-double-not-elim :args (@t3)) % 0.37/0.59 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p146 @p145) :args ((or @t151 @t150 @t149 @t147 @t145))) % 0.37/0.59 (assume-push @p554 @t144) % 0.37/0.59 (assume-push @p555 @t152) % 0.37/0.59 (assume-push @p556 @t4) % 0.37/0.59 (step @p154 :rule evaluate :args (@t153)) % 0.37/0.59 (step @p155 :rule symm :premises (@p554)) % 0.37/0.59 (step @p156 :rule trans :premises (@p555 @p155)) % 0.37/0.59 (step @p157 :rule true_intro :premises (@p156)) % 0.37/0.59 (step @p158 :rule false_intro :premises (@p144)) % 0.37/0.59 (step @p159 :rule symm :premises (@p158)) % 0.37/0.59 (step @p160 :rule trans :premises (@p159 @p157)) % 0.37/0.59 (step @p161 false :rule eq_resolve :premises (@p160 @p154)) % 0.37/0.59 (step-pop @p557 :rule scope :premises (@p161)) % 0.37/0.59 (step-pop @p558 :rule scope :premises (@p557)) % 0.37/0.59 (step-pop @p559 :rule scope :premises (@p558)) % 0.37/0.59 (step @p162 :rule process_scope :premises (@p559) :args (false)) % 0.37/0.59 (assume-push @p560 @t4) % 0.37/0.59 (assume-push @p561 @t78) % 0.37/0.59 (assume-push @p562 @t148) % 0.37/0.59 (assume-push @p563 @t146) % 0.37/0.59 (assume-push @p564 @t144) % 0.37/0.59 (assume-push @p565 @t146) % 0.37/0.59 (assume-push @p566 @t78) % 0.37/0.59 (assume-push @p567 @t144) % 0.37/0.59 (assume-push @p568 @t148) % 0.37/0.59 (step @p175 :rule cong :premises (@p11) :args (@t77)) % 0.37/0.59 (step @p176 :rule symm :premises (@p141)) % 0.37/0.59 (step @p177 :rule cong :premises (@p564 @p564) :args (@t13)) % 0.37/0.59 (step @p178 :rule trans :premises (@p143 @p177 @p176 @p175)) % 0.37/0.59 (step-pop @p569 :rule scope :premises (@p178)) % 0.37/0.59 (step-pop @p570 :rule scope :premises (@p569)) % 0.37/0.59 (step-pop @p571 :rule scope :premises (@p570)) % 0.37/0.59 (step-pop @p572 :rule scope :premises (@p571)) % 0.37/0.59 (step @p179 :rule process_scope :premises (@p572) :args (@t152)) % 0.37/0.59 (step @p184 :rule and_intro :premises (@p12 @p141 @p564 @p143)) % 0.37/0.59 (step @p185 :rule modus_ponens :premises (@p184 @p179)) % 0.37/0.59 (step @p186 :rule and_intro :premises (@p564 @p185 @p144)) % 0.37/0.59 (step-pop @p573 :rule scope :premises (@p186)) % 0.37/0.59 (step-pop @p574 :rule scope :premises (@p573)) % 0.37/0.59 (step-pop @p575 :rule scope :premises (@p574)) % 0.37/0.59 (step-pop @p576 :rule scope :premises (@p575)) % 0.37/0.59 (step-pop @p577 :rule scope :premises (@p576)) % 0.37/0.59 (step @p187 :rule process_scope :premises (@p577) :args (@t154)) % 0.37/0.59 (step @p193 :rule implies_elim :premises (@p187)) % 0.37/0.59 (step @p194 :rule resolution :premises (@p193 @p162) :args (true @t154)) % 0.37/0.59 (step @p195 :rule not_and :premises (@p194)) % 0.37/0.59 (step @p196 :rule eq_resolve :premises (@p195 @p150)) % 0.37/0.59 (step @p197 :rule reordering :premises (@p196) :args ((or @t3 @t149 @t147 @t145 @t150))) % 0.37/0.59 (step @p198 :rule chain_m_resolution :premises (@p197 @p144 @p143 @p12 @p141) :args (@t145 @t155 (@list @t3 @t148 @t146 @t78))) % 0.37/0.59 (step @p199 :rule and_elim :premises (@p4) :args (6)) % 0.37/0.59 (step @p200 :rule symm :premises (@p199)) % 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:rule cong :premises (@p448) :args (@t70)) % 0.37/0.60 (step @p450 :rule trans :premises (@p257 @p449)) % 0.37/0.60 (step-pop @p706 :rule scope :premises (@p450)) % 0.37/0.60 (step-pop @p707 :rule scope :premises (@p706)) % 0.37/0.60 (step @p451 :rule