%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG080+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:05:10 AM UTC 2026 % Result : Theorem 0.14s 0.39s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ALG080+1 : TPTP v9.2.1. Released v2.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Wed Jun 3 01:39:03 EDT 2026 % 0.08/0.25 % CPUTime : % 0.14/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.39 % SZS status Theorem % 0.14/0.39 % SZS output start Proof % 0.14/0.39 ( % 0.14/0.39 (declare-sort $$unsorted 0) % 0.14/0.39 (declare-const tptp.e13 $$unsorted) % 0.14/0.39 (declare-const tptp.e12 $$unsorted) % 0.14/0.39 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.e11 $$unsorted) % 0.14/0.39 (declare-const tptp.e10 $$unsorted) % 0.14/0.39 (declare-const tptp.e24 $$unsorted) % 0.14/0.39 (declare-const tptp.e23 $$unsorted) % 0.14/0.39 (declare-const tptp.e22 $$unsorted) % 0.14/0.39 (declare-const tptp.e21 $$unsorted) % 0.14/0.39 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.e14 $$unsorted) % 0.14/0.39 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.e20 $$unsorted) % 0.14/0.39 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.14/0.39 (define @t1 () (= tptp.e10 tptp.e14)) % 0.14/0.39 (define @t2 () (not @t1)) % 0.14/0.39 (define @t3 () (= tptp.e23 tptp.e24)) % 0.14/0.39 (define @t4 () (not @t3)) % 0.14/0.39 (define @t5 () (= tptp.e20 tptp.e24)) % 0.14/0.39 (define @t6 () (not @t5)) % 0.14/0.39 (define @t7 () (= tptp.e20 tptp.e23)) % 0.14/0.39 (define @t8 () (not @t7)) % 0.14/0.39 (define @t9 () (tptp.op1 tptp.e14 tptp.e14)) % 0.14/0.39 (define @t10 () (tptp.op1 tptp.e14 tptp.e13)) % 0.14/0.39 (define @t11 () (tptp.op1 tptp.e14 tptp.e12)) % 0.14/0.39 (define @t12 () (tptp.op1 tptp.e14 tptp.e11)) % 0.14/0.39 (define @t13 () (tptp.op1 tptp.e14 tptp.e10)) % 0.14/0.39 (define @t14 () (tptp.op1 tptp.e13 tptp.e14)) % 0.14/0.39 (define @t15 () (tptp.op1 tptp.e13 tptp.e13)) % 0.14/0.39 (define @t16 () (tptp.op1 tptp.e13 tptp.e12)) % 0.14/0.39 (define @t17 () (tptp.op1 tptp.e13 tptp.e11)) % 0.14/0.39 (define @t18 () (tptp.op1 tptp.e13 tptp.e10)) % 0.14/0.39 (define @t19 () (tptp.op1 tptp.e12 tptp.e14)) % 0.14/0.39 (define @t20 () (tptp.op1 tptp.e12 tptp.e13)) % 0.14/0.39 (define @t21 () (tptp.op1 tptp.e12 tptp.e12)) % 0.14/0.39 (define @t22 () (tptp.op1 tptp.e12 tptp.e11)) % 0.14/0.39 (define @t23 () (tptp.op1 tptp.e12 tptp.e10)) % 0.14/0.39 (define @t24 () (tptp.op1 tptp.e11 tptp.e14)) % 0.14/0.39 (define @t25 () (tptp.op1 tptp.e11 tptp.e13)) % 0.14/0.39 (define @t26 () (tptp.op1 tptp.e11 tptp.e12)) % 0.14/0.39 (define @t27 () (tptp.op1 tptp.e11 tptp.e11)) % 0.14/0.39 (define @t28 () (tptp.op1 tptp.e11 tptp.e10)) % 0.14/0.39 (define @t29 () (tptp.op1 tptp.e10 tptp.e14)) % 0.14/0.39 (define @t30 () (tptp.op1 tptp.e10 tptp.e13)) % 0.14/0.39 (define @t31 () (tptp.op1 tptp.e10 tptp.e12)) % 0.14/0.39 (define @t32 () (tptp.op1 tptp.e10 tptp.e11)) % 0.14/0.39 (define @t33 () (tptp.op1 tptp.e10 tptp.e10)) % 0.14/0.39 (define @t34 () (tptp.op2 tptp.e24 tptp.e24)) % 0.14/0.39 (define @t35 () (tptp.op2 tptp.e24 tptp.e23)) % 0.14/0.39 (define @t36 () (tptp.op2 tptp.e24 tptp.e22)) % 0.14/0.39 (define @t37 () (tptp.op2 tptp.e24 tptp.e21)) % 0.14/0.39 (define @t38 () (tptp.op2 tptp.e24 tptp.e20)) % 0.14/0.39 (define @t39 () (tptp.op2 tptp.e23 tptp.e24)) % 0.14/0.39 (define @t40 () (tptp.op2 tptp.e23 tptp.e23)) % 0.14/0.39 (define @t41 () (tptp.op2 tptp.e23 tptp.e22)) % 0.14/0.39 (define @t42 () (tptp.op2 tptp.e23 tptp.e21)) % 0.14/0.39 (define @t43 () (tptp.op2 tptp.e23 tptp.e20)) % 0.14/0.39 (define @t44 () (tptp.op2 tptp.e22 tptp.e24)) % 0.14/0.39 (define @t45 () (tptp.op2 tptp.e22 tptp.e23)) % 0.14/0.39 (define @t46 () (tptp.op2 tptp.e22 tptp.e22)) % 0.14/0.39 (define @t47 () (tptp.op2 tptp.e22 tptp.e21)) % 0.14/0.39 (define @t48 () (tptp.op2 tptp.e22 tptp.e20)) % 0.14/0.39 (define @t49 () (tptp.op2 tptp.e21 tptp.e24)) % 0.14/0.39 (define @t50 () (tptp.op2 tptp.e21 tptp.e23)) % 0.14/0.39 (define @t51 () (tptp.op2 tptp.e21 tptp.e22)) % 0.14/0.39 (define @t52 () (tptp.op2 tptp.e21 tptp.e21)) % 0.14/0.39 (define @t53 () (tptp.op2 tptp.e21 tptp.e20)) % 0.14/0.39 (define @t54 () (tptp.op2 tptp.e20 tptp.e24)) % 0.14/0.39 (define @t55 () (tptp.op2 tptp.e20 tptp.e23)) % 0.14/0.39 (define @t56 () (tptp.op2 tptp.e20 tptp.e22)) % 0.14/0.39 (define @t57 () (tptp.op2 tptp.e20 tptp.e21)) % 0.14/0.39 (define @t58 () (tptp.op2 tptp.e20 tptp.e20)) % 