%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX207-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:07:22 AM UTC 2026 % Result : Unsatisfiable 0.63s 0.88s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX207-1 : TPTP v9.3.0. Released v9.3.0. % 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 : n016.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 : Tue Jun 2 23:08:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.88 % SZS status Unsatisfiable % 0.63/0.88 % SZS output start Proof % 0.63/0.89 ( % 0.63/0.89 (declare-sort $$unsorted 0) % 0.63/0.89 (declare-const tptp.eq2 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.linC (-> $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.c2 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.btrue $$unsorted) % 0.63/0.89 (declare-const tptp.a $$unsorted) % 0.63/0.89 (declare-const tptp.b $$unsorted) % 0.63/0.89 (declare-const tptp.impl (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.bfalse $$unsorted) % 0.63/0.89 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.nil $$unsorted) % 0.63/0.89 (declare-const tptp.eq4 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.append (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.linP (-> $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.eq3 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.pE $$unsorted) % 0.63/0.89 (declare-const tptp.aP (-> $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.eq5 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.unambig (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.bP (-> $$unsorted $$unsorted)) % 0.63/0.89 (declare-const tptp.pB $$unsorted) % 0.63/0.89 (declare-const tptp.pA $$unsorted) % 0.63/0.89 (define @t1 () (@var "Q" $$unsorted)) % 0.63/0.89 (define @t2 () (tptp.impl tptp.btrue @t1)) % 0.63/0.89 (define @t3 () (@list @t1)) % 0.63/0.89 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.63/0.89 (define @t5 () (@var "Y" $$unsorted)) % 0.63/0.89 (define @t6 () (tptp.append tptp.nil @t5)) % 0.63/0.89 (define @t7 () (forall (@list @t5) (= @t6 @t5))) % 0.63/0.89 (define @t8 () (@var "Xs" $$unsorted)) % 0.63/0.89 (define @t9 () (@var "Z" $$unsorted)) % 0.63/0.89 (define @t10 () (tptp.cons tptp.a tptp.nil)) % 0.63/0.89 (define @t11 () (@var "P" $$unsorted)) % 0.63/0.89 (define @t12 () (tptp.linP @t11)) % 0.63/0.89 (define @t13 () (tptp.cons tptp.b tptp.nil)) % 0.63/0.89 (define @t14 () (tptp.linP @t1)) % 0.63/0.89 (define @t15 () (tptp.linP tptp.pA)) % 0.63/0.89 (define @t16 () (tptp.linP tptp.pE)) % 0.63/0.89 (define @t17 () (@var "X" $$unsorted)) % 0.63/0.89 (define @t18 () (tptp.unambig @t17 @t5)) % 0.63/0.89 (define @t19 () (@list @t17 @t5)) % 0.63/0.89 (define @t20 () (tptp.eq3 tptp.pA tptp.pE)) % 0.63/0.89 (define @t21 () (tptp.eq3 tptp.pE tptp.pA)) % 0.63/0.89 (define @t22 () (tptp.eq3 @t17 @t5)) % 0.63/0.89 (define @t23 () (tptp.aP @t5)) % 0.63/0.89 (define @t24 () (tptp.aP @t17)) % 0.63/0.89 (define @t25 () (forall @t19 (= (tptp.eq3 @t24 @t23) @t22))) % 0.63/0.89 (define @t26 () (tptp.bP @t5)) % 0.63/0.89 (define @t27 () (tptp.bP @t17)) % 0.63/0.89 (define @t28 () (@list @t17)) % 0.63/0.89 (define @t29 () (@var "X2" $$unsorted)) % 0.63/0.89 (define @t30 () (tptp.eq4 (tptp.c2 @t17 @t5) (tptp.c2 @t9 @t29))) % 0.63/0.89 (define @t31 () (tptp.eq3 @t17 @t9)) % 0.63/0.89 (define @t32 () (not (= @t31 tptp.bfalse))) % 0.63/0.89 (define @t33 () (or @t32 (= @t30 tptp.bfalse))) % 0.63/0.89 (define @t34 () (@list @t17 @t9 @t5 @t29)) % 0.63/0.89 (define @t35 () (forall @t34 @t33)) % 0.63/0.89 (define @t36 () (tptp.eq @t17 @t17)) % 0.63/0.89 (define @t37 () (forall @t28 (= @t36 tptp.btrue))) % 0.63/0.89 (define @t38 () (tptp.eq2 @t17 @t17)) % 0.63/0.89 (define @t39 () (forall @t28 (= @t38 tptp.btrue))) % 0.63/0.89 (define @t40 () (tptp.eq5 @t17 @t17)) % 0.63/0.89 (define @t41 () (forall @t28 (= @t40 tptp.btrue))) % 0.63/0.89 (define @t42 () (tptp.cons @t17 @t5)) % 0.63/0.89 (define @t43 () (tptp.eq @t42 (tptp.cons @t9 @t29))) % 0.63/0.89 (define @t44 () (tptp.eq2 @t17 @t9)) % 0.63/0.89 (define @t45 () (= @t43 (tptp.eq @t5 @t29))) % 0.63/0.89 (define @t46 () (not (= @t44 tptp.btrue))) % 0.63/0.89 (define @t47 () (or @t46 @t45)) % 0.63/0.89 (define @t48 () (forall @t34 @t47)) % 0.63/0.89 (define @t49 () (tptp.eq5 @t18 tptp.bfalse)) % 0.63/0.89 (define @t50 () (not (= @t49 tptp.btrue))) % 0.63/0.89 (define @t51 () (forall @t19 @t50)) % 0.63/0.89 (define @t52 () (tptp.append @t15 @t10)) % 0.63/0.89 (define @t53 () (tptp.aP tptp.pE)) % 0.63/0.89 (define @t54 () (tptp.linC (tptp.c2 tptp.pA tptp.pA))) % 0.63/0.89 (define @t55 () (tptp.append tptp.nil @t52)) % 0.63/0.89 (define @t56 () (tptp.cons tptp.a @t55)) % 0.63/0.89 (define @t57 () (tptp.eq @t56 @t56)) % 0.63/0.89 (define @t58 () (= @t57 (tptp.eq @t55 @t55))) % 0.63/0.89 (define @t59 () (= tptp.btrue (tptp.eq2 tptp.a tptp.a))) % 0.63/0.89 (define @t60 () (not @t59)) % 0.63/0.89 (define @t61 () (or @t60 @t58)) % 0.63/0.89 (define @t62 () (@list false false)) % 0.63/0.89 (define @t63 () (tptp.aP tptp.pA)) % 0.63/0.89 (define @t64 () (tptp.linP @t63)) % 0.63/0.89 (define @t65 () (tptp.linP @t53)) % 0.63/0.89 (define @t66 () (tptp.append tptp.nil @t10)) % 0.63/0.89 (define @t67 () (tptp.eq3 @t53 @t63)) % 0.63/0.89 (define @t68 () (= @t67 @t21)) % 0.63/0.89 (define @t69 () (@list false)) % 0.63/0.89 (define @t70 () (@list @t25)) % 0.63/0.89 (define @t71 () (tptp.c2 @t63 tptp.pA)) % 0.63/0.89 (define @t72 () (tptp.c2 @t53 @t53)) % 0.63/0.89 (define @t73 () (tptp.eq4 @t72 @t71)) % 0.63/0.89 (define @t74 () (= tptp.bfalse @t73)) % 0.63/0.89 (define @t75 () (= tptp.bfalse @t67)) % 0.63/0.89 (define @t76 () (not @t75)) % 0.63/0.89 (define @t77 () (or @t76 @t74)) % 0.63/0.89 (define @t78 () (tptp.eq3 @t63 @t53)) % 0.63/0.89 (define @t79 () (= @t78 @t20)) % 0.63/0.89 (define @t80 () (tptp.eq4 @t71 @t72)) % 0.63/0.89 (define @t81 () (= tptp.bfalse @t80)) % 0.63/0.89 (define @t82 () (= tptp.bfalse @t78)) % 