process_scope :premises (@p707) :args (@t190)) % 0.37/0.60 (step @p454 :rule and_intro :premises (@p702 @p257)) % 0.37/0.60 (step @p455 :rule modus_ponens :premises (@p454 @p451)) % 0.37/0.60 (step-pop @p708 :rule scope :premises (@p455)) % 0.37/0.60 (step-pop @p709 :rule scope :premises (@p708)) % 0.37/0.60 (step @p456 :rule process_scope :premises (@p709) :args (@t190)) % 0.37/0.60 (step @p459 :rule implies_elim :premises (@p456)) % 0.37/0.60 (step @p460 :rule cnf_and_neg :args (@t191)) % 0.37/0.60 (step @p461 :rule resolution :premises (@p460 @p459) :args (true @t191)) % 0.37/0.60 (step @p462 :rule reordering :premises (@p461) :args ((or @t190 (not @t183) (not @t189)))) % 0.37/0.60 (step @p463 :rule chain_m_resolution :premises (@p462 @p443 @p257) :args (@t190 (@list false false) (@list @t183 @t189))) % 0.37/0.60 (step @p464 :rule refl :args (@t192)) % 0.37/0.60 (step @p465 :rule refl :args (@t194)) % 0.37/0.60 (step @p466 :rule refl :args (@t196)) % 0.37/0.60 (step @p467 :rule bool-double-not-elim :args (@t5)) % 0.37/0.60 (step @p468 :rule nary_cong :premises (@p467 @p466 @p465 @p464) :args ((or (not @t6) @t196 @t194 @t192))) % 0.37/0.60 (assume-push @p710 @t6) % 0.37/0.60 (assume-push @p711 @t195) % 0.37/0.60 (assume-push @p712 @t193) % 0.37/0.60 (assume-push @p713 @t6) % 0.37/0.60 (assume-push @p714 @t197) % 0.37/0.60 (step @p474 :rule false_intro :premises (@p255)) % 0.37/0.60 (step @p475 :rule symm :premises (@p714)) % 0.37/0.60 (step @p476 :rule refl :args (tptp.e23)) % 0.37/0.60 (step @p477 :rule cong :premises (@p476 @p475) :args (@t190)) % 0.37/0.60 (step @p478 :rule trans :premises (@p477 @p474)) % 0.37/0.60 (step @p479 :rule false_elim :premises (@p478)) % 0.37/0.60 (step-pop @p715 :rule scope :premises (@p479)) % 0.37/0.60 (step-pop @p716 :rule scope :premises (@p715)) % 0.37/0.60 (step @p480 :rule process_scope :premises (@p716) :args (@t192)) % 0.37/0.60 (assume-push @p717 @t195) % 0.37/0.60 (assume-push @p718 @t193) % 0.37/0.60 (step @p485 :rule symm :premises (@p711)) % 0.37/0.60 (step @p486 :rule cong :premises (@p485) :args (@t68)) % 0.37/0.60 (step @p487 :rule trans :premises (@p256 @p486)) % 0.37/0.60 (step-pop @p719 :rule scope :premises (@p487)) % 0.37/0.60 (step-pop @p720 :rule scope :premises (@p719)) % 0.37/0.60 (step @p488 :rule process_scope :premises (@p720) :args (@t197)) % 0.37/0.60 (step @p491 :rule and_intro :premises (@p711 @p256)) % 0.37/0.60 (step @p492 :rule modus_ponens :premises (@p491 @p488)) % 0.37/0.60 (step @p493 :rule and_intro :premises (@p255 @p492)) % 0.37/0.60 (step @p494 :rule modus_ponens :premises (@p493 @p480)) % 0.37/0.60 (step-pop @p721 :rule scope :premises (@p494)) % 0.37/0.60 (step-pop @p722 :rule scope :premises (@p721)) % 0.37/0.60 (step-pop @p723 :rule scope :premises (@p722)) % 0.37/0.60 (step @p495 :rule process_scope :premises (@p723) :args (@t192)) % 0.37/0.60 (step @p499 :rule implies_elim :premises (@p495)) % 0.37/0.60 (step @p500 :rule cnf_and_neg :args (@t198)) % 0.37/0.60 (step @p501 :rule resolution :premises (@p500 @p499) :args (true @t198)) % 0.37/0.60 (step @p502 :rule eq_resolve :premises (@p501 @p468)) % 0.37/0.60 (step @p503 :rule reordering :premises (@p502) :args ((or @t5 @t192 @t196 @t194))) % 0.37/0.60 (step @p504 :rule chain_m_resolution :premises (@p503 @p463 @p256 @p255) :args (@t196 (@list false false true) (@list @t190 @t193 @t5))) % 0.37/0.60 (step @p505 :rule and_elim :premises (@p413) :args (9)) % 