%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG042+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 : n028.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 08:05:05 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG042+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 : n028.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 01:38:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.e20 $$unsorted) % 0.38/0.58 (declare-const tptp.e21 $$unsorted) % 0.38/0.58 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.e23 $$unsorted) % 0.38/0.58 (declare-const tptp.e10 $$unsorted) % 0.38/0.58 (declare-const tptp.e22 $$unsorted) % 0.38/0.58 (declare-const tptp.e11 $$unsorted) % 0.38/0.58 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.e12 $$unsorted) % 0.38/0.58 (declare-const tptp.e13 $$unsorted) % 0.38/0.58 (define @t1 () (= tptp.e20 tptp.e23)) % 0.38/0.58 (define @t2 () (not @t1)) % 0.38/0.58 (define @t3 () (= tptp.e20 tptp.e22)) % 0.38/0.58 (define @t4 () (not @t3)) % 0.38/0.58 (define @t5 () (tptp.op1 tptp.e13 tptp.e13)) % 0.38/0.58 (define @t6 () (tptp.op1 tptp.e13 tptp.e12)) % 0.38/0.58 (define @t7 () (tptp.op1 tptp.e13 tptp.e11)) % 0.38/0.58 (define @t8 () (tptp.op1 tptp.e13 tptp.e10)) % 0.38/0.58 (define @t9 () (tptp.op1 tptp.e12 tptp.e13)) % 0.38/0.58 (define @t10 () (tptp.op1 tptp.e12 tptp.e12)) % 0.38/0.58 (define @t11 () (tptp.op1 tptp.e12 tptp.e11)) % 0.38/0.58 (define @t12 () (tptp.op1 tptp.e12 tptp.e10)) % 0.38/0.58 (define @t13 () (tptp.op1 tptp.e11 tptp.e13)) % 0.38/0.58 (define @t14 () (tptp.op1 tptp.e11 tptp.e12)) % 0.38/0.58 (define @t15 () (tptp.op1 tptp.e11 tptp.e11)) % 0.38/0.58 (define @t16 () (tptp.op1 tptp.e11 tptp.e10)) % 0.38/0.58 (define @t17 () (tptp.op1 tptp.e10 tptp.e13)) % 0.38/0.58 (define @t18 () (tptp.op1 tptp.e10 tptp.e12)) % 0.38/0.58 (define @t19 () (tptp.op1 tptp.e10 tptp.e11)) % 0.38/0.58 (define @t20 () (tptp.op1 tptp.e10 tptp.e10)) % 0.38/0.58 (define @t21 () (tptp.op2 tptp.e23 tptp.e23)) % 0.38/0.58 (define @t22 () (tptp.op2 tptp.e23 tptp.e22)) % 0.38/0.58 (define @t23 () (tptp.op2 tptp.e23 tptp.e21)) % 0.38/0.58 (define @t24 () (tptp.op2 tptp.e23 tptp.e20)) % 0.38/0.58 (define @t25 () (tptp.op2 tptp.e22 tptp.e23)) % 0.38/0.58 (define @t26 () (tptp.op2 tptp.e22 tptp.e22)) % 0.38/0.58 (define @t27 () (tptp.op2 tptp.e22 tptp.e21)) % 0.38/0.58 (define @t28 () (tptp.op2 tptp.e22 tptp.e20)) % 0.38/0.58 (define @t29 () (tptp.op2 tptp.e21 tptp.e23)) % 0.38/0.58 (define @t30 () (tptp.op2 tptp.e21 tptp.e22)) % 0.38/0.58 (define @t31 () (tptp.op2 tptp.e21 tptp.e21)) % 0.38/0.58 (define @t32 () (tptp.op2 tptp.e21 tptp.e20)) % 0.38/0.58 (define @t33 () (tptp.op2 tptp.e20 tptp.e23)) % 0.38/0.58 (define @t34 () (tptp.op2 tptp.e20 tptp.e22)) % 0.38/0.58 (define @t35 () (tptp.op2 tptp.e20 tptp.e21)) % 0.38/0.58 (define @t36 () (tptp.op2 tptp.e20 tptp.e20)) % 0.38/0.58 (define @t37 () (tptp.h tptp.e13)) % 0.38/0.58 (define @t38 () (tptp.j @t37)) % 0.38/0.58 (define @t39 () (tptp.h tptp.e12)) % 0.38/0.58 (define @t40 () (tptp.j @t39)) % 0.38/0.58 (define @t41 () (tptp.h tptp.e11)) % 0.38/0.58 (define @t42 () (tptp.j @t41)) % 