0.14/0.39 (define @t59 () (tptp.h tptp.e14)) % 0.14/0.39 (define @t60 () (tptp.j @t59)) % 0.14/0.39 (define @t61 () (tptp.h tptp.e13)) % 0.14/0.39 (define @t62 () (tptp.j @t61)) % 0.14/0.39 (define @t63 () (tptp.h tptp.e12)) % 0.14/0.39 (define @t64 () (tptp.j @t63)) % 0.14/0.39 (define @t65 () (tptp.h tptp.e11)) % 0.14/0.39 (define @t66 () (tptp.j @t65)) % 0.14/0.39 (define @t67 () (tptp.h tptp.e10)) % 0.14/0.39 (define @t68 () (tptp.j @t67)) % 0.14/0.39 (define @t69 () (tptp.j tptp.e24)) % 0.14/0.39 (define @t70 () (tptp.h @t69)) % 0.14/0.39 (define @t71 () (tptp.j tptp.e23)) % 0.14/0.39 (define @t72 () (tptp.h @t71)) % 0.14/0.39 (define @t73 () (tptp.j tptp.e22)) % 0.14/0.39 (define @t74 () (tptp.h @t73)) % 0.14/0.39 (define @t75 () (tptp.j tptp.e21)) % 0.14/0.39 (define @t76 () (tptp.h @t75)) % 0.14/0.39 (define @t77 () (tptp.j tptp.e20)) % 0.14/0.39 (define @t78 () (tptp.h @t77)) % 0.14/0.39 (define @t79 () (tptp.j @t34)) % 0.14/0.39 (define @t80 () (= @t79 (tptp.op1 @t69 @t69))) % 0.14/0.39 (define @t81 () (tptp.op1 @t69 @t71)) % 0.14/0.39 (define @t82 () (= (tptp.j @t35) @t81)) % 0.14/0.39 (define @t83 () (= (tptp.j @t36) (tptp.op1 @t69 @t73))) % 0.14/0.39 (define @t84 () (= (tptp.j @t37) (tptp.op1 @t69 @t75))) % 0.14/0.39 (define @t85 () (tptp.j @t38)) % 0.14/0.39 (define @t86 () (= @t85 (tptp.op1 @t69 @t77))) % 0.14/0.39 (define @t87 () (= (tptp.j @t39) (tptp.op1 @t71 @t69))) % 0.14/0.39 (define @t88 () (= (tptp.j @t40) (tptp.op1 @t71 @t71))) % 0.14/0.39 (define @t89 () (tptp.op1 @t71 @t73)) % 0.14/0.39 (define @t90 () (= (tptp.j @t41) @t89)) % 0.14/0.39 (define @t91 () (= (tptp.j @t42) (tptp.op1 @t71 @t75))) % 0.14/0.39 (define @t92 () (= (tptp.j @t43) (tptp.op1 @t71 @t77))) % 0.14/0.39 (define @t93 () (= (tptp.j @t44) (tptp.op1 @t73 @t69))) % 0.14/0.39 (define @t94 () (= (tptp.j @t45) (tptp.op1 @t73 @t71))) % 0.14/0.39 (define @t95 () (= (tptp.j @t46) (tptp.op1 @t73 @t73))) % 0.14/0.39 (define @t96 () (= (tptp.j @t47) (tptp.op1 @t73 @t75))) % 0.14/0.39 (define @t97 () (= (tptp.j @t48) (tptp.op1 @t73 @t77))) % 0.14/0.39 (define @t98 () (= (tptp.j @t49) (tptp.op1 @t75 @t69))) % 0.14/0.39 (define @t99 () (= (tptp.j @t50) (tptp.op1 @t75 @t71))) % 0.14/0.39 (define @t100 () (= (tptp.j @t51) (tptp.op1 @t75 @t73))) % 0.14/0.39 (define @t101 () (= (tptp.j @t52) (tptp.op1 @t75 @t75))) % 0.14/0.39 (define @t102 () (= (tptp.j @t53) (tptp.op1 @t75 @t77))) % 0.14/0.39 (define @t103 () (= (tptp.j @t54) (tptp.op1 @t77 @t69))) % 0.14/0.39 (define @t104 () (= (tptp.j @t55) (tptp.op1 @t77 @t71))) % 0.14/0.39 (define @t105 () (= (tptp.j @t56) (tptp.op1 @t77 @t73))) % 0.14/0.39 (define @t106 () (= (tptp.j @t57) (tptp.op1 @t77 @t75))) % 0.14/0.39 (define @t107 () (= (tptp.j @t58) (tptp.op1 @t77 @t77))) % 0.14/0.39 (define @t108 () (= (tptp.h @t9) (tptp.op2 @t59 @t59))) % 0.14/0.39 (define @t109 () (= (tptp.h @t10) (tptp.op2 @t59 @t61))) % 0.14/0.39 (define @t110 () (= (tptp.h @t11) (tptp.op2 @t59 @t63))) % 0.14/0.39 (define @t111 () (= (tptp.h @t12) (tptp.op2 @t59 @t65))) % 0.14/0.39 (define @t112 () (= (tptp.h @t13) (tptp.op2 @t59 @t67))) % 0.14/0.39 (define @t113 () (= (tptp.h @t14) (tptp.op2 @t61 @t59))) % 0.14/0.39 (define @t114 () (= (tptp.h @t15) (tptp.op2 @t61 @t61))) % 0.14/0.39 (define @t115 () (= (tptp.h @t16) (tptp.op2 @t61 @t63))) % 0.14/0.39 (define @t116 () (= (tptp.h @t17) (tptp.op2 @t61 @t65))) % 0.14/0.39 (define @t117 () (= (tptp.h @t18) (tptp.op2 @t61 @t67))) % 0.14/0.39 (define @t118 () (= (tptp.h @t19) (tptp.op2 @t63 @t59))) % 0.14/0.39 (define @t119 () (= (tptp.h @t20) (tptp.op2 @t63 @t61))) % 0.14/0.39 (define @t120 () (= (tptp.h @t21) (tptp.op2 @t63 @t63))) % 0.14/0.39 (define @t121 () (= (tptp.h @t22) (tptp.op2 @t63 @t65))) % 0.14/0.39 (define @t122 () (= (tptp.h @t23) (tptp.op2 @t63 @t67))) % 0.14/0.39 (define @t123 () (= (tptp.h @t24) (tptp.op2 @t65 @t59))) % 0.14/0.39 (define @t124 () (= (tptp.h @t25) (tptp.op2 @t65 @t61))) % 0.14/0.39 (define @t125 () (= (tptp.h @t26) (tptp.op2 @t65 @t63))) % 0.14/0.39 (define @t126 () (tptp.h @t27)) % 0.14/0.39 (define @t127 () (= @t126 (tptp.op2 @t65 @t65))) % 0.14/0.39 (define @t128 () (= (tptp.h @t28) (tptp.op2 @t65 @t67))) % 0.14/0.39 (define @t129 () (= (tptp.h @t29) (tptp.op2 @t67 @t59))) % 0.14/0.39 (define @t130 () (= (tptp.h @t30) (tptp.op2 @t67 @t61))) % 0.14/0.39 (define @t131 () (= (tptp.h @t31) (tptp.op2 @t67 @t63))) % 0.14/0.39 (define @t132 () (= (tptp.h @t32) (tptp.op2 @t67 @t65))) % 0.14/0.39 (define @t133 () (tptp.h @t33)) % 0.14/0.39 (define @t134 () (= @t133 (tptp.op2 @t67 @t67))) % 0.14/0.39 (define @t135 () (and @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t88 @t87 @t86 @t84 @t83 @t82 @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))) % 0.14/0.39 (define @t136 () (not @t135)) % 0.14/0.39 (define @t137 () (or (= @t69 tptp.e10) (= @t69 tptp.e11) (= @t69 tptp.e12) (= @t69 tptp.e13) (= @t69 tptp.e14))) % 0.14/0.39 (define @t138 () (or (= @t71 tptp.e10) (= @t71 tptp.e11) (= @t71 tptp.e12) (= @t71 tptp.e13) (= @t71 tptp.e14))) % 0.14/0.39 (define @t139 () (or (= @t73 tptp.e10) (= @t73 tptp.e11) (= @t73 tptp.e12) (= @t73 tptp.e13) (= @t73 tptp.e14))) % 0.14/0.39 (define @t140 () (or (= @t75 tptp.e10) (= @t75 tptp.e11) (= @t75 tptp.e12) (= @t75 tptp.e13) (= @t75 tptp.e14))) % 0.14/0.39 (define @t141 () (or (= @t77 tptp.e10) (= @t77 tptp.e11) (= @t77 tptp.e12) (= @t77 tptp.e13) (= @t77 tptp.e14))) % 0.14/0.39 (define @t142 () (or (= @t59 tptp.e20) (= @t59 tptp.e21) (= @t59 tptp.e22) (= @t59 tptp.e23) (= @t59 tptp.e24))) % 0.14/0.39 (define @t143 () (or (= @t61 tptp.e20) (= @t61 tptp.e21) (= @t61 tptp.e22) (= @t61 tptp.e23) (= @t61 tptp.e24))) % 0.14/0.39 (define @t144 () (or (= @t63 tptp.e20) (= @t63 tptp.e21) (= @t63 tptp.e22) (= @t63 tptp.e23) (= @t63 tptp.e24))) % 0.14/0.39 (define @t145 () (or (= @t65 tptp.e20) (= @t65 tptp.e21) (= @t65 tptp.e22) (= @t65 tptp.e23) (= @t65 tptp.e24))) % 0.14/0.39 (define @t146 () (or (= @t67 tptp.e20) (= @t67 tptp.e21) (= @t67 tptp.e22) (= @t67 tptp.e23) (= @t67 tptp.e24))) % 0.14/0.39 (define @t147 () (and @t146 @t145 @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t137)) % 0.14/0.39 (define @t148 () (=> @t147 @t136)) % 0.14/0.39 (define @t149 () (not @t148)) % 0.14/0.39 (define @t150 () (= tptp.e10 @t33)) % 0.14/0.39 (define @t151 () (= tptp.e20 @t34)) % 0.14/0.39 (define @t152 () (= tptp.e10 @t69)) % 0.14/0.39 (define @t153 () (= tptp.e24 @t70)) % 0.14/0.39 (define @t154 () (= tptp.e20 @t67)) % 0.14/0.39 (define @t155 () (and @t134 @t150 @t151 @t152 @t153)) % 0.14/0.39 (define @t156 () (not @t153)) % 0.14/0.39 (define @t157 () (not @t152)) % 0.14/0.39 (define @t158 () (not @t151)) % 0.14/0.39 (define @t159 () (= tptp.e10 @t27)) % 0.14/0.39 (define @t160 () (= tptp.e11 @t69)) % 0.14/0.39 (define @t161 () (and @t127 @t159 @t151 @t160 @t153)) % 0.14/0.39 (define @t162 () (not @t160)) % 0.14/0.39 (define @t163 () (= tptp.e10 @t20)) % 0.14/0.39 (define @t164 () (= tptp.e13 @t21)) % 0.14/0.39 (define @t165 () (= tptp.e24 @t38)) % 0.14/0.39 (define @t166 () (= tptp.e12 @t69)) % 0.14/0.39 (define @t167 () (and @t86 @t80 @t163 @t164 @t151 @t165 @t166)) % 0.14/0.39 (define @t168 () (not @t80)) % 0.14/0.39 (define @t169 () (not @t86)) % 0.14/0.39 (define @t170 () (not @t166)) % 0.14/0.39 (define @t171 () (not @t165)) % 0.14/0.39 (define @t172 () (= tptp.e10 @t14)) % 0.14/0.39 (define @t173 () (= tptp.e14 @t15)) % 0.14/0.39 (define @t174 () (= tptp.e13 @t69)) % 0.14/0.39 (define @t175 () (and @t86 @t80 @t172 @t173 @t151 @t165 @t174)) % 0.14/0.39 (define @t176 () (not @t174)) % 0.14/0.39 (define @t177 () (= tptp.e12 @t9)) % 0.14/0.39 (define @t178 () (= tptp.e10 @t11)) % 0.14/0.39 (define @t179 () (= tptp.e14 @t69)) % 0.14/0.39 (define @t180 () (and @t86 @t80 @t177 @t178 @t151 @t165 @t179)) % 0.14/0.39 (define @t181 () (not @t179)) % 0.14/0.39 (define @t182 () (= tptp.e10 @t68)) % 0.14/0.39 (define @t183 () (not @t182)) % 0.14/0.39 (define @t184 () (= tptp.e20 @t78)) % 0.14/0.39 (define @t185 () (not @t184)) % 0.14/0.39 (define @t186 () (not @t154)) % 0.14/0.39 (define @t187 () (= tptp.e20 @t58)) % 0.14/0.39 (define @t188 () (not @t187)) % 0.14/0.39 (define @t189 () (= tptp.e24 @t67)) % 0.14/0.39 (define @t190 () (= false true)) % 0.14/0.40 (define @t191 () (and @t187 @t154 @t189 @t6)) % 0.14/0.40 (define @t192 () (@list true false false false false false)) % 0.14/0.40 (define @t193 () (and @t2 @t179)) % 0.14/0.40 (define @t194 () (@list true false false false false false false)) % 0.14/0.40 (define @t195 () (@list true true true true)) % 0.14/0.40 (define @t196 () (= tptp.e11 @t16)) % 0.14/0.40 (define @t197 () (= tptp.e12 @t25)) % 0.14/0.40 (define @t198 () (= tptp.e22 @t35)) % 0.14/0.40 (define @t199 () (= tptp.e20 @t41)) % 0.14/0.40 (define @t200 () (= tptp.e13 @t71)) % 0.14/0.40 (define @t201 () (and @t90 @t82 @t196 @t197 @t198 @t199 @t154 @t200 @t160 @t182)) % 0.14/0.40 (define @t202 () (not @t82)) % 0.14/0.40 (define @t203 () (not @t90)) % 0.14/0.40 (define @t204 () (not @t200)) % 0.14/0.40 (define @t205 () (not @t198)) % 0.14/0.40 (define @t206 () (not @t199)) % 0.14/0.40 (define @t207 () (= tptp.e11 @t19)) % 0.14/0.40 (define @t208 () (= tptp.e14 @t26)) % 0.14/0.40 (define @t209 () (= tptp.e12 @t71)) % 0.14/0.40 (define @t210 () (and @t90 @t82 @t207 @t208 @t198 @t199 @t154 @t209 @t160 @t182)) % 0.14/0.40 (define @t211 () (not @t209)) % 0.14/0.40 (define @t212 () (= tptp.e23 @t65)) % 0.14/0.40 (define @t213 () (not @t212)) % 0.14/0.40 (define @t214 () (= tptp.e24 @t65)) % 0.14/0.40 (define @t215 () (and @t4 @t160 @t153)) % 0.14/0.40 (define @t216 () (@list true false false)) % 0.14/0.40 (define @t217 () (= tptp.e11 @t71)) % 0.14/0.40 (define @t218 () (= tptp.e23 @t72)) % 0.14/0.40 (define @t219 () (and @t217 @t160 @t218)) % 0.14/0.40 (define @t220 () (not @t218)) % 0.14/0.40 (define @t221 () (not @t217)) % 0.14/0.40 (define @t222 () (= tptp.e10 @t71)) % 0.14/0.40 (define @t223 () (not @t222)) % 0.14/0.40 (define @t224 () (= tptp.e23 @t67)) % 0.14/0.40 (define @t225 () (and @t187 @t154 @t224 @t8)) % 0.14/0.40 (define @t226 () (= tptp.e14 @t71)) % 0.14/0.40 (define @t227 () (= tptp.e11 @t10)) % 0.14/0.40 (define @t228 () (= tptp.e13 @t24)) % 0.14/0.40 (define @t229 () (and @t90 @t82 @t227 @t228 @t198 @t199 @t154 @t226 @t160 @t182)) % 0.14/0.40 (assume @p1 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) (not (= tptp.e10 tptp.e13)) @t2 (not (= tptp.e11 tptp.e12)) (not (= tptp.e11 tptp.e13)) (not (= tptp.e11 tptp.e14)) (not (= tptp.e12 tptp.e13)) (not (= tptp.e12 tptp.e14)) (not (= tptp.e13 tptp.e14)))) % 0.14/0.40 (assume @p2 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) @t8 @t6 (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)) @t4)) % 0.14/0.40 (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)))) % 0.14/0.40 (assume @p4 (and (= @t33 tptp.e10) (= @t32 tptp.e11) (= @t31 tptp.e12) (= @t30 tptp.e13) (= @t29 tptp.e14) (= @t28 tptp.e11) (= @t27 tptp.e10) (= @t26 tptp.e14) (= @t25 tptp.e12) (= @t24 tptp.e13) (= @t23 tptp.e12) (= @t22 tptp.e14) (= @t21 tptp.e13) (= @t20 tptp.e10) (= @t19 tptp.e11) (= @t18 tptp.e13) (= @t17 tptp.e12) (= @t16 tptp.e11) (= @t15 tptp.e14) (= @t14 tptp.e10) (= @t13 tptp.e14) (= @t12 tptp.e13) (= @t11 tptp.e10) (= @t10 tptp.e11) (= @t9 tptp.e12))) % 0.14/0.40 (assume @p5 (and (= @t58 tptp.e20) (= @t57 tptp.e21) (= @t56 tptp.e22) (= @t55 tptp.e23) (= @t54 tptp.e24) (= @t53 tptp.e21) (= @t52 tptp.e22) (= @t51 tptp.e24) (= @t50 tptp.e20) (= @t49 tptp.e23) (= @t48 tptp.e22) (= @t47 tptp.e20) (= @t46 tptp.e23) (= @t45 tptp.e24) (= @t44 tptp.e21) (= @t43 tptp.e23) (= @t42 tptp.e24) (= @t41 tptp.e20) (= @t40 tptp.e21) (= @t39 tptp.e22) (= @t38 tptp.e24) (= @t37 tptp.e23) (= @t36 tptp.e21) (= @t35 tptp.e22) (= @t34 tptp.e20))) % 0.14/0.40 (assume @p6 @t149) % 0.14/0.40 (assume @p7 true) % 0.14/0.40 (step @p8 :rule and_elim :premises (@p4) :args (9)) % 0.14/0.40 (step @p9 :rule symm :premises (@p8)) % 0.14/0.40 (step @p10 :rule and_elim :premises (@p4) :args (23)) % 0.14/0.40 (step @p11 :rule symm :premises (@p10)) % 0.14/0.40 (step @p12 :rule and_elim :premises (@p5) :args (17)) % 0.14/0.40 (step @p13 :rule symm :premises (@p12)) % 0.14/0.40 (step @p14 :rule and_elim :premises (@p5) :args (23)) % 0.14/0.40 (step @p15 :rule symm :premises (@p14)) % 0.14/0.40 (step @p16 :rule eq-symm :args (@t60 tptp.e14)) % 0.14/0.40 (step @p17 :rule eq-symm :args (@t62 tptp.e13)) % 0.14/0.40 (step @p18 :rule eq-symm :args (@t64 tptp.e12)) % 0.14/0.40 (step @p19 :rule eq-symm :args (@t66 tptp.e11)) % 0.14/0.40 (step @p20 :rule eq-symm :args (@t68 tptp.e10)) % 0.14/0.40 (step @p21 :rule eq-symm :args (@t70 tptp.e24)) % 0.14/0.40 (step @p22 :rule eq-symm :args (@t72 tptp.e23)) % 0.14/0.40 (step @p23 :rule eq-symm :args (@t74 tptp.e22)) % 0.14/0.40 (step @p24 :rule eq-symm :args (@t76 tptp.e21)) % 0.14/0.40 (step @p25 :rule eq-symm :args (@t78 tptp.e20)) % 0.14/0.40 (step @p26 :rule refl :args (@t80)) % 0.14/0.40 (step @p27 :rule refl :args (@t82)) % 0.14/0.40 (step @p28 :rule refl :args (@t83)) % 0.14/0.40 (step @p29 :rule refl :args (@t84)) % 0.14/0.40 (step @p30 :rule refl :args (@t86)) % 0.14/0.40 (step @p31 :rule refl :args (@t87)) % 0.14/0.40 (step @p32 :rule refl :args (@t88)) % 0.14/0.40 (step @p33 :rule refl :args (@t90)) % 0.14/0.40 (step @p34 :rule refl :args (@t91)) % 0.14/0.40 (step @p35 :rule refl :args (@t92)) % 0.14/0.40 (step @p36 :rule refl :args (@t93)) % 0.14/0.40 (step @p37 :rule refl :args (@t94)) % 0.14/0.40 (step @p38 :rule refl :args (@t95)) % 0.14/0.40 (step @p39 :rule refl :args (@t96)) % 0.14/0.40 (step @p40 :rule refl :args (@t97)) % 0.14/0.40 (step @p41 :rule refl :args (@t98)) % 0.14/0.40 (step @p42 :rule refl :args (@t99)) % 0.14/0.40 (step @p43 :rule refl :args (@t100)) % 0.14/0.40 (step @p44 :rule refl :args (@t101)) % 0.14/0.40 (step @p45 :rule refl :args (@t102)) % 0.14/0.40 (step @p46 :rule refl :args (@t103)) % 0.14/0.40 (step @p47 :rule refl :args (@t104)) % 0.14/0.40 (step @p48 :rule refl :args (@t105)) % 0.14/0.40 (step @p49 :rule refl :args (@t106)) % 0.14/0.40 (step @p50 :rule refl :args (@t107)) % 0.14/0.40 (step @p51 :rule refl :args (@t108)) % 0.14/0.40 (step @p52 :rule refl :args (@t109)) % 0.14/0.40 (step @p53 :rule refl :args (@t110)) % 0.14/0.40 (step @p54 :rule refl :args (@t111)) % 0.14/0.40 (step @p55 :rule refl :args (@t112)) % 0.14/0.40 (step @p56 :rule refl :args (@t113)) % 0.14/0.40 (step @p57 :rule refl :args (@t114)) % 0.14/0.40 (step @p58 :rule refl :args (@t115)) % 0.14/0.40 (step @p59 :rule refl :args (@t116)) % 0.14/0.40 (step @p60 :rule refl :args (@t117)) % 0.14/0.40 (step @p61 :rule refl :args (@t118)) % 0.14/0.40 (step @p62 :rule refl :args (@t119)) % 0.14/0.40 (step @p63 :rule refl :args (@t120)) % 0.14/0.40 (step @p64 :rule refl :args (@t121)) % 0.14/0.40 (step @p65 :rule refl :args (@t122)) % 0.14/0.40 (step @p66 :rule refl :args (@t123)) % 0.14/0.40 (step @p67 :rule refl :args (@t124)) % 0.14/0.40 (step @p68 :rule refl :args (@t125)) % 0.14/0.40 (step @p69 :rule refl :args (@t127)) % 0.14/0.40 (step @p70 :rule refl :args (@t128)) % 0.14/0.40 (step @p71 :rule refl :args (@t129)) % 0.14/0.40 (step @p72 :rule refl :args (@t130)) % 0.14/0.40 (step @p73 :rule refl :args (@t131)) % 0.14/0.40 (step @p74 :rule refl :args (@t132)) % 0.14/0.40 (step @p75 :rule refl :args (@t134)) % 0.14/0.40 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73 @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) :args (@t135)) % 0.14/0.40 (step @p77 :rule cong :premises (@p76) :args (@t136)) % 0.14/0.40 (step @p78 :rule eq-symm :args (@t69 tptp.e14)) % 0.14/0.40 (step @p79 :rule eq-symm :args (@t69 tptp.e13)) % 0.14/0.40 (step @p80 :rule eq-symm :args (@t69 tptp.e12)) % 0.14/0.40 (step @p81 :rule eq-symm :args (@t69 tptp.e11)) % 0.14/0.40 (step @p82 :rule eq-symm :args (@t69 tptp.e10)) % 0.14/0.40 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79 @p78) :args (@t137)) % 0.14/0.40 (step @p84 :rule eq-symm :args (@t71 tptp.e14)) % 0.14/0.40 (step @p85 :rule eq-symm :args (@t71 tptp.e13)) % 0.14/0.40 (step @p86 :rule eq-symm :args (@t71 tptp.e12)) % 0.14/0.40 (step @p87 :rule eq-symm :args (@t71 tptp.e11)) % 0.14/0.40 (step @p88 :rule eq-symm :args (@t71 tptp.e10)) % 0.14/0.40 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p85 @p84) :args (@t138)) % 0.14/0.40 (step @p90 :rule eq-symm :args (@t73 tptp.e14)) % 0.14/0.40 (step @p91 :rule eq-symm :args (@t73 tptp.e13)) % 0.14/0.40 (step @p92 :rule eq-symm :args (@t73 tptp.e12)) % 0.14/0.40 (step @p93 :rule eq-symm :args (@t73 tptp.e11)) % 0.14/0.40 (step @p94 :rule eq-symm :args (@t73 tptp.e10)) % 0.14/0.40 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91 @p90) :args (@t139)) % 0.14/0.40 (step @p96 :rule eq-symm :args (@t75 tptp.e14)) % 0.14/0.40 (step @p97 :rule eq-symm :args (@t75 tptp.e13)) % 0.14/0.40 (step @p98 :rule eq-symm :args (@t75 tptp.e12)) % 0.14/0.40 (step @p99 :rule eq-symm :args (@t75 tptp.e11)) % 0.14/0.40 (step @p100 :rule eq-symm :args (@t75 tptp.e10)) % 0.14/0.40 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98 @p97 @p96) :args (@t140)) % 0.14/0.40 (step @p102 :rule eq-symm :args (@t77 tptp.e14)) % 0.14/0.40 (step @p103 :rule eq-symm :args (@t77 tptp.e13)) % 0.14/0.40 (step @p104 :rule eq-symm :args (@t77 tptp.e12)) % 0.14/0.40 (step @p105 :rule eq-symm :args (@t77 tptp.e11)) % 0.14/0.40 (step @p106 :rule eq-symm :args (@t77 tptp.e10)) % 0.14/0.40 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103 @p102) :args (@t141)) % 0.14/0.40 (step @p108 :rule eq-symm :args (@t59 tptp.e24)) % 0.14/0.40 (step @p109 :rule eq-symm :args (@t59 tptp.e23)) % 0.14/0.40 (step @p110 :rule eq-symm :args (@t59 tptp.e22)) % 0.14/0.40 (step @p111 :rule eq-symm :args (@t59 tptp.e21)) % 