0.37/0.60 (step @p506 :rule chain_m_resolution :premises (@p505 @p504 @p254 @p141 @p12 @p228 @p226 @p200 @p12 @p141) :args ((or @t144 @t158) (@list true true false false false true false false false) (@list @t195 @t152 @t78 @t146 @t161 @t157 @t156 @t146 @t78))) % 0.37/0.60 (step @p507 :rule chain_m_resolution :premises (@p506 @p198) :args (@t158 @t188 (@list @t144))) % 0.37/0.60 (step @p508 :rule refl :args (@t199)) % 0.37/0.60 (step @p509 :rule refl :args (@t186)) % 0.37/0.60 (step @p510 :rule nary_cong :premises (@p268 @p148 @p509 @p146 @p508) :args ((or @t171 @t150 @t186 @t147 @t199))) % 0.37/0.60 (assume-push @p724 @t157) % 0.37/0.60 (assume-push @p725 @t158) % 0.37/0.60 (assume-push @p726 @t2) % 0.37/0.60 (step @p154 :rule evaluate :args (@t153)) % 0.37/0.60 (step @p514 :rule symm :premises (@p725)) % 0.37/0.60 (step @p515 :rule trans :premises (@p724 @p514)) % 0.37/0.60 (step @p516 :rule true_intro :premises (@p515)) % 0.37/0.60 (step @p279 :rule false_intro :premises (@p8)) % 0.37/0.60 (step @p280 :rule symm :premises (@p279)) % 0.37/0.60 (step @p517 :rule trans :premises (@p280 @p516)) % 0.37/0.60 (step @p518 false :rule eq_resolve :premises (@p517 @p154)) % 0.37/0.60 (step-pop @p727 :rule scope :premises (@p518)) % 0.37/0.60 (step-pop @p728 :rule scope :premises (@p727)) % 0.37/0.60 (step-pop @p729 :rule scope :premises (@p728)) % 0.37/0.60 (step @p519 :rule process_scope :premises (@p729) :args (false)) % 0.37/0.60 (assume-push @p730 @t2) % 0.37/0.60 (assume-push @p731 @t78) % 0.37/0.60 (assume-push @p732 @t184) % 0.37/0.60 (assume-push @p733 @t146) % 0.37/0.60 (assume-push @p734 @t158) % 0.37/0.60 (assume-push @p735 @t146) % 0.37/0.60 (assume-push @p736 @t78) % 0.37/0.60 (assume-push @p737 @t158) % 0.37/0.60 (assume-push @p738 @t184) % 0.37/0.60 (step @p175 :rule cong :premises (@p11) :args (@t77)) % 0.37/0.60 (step @p176 :rule symm :premises (@p141)) % 0.37/0.60 (step @p532 :rule cong :premises (@p734 @p734) :args (@t7)) % 0.37/0.60 (step @p533 :rule trans :premises (@p10 @p532 @p176 @p175)) % 0.37/0.60 (step-pop @p739 :rule scope :premises (@p533)) % 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-pop @p742 :rule scope :premises (@p741)) % 0.37/0.60 (step @p534 :rule process_scope :premises (@p742) :args (@t157)) % 0.37/0.60 (step @p539 :rule and_intro :premises (@p12 @p141 @p734 @p10)) % 0.37/0.60 (step @p540 :rule modus_ponens :premises (@p539 @p534)) % 0.37/0.60 (step @p541 :rule and_intro :premises (@p540 @p734 @p8)) % 0.37/0.60 (step-pop @p743 :rule scope :premises (@p541)) % 0.37/0.60 (step-pop @p744 :rule scope :premises (@p743)) % 0.37/0.60 (step-pop @p745 :rule scope :premises (@p744)) % 0.37/0.60 (step-pop @p746 :rule scope :premises (@p745)) % 0.37/0.60 (step-pop @p747 :rule scope :premises (@p746)) % 0.37/0.60 (step @p542 :rule process_scope :premises (@p747) :args (@t200)) % 0.37/0.60 (step @p548 :rule implies_elim :premises (@p542)) % 0.37/0.60 (step @p549 :rule resolution :premises (@p548 @p519) :args (true @t200)) % 0.37/0.60 (step @p550 :rule not_and :premises (@p549)) % 0.37/0.60 (step @p551 :rule eq_resolve :premises (@p550 @p510)) % 0.37/0.60 (step @p552 :rule reordering :premises (@p551) :args ((or @t1 @t186 @t147 @t199 @t150))) % 0.37/0.60 (step @p553 false :rule chain_m_resolution :premises (@p552 @p507 @p141 @p12 @p10 @p8) :args (false @t187 (@list @t158 @t78 @t146 @t184 @t1))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------