0.38/0.58 (define @t43 () (tptp.h tptp.e10)) % 0.38/0.58 (define @t44 () (tptp.j @t43)) % 0.38/0.58 (define @t45 () (tptp.j tptp.e23)) % 0.38/0.58 (define @t46 () (tptp.h @t45)) % 0.38/0.58 (define @t47 () (tptp.j tptp.e22)) % 0.38/0.58 (define @t48 () (tptp.h @t47)) % 0.38/0.58 (define @t49 () (tptp.j tptp.e21)) % 0.38/0.58 (define @t50 () (tptp.h @t49)) % 0.38/0.58 (define @t51 () (tptp.j tptp.e20)) % 0.38/0.58 (define @t52 () (tptp.h @t51)) % 0.38/0.58 (define @t53 () (= (tptp.j @t21) (tptp.op1 @t45 @t45))) % 0.38/0.58 (define @t54 () (= (tptp.j @t22) (tptp.op1 @t45 @t47))) % 0.38/0.58 (define @t55 () (= (tptp.j @t23) (tptp.op1 @t45 @t49))) % 0.38/0.58 (define @t56 () (= (tptp.j @t24) (tptp.op1 @t45 @t51))) % 0.38/0.58 (define @t57 () (= (tptp.j @t25) (tptp.op1 @t47 @t45))) % 0.38/0.58 (define @t58 () (tptp.j @t26)) % 0.38/0.58 (define @t59 () (= @t58 (tptp.op1 @t47 @t47))) % 0.38/0.58 (define @t60 () (= (tptp.j @t27) (tptp.op1 @t47 @t49))) % 0.38/0.58 (define @t61 () (= (tptp.j @t28) (tptp.op1 @t47 @t51))) % 0.38/0.58 (define @t62 () (= (tptp.j @t29) (tptp.op1 @t49 @t45))) % 0.38/0.58 (define @t63 () (= (tptp.j @t30) (tptp.op1 @t49 @t47))) % 0.38/0.58 (define @t64 () (= (tptp.j @t31) (tptp.op1 @t49 @t49))) % 0.38/0.58 (define @t65 () (= (tptp.j @t32) (tptp.op1 @t49 @t51))) % 0.38/0.58 (define @t66 () (= (tptp.j @t33) (tptp.op1 @t51 @t45))) % 0.38/0.58 (define @t67 () (= (tptp.j @t34) (tptp.op1 @t51 @t47))) % 0.38/0.58 (define @t68 () (= (tptp.j @t35) (tptp.op1 @t51 @t49))) % 0.38/0.58 (define @t69 () (= (tptp.j @t36) (tptp.op1 @t51 @t51))) % 0.38/0.58 (define @t70 () (tptp.h @t5)) % 0.38/0.58 (define @t71 () (= @t70 (tptp.op2 @t37 @t37))) % 0.38/0.58 (define @t72 () (= (tptp.h @t6) (tptp.op2 @t37 @t39))) % 0.38/0.58 (define @t73 () (= (tptp.h @t7) (tptp.op2 @t37 @t41))) % 0.38/0.58 (define @t74 () (= (tptp.h @t8) (tptp.op2 @t37 @t43))) % 0.38/0.58 (define @t75 () (= (tptp.h @t9) (tptp.op2 @t39 @t37))) % 0.38/0.58 (define @t76 () (tptp.h @t10)) % 0.38/0.58 (define @t77 () (= @t76 (tptp.op2 @t39 @t39))) % 0.38/0.58 (define @t78 () (= (tptp.h @t11) (tptp.op2 @t39 @t41))) % 0.38/0.58 (define @t79 () (= (tptp.h @t12) (tptp.op2 @t39 @t43))) % 0.38/0.58 (define @t80 () (= (tptp.h @t13) (tptp.op2 @t41 @t37))) % 0.38/0.58 (define @t81 () (= (tptp.h @t14) (tptp.op2 @t41 @t39))) % 0.38/0.58 (define @t82 () (tptp.h @t15)) % 0.38/0.58 (define @t83 () (= @t82 (tptp.op2 @t41 @t41))) % 0.38/0.58 (define @t84 () (= (tptp.h @t16) (tptp.op2 @t41 @t43))) % 0.38/0.58 (define @t85 () (= (tptp.h @t17) (tptp.op2 @t43 @t37))) % 0.38/0.58 (define @t86 () (= (tptp.h @t18) (tptp.op2 @t43 @t39))) % 0.38/0.58 (define @t87 () (= (tptp.h @t19) (tptp.op2 @t43 @t41))) % 0.38/0.58 (define @t88 () (tptp.h @t20)) % 0.38/0.58 (define @t89 () (= @t88 (tptp.op2 @t43 @t43))) % 0.38/0.58 (define @t90 () (and @t89 @t87 @t86 @t85 @t84 @t83 @t81 @t80 @t79 @t78 @t77 @t75 @t74 @t73 @t72 @t71 @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t57 @t56 @t55 @t54 @t53 (= @t52 tptp.e20) (= @t50 tptp.e21) (= @t48 tptp.e22) (= @t46 tptp.e23) (= @t44 tptp.e10) (= @t42 tptp.e11) (= @t40 tptp.e12) (= @t38 tptp.e13))) % 0.38/0.58 (define @t91 () (not @t90)) % 0.38/0.58 (define @t92 () (or (= @t45 tptp.e10) (= @t45 tptp.e11) (= @t45 tptp.e12) (= @t45 tptp.e13))) % 0.38/0.58 (define @t93 () (or (= @t47 tptp.e10) (= @t47 tptp.e11) (= @t47 tptp.e12) (= @t47 tptp.e13))) % 0.38/0.58 (define @t94 () (or (= @t49 tptp.e10) (= @t49 tptp.e11) (= @t49 tptp.e12) (= @t49 tptp.e13))) % 0.38/0.58 (define @t95 () (or (= @t51 tptp.e10) (= @t51 tptp.e11) (= @t51 tptp.e12) (= @t51 tptp.e13))) % 0.38/0.58 (define @t96 () (or (= @t37 tptp.e20) (= @t37 tptp.e21) (= @t37 tptp.e22) (= @t37 tptp.e23))) % 0.38/0.58 (define @t97 () (or (= @t39 tptp.e20) (= @t39 tptp.e21) (= @t39 tptp.e22) (= @t39 tptp.e23))) % 0.38/0.58 (define @t98 () (or (= @t41 tptp.e20) (= @t41 tptp.e21) (= @t41 tptp.e22) (= @t41 tptp.e23))) % 0.38/0.58 (define @t99 () (or (= @t43 tptp.e20) (= @t43 tptp.e21) (= @t43 tptp.e22) (= @t43 tptp.e23))) % 0.38/0.58 (define @t100 () (and @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92)) % 0.38/0.58 (define @t101 () (=> @t100 @t91)) % 0.38/0.58 (define @t102 () (not @t101)) % 0.38/0.58 (define @t103 () (= tptp.e10 @t20)) % 0.38/0.58 (define @t104 () (= tptp.e20 @t21)) % 0.38/0.58 (define @t105 () (= tptp.e10 @t45)) % 0.38/0.58 (define @t106 () (= tptp.e23 @t46)) % 0.38/0.58 (define @t107 () (= tptp.e20 @t43)) % 0.38/0.58 (define @t108 () (and @t89 @t103 @t104 @t105 @t106)) % 0.38/0.58 (define @t109 () (not @t106)) % 0.38/0.58 (define @t110 () (not @t105)) % 0.38/0.58 (define @t111 () (not @t104)) % 0.38/0.58 (define @t112 () (= tptp.e10 @t15)) % 0.38/0.58 (define @t113 () (= tptp.e11 @t45)) % 0.38/0.58 (define @t114 () (and @t83 @t112 @t104 @t113 @t106)) % 0.38/0.58 (define @t115 () (not @t112)) % 0.38/0.58 (define @t116 () (= tptp.e10 @t10)) % 0.38/0.58 (define @t117 () (= tptp.e12 @t45)) % 0.38/0.58 (define @t118 () (and @t77 @t116 @t104 @t117 @t106)) % 0.38/0.58 (define @t119 () (not @t116)) % 0.38/0.58 (define @t120 () (= tptp.e10 @t5)) % 0.38/0.58 (define @t121 () (= tptp.e13 @t45)) % 0.38/0.58 (define @t122 () (and @t71 @t120 @t104 @t121 @t106)) % 0.38/0.58 (define @t123 () (not @t120)) % 0.38/0.58 (define @t124 () (= tptp.e23 @t26)) % 0.38/0.58 (define @t125 () (= tptp.e11 @t47)) % 0.38/0.58 (define @t126 () (and @t59 @t112 @t124 @t125)) % 0.38/0.58 (define @t127 () (not @t59)) % 0.38/0.58 (define @t128 () (not @t124)) % 0.38/0.58 (define @t129 () (= tptp.e12 @t47)) % 0.38/0.58 (define @t130 () (and @t59 @t116 @t124 @t129)) % 0.38/0.58 (define @t131 () (= tptp.e10 @t44)) % 0.38/0.58 (define @t132 () (not @t131)) % 0.38/0.58 (define @t133 () (= tptp.e22 @t48)) % 0.38/0.58 (define @t134 () (not @t133)) % 0.38/0.58 (define @t135 () (= tptp.e20 @t52)) % 0.38/0.58 (define @t136 () (not @t135)) % 0.38/0.58 (define @t137 () (= tptp.e10 @t47)) % 0.38/0.58 (define @t138 () (not @t137)) % 0.38/0.58 (define @t139 () (not @t107)) % 0.38/0.58 (define @t140 () (= tptp.e20 @t36)) % 0.38/0.58 (define @t141 () (not @t140)) % 0.38/0.58 (define @t142 () (= tptp.e22 @t43)) % 0.38/0.58 (define @t143 () (= false true)) % 0.38/0.58 (define @t144 () (and @t140 @t107 @t142 @t4)) % 0.38/0.58 (define @t145 () (= tptp.e13 @t47)) % 