0.63/0.89 (define @t83 () (not @t82)) % 0.63/0.89 (define @t84 () (or @t83 @t81)) % 0.63/0.89 (define @t85 () (@list @t72 @t71)) % 0.63/0.89 (define @t86 () (tptp.append @t66 @t65)) % 0.63/0.89 (define @t87 () (tptp.cons tptp.a @t86)) % 0.63/0.89 (define @t88 () (tptp.eq @t87 @t87)) % 0.63/0.89 (define @t89 () (= @t88 (tptp.eq @t86 @t86))) % 0.63/0.89 (define @t90 () (or @t60 @t89)) % 0.63/0.89 (define @t91 () (tptp.eq5 tptp.bfalse tptp.bfalse)) % 0.63/0.89 (define @t92 () (= tptp.btrue @t91)) % 0.63/0.89 (define @t93 () (not @t92)) % 0.63/0.89 (define @t94 () (tptp.unambig @t72 @t71)) % 0.63/0.89 (define @t95 () (= tptp.btrue (tptp.eq5 @t94 tptp.bfalse))) % 0.63/0.89 (define @t96 () (tptp.impl tptp.btrue @t80)) % 0.63/0.89 (define @t97 () (= @t80 @t96)) % 0.63/0.89 (define @t98 () (not @t97)) % 0.63/0.89 (define @t99 () (not @t89)) % 0.63/0.89 (define @t100 () (tptp.linC @t72)) % 0.63/0.89 (define @t101 () (tptp.linC @t71)) % 0.63/0.89 (define @t102 () (tptp.eq @t101 @t100)) % 0.63/0.89 (define @t103 () (tptp.impl @t102 @t80)) % 0.63/0.89 (define @t104 () (tptp.unambig @t71 @t72)) % 0.63/0.89 (define @t105 () (= @t104 @t103)) % 0.63/0.89 (define @t106 () (not @t105)) % 0.63/0.89 (define @t107 () (= @t94 (tptp.impl (tptp.eq @t100 @t101) @t73))) % 0.63/0.89 (define @t108 () (not @t107)) % 0.63/0.89 (define @t109 () (tptp.append @t56 @t15)) % 0.63/0.89 (define @t110 () (= @t109 (tptp.cons tptp.a (tptp.append @t55 @t15)))) % 0.63/0.89 (define @t111 () (not @t110)) % 0.63/0.89 (define @t112 () (tptp.append tptp.nil @t64)) % 0.63/0.89 (define @t113 () (tptp.cons tptp.a @t112)) % 0.63/0.89 (define @t114 () (= (tptp.append @t10 @t64) @t113)) % 0.63/0.89 (define @t115 () (not @t114)) % 0.63/0.89 (define @t116 () (not @t74)) % 0.63/0.89 (define @t117 () (not @t81)) % 0.63/0.89 (define @t118 () (tptp.append @t15 @t64)) % 0.63/0.89 (define @t119 () (tptp.linC (tptp.c2 tptp.pA @t63))) % 0.63/0.89 (define @t120 () (= @t119 @t118)) % 0.63/0.89 (define @t121 () (not @t120)) % 0.63/0.89 (define @t122 () (= @t101 (tptp.append @t64 @t15))) % 0.63/0.89 (define @t123 () (not @t122)) % 0.63/0.89 (define @t124 () (tptp.append @t10 @t10)) % 0.63/0.89 (define @t125 () (tptp.cons tptp.a @t10)) % 0.63/0.89 (define @t126 () (tptp.append @t125 @t10)) % 0.63/0.89 (define @t127 () (= @t126 (tptp.cons tptp.a @t124))) % 0.63/0.89 (define @t128 () (not @t127)) % 0.63/0.89 (define @t129 () (tptp.cons tptp.a @t66)) % 0.63/0.89 (define @t130 () (tptp.append @t129 @t65)) % 0.63/0.89 (define @t131 () (= @t130 @t87)) % 0.63/0.89 (define @t132 () (not @t131)) % 0.63/0.89 (define @t133 () (= @t64 @t112)) % 0.63/0.89 (define @t134 () (not @t133)) % 0.63/0.89 (define @t135 () (not @t58)) % 0.63/0.89 (define @t136 () (tptp.eq @t54 @t54)) % 0.63/0.89 (define @t137 () (= tptp.btrue @t136)) % 0.63/0.89 (define @t138 () (not @t137)) % 0.63/0.89 (define @t139 () (= @t100 (tptp.append @t65 @t65))) % 0.63/0.89 (define @t140 () (not @t139)) % 0.63/0.89 (define @t141 () (= @t52 @t55)) % 0.63/0.89 (define @t142 () (not @t141)) % 0.63/0.89 (define @t143 () (tptp.append @t16 @t10)) % 0.63/0.89 (define @t144 () (tptp.append @t10 @t143)) % 0.63/0.89 (define @t145 () (= @t65 @t144)) % 0.63/0.89 (define @t146 () (not @t145)) % 0.63/0.89 (define @t147 () (tptp.append @t10 @t52)) % 0.63/0.89 (define @t148 () (= @t147 @t56)) % 0.63/0.89 (define @t149 () (not @t148)) % 0.63/0.89 (define @t150 () (tptp.append @t15 @t15)) % 0.63/0.89 (define @t151 () (= @t54 @t150)) % 0.63/0.89 (define @t152 () (not @t151)) % 0.63/0.89 (define @t153 () (= @t64 @t147)) % 0.63/0.89 (define @t154 () (not @t153)) % 0.63/0.89 (define @t155 () (= @t124 @t129)) % 0.63/0.89 (define @t156 () (not @t155)) % 0.63/0.89 (define @t157 () (= @t10 @t66)) % 0.63/0.89 (define @t158 () (not @t157)) % 0.63/0.89 (define @t159 () (= tptp.nil @t16)) % 0.63/0.89 (define @t160 () (not @t159)) % 0.63/0.89 (define @t161 () (= @t10 @t15)) % 0.63/0.89 (define @t162 () (not @t161)) % 0.63/0.89 (define @t163 () (not @t95)) % 0.63/0.89 (define @t164 () (tptp.append @t16 @t15)) % 0.63/0.89 (define @t165 () (tptp.append @t65 @t15)) % 0.63/0.89 (define @t166 () (tptp.eq @t119 @t119)) % 0.63/0.89 (define @t167 () (tptp.eq @t101 @t101)) % 0.63/0.89 (define @t168 () (tptp.eq5 @t104 tptp.bfalse)) % 0.63/0.89 (define @t169 () (= tptp.btrue @t168)) % 0.63/0.89 (define @t170 () (and @t93 @t92)) % 0.63/0.89 (assume @p1 @t4) % 0.63/0.89 (assume @p2 (forall @t3 (= (tptp.impl tptp.bfalse @t1) tptp.btrue))) % 0.63/0.89 (assume @p3 @t7) % 0.63/0.89 (assume @p4 (forall (@list @t9 @t8 @t5) (= (tptp.append (tptp.cons @t9 @t8) @t5) (tptp.cons @t9 (tptp.append @t8 @t5))))) % 0.63/0.89 (assume @p5 (forall (@list @t11) (= (tptp.linP (tptp.aP @t11)) (tptp.append @t10 (tptp.append @t12 @t10))))) % 0.63/0.89 (assume @p6 (forall @t3 (= (tptp.linP (tptp.bP @t1)) (tptp.append @t13 (tptp.append @t14 @t13))))) % 0.63/0.89 (assume @p7 (= @t15 @t10)) % 0.63/0.89 (assume @p8 (= (tptp.linP tptp.pB) @t13)) % 0.63/0.89 (assume @p9 (= @t16 tptp.nil)) % 0.63/0.89 (assume @p10 (forall (@list @t11 @t1) (= (tptp.linC (tptp.c2 @t11 @t1)) (tptp.append @t12 @t14)))) % 0.63/0.89 (assume @p11 (forall @t19 (= @t18 (tptp.impl (tptp.eq (tptp.linC @t17) (tptp.linC @t5)) (tptp.eq4 @t17 @t5))))) % 0.63/0.89 (assume @p12 (= (tptp.eq2 tptp.a tptp.b) tptp.bfalse)) % 0.63/0.89 (assume @p13 (= (tptp.eq2 tptp.b tptp.a) tptp.bfalse)) % 0.63/0.89 (assume @p14 (= (tptp.eq3 tptp.pA tptp.pB) tptp.bfalse)) % 0.63/0.89 (assume @p15 (= @t20 tptp.bfalse)) % 0.63/0.89 (assume @p16 (= (tptp.eq3 tptp.pB tptp.pA) tptp.bfalse)) % 0.63/0.89 (assume @p17 (= (tptp.eq3 tptp.pB tptp.pE) tptp.bfalse)) % 0.63/0.89 (assume @p18 (= @t21 tptp.bfalse)) % 0.63/0.89 (assume @p19 (= (tptp.eq3 tptp.pE tptp.pB) tptp.bfalse)) % 0.63/0.89 (assume @p20 (= (tptp.eq5 tptp.bfalse tptp.btrue) tptp.bfalse)) % 0.63/0.89 (assume @p21 (= (tptp.eq5 tptp.btrue tptp.bfalse) tptp.bfalse)) % 0.63/0.89 (assume @p22 @t25) % 0.63/0.89 (assume @p23 (forall @t19 (= (tptp.eq3 @t27 @t26) @t22))) % 0.63/0.89 (assume @p24 (forall @t19 (= (tptp.eq3 @t24 @t26) tptp.bfalse))) % 0.63/0.89 (assume @p25 (forall @t28 (= (tptp.eq3 @t24 tptp.pA) tptp.bfalse))) % 0.63/0.89 (assume @p26 (forall @t28 (= (tptp.eq3 @t24 tptp.pB) tptp.bfalse))) % 0.63/0.89 (assume @p27 (forall @t28 (= (tptp.eq3 @t24 tptp.pE) tptp.bfalse))) % 0.63/0.89 (assume @p28 (forall @t19 (= (tptp.eq3 @t27 @t23) tptp.bfalse))) % 0.63/0.89 (assume @p29 (forall @t28 (= (tptp.eq3 @t27 tptp.pA) tptp.bfalse))) % 0.63/0.89 (assume @p30 (forall @t28 (= (tptp.eq3 @t27 tptp.pB) tptp.bfalse))) % 0.63/0.89 (assume @p31 (forall @t28 (= (tptp.eq3 @t27 tptp.pE) tptp.bfalse))) % 0.63/0.89 (assume @p32 (forall @t28 (= (tptp.eq3 tptp.pA @t24) tptp.bfalse))) % 0.63/0.89 (assume @p33 (forall @t28 (= (tptp.eq3 tptp.pA @t27) tptp.bfalse))) % 0.63/0.89 (assume @p34 (forall @t28 (= (tptp.eq3 tptp.pB @t24) tptp.bfalse))) % 0.63/0.89 (assume @p35 (forall @t28 (= (tptp.eq3 tptp.pB @t27) tptp.bfalse))) % 0.63/0.89 (assume @p36 (forall @t28 (= (tptp.eq3 tptp.pE @t24) tptp.bfalse))) % 0.63/0.89 (assume @p37 (forall @t28 (= (tptp.eq3 tptp.pE @t27) tptp.bfalse))) % 0.63/0.89 (assume @p38 @t35) % 0.63/0.89 (assume @p39 (forall @t34 (or (not (= @t31 tptp.btrue)) (= @t30 (tptp.eq3 @t5 @t29))))) % 0.63/0.89 (assume @p40 @t37) % 0.63/0.89 (assume @p41 @t39) % 0.63/0.89 (assume @p42 (forall @t28 (= (tptp.eq3 @t17 @t17) tptp.btrue))) % 0.63/0.89 (assume @p43 (forall @t28 (= (tptp.eq4 @t17 @t17) tptp.btrue))) % 0.63/0.89 (assume @p44 @t41) % 0.63/0.89 (assume @p45 (forall @t34 (or (not (= @t44 tptp.bfalse)) (= @t43 tptp.bfalse)))) % 0.63/0.89 (assume @p46 @t48) % 0.63/0.89 (assume @p47 (forall @t19 (= (tptp.eq tptp.nil @t42) tptp.bfalse))) % 0.63/0.89 (assume @p48 (forall @t19 (= (tptp.eq @t42 tptp.nil) tptp.bfalse))) % 0.63/0.89 (assume @p49 @t51) % 0.63/0.89 (step @p50 :rule symm :premises (@p7)) % 0.63/0.89 (step @p51 :rule symm :premises (@p9)) % 0.63/0.89 (step @p52 :rule eq-symm :args (@t6 @t5)) % 0.63/0.89 (step @p53 :rule cong :premises (@p52) :args (@t7)) % 0.63/0.89 (step @p54 :rule eq_resolve :premises (@p3 @p53)) % 0.63/0.89 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t10))) % 0.63/0.89 (step @p56 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.nil @t10))) % 0.63/0.89 (step @p57 :rule instantiate :premises (@p5) :args ((@list tptp.pA))) % 0.63/0.89 (step @p58 :rule instantiate :premises (@p10) :args ((@list tptp.pA tptp.pA))) % 0.63/0.89 (step @p59 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.nil @t52))) % 0.63/0.89 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@p361 @t127) % 0.63/0.89 (assume-push @p362 @t122) % 0.63/0.89 (assume-push @p363 @t120) % 0.63/0.89 (assume-push @p364 @t81) % 0.63/0.89 (assume-push @p365 @t74) % 0.63/0.89 (assume-push @p366 @t114) % 0.63/0.89 (assume-push @p367 @t110) % 0.63/0.89 (assume-push @p368 @t107) % 0.63/0.89 (assume-push @p369 @t105) % 0.63/0.89 (assume-push @p370 @t89) % 