%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS120+1 : TPTP v9.2.1. Released v3.1.0. % 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 08:28:57 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.57s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS120+1 : TPTP v9.2.1. Released v3.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:28:24 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.57 % SZS status Unsatisfiable % 0.33/0.57 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (declare-sort $$unsorted 0) % 0.41/0.59 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.ca_Ax2 (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.i2003_11_14_17_21_48796 $$unsorted) % 0.41/0.59 (declare-const tptp.ca_Vx3 (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.cp1xcomp (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.41/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.41/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.41/0.59 (define @t3 () (= @t2 @t1)) % 0.41/0.59 (define @t4 () (@list @t2 @t1)) % 0.41/0.59 (define @t5 () (@var "C" $$unsorted)) % 0.41/0.59 (define @t6 () (@list @t2 @t1 @t5)) % 0.41/0.59 (define @t7 () (@var "X" $$unsorted)) % 0.41/0.59 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.41/0.59 (define @t9 () (tptp.cowlThing @t7)) % 0.41/0.59 (define @t10 () (@list @t7)) % 0.41/0.59 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.41/0.59 (define @t12 () (@var "Y" $$unsorted)) % 0.41/0.59 (define @t13 () (tptp.ca_Ax2 @t12)) % 0.41/0.59 (define @t14 () (tptp.rf @t7 @t12)) % 0.41/0.59 (define @t15 () (and @t14 @t13)) % 0.41/0.59 (define @t16 () (@list @t12)) % 0.41/0.59 (define @t17 () (exists @t16 @t15)) % 0.41/0.59 (define @t18 () (tptp.cUnsatisfiable @t7)) % 0.41/0.59 (define @t19 () (= @t18 @t17)) % 0.41/0.59 (define @t20 () (forall @t10 @t19)) % 0.41/0.59 (define @t21 () (tptp.ra_Px1 @t7 @t12)) % 0.41/0.59 (define @t22 () (exists @t16 @t21)) % 0.41/0.59 (define @t23 () (not @t22)) % 0.41/0.59 (define @t24 () (tptp.cp1 @t7)) % 0.41/0.59 (define @t25 () (= @t24 @t23)) % 0.41/0.59 (define @t26 () (forall @t10 @t25)) % 0.41/0.59 (define @t27 () (@var "Y0" $$unsorted)) % 0.41/0.59 (define @t28 () (tptp.ra_Px1 @t7 @t27)) % 0.41/0.59 (define @t29 () (@list @t27)) % 0.41/0.59 (define @t30 () (exists @t29 @t28)) % 0.41/0.59 (define @t31 () (tptp.cp1xcomp @t7)) % 0.41/0.59 (define @t32 () (= @t31 @t30)) % 0.41/0.59 (define @t33 () (forall @t10 @t32)) % 0.41/0.59 (define @t34 () (tptp.ca_Vx3 @t12)) % 0.41/0.59 (define @t35 () (tptp.rinvF @t7 @t12)) % 0.41/0.59 (define @t36 () (and @t35 @t34)) % 0.41/0.59 (define @t37 () (exists @t16 @t36)) % 0.41/0.59 (define @t38 () (and @t37 @t24)) % 0.41/0.59 (define @t39 () (tptp.ca_Ax2 @t7)) % 0.41/0.59 (define @t40 () (= @t39 @t38)) % 0.41/0.59 (define @t41 () (forall @t10 @t40)) % 0.41/0.59 (define @t42 () (tptp.cp1xcomp @t12)) % 0.41/0.59 (define @t43 () (and @t14 @t42)) % 0.41/0.59 (define @t44 () (exists @t16 @t43)) % 0.41/0.59 (define @t45 () (tptp.ca_Vx3 @t7)) % 0.41/0.59 (define @t46 () (= @t45 @t44)) % 0.41/0.59 (define @t47 () (forall @t10 @t46)) % 0.41/0.59 (define @t48 () (@var "Y1" $$unsorted)) % 0.41/0.59 (define @t49 () (= @t27 @t48)) % 0.41/0.59 (define @t50 () (tptp.rf @t7 @t48)) % 0.41/0.59 (define @t51 () (tptp.rf @t7 @t27)) % 0.41/0.59 (define @t52 () (and @t51 @t50)) % 0.41/0.59 (define @t53 () (@list @t27 @t48)) % 0.41/0.59 (define @t54 () (forall @t53 (=> @t52 @t49))) % 0.41/0.59 (define @t55 () (=> @t9 @t54)) % 0.41/0.59 (define @t56 () (forall @t10 @t55)) % 0.41/0.59 (define @t57 () (@list @t7 @t12)) % 0.41/0.59 (define @t58 () (@var "Z" $$unsorted)) % 0.41/0.59 (define @t59 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_48796)) % 0.41/0.59 (define @t60 () (forall @t16 (not @t21))) % 0.41/0.59 (define @t61 () (forall @t16 (or (not (tptp.rf tptp.i2003_11_14_17_21_48796 @t12)) (not @t13)))) % 0.41/0.59 (define @t62 () (@quantifiers_skolemize @t61 0)) % 0.41/0.59 (define @t63 () (@list @t62)) % 0.41/0.59 (define @t64 () (forall @t16 (not @t36))) % 0.41/0.59 (define @t65 () (not @t64)) % 0.41/0.59 (define @t66 () (forall @t16 (not @t15))) % 0.41/0.59 (define @t67 () (not @t66)) % 0.41/0.59 (define @t68 () (not @t61)) % 0.41/0.59 (define @t69 () (= @t59 @t68)) % 0.41/0.59 (define @t70 () (@list false false)) % 0.41/0.59 (define @t71 () (tptp.ca_Ax2 @t62)) % 0.41/0.59 (define @t72 () (not @t71)) % 0.41/0.59 (define @t73 () (or (not (tptp.rf tptp.i2003_11_14_17_21_48796 @t62)) @t72)) % 0.41/0.59 (define @t74 () (@list true)) % 0.41/0.59 (define @t75 () (tptp.cp1 @t62)) % 0.41/0.59 (define @t76 () (forall @t16 (or (not (tptp.rinvF @t62 @t12)) (not @t34)))) % 0.41/0.59 (define @t77 () (not @t76)) % 0.41/0.59 (define @t78 () (and @t77 @t75)) % 0.41/0.59 (define @t79 () (= @t71 @t78)) % 0.41/0.59 (define @t80 () (not @t78)) % 0.41/0.59 (define @t81 () (@list false)) % 0.41/0.59 (define @t82 () (@list @t78)) % 0.41/0.59 (define @t83 () (forall @t16 (not (tptp.ra_Px1 @t62 @t12)))) % 0.41/0.59 (define @t84 () (= @t75 @t83)) % 0.41/0.59 (define @t85 () (@quantifiers_skolemize @t76 0)) % 0.41/0.59 (define @t86 () (forall @t16 (or (not (tptp.rf @t85 @t12)) (not @t42)))) % 0.41/0.59 (define @t87 () (@quantifiers_skolemize @t86 0)) % 0.41/0.59 (define @t88 () (forall @t16 (not @t43))) % 0.41/0.59 (define @t89 () (not @t88)) % 0.41/0.59 (define @t90 () (@list @t85)) % 0.41/0.59 (define @t91 () (tptp.ca_Vx3 @t85)) % 0.41/0.59 (define @t92 () (not @t91)) % 0.41/0.59 (define @t93 () (tptp.rinvF @t62 @t85)) % 0.41/0.59 (define @t94 () (not @t93)) % 0.41/0.59 (define @t95 () (or @t94 @t92)) % 0.41/0.59 (define @t96 () (@list @t95)) % 0.41/0.59 (define @t97 () (not @t86)) % 0.41/0.59 (define @t98 () (= @t91 @t97)) % 0.41/0.59 (define @t99 () (tptp.cp1xcomp @t87)) % 0.41/0.59 (define @t100 () (not @t99)) % 0.41/0.59 (define @t101 () (tptp.rf @t85 @t87)) % 0.41/0.59 (define @t102 () (not @t101)) % 0.41/0.59 (define @t103 () (or @t102 @t100)) % 0.41/0.59 (define @t104 () (@list @t103)) % 0.41/0.59 (define @t105 () (forall @t29 (not (tptp.ra_Px1 @t87 @t27)))) % 0.41/0.59 (define @t106 () (not @t105)) % 0.41/0.59 (define @t107 () (= @t99 @t106)) % 0.41/0.59 (define @t108 () (@quantifiers_skolemize @t105 0)) % 0.41/0.59 (define @t109 () (tptp.ra_Px1 @t87 @t108)) % 0.41/0.59 (define @t110 () (not (not @t109))) % 0.41/0.59 (define @t111 () (@var "BOUND_VARIABLE_7907" $$unsorted)) % 0.41/0.59 (define @t112 () (@var "BOUND_VARIABLE_7905" $$unsorted)) % 0.41/0.59 (define @t113 () (= @t112 @t111)) % 0.41/0.59 (define @t114 () (not (tptp.rf @t7 @t111))) % 0.41/0.59 (define @t115 () (not (tptp.rf @t7 @t112))) % 0.41/0.59 (define @t116 () (not @t9)) % 0.41/0.59 (define @t117 () (or @t115 @t114 @t113)) % 0.41/0.59 (define @t118 () (or @t116 @t117)) % 0.41/0.59 (define @t119 () (forall (@list @t7 @t112 @t111) @t118)) % 0.41/0.59 (define @t120 () (@list @t112 @t111)) % 0.41/0.59 (define @t121 () (forall @t120 @t118)) % 0.41/0.59 (define @t122 () (forall @t120 @t117)) % 0.41/0.59 (define @t123 () (or @t116 @t122)) % 0.41/0.59 (define @t124 () (not @t50)) % 0.41/0.59 (define @t125 () (not @t51)) % 0.41/0.59 (define @t126 () (or @t125 @t124 @t49)) % 0.41/0.59 (define @t127 () (forall @t53 @t126)) % 0.41/0.59 (define @t128 () (forall @t10 @t8)) % 0.41/0.59 (define @t129 () (@list @t7)) % 0.41/0.59 (define @t130 () (forall @t10 @t9)) % 0.41/0.59 (define @t131 () (and @t130 @t128)) % 0.41/0.59 (define @t132 () (tptp.rf @t85 @t62)) % 0.41/0.59 (define @t133 () (= @t93 @t132)) % 0.41/0.59 (define @t134 () (= @t62 @t87)) % 0.41/0.59 (define @t135 () (not @t132)) % 0.41/0.59 (define @t136 () (tptp.cowlThing @t85)) % 0.41/0.59 (define @t137 () (not @t136)) % 0.41/0.59 (define @t138 () (or @t137 @t135 @t102 @t134)) % 0.41/0.59 (define @t139 () (tptp.ra_Px1 @t62 @t108)) % 0.41/0.59 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.41/0.59 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Ax2 @t2)) (tptp.ca_Ax2 @t1)))) % 0.41/0.59 (assume @p3 (forall @t4 (=> (and @t3 (tptp.ca_Vx3 @t2)) (tptp.ca_Vx3 @t1)))) % 0.41/0.59 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.41/0.59 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.41/0.59 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.41/0.59 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cp1xcomp @t2)) (tptp.cp1xcomp @t1)))) % 0.41/0.59 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.41/0.59 (assume @p9 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.41/0.59 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.41/0.59 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.41/0.59 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.41/0.59 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.41/0.59 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.41/0.59 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.41/0.59 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.41/0.59 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.41/0.59 (assume @p18 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.41/0.59 (assume @p19 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.41/0.59 (assume @p20 @t11) % 0.41/0.59 (assume @p21 (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.41/0.59 (assume @p22 @t20) % 0.41/0.59 (assume @p23 @t26) % 0.41/0.59 (assume @p24 @t33) % 0.41/0.59 (assume @p25 @t41) % 0.41/0.59 (assume @p26 @t47) % 0.41/0.59 (assume @p27 @t56) % 0.41/0.59 (assume @p28 (forall @t57 (= @t35 (tptp.rf @t12 @t7)))) % 0.41/0.59 (assume @p29 (forall @t57 (= (tptp.rinvR @t7 @t12) (tptp.rr @t12 @t7)))) % 0.41/0.59 (assume @p30 (forall (@list @t7 @t12 @t58) (=> (and (tptp.rr @t7 @t12) (tptp.rr @t12 @t58)) (tptp.rr @t7 @t58)))) % 0.41/0.59 (assume @p31 @t59) % 0.41/0.59 (step @p32 :rule bool-double-not-elim :args (@t60)) % 0.41/0.59 (step @p33 :rule exists-elim :args ((= @t22 (not @t60)))) % 0.41/0.59 (step @p34 :rule cong :premises (@p33) :args (@t23)) % 0.41/0.59 (step @p35 :rule trans :premises (@p34 @p32)) % 0.41/0.59 (step @p36 :rule refl :args (@t24)) % 0.41/0.59 (step @p37 :rule cong :premises (@p36 @p35) :args (@t25)) % 0.41/0.59 (step @p38 :rule cong :premises (@p37) :args (@t26)) % 0.41/0.59 (step @p39 :rule eq_resolve :premises (@p23 @p38)) % 0.41/0.59 (step @p40 :rule instantiate :premises (@p39) :args (@t63)) % 0.41/0.59 (step @p41 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.41/0.59 (step @p42 :rule cong :premises (@p41) :args (@t64)) % 0.41/0.59 (step @p43 :rule cong :premises (@p42) :args (@t65)) % 0.41/0.59 (step @p44 :rule exists-elim :args ((= @t37 @t65))) % 0.41/0.59 (step @p45 :rule trans :premises (@p44 @p43)) % 0.41/0.59 (step @p46 :rule nary_cong :premises (@p45 @p36) :args (@t38)) % 0.41/0.59 (step @p47 :rule refl :args (@t39)) % 0.41/0.59 (step @p48 :rule cong :premises (@p47 @p46) :args (@t40)) % 0.41/0.59 (step @p49 :rule cong :premises (@p48) :args (@t41)) % 0.41/0.59 (step @p50 :rule eq_resolve :premises (@p25 @p49)) % 0.41/0.59 (step @p51 :rule instantiate :premises (@p50) :args (@t63)) % 0.41/0.59 (step @p52 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.41/0.59 (step @p53 :rule cong :premises (@p52) :args (@t66)) % 0.41/0.59 (step @p54 :rule cong :premises (@p53) :args (@t67)) % 0.41/0.59 (step @p55 :rule exists-elim :args ((= @t17 @t67))) % 0.41/0.59 (step @p56 :rule trans :premises (@p55 @p54)) % 0.41/0.59 (step @p57 :rule refl :args (@t18)) % 0.41/0.59 (step @p58 :rule cong :premises (@p57 @p56) :args (@t19)) % 0.41/0.59 (step @p59 :rule cong :premises (@p58) :args (@t20)) % 0.41/0.59 (step @p60 :rule eq_resolve :premises (@p22 @p59)) % 0.41/0.59 (step @p61 :rule instantiate :premises (@p60) :args ((@list tptp.i2003_11_14_17_21_48796))) % 0.41/0.59 (step @p62 :rule cnf_equiv_pos1 :args (@t69)) % 0.41/0.59 (step @p63 :rule reordering :premises (@p62) :args ((or (not @t59) @t68 (not @t69)))) % 0.41/0.59 (step @p64 :rule chain_m_resolution :premises (@p63 @p31 @p61) :args (@t68 @t70 (@list @t59 @t69))) % 0.41/0.59 (step @p65 :rule skolemize :premises (@p64)) % 0.41/0.59 (step @p66 :rule bool-double-not-elim :args (@t71)) % 0.41/0.59 (step @p67 :rule refl :args (@t73)) % 0.41/0.59 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t73 (not @t72)))) % 0.41/0.59 (step @p69 :rule cnf_or_neg :args (@t73 1)) % 0.41/0.59 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.41/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t71 @t73))) % 0.41/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p65) :args (@t71 @t74 (@list @t73))) % 0.41/0.59 (step @p73 :rule cnf_equiv_pos1 :args (@t79)) % 0.41/0.59 (step @p74 :rule reordering :premises (@p73) :args ((or @t72 @t78 (not @t79)))) % 0.41/0.59 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p51) :args (@t78 @t70 (@list @t71 @t79))) % 0.41/0.59 (step @p76 :rule cnf_and_pos :args (@t78 1)) % 0.41/0.59 (step @p77 :rule reordering :premises (@p76) :args ((or @t75 @t80))) % 0.41/0.