0.14/0.40 (step @p112 :rule eq-symm :args (@t59 tptp.e20)) % 0.14/0.40 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p108) :args (@t142)) % 0.14/0.40 (step @p114 :rule eq-symm :args (@t61 tptp.e24)) % 0.14/0.40 (step @p115 :rule eq-symm :args (@t61 tptp.e23)) % 0.14/0.40 (step @p116 :rule eq-symm :args (@t61 tptp.e22)) % 0.14/0.40 (step @p117 :rule eq-symm :args (@t61 tptp.e21)) % 0.14/0.40 (step @p118 :rule eq-symm :args (@t61 tptp.e20)) % 0.14/0.40 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p115 @p114) :args (@t143)) % 0.14/0.40 (step @p120 :rule eq-symm :args (@t63 tptp.e24)) % 0.14/0.40 (step @p121 :rule eq-symm :args (@t63 tptp.e23)) % 0.14/0.40 (step @p122 :rule eq-symm :args (@t63 tptp.e22)) % 0.14/0.40 (step @p123 :rule eq-symm :args (@t63 tptp.e21)) % 0.14/0.40 (step @p124 :rule eq-symm :args (@t63 tptp.e20)) % 0.14/0.40 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122 @p121 @p120) :args (@t144)) % 0.14/0.40 (step @p126 :rule eq-symm :args (@t65 tptp.e24)) % 0.14/0.40 (step @p127 :rule eq-symm :args (@t65 tptp.e23)) % 0.14/0.40 (step @p128 :rule eq-symm :args (@t65 tptp.e22)) % 0.14/0.40 (step @p129 :rule eq-symm :args (@t65 tptp.e21)) % 0.14/0.40 (step @p130 :rule eq-symm :args (@t65 tptp.e20)) % 0.14/0.40 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128 @p127 @p126) :args (@t145)) % 0.14/0.40 (step @p132 :rule eq-symm :args (@t67 tptp.e24)) % 0.14/0.40 (step @p133 :rule eq-symm :args (@t67 tptp.e23)) % 0.14/0.40 (step @p134 :rule eq-symm :args (@t67 tptp.e22)) % 0.14/0.40 (step @p135 :rule eq-symm :args (@t67 tptp.e21)) % 0.14/0.40 (step @p136 :rule eq-symm :args (@t67 tptp.e20)) % 0.14/0.40 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133 @p132) :args (@t146)) % 0.14/0.40 (step @p138 :rule nary_cong :premises (@p137 @p131 @p125 @p119 @p113 @p107 @p101 @p95 @p89 @p83) :args (@t147)) % 0.14/0.40 (step @p139 :rule cong :premises (@p138 @p77) :args (@t148)) % 0.14/0.40 (step @p140 :rule cong :premises (@p139) :args (@t149)) % 0.14/0.40 (step @p141 :rule eq_resolve :premises (@p6 @p140)) % 0.14/0.40 (step @p142 :rule not_implies_elim2 :premises (@p141)) % 0.14/0.40 (step @p143 :rule not_not_elim :premises (@p142)) % 0.14/0.40 (step @p144 :rule and_elim :premises (@p143) :args (42)) % 0.14/0.40 (step @p145 :rule and_elim :premises (@p143) :args (48)) % 0.14/0.40 (step @p146 :rule and_elim :premises (@p143) :args (55)) % 0.14/0.40 (step @p147 :rule and_elim :premises (@p4) :args (0)) % 0.14/0.40 (step @p148 :rule symm :premises (@p147)) % 0.14/0.40 (step @p149 :rule and_elim :premises (@p5) :args (24)) % 0.14/0.40 (step @p150 :rule symm :premises (@p149)) % 0.14/0.40 (step @p151 :rule and_elim :premises (@p143) :args (0)) % 0.14/0.40 (step @p152 :rule and_elim :premises (@p143) :args (54)) % 0.14/0.40 (assume-push @p787 @t134) % 0.14/0.40 (assume-push @p788 @t150) % 0.14/0.40 (assume-push @p789 @t151) % 0.14/0.40 (assume-push @p790 @t152) % 0.14/0.40 (assume-push @p791 @t153) % 0.14/0.40 (assume-push @p792 @t150) % 0.14/0.40 (assume-push @p793 @t134) % 0.14/0.40 (assume-push @p794 @t152) % 0.14/0.40 (assume-push @p795 @t153) % 0.14/0.40 (assume-push @p796 @t151) % 0.14/0.40 (step @p163 :rule cong :premises (@p147) :args (@t133)) % 0.14/0.40 (step @p164 :rule symm :premises (@p151)) % 0.14/0.40 (step @p165 :rule symm :premises (@p790)) % 0.14/0.40 (step @p166 :rule cong :premises (@p165) :args (@t70)) % 0.14/0.40 (step @p167 :rule trans :premises (@p152 @p166)) % 0.14/0.40 (step @p168 :rule cong :premises (@p167 @p167) :args (@t34)) % 0.14/0.40 (step @p169 :rule trans :premises (@p150 @p168 @p164 @p163)) % 0.14/0.40 (step-pop @p797 :rule scope :premises (@p169)) % 0.14/0.40 (step-pop @p798 :rule scope :premises (@p797)) % 0.14/0.40 (step-pop @p799 :rule scope :premises (@p798)) % 0.14/0.40 (step-pop @p800 :rule scope :premises (@p799)) % 0.14/0.40 (step-pop @p801 :rule scope :premises (@p800)) % 0.14/0.40 (step @p170 :rule process_scope :premises (@p801) :args (@t154)) % 0.14/0.40 (step @p176 :rule and_intro :premises (@p148 @p151 @p790 @p152 @p150)) % 0.14/0.40 (step @p177 :rule 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(step @p633 :rule cnf_and_neg :args (@t215)) % 0.14/0.40 (step @p634 :rule resolution :premises (@p633 @p632) :args (true @t215)) % 0.14/0.40 (step @p635 :rule eq_resolve :premises (@p634 @p601)) % 0.14/0.40 (step @p636 :rule reordering :premises (@p635) :args ((or @t3 @t213 @t162 @t156))) % 0.14/0.40 (step @p637 :rule chain_m_resolution :premises (@p636 @p597 @p471 @p152) :args (@t213 @t216 (@list @t3 @t160 @t153))) % 0.14/0.40 (assume-push @p1045 @t217) % 0.14/0.40 (assume-push @p1046 @t160) % 0.14/0.40 (assume-push @p1047 @t218) % 0.14/0.40 (assume-push @p1048 @t160) % 0.14/0.40 (assume-push @p1049 @t217) % 0.14/0.40 (assume-push @p1050 @t218) % 0.14/0.40 (step @p644 :rule symm :premises (@p1046)) % 0.14/0.40 (step @p645 :rule cong :premises (@p644) :args (@t70)) % 0.14/0.40 (step @p646 :rule symm :premises (@p1045)) % 0.14/0.40 (step @p647 :rule trans :premises (@p646 @p1046)) % 0.14/0.40 (step @p648 :rule cong :premises (@p647) :args (@t72)) % 0.14/0.40 (step @p649 :rule trans 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0.14/0.40 (step @p664 :rule chain_m_resolution :premises (@p663 @p637 @p471 @p596) :args (@t221 @t216 (@list @t212 @t160 @t218))) % 0.14/0.40 (step @p665 :rule and_elim :premises (@p2) :args (2)) % 0.14/0.40 (step @p666 :rule refl :args (@t220)) % 0.14/0.40 (step @p667 :rule refl :args (@t223)) % 0.14/0.40 (step @p668 :rule bool-double-not-elim :args (@t7)) % 0.14/0.40 (step @p669 :rule nary_cong :premises (@p668 @p378 @p377 @p667 @p375 @p666 @p373) :args ((or (not @t8) @t188 @t186 @t223 @t185 @t220 @t183))) % 0.14/0.40 (assume-push @p1057 @t187) % 0.14/0.40 (assume-push @p1058 @t154) % 0.14/0.40 (assume-push @p1059 @t224) % 0.14/0.40 (assume-push @p1060 @t8) % 0.14/0.40 (step @p385 :rule evaluate :args (@t190)) % 0.14/0.40 (step @p674 :rule symm :premises (@p1058)) % 0.14/0.40 (step @p675 :rule trans :premises (@p1059 @p674 @p371)) % 0.14/0.40 (step @p676 :rule symm :premises (@p675)) % 0.14/0.40 (step @p677 :rule trans :premises (@p371 @p676)) % 0.14/0.40 (step @p678 :rule true_intro :premises (@p677)) % 0.14/0.40 (step @p679 :rule false_intro :premises (@p665)) % 0.14/0.40 (step @p680 :rule symm :premises (@p679)) % 0.14/0.40 (step @p681 :rule trans :premises (@p680 @p678)) % 0.14/0.40 (step @p682 false :rule eq_resolve :premises (@p681 @p385)) % 0.14/0.40 (step-pop @p1061 :rule scope :premises (@p682)) % 0.14/0.40 (step-pop @p1062 :rule scope :premises (@p1061)) % 0.14/0.40 (step-pop @p1063 :rule scope :premises (@p1062)) % 0.14/0.40 (step-pop @p1064 :rule scope :premises (@p1063)) % 0.14/0.40 (step @p683 :rule process_scope :premises (@p1064) :args (false)) % 0.14/0.40 (assume-push @p1065 @t8) % 0.14/0.40 (assume-push @p1066 @t187) % 0.14/0.40 (assume-push @p1067 @t154) % 0.14/0.40 (assume-push @p1068 @t222) % 0.14/0.40 (assume-push @p1069 @t184) % 0.14/0.40 (assume-push @p1070 @t218) % 0.14/0.40 (assume-push @p1071 @t182) % 0.14/0.40 (assume-push @p1072 @t154) % 0.14/0.40 (assume-push @p1073 @t184) % 0.14/0.40 (assume-push @p1074 @t182) % 0.14/0.40 (assume-push @p1075 @t222) % 0.14/0.40 (assume-push @p1076 @t218) % 0.14/0.40 (step @p412 :rule symm :premises (@p369)) % 0.14/0.40 (step @p700 :rule symm :premises (@p1067)) % 0.14/0.40 (step @p701 :rule cong :premises (@p700) :args (@t68)) % 0.14/0.40 (step @p702 :rule symm :premises (@p1068)) % 0.14/0.40 (step @p703 :rule trans :premises (@p702 @p146 @p701)) % 0.14/0.40 (step @p704 :rule cong :premises (@p703) :args (@t72)) % 0.14/0.40 (step @p705 :rule trans :premises (@p596 @p704 @p412 @p1067)) % 0.14/0.40 (step-pop @p1077 :rule scope :premises (@p705)) % 0.14/0.40 (step-pop @p1078 :rule scope :premises (@p1077)) % 0.14/0.40 (step-pop @p1079 :rule scope :premises (@p1078)) % 0.14/0.40 (step-pop @p1080 :rule scope :premises (@p1079)) % 0.14/0.40 (step-pop @p1081 :rule scope :premises (@p1080)) % 0.14/0.40 (step @p706 :rule process_scope :premises (@p1081) :args (@t224)) % 0.14/0.40 (step @p712 :rule and_intro :premises (@p1067 @p369 @p146 @p1068 @p596)) % 0.14/0.40 (step @p713 :rule modus_ponens :premises (@p712 @p706)) % 0.14/0.40 (step @p714 :rule and_intro :premises (@p371 @p1067 @p713 @p665)) % 0.14/0.40 (step-pop @p1082 :rule scope :premises (@p714)) % 0.14/0.40 (step-pop @p1083 :rule scope :premises (@p1082)) % 0.14/0.40 (step-pop @p1084 :rule scope :premises (@p1083)) % 0.14/0.40 (step-pop @p1085 :rule scope :premises (@p1084)) % 0.14/0.40 (step-pop @p1086 :rule scope :premises (@p1085)) % 0.14/0.40 (step-pop @p1087 :rule scope :premises (@p1086)) % 0.14/0.40 (step-pop @p1088 :rule scope :premises (@p1087)) % 0.14/0.40 (step @p715 :rule process_scope :premises (@p1088) :args (@t225)) % 0.14/0.40 (step @p723 :rule