0.63/0.89 (assume-push @p371 @t97) % 0.63/0.89 (assume-push @p372 @t163) % 0.63/0.89 (assume-push @p373 @t92) % 0.63/0.89 (step @p176 :rule false_intro :premises (@p139)) % 0.63/0.89 (step @p177 :rule refl :args (tptp.bfalse)) % 0.63/0.89 (step @p178 :rule symm :premises (@p125)) % 0.63/0.89 (step @p179 :rule symm :premises (@p122)) % 0.63/0.89 (step @p180 :rule trans :premises (@p179 @p107)) % 0.63/0.89 (step @p181 :rule symm :premises (@p84)) % 0.63/0.89 (step @p182 :rule refl :args (@t15)) % 0.63/0.89 (step @p183 :rule symm :premises (@p57)) % 0.63/0.89 (step @p184 :rule symm :premises (@p59)) % 0.63/0.89 (step @p185 :rule trans :premises (@p184 @p183)) % 0.63/0.89 (step @p186 :rule cong :premises (@p185 @p182) :args (@t109)) % 0.63/0.89 (step @p187 :rule symm :premises (@p124)) % 0.63/0.89 (step @p188 :rule symm :premises (@p55)) % 0.63/0.89 (step @p189 :rule cong :premises (@p9 @p7) :args (@t164)) % 0.63/0.89 (step @p190 :rule refl :args (@t16)) % 0.63/0.89 (step @p191 :rule cong :premises (@p190 @p50) :args (@t143)) % 0.63/0.89 (step @p192 :rule trans :premises (@p191 @p189 @p188)) % 0.63/0.89 (step @p193 :rule cong :premises (@p50 @p192) :args (@t144)) % 0.63/0.89 (step @p194 :rule trans :premises (@p60 @p193 @p61)) % 0.63/0.89 (step @p195 :rule cong :premises (@p194 @p182) :args (@t165)) % 0.63/0.89 (step @p196 :rule symm :premises (@p60)) % 0.63/0.89 (step @p197 :rule symm :premises (@p193)) % 0.63/0.89 (step @p198 :rule refl :args (@t10)) % 0.63/0.89 (step @p199 :rule cong :premises (@p50 @p198) :args (@t124)) % 0.63/0.89 (step @p200 :rule symm :premises (@p56)) % 0.63/0.89 (step @p201 :rule refl :args (tptp.a)) % 0.63/0.89 (step @p202 :rule cong :premises (@p201 @p55) :args (@t125)) % 0.63/0.89 (step @p203 :rule trans :premises (@p202 @p200 @p199 @p197 @p196)) % 0.63/0.89 (step @p204 :rule cong :premises (@p203 @p50) :args (@t126)) % 0.63/0.89 (step @p205 :rule symm :premises (@p83)) % 0.63/0.89 (step @p206 :rule symm :premises (@p199)) % 0.63/0.89 (step @p207 :rule symm :premises (@p61)) % 0.63/0.89 (step @p208 :rule trans :premises (@p207 @p206)) % 0.63/0.89 (step @p209 :rule cong :premises (@p201 @p208) :args (@t56)) % 0.63/0.89 (step @p210 :rule trans :premises (@p60 @p193)) % 0.63/0.89 (step @p211 :rule cong :premises (@p188 @p210) :args (@t86)) % 0.63/0.89 (step @p212 :rule trans :premises (@p211 @p59 @p209 @p205 @p204 @p195)) % 0.63/0.89 (step @p213 :rule cong :premises (@p201 @p212) :args (@t87)) % 0.63/0.89 (step @p214 :rule trans :premises (@p213 @p187 @p186 @p181)) % 0.63/0.89 (step @p215 :rule symm :premises (@p62)) % 0.63/0.89 (step @p216 :rule refl :args (@t65)) % 0.63/0.89 (step @p217 :rule trans :premises (@p200 @p199 @p197 @p196)) % 0.63/0.89 (step @p218 :rule cong :premises (@p217 @p216) :args (@t130)) % 0.63/0.89 (step @p219 :rule symm :premises (@p82)) % 0.63/0.89 (step @p220 :rule trans :premises (@p219 @p218 @p215)) % 0.63/0.89 (step @p221 :rule cong :premises (@p220 @p214) :args (@t88)) % 0.63/0.89 (step @p222 :rule symm :premises (@p211)) % 0.63/0.89 (step @p223 :rule symm :premises (@p81)) % 0.63/0.89 (step @p224 :rule trans :premises (@p223 @p57 @p222)) % 0.63/0.89 (step @p225 :rule cong :premises (@p201 @p224) :args (@t113)) % 0.63/0.89 (step @p226 :rule refl :args (@t64)) % 0.63/0.89 (step @p227 :rule cong :premises (@p7 @p226) :args (@t118)) % 0.63/0.89 (step @p228 :rule trans :premises (@p85 @p227 @p123 @p225)) % 0.63/0.89 (step @p229 :rule cong :premises (@p228 @p228) :args (@t166)) % 0.63/0.89 (step @p230 :rule trans :premises (@p229 @p221)) % 0.63/0.89 (step @p231 :rule symm :premises (@p229)) % 0.63/0.89 (step @p232 :rule symm :premises (@p214)) % 0.63/0.89 (step @p233 :rule cong :premises (@p232 @p232) :args (@t167)) % 0.63/0.89 (step @p234 :rule trans :premises (@p233 @p231)) % 0.63/0.89 (step @p235 :rule symm :premises (@p213)) % 0.63/0.89 (step @p236 :rule symm :premises (@p186)) % 0.63/0.89 (step @p237 :rule trans :premises (@p84 @p236 @p124 @p235 @p219 @p218 @p215)) % 0.63/0.89 (step @p238 :rule symm :premises (@p237)) % 0.63/0.89 (step @p239 :rule refl :args (@t101)) % 0.63/0.89 (step @p240 :rule cong :premises (@p239 @p238) :args (@t102)) % 0.63/0.89 (step @p241 :rule trans :premises (@p240 @p234 @p230)) % 0.63/0.89 (step @p242 :rule cong :premises (@p241 @p180) :args (@t103)) % 0.63/0.89 (step @p243 :rule trans :premises (@p126 @p242 @p178)) % 0.63/0.89 (step @p244 :rule cong :premises (@p243 @p177) :args (@t168)) % 0.63/0.89 (step @p245 :rule refl :args (tptp.btrue)) % 0.63/0.89 (step @p246 :rule cong :premises (@p245 @p244) :args (@t169)) % 0.63/0.89 (step @p247 :rule trans :premises (@p246 @p176)) % 0.63/0.89 (step @p248 :rule symm :premises (@p244)) % 0.63/0.89 (step @p249 :rule symm :premises (@p126)) % 0.63/0.89 (step @p250 :rule refl :args (@t80)) % 0.63/0.89 (step @p251 :rule symm :premises (@p240)) % 0.63/0.89 (step @p252 :rule symm :premises (@p234)) % 0.63/0.89 (step @p253 :rule symm :premises (@p130)) % 0.63/0.89 (step @p254 :rule trans :premises (@p184 @p222)) % 0.63/0.89 (step @p255 :rule cong :premises (@p254 @p254) :args (@t57)) % 0.63/0.89 (step @p256 :rule symm :premises (@p80)) % 0.63/0.89 (step @p257 :rule cong :premises (@p182 @p7) :args (@t150)) % 0.63/0.89 (step @p258 :rule trans :premises (@p58 @p257 @p61)) % 0.63/0.89 (step @p259 :rule cong :premises (@p258 @p258) :args (@t136)) % 0.63/0.89 (step @p260 :rule trans :premises (@p66 @p259 @p256 @p255 @p253 @p231)) % 0.63/0.89 (step @p261 :rule trans :premises (@p260 @p252 @p251)) % 0.63/0.89 (step @p262 :rule cong :premises (@p261 @p250) :args (@t96)) % 0.63/0.89 (step @p263 :rule trans :premises (@p122 @p134 @p262 @p249)) % 0.63/0.89 (step @p264 :rule trans :premises (@p263 @p243)) % 0.63/0.89 (step @p265 :rule cong :premises (@p264 @p177) :args (@t91)) % 0.63/0.89 (step @p266 :rule trans :premises (@p265 @p248)) % 0.63/0.89 (step @p267 :rule cong :premises (@p245 @p266) :args (@t92)) % 0.63/0.89 (step @p302 :rule trans :premises (@p267 @p247)) % 0.63/0.89 (step @p303 :rule false_elim :premises (@p302)) % 0.63/0.89 (step @p304 :rule and_intro :premises (@p303 @p143)) % 0.63/0.89 (step-pop @p374 :rule scope :premises (@p304)) % 0.63/0.89 (step-pop @p375 :rule scope :premises (@p374)) % 0.63/0.89 (step-pop @p376 :rule scope :premises (@p375)) % 0.63/0.89 (step-pop @p377 :rule scope :premises (@p376)) % 0.63/0.89 (step-pop @p378 :rule scope :premises (@p377)) % 0.63/0.89 (step-pop @p379 :rule scope :premises (@p378)) % 0.63/0.89 (step-pop @p380 :rule scope :premises (@p379)) % 0.63/0.89 (step-pop @p381 :rule scope :premises (@p380)) % 0.63/0.89 (step-pop @p382 :rule scope :premises (@p381)) % 0.63/0.89 (step-pop @p383 :rule scope :premises (@p382)) % 0.63/0.89 (step-pop @p384 :rule scope :premises (@p383)) % 0.63/0.89 (step-pop @p385 :rule scope :premises (@p384)) % 0.63/0.89 (step-pop @p386 :rule scope :premises (@p385)) % 0.63/0.89 (step-pop @p387 :rule scope :premises (@p386)) % 0.63/0.89 (step-pop @p388 :rule scope :premises (@p387)) % 0.63/0.89 (step-pop @p389 :rule scope :premises (@p388)) % 0.63/0.89 (step-pop @p390 :rule scope :premises (@p389)) % 0.63/0.89 (step-pop @p391 :rule scope :premises (@p390)) % 0.63/0.89 (step-pop @p392 :rule scope :premises (@p391)) % 0.63/0.89 (step-pop @p393 :rule scope :premises (@p392)) % 0.63/0.89 (step-pop @p394 :rule scope :premises (@p393)) % 0.63/0.89 (step-pop @p395 :rule scope :premises (@p394)) % 0.63/0.89 (step-pop @p396 :rule scope :premises (@p395)) % 0.63/0.89 (step-pop @p397 :rule scope :premises (@p396)) % 0.63/0.89 (step-pop @p398 :rule scope :premises (@p397)) % 0.63/0.89 (step-pop @p399 :rule scope :premises (@p398)) % 0.63/0.89 (step-pop @p400 :rule scope :premises (@p399)) % 0.63/0.89 (step @p305 :rule process_scope :premises (@p400) :args (@t170)) % 0.63/0.89 (step @p333 :rule implies_elim :premises (@p305)) % 0.63/0.89 (step @p334 :rule resolution :premises (@p333 @p272) :args (true @t170)) % 0.63/0.89 (step @p335 :rule not_and :premises (@p334)) % 0.63/0.89 (step @p336 :rule eq_resolve :premises (@p335 @p171)) % 0.63/0.89 (step @p337 :rule reordering :premises (@p336) :args ((or @t162 @t160 @t158 @t156 @t154 @t152 @t149 @t146 @t142 @t140 @t138 @t135 @t134 @t132 @t128 @t123 @t121 @t117 @t116 @t115 @t111 @t108 @t106 @t99 @t95 @t98 @t93))) % 0.63/0.89 (step @p338 false :rule chain_m_resolution :premises (@p337 @p143 @p139 @p134 @p130 @p126 @p125 @p124 @p123 @p122 @p107 @p85 @p84 @p83 @p82 @p81 @p80 @p66 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p51 @p50) :args (false (@list false true false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t92 @t95 @t97 @t89 @t105 @t107 @t110 @t114 @t81 @t74 @t120 @t122 @t127 @t131 @t133 @t58 @t137 @t139 @t141 @t145 @t148 @t151 @t153 @t155 @t157 @t159 @t161))) % 0.63/0.89 ) % 0.63/0.90 % SZS output end Proof % 0.75/0.90 % cvc5 exiting %------------------------------------------------------------------------------