0.38/0.58 (define @t146 () (and @t59 @t120 @t124 @t145)) % 0.38/0.58 (define @t147 () (= tptp.e23 @t43)) % 0.38/0.58 (define @t148 () (and @t140 @t107 @t147 @t2)) % 0.38/0.58 (assume @p1 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) (not (= tptp.e10 tptp.e13)) (not (= tptp.e11 tptp.e12)) (not (= tptp.e11 tptp.e13)) (not (= tptp.e12 tptp.e13)))) % 0.38/0.58 (assume @p2 (and (not (= tptp.e20 tptp.e21)) @t4 @t2 (not (= tptp.e21 tptp.e22)) (not (= tptp.e21 tptp.e23)) (not (= tptp.e22 tptp.e23)))) % 0.38/0.58 (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.e11 tptp.e20)) (not (= tptp.e11 tptp.e21)) (not (= tptp.e11 tptp.e22)) (not (= tptp.e11 tptp.e23)) (not (= tptp.e12 tptp.e20)) (not (= tptp.e12 tptp.e21)) (not (= tptp.e12 tptp.e22)) (not (= tptp.e12 tptp.e23)) (not (= tptp.e13 tptp.e20)) (not (= tptp.e13 tptp.e21)) (not (= tptp.e13 tptp.e22)) (not (= tptp.e13 tptp.e23)))) % 0.38/0.58 (assume @p4 (and (= @t20 tptp.e10) (= @t19 tptp.e11) (= @t18 tptp.e12) (= @t17 tptp.e13) (= @t16 tptp.e11) (= @t15 tptp.e10) (= @t14 tptp.e13) (= @t13 tptp.e12) (= @t12 tptp.e12) (= @t11 tptp.e13) (= @t10 tptp.e10) (= @t9 tptp.e11) (= @t8 tptp.e13) (= @t7 tptp.e12) (= @t6 tptp.e11) (= @t5 tptp.e10))) % 0.38/0.58 (assume @p5 (and (= @t36 tptp.e20) (= @t35 tptp.e21) (= @t34 tptp.e22) (= @t33 tptp.e23) (= @t32 tptp.e21) (= @t31 tptp.e23) (= @t30 tptp.e20) (= @t29 tptp.e22) (= @t28 tptp.e22) (= @t27 tptp.e20) (= @t26 tptp.e23) (= @t25 tptp.e21) (= @t24 tptp.e23) (= @t23 tptp.e22) (= @t22 tptp.e21) (= @t21 tptp.e20))) % 0.38/0.58 (assume @p6 @t102) % 0.38/0.58 (assume @p7 true) % 0.38/0.58 (step @p8 :rule and_elim :premises (@p2) :args (2)) % 0.38/0.58 (step @p9 :rule and_elim :premises (@p5) :args (0)) % 0.38/0.58 (step @p10 :rule symm :premises (@p9)) % 0.38/0.58 (step @p11 :rule eq-symm :args (@t38 tptp.e13)) % 0.38/0.58 (step @p12 :rule eq-symm :args (@t40 tptp.e12)) % 0.38/0.58 (step @p13 :rule eq-symm :args (@t42 tptp.e11)) % 0.38/0.58 (step @p14 :rule eq-symm :args (@t44 tptp.e10)) % 0.38/0.58 (step @p15 :rule eq-symm :args (@t46 tptp.e23)) % 0.38/0.58 (step @p16 :rule eq-symm :args (@t48 tptp.e22)) % 0.38/0.58 (step @p17 :rule eq-symm :args (@t50 tptp.e21)) % 0.38/0.58 (step @p18 :rule eq-symm :args (@t52 tptp.e20)) % 0.38/0.58 (step @p19 :rule refl :args (@t53)) % 0.38/0.58 (step @p20 :rule refl :args (@t54)) % 0.38/0.58 (step @p21 :rule refl :args (@t55)) % 0.38/0.58 (step @p22 :rule refl :args (@t56)) % 0.38/0.58 (step @p23 :rule refl :args (@t57)) % 0.38/0.58 (step @p24 :rule refl :args (@t59)) % 0.38/0.58 (step @p25 :rule refl :args (@t60)) % 0.38/0.58 (step @p26 :rule refl :args (@t61)) % 0.38/0.58 (step @p27 :rule refl :args (@t62)) % 0.38/0.58 (step @p28 :rule refl :args (@t63)) % 0.38/0.58 (step @p29 :rule refl :args (@t64)) % 0.38/0.58 (step @p30 :rule refl :args (@t65)) % 0.38/0.58 (step @p31 :rule refl :args (@t66)) % 0.38/0.58 (step @p32 :rule refl :args (@t67)) % 0.38/0.58 (step @p33 :rule refl :args (@t68)) % 0.38/0.58 (step @p34 :rule refl :args (@t69)) % 0.38/0.58 (step @p35 :rule refl :args (@t71)) % 0.38/0.58 (step @p36 :rule refl :args (@t72)) % 0.38/0.58 (step @p37 :rule refl :args (@t73)) % 0.38/0.58 (step @p38 :rule refl :args (@t74)) % 0.38/0.58 (step @p39 :rule refl :args (@t75)) % 0.38/0.58 (step @p40 :rule refl :args (@t77)) % 0.38/0.58 (step @p41 :rule refl :args (@t78)) % 0.38/0.58 (step @p42 :rule refl :args (@t79)) % 0.38/0.58 (step @p43 :rule refl :args (@t80)) % 0.38/0.58 (step @p44 :rule refl :args (@t81)) % 0.38/0.58 (step @p45 :rule refl :args (@t83)) % 0.38/0.58 (step @p46 :rule refl :args (@t84)) % 0.38/0.58 (step @p47 :rule refl :args (@t85)) % 0.38/0.58 (step @p48 :rule refl :args (@t86)) % 0.38/0.58 (step @p49 :rule refl :args (@t87)) % 0.38/0.58 (step @p50 :rule refl :args (@t89)) % 0.38/0.58 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48 @p47 @p46 @p45 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0.38/0.58 (assume-push @p572 @t59) % 0.38/0.58 (assume-push @p573 @t116) % 0.38/0.58 (assume-push @p574 @t124) % 0.38/0.58 (assume-push @p575 @t129) % 0.38/0.58 (assume-push @p576 @t124) % 0.38/0.58 (assume-push @p577 @t59) % 0.38/0.58 (assume-push @p578 @t129) % 0.38/0.58 (assume-push @p579 @t116) % 0.38/0.58 (step @p270 :rule cong :premises (@p259) :args (@t58)) % 0.38/0.58 (step @p271 :rule symm :premises (@p261)) % 0.38/0.58 (step @p298 :rule cong :premises (@p575 @p575) :args (@t10)) % 0.38/0.58 (step @p299 :rule trans :premises (@p181 @p298 @p271 @p270)) % 0.38/0.58 (step-pop @p580 :rule scope :premises (@p299)) % 0.38/0.58 (step-pop @p581 :rule scope :premises (@p580)) % 0.38/0.58 (step-pop @p582 :rule scope :premises (@p581)) % 0.38/0.58 (step-pop @p583 :rule scope :premises (@p582)) % 0.38/0.58 (step @p300 :rule process_scope :premises (@p583) :args (@t105)) % 0.38/0.58 (step @p305 :rule and_intro :premises (@p260 @p261 @p575 @p181)) % 0.38/0.58 (step @p306 :rule modus_ponens :premises (@p305 @p300)) % 0.38/0.58 (step-pop @p584 :rule scope :premises (@p306)) % 0.38/0.58 (step-pop @p585 :rule scope :premises (@p584)) % 0.38/0.58 (step-pop @p586 :rule scope :premises (@p585)) % 0.38/0.58 (step-pop @p587 :rule scope :premises (@p586)) % 0.38/0.58 (step @p307 :rule process_scope :premises (@p587) :args (@t105)) % 0.38/0.58 (step @p312 :rule implies_elim :premises (@p307)) % 0.38/0.58 (step @p313 :rule cnf_and_neg :args (@t130)) % 0.38/0.58 (step @p314 :rule resolution :premises (@p313 @p312) :args (true @t130)) % 0.38/0.58 (step @p315 :rule reordering :premises (@p314) :args ((or @t105 @t119 @t128 (not @t129) @t127))) % 0.38/0.58 (step @p316 :rule and_elim :premises (@p98) :args (34)) % 0.38/0.58 (step @p317 :rule and_elim :premises (@p2) :args (1)) % 0.38/0.58 (step @p318 :rule refl :args (@t132)) % 0.38/0.58 (step @p319 :rule refl :args (@t134)) % 0.38/0.58 (step @p320 :rule refl :args (@t136)) % 0.38/0.58 (step @p321 :rule refl :args (@t138)) % 0.38/0.58 (step @p322 :rule refl :args (@t139)) % 0.38/0.58 (step @p323 :rule refl :args (@t141)) % 0.38/0.58 (step @p324 :rule bool-double-not-elim :args (@t3)) % 0.38/0.58 (step @p325 :rule nary_cong :premises (@p324 @p323 @p322 @p321 @p320 @p319 @p318) :args ((or (not @t4) @t141 @t139 @t138 @t136 @t134 @t132))) % 0.38/0.58 (assume-push @p588 @t140) % 0.38/0.58 (assume-push @p589 @t107) % 0.38/0.58 (assume-push @p590 @t142) % 0.38/0.58 (assume-push @p591 @t4) % 0.38/0.58 (step @p330 :rule evaluate :args (@t143)) % 0.38/0.58 (step @p331 :rule symm :premises (@p589)) % 0.38/0.58 (step @p332 :rule trans :premises (@p590 @p331 @p10)) % 0.38/0.58 (step @p333 :rule symm :premises (@p332)) % 0.38/0.58 (step @p334 :rule trans :premises (@p10 @p333)) % 0.38/0.58 (step @p335 :rule true_intro :premises (@p334)) % 0.38/0.58 (step @p336 :rule false_intro :premises (@p317)) % 0.38/0.58 (step @p337 :rule symm :premises (@p336)) % 0.38/0.58 (step @p338 :rule trans :premises (@p337 @p335)) % 0.38/0.58 (step @p339 false :rule eq_resolve :premises (@p338 @p330)) % 0.38/0.58 (step-pop @p592 :rule scope :premises (@p339)) % 0.38/0.58 (step-pop @p593 :rule scope :premises (@p592)) % 0.38/0.58 (step-pop @p594 :rule scope :premises (@p593)) % 0.38/0.58 (step-pop @p595 :rule scope :premises (@p594)) % 0.38/0.58 (step @p340 :rule process_scope :premises (@p595) :args (false)) % 0.38/0.58 (assume-push @p596 @t4) % 0.38/0.58 (assume-push @p597 @t140) % 0.38/0.58 (assume-push @p598 @t107) % 0.38/0.58 (assume-push @p599 @t137) % 0.38/0.58 (assume-push @p600 @t135) % 0.38/0.58 (assume-push @p601 @t133) % 0.38/0.58 (assume-push @p602 @t131) % 0.38/0.58 (assume-push @p603 @t107) % 0.38/0.58 (assume-push @p604 @t135) % 0.38/0.58 (assume-push @p605 @t131) % 0.38/0.58 (assume-push @p606 @t137) % 0.38/0.58 (assume-push @p607 @t133) % 0.38/0.58 (step @p357 :rule symm :premises (@p99)) % 0.38/0.58 (step @p358 :rule symm :premises (@p598)) % 0.38/0.58 (step @p359 :rule cong :premises (@p358) :args (@t44)) % 0.38/0.58 (step @p360 :rule symm :premises (@p599)) % 0.38/0.58 (step @p361 :rule trans :premises (@p360 @p101 @p359)) % 0.38/0.58 (step @p362 :rule cong :premises (@p361) :args (@t48)) % 0.38/0.58 (step @p363 :rule trans :premises (@p316 @p362 @p357 @p598)) % 0.38/0.58 (step-pop @p608 :rule scope :premises (@p363)) % 0.38/0.58 (step-pop @p609 :rule scope :premises (@p608)) % 0.38/0.58 (step-pop @p610 :rule scope :premises (@p609)) % 0.38/0.58 (step-pop @p611 :rule scope :premises (@p610)) % 0.38/0.58 (step-pop @p612 :rule scope :premises (@p611)) % 0.38/0.58 (step @p364 :rule process_scope :premises (@p612) :args (@t142)) % 0.38/0.58 (step @p370 :rule and_intro :premises (@p598 @p99 @p101 @p599 @p316)) % 0.38/0.58 (step @p371 :rule modus_ponens :premises (@p370 @p364)) % 0.38/0.58 (step @p372 :rule and_intro :premises (@p10 @p598 @p371 @p317)) % 0.38/0.58 (step-pop @p613 :rule scope :premises (@p372)) % 0.38/0.58 (step-pop @p614 :rule scope :premises (@p613)) % 0.38/0.58 (step-pop @p615 :rule scope :premises (@p614)) % 0.38/0.58 (step-pop @p616 :rule scope :premises (@p615)) % 0.38/0.58 (step-pop @p617 :rule scope :premises (@p616)) % 0.38/0.58 (step-pop @p618 :rule scope :premises (@p617)) % 0.38/0.58 (step-pop @p619 :rule scope :premises (@p618)) % 0.38/0.58 (step @p373 :rule process_scope :premises (@p619) :args (@t144)) % 0.38/0.58 (step @p381 :rule implies_elim :premises (@p373)) % 0.38/0.58 (step @p382 :rule resolution :premises (@p381 @p340) :args (true @t144)) % 