%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS084+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:28:53 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS084+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n002.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:27:33 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Unsatisfiable % 0.38/0.59 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.i2003_11_14_17_19_35232 $$unsorted) % 0.38/0.61 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.38/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.61 (define @t3 () (= @t2 @t1)) % 0.38/0.61 (define @t4 () (@list @t2 @t1)) % 0.38/0.61 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.61 (define @t6 () (@list @t2 @t1 @t5)) % 0.38/0.61 (define @t7 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t8 () (@list @t7)) % 0.38/0.61 (define @t9 () (tptp.cc @t7)) % 0.38/0.61 (define @t10 () (not @t9)) % 0.38/0.61 (define @t11 () (@var "Z" $$unsorted)) % 0.38/0.61 (define @t12 () (tptp.cd @t11)) % 0.38/0.61 (define @t13 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t14 () (tptp.rinvF @t13 @t11)) % 0.38/0.61 (define @t15 () (and @t14 @t12)) % 0.38/0.61 (define @t16 () (@list @t11)) % 0.38/0.61 (define @t17 () (exists @t16 @t15)) % 0.38/0.61 (define @t18 () (tptp.rinvR @t7 @t13)) % 0.38/0.61 (define @t19 () (=> @t18 @t17)) % 0.38/0.61 (define @t20 () (@list @t13)) % 0.38/0.61 (define @t21 () (forall @t20 @t19)) % 0.38/0.61 (define @t22 () (tptp.cd @t13)) % 0.38/0.61 (define @t23 () (tptp.rinvF @t7 @t13)) % 0.38/0.61 (define @t24 () (and @t23 @t22)) % 0.38/0.61 (define @t25 () (exists @t20 @t24)) % 0.38/0.61 (define @t26 () (and @t25 @t21 @t10)) % 0.38/0.61 (define @t27 () (tptp.cUnsatisfiable @t7)) % 0.38/0.61 (define @t28 () (= @t27 @t26)) % 0.38/0.61 (define @t29 () (forall @t8 @t28)) % 0.38/0.61 (define @t30 () (tptp.cc @t13)) % 0.38/0.61 (define @t31 () (not @t30)) % 0.38/0.61 (define @t32 () (tptp.rf @t7 @t13)) % 0.38/0.61 (define @t33 () (and @t32 @t31)) % 0.38/0.61 (define @t34 () (exists @t20 @t33)) % 0.38/0.61 (define @t35 () (and @t34 @t9)) % 0.38/0.61 (define @t36 () (tptp.cd @t7)) % 0.38/0.61 (define @t37 () (= @t36 @t35)) % 0.38/0.61 (define @t38 () (forall @t8 @t37)) % 0.38/0.61 (define @t39 () (= @t13 @t11)) % 0.38/0.61 (define @t40 () (tptp.rf @t7 @t11)) % 0.38/0.61 (define @t41 () (and @t32 @t40)) % 0.38/0.61 (define @t42 () (@list @t7 @t13 @t11)) % 0.38/0.61 (define @t43 () (forall @t42 (=> @t41 @t39))) % 0.38/0.61 (define @t44 () (@list @t7 @t13)) % 0.38/0.61 (define @t45 () (forall @t44 (= @t18 (tptp.rr @t13 @t7)))) % 0.38/0.61 (define @t46 () (tptp.rr @t7 @t13)) % 0.38/0.61 (define @t47 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_35232)) % 0.38/0.61 (define @t48 () (forall @t44 (=> @t32 @t46))) % 0.38/0.61 (define @t49 () (not @t32)) % 0.38/0.61 (define @t50 () (forall @t20 (not @t33))) % 0.38/0.61 (define @t51 () (not @t50)) % 0.38/0.61 (define @t52 () (not @t22)) % 0.38/0.61 (define @t53 () (forall @t20 (or (not (tptp.rinvF tptp.i2003_11_14_17_19_35232 @t13)) @t52))) % 0.38/0.61 (define @t54 () (@quantifiers_skolemize @t53 0)) % 0.38/0.61 (define @t55 () (@list @t54)) % 0.38/0.61 (define @t56 () (not @t12)) % 0.38/0.61 (define @t57 () (not (forall @t16 (or (not @t14) @t56)))) % 0.38/0.61 (define @t58 () (forall @t16 (not @t15))) % 0.38/0.61 (define @t59 () (not @t58)) % 0.38/0.61 (define @t60 () (forall @t20 (not @t24))) % 0.38/0.61 (define @t61 () (not @t60)) % 0.38/0.61 (define @t62 () (not @t53)) % 0.38/0.61 (define @t63 () (and @t62 (forall @t20 (or (not (tptp.rinvR tptp.i2003_11_14_17_19_35232 @t13)) @t57)) (not (tptp.cc tptp.i2003_11_14_17_19_35232)))) % 0.38/0.61 (define @t64 () (= @t47 @t63)) % 0.38/0.61 (define @t65 () (@list false false)) % 0.38/0.61 (define @t66 () (@list false)) % 0.38/0.61 (define @t67 () (tptp.cd @t54)) % 0.38/0.61 (define @t68 () (not @t67)) % 0.38/0.61 (define @t69 () (tptp.rinvF tptp.i2003_11_14_17_19_35232 @t54)) % 0.38/0.61 (define @t70 () (not @t69)) % 0.38/0.61 (define @t71 () (or @t70 @t68)) % 0.38/0.61 (define @t72 () (@list true)) % 0.38/0.61 (define @t73 () (@list @t71)) % 0.38/0.61 (define @t74 () (tptp.cc @t54)) % 0.38/0.61 (define @t75 () (forall @t20 (or (not (tptp.rf @t54 @t13)) @t30))) % 0.38/0.61 (define @t76 () (not @t75)) % 0.38/0.61 (define @t77 () (and @t76 @t74)) % 0.38/0.61 (define @t78 () (= @t67 @t77)) % 0.38/0.61 (define @t79 () (not @t77)) % 0.38/0.61 (define @t80 () (@list @t77)) % 0.38/0.61 (define @t81 () (not @t40)) % 0.38/0.61 (define @t82 () (forall @t20 (or (not (tptp.rinvF @t54 @t13)) @t52))) % 0.38/0.61 (define @t83 () (@quantifiers_skolemize @t82 0)) % 0.38/0.61 (define @t84 () (forall @t20 (or (not (tptp.rf @t83 @t13)) @t30))) % 0.38/0.61 (define @t85 () (@quantifiers_skolemize @t84 0)) % 0.38/0.61 (define @t86 () (@quantifiers_skolemize @t75 0)) % 0.38/0.61 (define @t87 () (tptp.rf @t54 @t86)) % 0.38/0.61 (define @t88 () (tptp.cc @t86)) % 0.38/0.61 (define @t89 () (not @t87)) % 0.38/0.61 (define @t90 () (or @t89 @t88)) % 0.38/0.61 (define @t91 () (tptp.rf @t54 tptp.i2003_11_14_17_19_35232)) % 0.38/0.61 (define @t92 () (= @t69 @t91)) % 0.38/0.61 (define @t93 () (= tptp.i2003_11_14_17_19_35232 @t86)) % 0.38/0.61 (define @t94 () (not @t91)) % 0.38/0.61 (define @t95 () (or @t94 @t89 @t93)) % 0.38/0.61 (define @t96 () (@list false false false)) % 0.38/0.61 (define @t97 () (tptp.cUnsatisfiable @t86)) % 0.38/0.61 (define @t98 () (forall @t20 (or (not (tptp.rinvR @t86 @t13)) @t57))) % 0.38/0.61 (define @t99 () (and (not (forall @t20 (or (not (tptp.rinvF @t86 @t13)) @t52))) @t98 (not @t88))) % 0.38/0.61 (define @t100 () (= @t97 @t99)) % 0.38/0.61 (define @t101 () (tptp.rinvR @t86 @t54)) % 0.38/0.61 (define @t102 () (tptp.rr @t54 @t86)) % 0.38/0.61 (define @t103 () (= @t101 @t102)) % 0.38/0.61 (define @t104 () (= @t102 @t101)) % 0.38/0.61 (define @t105 () (or @t89 @t102)) % 0.38/0.61 (define @t106 () (forall @t16 (or (not (tptp.rinvF @t54 @t11)) @t56))) % 0.38/0.61 (define @t107 () (not @t106)) % 0.38/0.61 (define @t108 () (not @t101)) % 0.38/0.61 (define @t109 () (or @t108 @t107)) % 0.38/0.61 (define @t110 () (tptp.cd @t83)) % 0.38/0.61 (define @t111 () (not @t110)) % 0.38/0.61 (define @t112 () (tptp.rinvF @t54 @t83)) % 0.38/0.61 (define @t113 () (not @t112)) % 0.38/0.61 (define @t114 () (or @t113 @t111)) % 0.38/0.61 (define @t115 () (@list @t114)) % 0.38/0.61 (define @t116 () (not @t84)) % 0.38/0.61 (define @t117 () (and @t116 (tptp.cc @t83))) % 0.38/0.61 (define @t118 () (= @t110 @t117)) % 0.38/0.61 (define @t119 () (tptp.rf @t83 @t85)) % 0.38/0.61 (define @t120 () (tptp.cc @t85)) % 0.38/0.61 (define @t121 () (not @t119)) % 0.38/0.61 (define @t122 () (or @t121 @t120)) % 0.38/0.61 (define @t123 () (@list @t122)) % 0.38/0.61 (define @t124 () (tptp.rf @t83 @t54)) % 0.38/0.61 (define @t125 () (= @t112 @t124)) % 0.38/0.61 (define @t126 () (= @t54 @t85)) % 0.38/0.61 (define @t127 () (not @t124)) % 0.38/0.61 (define @t128 () (or @t127 @t121 @t126)) % 0.38/0.61 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.38/0.61 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1)))) % 0.38/0.61 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cd @t2)) (tptp.cd @t1)))) % 0.38/0.61 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.38/0.61 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.38/0.61 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.38/0.61 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.38/0.61 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.38/0.61 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.38/0.61 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.38/0.61 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.38/0.61 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.38/0.61 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.38/0.61 (assume @p14 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.38/0.61 (assume @p15 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.38/0.61 (assume @p16 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.38/0.61 (assume @p17 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.38/0.61 (assume @p18 @t29) % 0.38/0.61 (assume @p19 @t38) % 0.38/0.61 (assume @p20 @t43) % 0.38/0.61 (assume @p21 (forall @t44 (= @t23 (tptp.rf @t13 @t7)))) % 0.38/0.61 (assume @p22 @t45) % 0.38/0.61 (assume @p23 (forall @t42 (=> (and @t46 (tptp.rr @t13 @t11)) (tptp.rr @t7 @t11)))) % 0.38/0.61 (assume @p24 @t47) % 0.38/0.61 (assume @p25 @t48) % 0.38/0.61 (step @p26 :rule evaluate :args ((= false true))) % 0.38/0.61 (step @p27 :rule refl :args (@t9)) % 0.38/0.61 (step @p28 :rule bool-double-not-elim :args (@t30)) % 0.38/0.61 (step @p29 :rule refl :args (@t49)) % 0.38/0.61 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t49 (not @t31)))) % 0.38/0.61 (step @p31 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 0.38/0.61 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.61 (step @p33 :rule cong :premises (@p32) :args (@t50)) % 0.38/0.61 (step @p34 :rule cong :premises (@p33) :args (@t51)) % 0.38/0.61 (step @p35 :rule exists-elim :args ((= @t34 @t51))) % 0.38/0.61 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.61 (step @p37 :rule nary_cong :premises (@p36 @p27) :args (@t35)) % 0.38/0.61 (step @p38 :rule refl :args (@t36)) % 0.38/0.61 (step @p39 :rule cong :premises (@p38 @p37) :args (@t37)) % 0.38/0.61 (step @p40 :rule cong :premises (@p39) :args (@t38)) % 0.38/0.61 (step @p41 :rule eq_resolve :premises (@p19 @p40)) % 0.38/0.61 (step @p42 :rule instantiate :premises (@p41) :args (@t55)) % 0.38/0.61 (step @p43 :rule refl :args (@t10)) % 0.38/0.61 (step @p44 :rule bool-impl-elim :args (@t18 @t57)) % 0.38/0.61 (step @p45 :rule cong :premises (@p44) :args ((forall @t20 (=> @t18 @t57)))) % 0.38/0.61 (step @p46 :rule bool-and-de-morgan :args (@t14 @t12 true)) % 0.38/0.61 (step @p47 :rule cong :premises (@p46) :args (@t58)) % 0.38/0.61 (step @p48 :rule cong :premises (@p47) :args (@t59)) % 0.38/0.61 (step @p49 :rule exists-elim :args ((= @t17 @t59))) % 0.38/0.61 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.61 (step @p51 :rule refl :args (@t18)) % 0.38/0.61 (step @p52 :rule cong :premises (@p51 @p50) :args (@t19)) % 0.38/0.61 (step @p53 :rule cong :premises (@p52) :args (@t21)) % 0.38/0.61 (step @p54 :rule trans :premises (@p53 @p45)) % 0.38/0.61 (step @p55 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.38/0.61 (step @p56 :rule cong :premises (@p55) :args (@t60)) % 0.38/0.61 (step @p57 :rule cong :premises (@p56) :args (@t61)) % 0.38/0.61 (step @p58 :rule exists-elim :args ((= @t25 @t61))) % 0.38/0.61 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.61 (step @p60 :rule nary_cong :premises (@p59 @p54 @p43) :args (@t26)) % 0.38/0.61 (step @p61 :rule refl :args (@t27)) % 0.38/0.61 (step @p62 :rule cong :premises (@p61 @p60) :args (@t28)) % 0.38/0.61 (step @p63 :rule cong :premises (@p62) :args (@t29)) % 0.38/0.61 (step @p64 :rule eq_resolve :premises (@p18 @p63)) % 0.38/0.61 (step @p65 :rule instantiate :premises (@p64) :args ((@list tptp.i2003_11_14_17_19_35232))) % 0.38/0.61 (step @p66 :rule cnf_equiv_pos1 :args (@t64)) % 0.38/0.61 (step @p67 :rule reordering :premises (@p66) :args ((or (not @t47) @t63 (not @t64)))) % 0.38/0.61 (step @p68 :rule chain_m_resolution :premises (@p67 @p24 @p65) :args (@t63 @t65 (@list @t47 @t64))) % 0.38/0.61 (step @p69 :rule cnf_and_pos :args (@t63 0)) % 0.38/0.61 (step @p70 :rule reordering :premises (@p69) :args ((or @t62 (not @t63)))) % 0.38/0.61 (step @p71 :rule chain_m_resolution :premises (@p70 @p68) :args (@t62 @t66 (@list @t63))) % 0.38/0.61 (step @p72 :rule skolemize :premises (@p71)) % 0.38/0.61 (step @p73 :rule bool-double-not-elim :args (@t67)) % 0.38/0.61 (step @p74 :rule refl :args (@t71)) % 0.38/0.61 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t71 (not @t68)))) % 0.38/0.61 (step @p76 :rule cnf_or_neg :args (@t71 1)) % 0.38/0.61 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.38/0.61 (step @p78 :rule reordering :premises (@p77) :args ((or @t67 @t71))) % 0.38/0.61 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t67 @t72 @t73)) % 0.38/0.61 (step @p80 :rule cnf_equiv_pos1 :args (@t78)) % 0.38/0.61 (step @p81 :rule reordering :premises (@p80) :args ((or @t68 @t77 (not @t78)))) % 0.38/0.61 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p42) :args (@t77 @t65 (@list @t67 @t78))) % 0.38/0.61 (step @p83 :rule cnf_and_pos :args (@t77 1)) % 0.38/0.61 (step @p84 :rule reordering :premises (@p83) :args ((or @t74 @t79))) % 0.38/0.61 (step @p85 :rule chain_m_resolution :premises (@p84 @p82) :args (@t74 @t66 @t80)) % 0.38/0.61 (step @p86 :rule true_intro :premises (@p85)) % 0.38/0.61 (step @p87 :rule aci_norm :args ((= (or (or @t49 @t81) @t39) (or @t49 @t81 @t39)))) % 0.38/0.61 (step @p88 :rule refl :args (@t39)) % 0.38/0.61 (step @p89 :rule bool-and-de-morgan :args (@t32 @t40 true)) % 0.38/0.61 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t41) @t39))) % 0.38/0.61 (step @p91 :rule trans :premises (@p90 @p87)) % 0.38/0.61 (step @p92 :rule bool-impl-elim :args (@t41 @t39)) % 0.38/0.61 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.61 (step @p94 :rule cong :premises (@p93) :args (@t43)) % 0.38/0.61 (step @p95 :rule eq_resolve :premises (@p20 @p94)) % 0.38/0.61 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t83 @t54 @t85))) % 0.38/0.61 (step @p97 :rule instantiate :premises (@p41) :args ((@list @t83))) % 0.38/0.61 (step @p98 :rule instantiate :premises (@p64) :args ((@list @t86))) % 0.38/0.61 (step @p99 :rule true_intro :premises (@p24)) % 0.38/0.61 (step @p100 :rule instantiate :premises (@p95) :args ((@list @t54 tptp.i2003_11_14_17_19_35232 @t86))) % 0.38/0.61 (step @p101 :rule cnf_and_pos :args (@t77 0)) % 0.38/0.61 (step @p102 :rule reordering :premises (@p101) :args ((or @t76 @t79))) % 0.38/0.61 (step @p103 :rule chain_m_resolution :premises (@p102 @p82) :args (@t76 @t66 @t80)) % 0.38/0.61 (step @p104 :rule skolemize :premises (@p103)) % 0.38/0.61 (step @p105 :rule bool-double-not-elim :args (@t87)) % 0.38/0.61 (step @p106 :rule refl :args (@t90)) % 0.38/0.61 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t90 (not @t89)))) % 0.38/0.61 (step @p108 :rule cnf_or_neg :args (@t90 0)) % 0.38/0.61 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.38/0.61 (step @p110 :rule reordering :premises (@p109) :args ((or @t87 @t90))) % 0.38/0.61 (step @p111 :rule chain_m_resolution :premises (@p110 @p104) :args (@t87 @t72 (@list @t90))) % 0.38/0.61 (step @p112 :rule instantiate :premises (@p21) :args ((@list tptp.i2003_11_14_17_19_35232 @t54))) % 0.38/0.61 (step @p113 :rule bool-double-not-elim :args (@t69)) % 0.38/0.61 (step @p114 :rule nary_cong :premises (@p74 @p113) :args ((or @t71 (not @t70)))) % 0.38/0.61 (step @p115 :rule cnf_or_neg :args (@t71 0)) % 0.38/0.61 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.38/0.61 (step @p117 :rule reordering :premises (@p116) :args ((or @t69 @t71))) % 0.38/0.61 (step @p118 :rule chain_m_resolution :premises (@p117 @p72) :args (@t69 @t72 @t73)) % 0.38/0.61 (step @p119 :rule cnf_equiv_pos1 :args (@t92)) % 0.38/0.61 (step @p120 :rule reordering :premises (@p119) :args ((or @t70 @t91 (not @t92)))) % 0.38/0.61 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p112) :args (@t91 @t65 (@list @t69 @t92))) % 0.38/0.61 (step @p122 :rule cnf_or_pos :args (@t95)) % 0.38/0.61 (step @p123 :rule reordering :premises (@p122) :args ((or @t94 @t89 @t93 (not @t95)))) % 0.38/0.61 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p111 @p100) :args (@t93 @t96 (@list @t91 @t87 @t95))) % 0.38/0.61 (step @p125 :rule symm :premises (@p124)) % 0.38/0.61 (step @p126 :rule cong :premises (@p125) :args (@t97)) % 0.38/0.61 (step @p127 :rule trans :premises (@p126 @p99)) % 0.38/0.61 (step @p128 :rule true_elim :premises (@p127)) % 0.38/0.61 (step @p129 :rule cnf_equiv_pos1 :args (@t100)) % 0.38/0.61 (step @p130 :rule reordering :premises (@p129) :args ((or @t99 (not @t97) (not @t100)))) % 0.38/0.61 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p98) :args (@t99 @t65 (@list @t97 @t100))) % 0.38/0.61 (step @p132 :rule cnf_and_pos :args (@t99 1)) % 0.38/0.61 (step @p133 :rule reordering :premises (@p132) :args ((or @t98 (not @t99)))) % 0.38/0.61 (step @p134 :rule chain_m_resolution :premises (@p133 @p131) :args (@t98 @t66 (@list @t99))) % 0.38/0.61 (step @p135 :rule instantiate :premises (@p134) :args (@t55)) % 0.38/0.61 (step @p136 :rule eq-symm :args (@t101 @t102)) % 0.38/0.61 (step @p137 :rule refl :args (@t45)) % 0.38/0.61 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t45 @t103))) % 0.38/0.61 (assume-push @p205 @t45) % 0.38/0.61 (step @p140 :rule instantiate :premises (@p22) :args ((@list @t86 @t54))) % 0.38/0.61 (step-pop @p206 :rule scope :premises (@p140)) % 0.38/0.61 (step @p141 :rule process_scope :premises (@p206) :args (@t103)) % 0.38/0.61 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.38/0.61 (step @p144 :rule implies_elim :premises (@p143)) % 0.38/0.61 (step @p145 :rule chain_m_resolution :premises (@p144 @p22) :args (@t104 @t66 (@list @t45))) % 0.38/0.61 (step @p146 :rule bool-impl-elim :args (@t32 @t46)) % 0.38/0.61 (step @p147 :rule cong :premises (@p146) :args (@t48)) % 0.38/0.61 (step @p148 :rule eq_resolve :premises (@p25 @p147)) % 0.38/0.61 (step @p149 :rule instantiate :premises (@p148) :args ((@list @t54 @t86))) % 0.38/0.61 (step @p150 :rule cnf_or_pos :args (@t105)) % 0.38/0.61 (step @p151 :rule reordering :premises (@p150) :args ((or @t89 @t102 (not @t105)))) % 0.38/0.61 (step @p152 :rule chain_m_resolution :premises (@p151 @p111 @p149) :args (@t102 @t65 (@list @t87 @t105))) % 0.38/0.61 (step @p153 :rule cnf_equiv_pos1 :args (@t104)) % 0.38/0.61 (step @p154 :rule reordering :premises (@p153) :args ((or (not @t102) @t101 (not @t104)))) % 0.38/0.61 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p145) :args (@t101 @t65 (@list @t102 @t104))) % 0.38/0.61 (step @p156 :rule cnf_or_pos :args (@t109)) % 0.38/0.61 (step @p157 :rule reordering :premises (@p156) :args ((or @t108 @t107 (not @t109)))) % 0.38/0.61 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p135) :args (@t107 @t65 (@list @t101 @t109))) % 0.38/0.61 (step @p159 :rule alpha_equiv :args (@t82 (@list @t13) (@list @t11))) % 0.38/0.61 (step @p160 :rule equiv_elim1 :premises (@p159)) % 0.38/0.61 (step @p161 :rule chain_m_resolution :premises (@p160 @p158) :args ((not @t82) @t72 (@list @t106))) % 0.38/0.61 (step @p162 :rule skolemize :premises (@p161)) % 0.38/0.61 (step @p163 :rule bool-double-not-elim :args (@t110)) % 0.38/0.61 (step @p164 :rule refl :args (@t114)) % 0.38/0.61 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t114 (not @t111)))) % 0.38/0.61 (step @p166 :rule cnf_or_neg :args (@t114 1)) % 0.38/0.61 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.38/0.61 (step @p168 :rule reordering :premises (@p167) :args ((or @t110 @t114))) % 0.38/0.61 (step @p169 :rule chain_m_resolution :premises (@p168 @p162) :args (@t110 @t72 @t115)) % 0.38/0.61 (step @p170 :rule cnf_equiv_pos1 :args (@t118)) % 0.38/0.61 (step @p171 :rule reordering :premises (@p170) :args ((or @t111 @t117 (not @t118)))) % 0.38/0.61 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p97) :args (@t117 @t65 (@list @t110 @t118))) % 0.38/0.61 (step @p173 :rule cnf_and_pos :args (@t117 0)) % 0.38/0.61 (step @p174 :rule reordering :premises (@p173) :args ((or @t116 (not @t117)))) % 0.38/0.61 (step @p175 :rule chain_m_resolution :premises (@p174 @p172) :args (@t116 @t66 (@list @t117))) % 0.38/0.61 (step @p176 :rule skolemize :premises (@p175)) % 0.38/0.61 (step @p177 :rule bool-double-not-elim :args (@t119)) % 0.38/0.61 (step @p178 :rule refl :args (@t122)) % 0.38/0.61 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t122 (not @t121)))) % 0.38/0.61 (step @p180 :rule cnf_or_neg :args (@t122 0)) % 0.38/0.61 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 0.38/0.61 (step @p182 :rule reordering :premises (@p181) :args ((or @t119 @t122))) % 0.38/0.61 (step @p183 :rule chain_m_resolution :premises (@p182 @p176) :args (@t119 @t72 @t123)) % 0.38/0.61 (step @p184 :rule instantiate :premises (@p21) :args ((@list @t54 @t83))) % 0.38/0.61 (step @p185 :rule bool-double-not-elim :args (@t112)) % 0.38/0.61 (step @p186 :rule nary_cong :premises (@p164 @p185) :args ((or @t114 (not @t113)))) % 0.38/0.61 (step @p187 :rule cnf_or_neg :args (@t114 0)) % 0.38/0.61 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.38/0.61 (step @p189 :rule reordering :premises (@p188) :args ((or @t112 @t114))) % 0.38/0.61 (step @p190 :rule chain_m_resolution :premises (@p189 @p162) :args (@t112 @t72 @t115)) % 0.38/0.61 (step @p191 :rule cnf_equiv_pos1 :args (@t125)) % 0.38/0.61 (step @p192 :rule reordering :premises (@p191) :args ((or @t113 @t124 (not @t125)))) % 0.38/0.61 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p184) :args (@t124 @t65 (@list @t112 @t125))) % 0.38/0.61 (step @p194 :rule cnf_or_pos :args (@t128)) % 0.38/0.61 (step @p195 :rule reordering :premises (@p194) :args ((or @t127 @t121 @t126 (not @t128)))) % 0.38/0.61 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p183 @p96) :args (@t126 @t96 (@list @t124 @t119 @t128))) % 0.38/0.61 (step @p197 :rule symm :premises (@p196)) % 0.38/0.61 (step @p198 :rule cong :premises (@p197) :args (@t120)) % 0.38/0.61 (step @p199 :rule cnf_or_neg :args (@t122 1)) % 0.38/0.61 (step @p200 :rule chain_m_resolution :premises (@p199 @p176) :args ((not @t120) @t72 @t123)) % 0.38/0.61 (step @p201 :rule false_intro :premises (@p200)) % 0.38/0.61 (step @p202 :rule symm :premises (@p201)) % 0.38/0.61 (step @p203 :rule trans :premises (@p202 @p198 @p86)) % 0.38/0.61 (step @p204 false :rule eq_resolve :premises (@p203 @p26)) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------