implies_elim :premises (@p715)) % 0.14/0.40 (step @p724 :rule resolution :premises (@p723 @p683) :args (true @t225)) % 0.14/0.40 (step @p725 :rule not_and :premises (@p724)) % 0.14/0.40 (step @p726 :rule eq_resolve :premises (@p725 @p669)) % 0.14/0.40 (step @p727 :rule chain_m_resolution :premises (@p726 @p665 @p371 @p368 @p369 @p596 @p146) :args (@t223 @t192 (@list @t7 @t187 @t154 @t184 @t218 @t182))) % 0.14/0.40 (step @p728 :rule and_elim :premises (@p322) :args (8)) % 0.14/0.40 (step @p729 :rule chain_m_resolution :premises (@p728 @p727 @p664 @p595 @p534) :args (@t226 @t195 (@list @t222 @t217 @t209 @t200))) % 0.14/0.40 (assume-push @p1089 @t90) % 0.14/0.40 (assume-push @p1090 @t82) % 0.14/0.40 (assume-push @p1091 @t227) % 0.14/0.40 (assume-push @p1092 @t228) % 0.14/0.40 (assume-push @p1093 @t198) % 0.14/0.40 (assume-push @p1094 @t199) % 0.14/0.40 (assume-push @p1095 @t154) % 0.14/0.40 (assume-push @p1096 @t226) % 0.14/0.40 (assume-push @p1097 @t160) % 0.14/0.40 (assume-push @p1098 @t182) % 0.14/0.40 (assume-push @p1099 @t160) % 0.14/0.40 (assume-push @p1100 @t227) % 0.14/0.40 (assume-push @p1101 @t226) % 0.14/0.40 (assume-push @p1102 @t228) % 0.14/0.40 (assume-push @p1103 @t82) % 0.14/0.40 (assume-push @p1104 @t198) % 0.14/0.40 (assume-push @p1105 @t90) % 0.14/0.40 (assume-push @p1106 @t199) % 0.14/0.40 (assume-push @p1107 @t154) % 0.14/0.40 (assume-push @p1108 @t182) % 0.14/0.40 (step @p750 :rule symm :premises (@p1096)) % 0.14/0.40 (step @p751 :rule symm :premises (@p1097)) % 0.14/0.40 (step @p752 :rule cong :premises (@p751 @p750) :args (@t81)) % 0.14/0.40 (step @p499 :rule cong :premises (@p15) :args (@t73)) % 0.14/0.40 (step @p753 :rule trans :premises (@p499 @p145 @p752 @p8)) % 0.14/0.40 (step @p754 :rule cong :premises (@p750 @p753) :args (@t89)) % 0.14/0.40 (step @p502 :rule cong :premises (@p13) :args (@t77)) % 0.14/0.40 (step @p755 :rule symm :premises (@p1095)) % 0.14/0.40 (step @p756 :rule cong :premises (@p755) :args (@t68)) % 0.14/0.40 (step @p757 :rule trans :premises (@p146 @p756 @p502 @p144 @p754 @p10 @p1097)) % 0.14/0.40 (step-pop @p1109 :rule scope :premises (@p757)) % 0.14/0.40 (step-pop @p1110 :rule scope :premises (@p1109)) % 0.14/0.40 (step-pop @p1111 :rule scope :premises (@p1110)) % 0.14/0.40 (step-pop @p1112 :rule scope :premises (@p1111)) % 0.14/0.40 (step-pop @p1113 :rule scope :premises (@p1112)) % 0.14/0.40 (step-pop @p1114 :rule scope :premises (@p1113)) % 0.14/0.40 (step-pop @p1115 :rule scope :premises (@p1114)) % 0.14/0.40 (step-pop @p1116 :rule scope :premises (@p1115)) % 0.14/0.40 (step-pop @p1117 :rule scope :premises (@p1116)) % 0.14/0.40 (step-pop @p1118 :rule scope :premises (@p1117)) % 0.14/0.40 (step @p758 :rule process_scope :premises (@p1118) :args (@t152)) % 0.14/0.40 (step @p769 :rule and_intro :premises (@p1097 @p11 @p1096 @p9 @p145 @p15 @p144 @p13 @p1095 @p146)) % 0.14/0.40 (step @p770 :rule modus_ponens :premises (@p769 @p758)) % 0.14/0.40 (step-pop @p1119 :rule scope :premises (@p770)) % 0.14/0.40 (step-pop @p1120 :rule scope :premises (@p1119)) % 0.14/0.40 (step-pop @p1121 :rule scope :premises (@p1120)) % 0.14/0.40 (step-pop @p1122 :rule scope :premises (@p1121)) % 0.14/0.40 (step-pop @p1123 :rule scope :premises (@p1122)) % 0.14/0.40 (step-pop @p1124 :rule scope :premises (@p1123)) % 0.14/0.40 (step-pop @p1125 :rule scope :premises (@p1124)) % 0.14/0.40 (step-pop @p1126 :rule scope :premises (@p1125)) % 0.14/0.40 (step-pop @p1127 :rule scope :premises (@p1126)) % 0.14/0.40 (step-pop @p1128 :rule scope :premises (@p1127)) % 0.14/0.40 (step @p771 :rule process_scope :premises (@p1128) :args (@t152)) % 0.14/0.40 (step @p782 :rule implies_elim :premises (@p771)) % 0.14/0.40 (step @p783 :rule cnf_and_neg :args (@t229)) % 0.14/0.40 (step @p784 :rule resolution :premises (@p783 @p782) :args (true @t229)) % 0.14/0.40 (step @p785 :rule reordering :premises (@p784) :args ((or @t152 (not @t228) (not @t227) @t206 @t205 @t186 (not @t226) @t162 @t203 @t202 @t183))) % 0.14/0.40 (step @p786 false :rule chain_m_resolution :premises (@p785 @p729 @p471 @p440 @p368 @p146 @p145 @p144 @p15 @p13 @p11 @p9) :args (false (@list false false true false false false false false false false false) (@list @t226 @t160 @t152 @t154 @t182 @t82 @t90 @t198 @t199 @t227 @t228))) % 0.14/0.40 ) % 0.14/0.40 % SZS output end Proof % 0.14/0.40 % cvc5 exiting %------------------------------------------------------------------------------