0.38/0.58 (step @p383 :rule not_and :premises (@p382)) % 0.38/0.58 (step @p384 :rule eq_resolve :premises (@p383 @p325)) % 0.38/0.58 (step @p385 :rule chain_m_resolution :premises (@p384 @p317 @p10 @p258 @p99 @p316 @p101) :args (@t138 (@list true false false false false false) (@list @t3 @t140 @t107 @t135 @t133 @t131))) % 0.38/0.58 (step @p386 :rule and_elim :premises (@p218) :args (6)) % 0.38/0.58 (assume-push @p620 @t59) % 0.38/0.58 (assume-push @p621 @t120) % 0.38/0.58 (assume-push @p622 @t124) % 0.38/0.58 (assume-push @p623 @t145) % 0.38/0.58 (assume-push @p624 @t124) % 0.38/0.58 (assume-push @p625 @t59) % 0.38/0.58 (assume-push @p626 @t145) % 0.38/0.58 (assume-push @p627 @t120) % 0.38/0.58 (step @p270 :rule cong :premises (@p259) :args (@t58)) % 0.38/0.58 (step @p271 :rule symm :premises (@p261)) % 0.38/0.58 (step @p395 :rule cong :premises (@p623 @p623) :args (@t5)) % 0.38/0.58 (step @p396 :rule trans :premises (@p221 @p395 @p271 @p270)) % 0.38/0.58 (step-pop @p628 :rule scope :premises (@p396)) % 0.38/0.58 (step-pop @p629 :rule scope :premises (@p628)) % 0.38/0.58 (step-pop @p630 :rule scope :premises (@p629)) % 0.38/0.58 (step-pop @p631 :rule scope :premises (@p630)) % 0.38/0.58 (step @p397 :rule process_scope :premises (@p631) :args (@t105)) % 0.38/0.58 (step @p402 :rule and_intro :premises (@p260 @p261 @p623 @p221)) % 0.38/0.58 (step @p403 :rule modus_ponens :premises (@p402 @p397)) % 0.38/0.58 (step-pop @p632 :rule scope :premises (@p403)) % 0.38/0.58 (step-pop @p633 :rule scope :premises (@p632)) % 0.38/0.58 (step-pop @p634 :rule scope :premises (@p633)) % 0.38/0.58 (step-pop @p635 :rule scope :premises (@p634)) % 0.38/0.58 (step @p404 :rule process_scope :premises (@p635) :args (@t105)) % 0.38/0.58 (step @p409 :rule implies_elim :premises (@p404)) % 0.38/0.58 (step @p410 :rule cnf_and_neg :args (@t146)) % 0.38/0.58 (step @p411 :rule resolution :premises (@p410 @p409) :args (true @t146)) % 0.38/0.58 (step @p412 :rule reordering :premises (@p411) :args ((or @t105 @t123 @t128 (not @t145) @t127))) % 0.38/0.58 (step @p413 :rule chain_m_resolution :premises (@p412 @p261 @p260 @p221 @p386 @p385 @p315 @p261 @p260 @p181 @p289 @p261 @p260 @p143) :args (@t105 (@list false false false false true true false false false true false false false) (@list @t59 @t124 @t120 @t145 @t137 @t129 @t59 @t124 @t116 @t125 @t59 @t124 @t112))) % 0.38/0.58 (step @p414 :rule refl :args (@t109)) % 0.38/0.58 (step @p415 :rule refl :args (@t110)) % 0.38/0.58 (step @p416 :rule bool-double-not-elim :args (@t1)) % 0.38/0.58 (step @p417 :rule nary_cong :premises (@p416 @p323 @p322 @p415 @p320 @p414 @p318) :args ((or (not @t2) @t141 @t139 @t110 @t136 @t109 @t132))) % 0.38/0.58 (assume-push @p636 @t140) % 0.38/0.58 (assume-push @p637 @t107) % 0.38/0.58 (assume-push @p638 @t147) % 0.38/0.58 (assume-push @p639 @t2) % 0.38/0.58 (step @p330 :rule evaluate :args (@t143)) % 0.38/0.58 (step @p422 :rule symm :premises (@p637)) % 0.38/0.58 (step @p423 :rule trans :premises (@p638 @p422 @p10)) % 0.38/0.58 (step @p424 :rule symm :premises (@p423)) % 0.38/0.58 (step @p425 :rule trans :premises (@p10 @p424)) % 0.38/0.58 (step @p426 :rule true_intro :premises (@p425)) % 0.38/0.58 (step @p427 :rule false_intro :premises (@p8)) % 0.38/0.58 (step @p428 :rule symm :premises (@p427)) % 0.38/0.58 (step @p429 :rule trans :premises (@p428 @p426)) % 0.38/0.58 (step @p430 false :rule eq_resolve :premises (@p429 @p330)) % 0.38/0.58 (step-pop @p640 :rule scope :premises (@p430)) % 0.38/0.58 (step-pop @p641 :rule scope :premises (@p640)) % 0.38/0.58 (step-pop @p642 :rule scope :premises (@p641)) % 0.38/0.58 (step-pop @p643 :rule scope :premises (@p642)) % 0.38/0.58 (step @p431 :rule process_scope :premises (@p643) :args (false)) % 0.38/0.58 (assume-push @p644 @t2) % 0.38/0.58 (assume-push @p645 @t140) % 0.38/0.58 (assume-push @p646 @t107) % 0.38/0.58 (assume-push @p647 @t105) % 0.38/0.58 (assume-push @p648 @t135) % 0.38/0.58 (assume-push @p649 @t106) % 0.38/0.58 (assume-push @p650 @t131) % 0.38/0.58 (assume-push @p651 @t107) % 0.38/0.58 (assume-push @p652 @t135) % 0.38/0.58 (assume-push @p653 @t131) % 0.38/0.58 (assume-push @p654 @t105) % 0.38/0.58 (assume-push @p655 @t106) % 0.38/0.58 (step @p357 :rule symm :premises (@p99)) % 0.38/0.58 (step @p448 :rule symm :premises (@p646)) % 0.38/0.58 (step @p449 :rule cong :premises (@p448) :args (@t44)) % 0.38/0.58 (step @p450 :rule symm :premises (@p647)) % 0.38/0.58 (step @p451 :rule trans :premises (@p450 @p101 @p449)) % 0.38/0.58 (step @p452 :rule cong :premises (@p451) :args (@t46)) % 0.38/0.58 (step @p453 :rule trans :premises (@p100 @p452 @p357 @p646)) % 0.38/0.58 (step-pop @p656 :rule scope :premises (@p453)) % 0.38/0.58 (step-pop @p657 :rule scope :premises (@p656)) % 0.38/0.58 (step-pop @p658 :rule scope :premises (@p657)) % 0.38/0.58 (step-pop @p659 :rule scope :premises (@p658)) % 0.38/0.58 (step-pop @p660 :rule scope :premises (@p659)) % 0.38/0.58 (step @p454 :rule process_scope :premises (@p660) :args (@t147)) % 0.38/0.58 (step @p460 :rule and_intro :premises (@p646 @p99 @p101 @p647 @p100)) % 0.38/0.58 (step @p461 :rule modus_ponens :premises (@p460 @p454)) % 0.38/0.58 (step @p462 :rule and_intro :premises (@p10 @p646 @p461 @p8)) % 0.38/0.58 (step-pop @p661 :rule scope :premises (@p462)) % 0.38/0.58 (step-pop @p662 :rule scope :premises (@p661)) % 0.38/0.58 (step-pop @p663 :rule scope :premises (@p662)) % 0.38/0.58 (step-pop @p664 :rule scope :premises (@p663)) % 0.38/0.58 (step-pop @p665 :rule scope :premises (@p664)) % 0.38/0.58 (step-pop @p666 :rule scope :premises (@p665)) % 0.38/0.58 (step-pop @p667 :rule scope :premises (@p666)) % 0.38/0.58 (step @p463 :rule process_scope :premises (@p667) :args (@t148)) % 0.38/0.58 (step @p471 :rule implies_elim :premises (@p463)) % 0.38/0.58 (step @p472 :rule resolution :premises (@p471 @p431) :args (true @t148)) % 0.38/0.58 (step @p473 :rule not_and :premises (@p472)) % 0.38/0.58 (step @p474 :rule eq_resolve :premises (@p473 @p417)) % 0.38/0.58 (step @p475 false :rule chain_m_resolution :premises (@p474 @p413 @p258 @p101 @p100 @p99 @p10 @p8) :args (false (@list false false false false false false true) (@list @t105 @t107 @t131 @t106 @t135 @t140 @t1))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------