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p75) :args (@t75 @t81 @t82)) % 0.41/0.59 (step @p79 :rule cnf_equiv_pos1 :args (@t84)) % 0.41/0.59 (step @p80 :rule reordering :premises (@p79) :args ((or (not @t75) @t83 (not @t84)))) % 0.41/0.59 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p40) :args (@t83 @t70 (@list @t75 @t84))) % 0.41/0.59 (step @p82 :rule exists-elim :args ((= @t30 (not (forall @t29 (not @t28)))))) % 0.41/0.59 (step @p83 :rule refl :args (@t31)) % 0.41/0.59 (step @p84 :rule cong :premises (@p83 @p82) :args (@t32)) % 0.41/0.59 (step @p85 :rule cong :premises (@p84) :args (@t33)) % 0.41/0.59 (step @p86 :rule eq_resolve :premises (@p24 @p85)) % 0.41/0.59 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t87))) % 0.41/0.59 (step @p88 :rule bool-and-de-morgan :args (@t14 @t42 true)) % 0.41/0.59 (step @p89 :rule cong :premises (@p88) :args (@t88)) % 0.41/0.59 (step @p90 :rule cong :premises (@p89) :args (@t89)) % 0.41/0.59 (step @p91 :rule exists-elim :args ((= @t44 @t89))) % 0.41/0.59 (step @p92 :rule trans :premises (@p91 @p90)) % 0.41/0.59 (step @p93 :rule refl :args (@t45)) % 0.41/0.59 (step @p94 :rule cong :premises (@p93 @p92) :args (@t46)) % 0.41/0.59 (step @p95 :rule cong :premises (@p94) :args (@t47)) % 0.41/0.59 (step @p96 :rule eq_resolve :premises (@p26 @p95)) % 0.41/0.59 (step @p97 :rule instantiate :premises (@p96) :args (@t90)) % 0.41/0.59 (step @p98 :rule cnf_and_pos :args (@t78 0)) % 0.41/0.59 (step @p99 :rule reordering :premises (@p98) :args ((or @t77 @t80))) % 0.41/0.59 (step @p100 :rule chain_m_resolution :premises (@p99 @p75) :args (@t77 @t81 @t82)) % 0.41/0.59 (step @p101 :rule skolemize :premises (@p100)) % 0.41/0.59 (step @p102 :rule bool-double-not-elim :args (@t91)) % 0.41/0.59 (step @p103 :rule refl :args (@t95)) % 0.41/0.59 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t95 (not @t92)))) % 0.41/0.59 (step @p105 :rule cnf_or_neg :args (@t95 1)) % 0.41/0.59 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.41/0.59 (step @p107 :rule reordering :premises (@p106) :args ((or @t91 @t95))) % 0.41/0.59 (step @p108 :rule chain_m_resolution :premises (@p107 @p101) :args (@t91 @t74 @t96)) % 0.41/0.59 (step @p109 :rule cnf_equiv_pos1 :args (@t98)) % 0.41/0.59 (step @p110 :rule reordering :premises (@p109) :args ((or @t92 @t97 (not @t98)))) % 0.41/0.59 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p97) :args (@t97 @t70 (@list @t91 @t98))) % 0.41/0.59 (step @p112 :rule skolemize :premises (@p111)) % 0.41/0.59 (step @p113 :rule bool-double-not-elim :args (@t99)) % 0.41/0.59 (step @p114 :rule refl :args (@t103)) % 0.41/0.59 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t103 (not @t100)))) % 0.41/0.59 (step @p116 :rule cnf_or_neg :args (@t103 1)) % 0.41/0.59 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.41/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t99 @t103))) % 0.41/0.59 (step @p119 :rule chain_m_resolution :premises (@p118 @p112) :args (@t99 @t74 @t104)) % 0.41/0.59 (step @p120 :rule cnf_equiv_pos1 :args (@t107)) % 0.41/0.59 (step @p121 :rule reordering :premises (@p120) :args ((or @t100 @t106 (not @t107)))) % 0.41/0.59 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p87) :args (@t106 @t70 (@list @t99 @t107))) % 0.41/0.59 (step @p123 :rule refl :args (@t109)) % 0.41/0.59 (step @p124 :rule bool-double-not-elim :args (@t105)) % 0.41/0.59 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t106) @t109))) % 0.41/0.59 (step @p126 :rule bool-double-not-elim :args (@t109)) % 0.41/0.59 (step @p127 :rule refl :args (@t106)) % 0.41/0.59 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t106 @t110))) % 0.41/0.59 (assume-push @p204 @t106) % 0.41/0.59 (step @p130 :rule skolemize :premises (@p122)) % 0.41/0.59 (step-pop @p205 :rule scope :premises (@p130)) % 0.41/0.59 (step @p131 :rule process_scope :premises (@p205) :args (@t110)) % 0.41/0.59 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 0.41/0.59 (step @p134 :rule implies_elim :premises (@p133)) % 0.41/0.59 (step @p135 :rule eq_resolve :premises (@p134 @p125)) % 0.41/0.59 (step @p136 :rule chain_m_resolution :premises (@p135 @p122) :args (@t109 @t74 (@list @t105))) % 0.41/0.59 (step @p137 :rule true_intro :premises (@p136)) % 0.41/0.59 (step @p138 :rule refl :args (@t108)) % 0.41/0.59 (step @p139 :rule aci_norm :args ((= @t118 (or @t116 @t115 @t114 @t113)))) % 0.41/0.59 (step @p140 :rule cong :premises (@p139) :args (@t119)) % 0.41/0.59 (step @p141 :rule quant-merge-prenex :args ((= (forall @t10 @t121) @t119))) % 0.41/0.59 (step @p142 :rule alpha_equiv :args (@t122 (@list @t112 @t111) (@list @t27 @t48))) % 0.41/0.59 (step @p143 :rule refl :args (@t116)) % 0.41/0.59 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t123)) % 0.41/0.59 (step @p145 :rule quant-miniscope-or :args ((= @t121 @t123))) % 0.41/0.59 (step @p146 :rule trans :premises (@p145 @p144)) % 0.41/0.59 (step @p147 :rule symm :premises (@p146)) % 0.41/0.59 (step @p148 :rule cong :premises (@p147) :args ((forall @t10 (or @t116 @t127)))) % 0.41/0.59 (step @p149 :rule trans :premises (@p148 @p141)) % 0.41/0.59 (step @p150 :rule trans :premises (@p149 @p140)) % 0.41/0.59 (step @p151 :rule bool-impl-elim :args (@t9 @t127)) % 0.41/0.59 (step @p152 :rule cong :premises (@p151) :args ((forall @t10 (=> @t9 @t127)))) % 0.41/0.59 (step @p153 :rule trans :premises (@p152 @p150)) % 0.41/0.59 (step @p154 :rule aci_norm :args ((= (or (or @t125 @t124) @t49) @t126))) % 0.41/0.59 (step @p155 :rule refl :args (@t49)) % 0.41/0.59 (step @p156 :rule bool-and-de-morgan :args (@t51 @t50 true)) % 0.41/0.59 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or (not @t52) @t49))) % 0.41/0.59 (step @p158 :rule trans :premises (@p157 @p154)) % 0.41/0.59 (step @p159 :rule bool-impl-elim :args (@t52 @t49)) % 0.41/0.59 (step @p160 :rule trans :premises (@p159 @p158)) % 0.41/0.59 (step @p161 :rule cong :premises (@p160) :args (@t54)) % 0.41/0.59 (step @p162 :rule refl :args (@t9)) % 0.41/0.59 (step @p163 :rule cong :premises (@p162 @p161) :args (@t55)) % 0.41/0.59 (step @p164 :rule cong :premises (@p163) :args (@t56)) % 0.41/0.59 (step @p165 :rule trans :premises (@p164 @p153)) % 0.41/0.59 (step @p166 :rule eq_resolve :premises (@p27 @p165)) % 0.41/0.59 (step @p167 :rule instantiate :premises (@p166) :args ((@list @t85 @t62 @t87))) % 0.41/0.59 (step @p168 :rule alpha_equiv :args (@t128 @t129 (@list (@var "BOUND_VARIABLE_7840" $$unsorted)))) % 0.41/0.59 (step @p169 :rule alpha_equiv :args (@t130 @t129 (@list (@var "BOUND_VARIABLE_7835" $$unsorted)))) % 0.41/0.59 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t131)) % 0.41/0.59 (step @p171 :rule quant-miniscope-and :args ((= @t11 @t131))) % 0.41/0.59 (step @p172 :rule trans :premises (@p171 @p170)) % 0.41/0.59 (step @p173 :rule eq_resolve :premises (@p20 @p172)) % 0.41/0.59 (step @p174 :rule and_elim :premises (@p173) :args (0)) % 0.41/0.59 (step @p175 :rule instantiate :premises (@p174) :args (@t90)) % 0.41/0.59 (step @p176 :rule bool-double-not-elim :args (@t101)) % 0.41/0.59 (step @p177 :rule nary_cong :premises (@p114 @p176) :args ((or @t103 (not @t102)))) % 0.41/0.59 (step @p178 :rule cnf_or_neg :args (@t103 0)) % 0.41/0.59 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.41/0.59 (step @p180 :rule reordering :premises (@p179) :args ((or @t101 @t103))) % 0.41/0.59 (step @p181 :rule chain_m_resolution :premises (@p180 @p112) :args (@t101 @t74 @t104)) % 0.41/0.59 (step @p182 :rule instantiate :premises (@p28) :args ((@list @t62 @t85))) % 0.41/0.59 (step @p183 :rule bool-double-not-elim :args (@t93)) % 0.41/0.59 (step @p184 :rule nary_cong :premises (@p103 @p183) :args ((or @t95 (not @t94)))) % 0.41/0.59 (step @p185 :rule cnf_or_neg :args (@t95 0)) % 0.41/0.59 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.41/0.59 (step @p187 :rule reordering :premises (@p186) :args ((or @t93 @t95))) % 0.41/0.59 (step @p188 :rule chain_m_resolution :premises (@p187 @p101) :args (@t93 @t74 @t96)) % 0.41/0.59 (step @p189 :rule cnf_equiv_pos1 :args (@t133)) % 0.41/0.59 (step @p190 :rule reordering :premises (@p189) :args ((or @t94 @t132 (not @t133)))) % 0.41/0.59 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p182) :args (@t132 @t70 (@list @t93 @t133))) % 0.41/0.59 (step @p192 :rule cnf_or_pos :args (@t138)) % 0.41/0.59 (step @p193 :rule reordering :premises (@p192) :args ((or @t135 @t102 @t137 @t134 (not @t138)))) % 0.41/0.59 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p181 @p175 @p167) :args (@t134 (@list false false false false) (@list @t132 @t101 @t136 @t138))) % 0.41/0.59 (step @p195 :rule cong :premises (@p194 @p138) :args (@t139)) % 0.41/0.59 (step @p196 :rule trans :premises (@p195 @p137)) % 0.41/0.59 (step @p197 :rule true_elim :premises (@p196)) % 0.41/0.59 (assume-push @p206 @t83) % 0.41/0.59 (step @p199 :rule instantiate :premises (@p81) :args ((@list @t108))) % 0.41/0.59 (step-pop @p207 :rule scope :premises (@p199)) % 0.41/0.59 (step @p200 :rule process_scope :premises (@p207) :args ((not @t139))) % 0.41/0.59 (step @p202 :rule implies_elim :premises (@p200)) % 0.41/0.59 (step @p203 false :rule chain_m_resolution :premises (@p202 @p197 @p81) :args (false @t70 (@list @t139 @t83))) % 0.41/0.59 ) % 0.41/0.59 % SZS output end Proof % 0.41/0.59 % cvc5 exiting %------------------------------------------------------------------------------