%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS106+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 : n004.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 08:28:56 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS106+1 : TPTP v9.2.1. Released v3.1.0. % 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 : n004.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 05:27:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.i2003_11_14_17_20_57644 $$unsorted) % 0.37/0.57 (declare-const tptp.rf3 (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rf2 (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cp2 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rf1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cp1xcomp (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t3 () (= @t2 @t1)) % 0.37/0.57 (define @t4 () (@list @t2 @t1)) % 0.37/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t6 () (@list @t2 @t1 @t5)) % 0.37/0.57 (define @t7 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t8 () (@list @t7)) % 0.37/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t10 () (tptp.cp1xcomp @t9)) % 0.37/0.57 (define @t11 () (tptp.rf2 @t7 @t9)) % 0.37/0.57 (define @t12 () (and @t11 @t10)) % 0.37/0.57 (define @t13 () (@list @t9)) % 0.37/0.57 (define @t14 () (exists @t13 @t12)) % 0.37/0.57 (define @t15 () (tptp.cp1 @t9)) % 0.37/0.57 (define @t16 () (tptp.rf1 @t7 @t9)) % 0.37/0.57 (define @t17 () (and @t16 @t15)) % 0.37/0.57 (define @t18 () (exists @t13 @t17)) % 0.37/0.57 (define @t19 () (tptp.cp2 @t9)) % 0.37/0.57 (define @t20 () (tptp.rf3 @t7 @t9)) % 0.37/0.57 (define @t21 () (and @t20 @t19)) % 0.37/0.57 (define @t22 () (exists @t13 @t21)) % 0.37/0.57 (define @t23 () (and @t22 @t18 @t14)) % 0.37/0.57 (define @t24 () (tptp.cUnsatisfiable @t7)) % 0.37/0.57 (define @t25 () (= @t24 @t23)) % 0.37/0.57 (define @t26 () (forall @t8 @t25)) % 0.37/0.57 (define @t27 () (tptp.ra_Px1 @t7 @t9)) % 0.37/0.57 (define @t28 () (exists @t13 @t27)) % 0.37/0.57 (define @t29 () (not @t28)) % 0.37/0.57 (define @t30 () (tptp.cp1 @t7)) % 0.37/0.57 (define @t31 () (= @t30 @t29)) % 0.37/0.57 (define @t32 () (forall @t8 @t31)) % 0.37/0.57 (define @t33 () (@var "Y0" $$unsorted)) % 0.37/0.57 (define @t34 () (tptp.ra_Px1 @t7 @t33)) % 0.37/0.57 (define @t35 () (@list @t33)) % 0.37/0.57 (define @t36 () (exists @t35 @t34)) % 0.37/0.57 (define @t37 () (tptp.cp1xcomp @t7)) % 0.37/0.57 (define @t38 () (= @t37 @t36)) % 0.37/0.57 (define @t39 () (forall @t8 @t38)) % 0.37/0.57 (define @t40 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t41 () (= @t9 @t40)) % 0.37/0.57 (define @t42 () (tptp.rf1 @t7 @t40)) % 0.37/0.57 (define @t43 () (and @t16 @t42)) % 0.37/0.57 (define @t44 () (@list @t7 @t9 @t40)) % 0.37/0.57 (define @t45 () (forall @t44 (=> @t43 @t41))) % 0.37/0.57 (define @t46 () (tptp.rf2 @t7 @t40)) % 0.37/0.57 (define @t47 () (and @t11 @t46)) % 0.37/0.57 (define @t48 () (forall @t44 (=> @t47 @t41))) % 0.37/0.57 (define @t49 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_20_57644)) % 0.37/0.57 (define @t50 () (@list @t7 @t9)) % 0.37/0.57 (define @t51 () (forall @t50 (=> @t20 @t16))) % 0.37/0.57 (define @t52 () (forall @t50 (=> @t20 @t11))) % 0.37/0.57 (define @t53 () (forall @t13 (not @t27))) % 0.37/0.57 (define @t54 () (forall @t13 (or (not (tptp.rf1 tptp.i2003_11_14_17_20_57644 @t9)) (not @t15)))) % 0.37/0.57 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.37/0.57 (define @t56 () (forall @t13 (not @t12))) % 0.37/0.57 (define @t57 () (not @t56)) % 0.37/0.57 (define @t58 () (forall @t13 (not @t17))) % 0.37/0.57 (define @t59 () (not @t58)) % 0.37/0.57 (define @t60 () (forall @t13 (not @t21))) % 0.37/0.57 (define @t61 () (not @t60)) % 0.37/0.57 (define @t62 () (forall @t13 (or (not (tptp.rf2 tptp.i2003_11_14_17_20_57644 @t9)) (not @t10)))) % 0.37/0.57 (define @t63 () (not @t62)) % 0.37/0.57 (define @t64 () (not @t54)) % 0.37/0.57 (define @t65 () (forall @t13 (or (not (tptp.rf3 tptp.i2003_11_14_17_20_57644 @t9)) (not @t19)))) % 0.37/0.57 (define @t66 () (not @t65)) % 0.37/0.57 (define @t67 () (and @t66 @t64 @t63)) % 0.37/0.57 (define @t68 () (= @t49 @t67)) % 0.37/0.57 (define @t69 () (@list false false)) % 0.37/0.57 (define @t70 () (not @t67)) % 0.37/0.57 (define @t71 () (@list false)) % 0.37/0.57 (define @t72 () (@list @t67)) % 0.37/0.57 (define @t73 () (tptp.cp1 @t55)) % 0.37/0.57 (define @t74 () (not @t73)) % 0.37/0.57 (define @t75 () (tptp.rf1 tptp.i2003_11_14_17_20_57644 @t55)) % 0.37/0.57 (define @t76 () (not @t75)) % 0.37/0.57 (define @t77 () (or @t76 @t74)) % 0.37/0.57 (define @t78 () (@list true)) % 0.37/0.57 (define @t79 () (@list @t77)) % 0.37/0.57 (define @t80 () (forall @t13 (not (tptp.ra_Px1 @t55 @t9)))) % 0.37/0.57 (define @t81 () (= @t73 @t80)) % 0.37/0.57 (define @t82 () (@quantifiers_skolemize @t62 0)) % 0.37/0.57 (define @t83 () (tptp.cp1xcomp @t82)) % 0.37/0.57 (define @t84 () (not @t83)) % 0.37/0.57 (define @t85 () (tptp.rf2 tptp.i2003_11_14_17_20_57644 @t82)) % 0.37/0.57 (define @t86 () (not @t85)) % 0.37/0.57 (define @t87 () (or @t86 @t84)) % 0.37/0.57 (define @t88 () (@list @t87)) % 0.37/0.57 (define @t89 () (forall @t35 (not (tptp.ra_Px1 @t82 @t33)))) % 0.37/0.57 (define @t90 () (not @t89)) % 0.37/0.57 (define @t91 () (= @t83 @t90)) % 0.37/0.57 (define @t92 () (@quantifiers_skolemize @t89 0)) % 0.37/0.57 (define @t93 () (tptp.ra_Px1 @t82 @t92)) % 0.37/0.57 (define @t94 () (not (not @t93))) % 0.37/0.57 (define @t95 () (not @t46)) % 0.37/0.57 (define @t96 () (not @t11)) % 0.37/0.57 (define @t97 () (or @t96 @t95 @t41)) % 0.37/0.57 (define @t98 () (@quantifiers_skolemize @t65 0)) % 0.37/0.57 (define @t99 () (tptp.rf2 tptp.i2003_11_14_17_20_57644 @t98)) % 0.37/0.57 (define @t100 () (not @t99)) % 0.37/0.57 (define @t101 () (or @t86 @t100 (= @t82 @t98))) % 0.37/0.57 (define @t102 () (forall @t44 @t97)) % 0.37/0.57 (define @t103 () (= @t98 @t82)) % 0.37/0.57 (define @t104 () (or @t86 @t100 @t103)) % 0.37/0.57 (define @t105 () (@list tptp.i2003_11_14_17_20_57644 @t98)) % 0.37/0.57 (define @t106 () (tptp.rf3 tptp.i2003_11_14_17_20_57644 @t98)) % 0.37/0.57 (define @t107 () (not @t106)) % 0.37/0.57 (define @t108 () (or @t107 (not (tptp.cp2 @t98)))) % 0.37/0.57 (define @t109 () (or @t107 @t99)) % 0.37/0.57 (define @t110 () (@list false false false)) % 0.37/0.57 (define @t111 () (not @t42)) % 0.37/0.57 (define @t112 () (not @t16)) % 0.37/0.57 (define @t113 () (or @t112 @t111 @t41)) % 0.37/0.57 (define @t114 () (tptp.rf1 tptp.i2003_11_14_17_20_57644 @t98)) % 0.37/0.57 (define @t115 () (not @t114)) % 0.37/0.57 (define @t116 () (or @t76 @t115 (= @t55 @t98))) % 0.37/0.57 (define @t117 () (forall @t44 @t113)) % 0.37/0.57 (define @t118 () (= @t98 @t55)) % 0.37/0.57 (define @t119 () (or @t76 @t115 @t118)) % 0.37/0.57 (define @t120 () (or @t107 @t114)) % 0.37/0.57 (define @t121 () (tptp.ra_Px1 @t55 @t92)) % 0.37/0.57 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.37/0.57 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.37/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.37/0.57 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.37/0.57 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cp1xcomp @t2)) (tptp.cp1xcomp @t1)))) % 0.37/0.57 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp2 @t2)) (tptp.cp2 @t1)))) % 0.37/0.57 (assume @p7 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.37/0.57 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.37/0.57 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rf1 @t2 @t5)) (tptp.rf1 @t1 @t5)))) % 0.37/0.57 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf1 @t5 @t2)) (tptp.rf1 @t5 @t1)))) % 0.37/0.57 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf2 @t2 @t5)) (tptp.rf2 @t1 @t5)))) % 0.37/0.57 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rf2 @t5 @t2)) (tptp.rf2 @t5 @t1)))) % 0.37/0.57 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rf3 @t2 @t5)) (tptp.rf3 @t1 @t5)))) % 0.37/0.57 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rf3 @t5 @t2)) (tptp.rf3 @t5 @t1)))) % 0.37/0.57 (assume @p15 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.37/0.57 (assume @p16 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.37/0.57 (assume @p17 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.37/0.57 (assume @p18 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.37/0.57 (assume @p19 @t26) % 0.37/0.57 (assume @p20 @t32) % 0.37/0.57 (assume @p21 @t39) % 0.37/0.57 (assume @p22 @t45) % 0.37/0.57 (assume @p23 @t48) % 0.37/0.57 (assume @p24 (forall @t44 (=> (and @t20 (tptp.rf3 @t7 @t40)) @t41))) % 0.37/0.57 (assume @p25 @t49) % 0.37/0.57 (assume @p26 @t51) % 0.37/0.57 (assume @p27 @t52) % 0.37/0.57 (step @p28 :rule bool-double-not-elim :args (@t53)) % 0.37/0.57 (step @p29 :rule exists-elim :args ((= @t28 (not @t53)))) % 0.37/0.57 (step @p30 :rule cong :premises (@p29) :args (@t29)) % 0.37/0.57 (step @p31 :rule trans :premises (@p30 @p28)) % 0.37/0.57 (step @p32 :rule refl :args (@t30)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32 @p31) :args (@t31)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33) :args (@t32)) % 0.37/0.57 (step @p35 :rule eq_resolve :premises (@p20 @p34)) % 0.37/0.57 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t55))) % 0.37/0.57 (step @p37 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.37/0.57 (step @p38 :rule cong :premises (@p37) :args (@t56)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38) :args (@t57)) % 0.37/0.57 (step @p40 :rule exists-elim :args ((= @t14 @t57))) % 0.37/0.57 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.57 (step @p42 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.37/0.57 (step @p43 :rule cong :premises (@p42) :args (@t58)) % 0.37/0.57 (step @p44 :rule cong :premises (@p43) :args (@t59)) % 0.37/0.57 (step @p45 :rule exists-elim :args ((= @t18 @t59))) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p44)) % 0.37/0.57 (step @p47 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.37/0.57 (step @p48 :rule cong :premises (@p47) :args (@t60)) % 0.37/0.57 (step @p49 :rule cong :premises (@p48) :args (@t61)) % 0.37/0.57 (step @p50 :rule exists-elim :args ((= @t22 @t61))) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.57 (step @p52 :rule nary_cong :premises (@p51 @p46 @p41) :args (@t23)) % 0.37/0.57 (step @p53 :rule refl :args (@t24)) % 0.37/0.57 (step @p54 :rule cong :premises (@p53 @p52) :args (@t25)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54) :args (@t26)) % 0.37/0.57 (step @p56 :rule eq_resolve :premises (@p19 @p55)) % 0.37/0.57 (step @p57 :rule instantiate :premises (@p56) :args ((@list tptp.i2003_11_14_17_20_57644))) % 0.37/0.57 (step @p58 :rule cnf_equiv_pos1 :args (@t68)) % 0.37/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or (not @t49) @t67 (not @t68)))) % 0.37/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p25 @p57) :args (@t67 @t69 (@list @t49 @t68))) % 0.37/0.57 (step @p61 :rule cnf_and_pos :args (@t67 1)) % 0.37/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t64 @t70))) % 0.37/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p60) :args (@t64 @t71 @t72)) % 0.37/0.57 (step @p64 :rule skolemize :premises (@p63)) % 0.37/0.57 (step @p65 :rule bool-double-not-elim :args (@t73)) % 0.37/0.57 (step @p66 :rule refl :args (@t77)) % 0.37/0.57 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t77 (not @t74)))) % 0.37/0.57 (step @p68 :rule cnf_or_neg :args (@t77 1)) % 0.37/0.57 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.37/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t73 @t77))) % 0.37/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p64) :args (@t73 @t78 @t79)) % 0.37/0.57 (step @p72 :rule cnf_equiv_pos1 :args (@t81)) % 0.37/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t74 @t80 (not @t81)))) % 0.37/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p36) :args (@t80 @t69 (@list @t73 @t81))) % 0.37/0.57 (step @p75 :rule exists-elim :args ((= @t36 (not (forall @t35 (not @t34)))))) % 0.37/0.57 (step @p76 :rule refl :args (@t37)) % 0.37/0.57 (step @p77 :rule cong :premises (@p76 @p75) :args (@t38)) % 0.37/0.57 (step @p78 :rule cong :premises (@p77) :args (@t39)) % 0.37/0.57 (step @p79 :rule eq_resolve :premises (@p21 @p78)) % 0.37/0.57 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t82))) % 0.37/0.57 (step @p81 :rule cnf_and_pos :args (@t67 2)) % 0.37/0.57 (step @p82 :rule reordering :premises (@p81) :args ((or @t63 @t70))) % 0.37/0.57 (step @p83 :rule chain_m_resolution :premises (@p82 @p60) :args (@t63 @t71 @t72)) % 0.37/0.57 (step @p84 :rule skolemize :premises (@p83)) % 0.37/0.57 (step @p85 :rule bool-double-not-elim :args (@t83)) % 0.37/0.57 (step @p86 :rule refl :args (@t87)) % 0.37/0.57 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t87 (not @t84)))) % 0.37/0.57 (step @p88 :rule cnf_or_neg :args (@t87 1)) % 0.37/0.57 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.37/0.57 (step @p90 :rule reordering :premises (@p89) :args ((or @t83 @t87))) % 0.37/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p84) :args (@t83 @t78 @t88)) % 0.37/0.57 (step @p92 :rule cnf_equiv_pos1 :args (@t91)) % 0.37/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or @t84 @t90 (not @t91)))) % 0.37/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p80) :args (@t90 @t69 (@list @t83 @t91))) % 0.37/0.57 (step @p95 :rule refl :args (@t93)) % 0.37/0.57 (step @p96 :rule bool-double-not-elim :args (@t89)) % 0.37/0.57 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t90) @t93))) % 0.37/0.57 (step @p98 :rule bool-double-not-elim :args (@t93)) % 0.37/0.57 (step @p99 :rule refl :args (@t90)) % 0.37/0.57 (step @p100 :rule cong :premises (@p99 @p98) :args ((=> @t90 @t94))) % 0.37/0.57 (assume-push @p208 @t90) % 0.37/0.57 (step @p102 :rule skolemize :premises (@p94)) % 0.37/0.57 (step-pop @p209 :rule scope :premises (@p102)) % 0.37/0.57 (step @p103 :rule process_scope :premises (@p209) :args (@t94)) % 0.37/0.57 (step @p105 :rule eq_resolve :premises (@p103 @p100)) % 0.37/0.57 (step @p106 :rule implies_elim :premises (@p105)) % 0.37/0.57 (step @p107 :rule eq_resolve :premises (@p106 @p97)) % 0.37/0.57 (step @p108 :rule chain_m_resolution :premises (@p107 @p94) :args (@t93 @t78 (@list @t89))) % 0.37/0.57 (step @p109 :rule true_intro :premises (@p108)) % 0.37/0.57 (step @p110 :rule refl :args (@t92)) % 0.37/0.57 (step @p111 :rule aci_norm :args ((= (or (or @t96 @t95) @t41) @t97))) % 0.37/0.57 (step @p112 :rule refl :args (@t41)) % 0.37/0.57 (step @p113 :rule bool-and-de-morgan :args (@t11 @t46 true)) % 0.37/0.57 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or (not @t47) @t41))) % 0.37/0.57 (step @p115 :rule trans :premises (@p114 @p111)) % 0.37/0.57 (step @p116 :rule bool-impl-elim :args (@t47 @t41)) % 0.37/0.57 (step @p117 :rule trans :premises (@p116 @p115)) % 0.37/0.57 (step @p118 :rule cong :premises (@p117) :args (@t48)) % 0.37/0.57 (step @p119 :rule eq_resolve :premises (@p23 @p118)) % 0.37/0.57 (step @p120 :rule eq-symm :args (@t82 @t98)) % 0.37/0.57 (step @p121 :rule refl :args (@t100)) % 0.37/0.57 (step @p122 :rule refl :args (@t86)) % 0.37/0.57 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120) :args (@t101)) % 0.37/0.57 (step @p124 :rule refl :args (@t102)) % 0.37/0.57 (step @p125 :rule cong :premises (@p124 @p123) :args ((=> @t102 @t101))) % 0.37/0.57 (assume-push @p210 @t102) % 0.37/0.57 (step @p127 :rule instantiate :premises (@p119) :args ((@list tptp.i2003_11_14_17_20_57644 @t82 @t98))) % 0.37/0.57 (step-pop @p211 :rule scope :premises (@p127)) % 0.37/0.57 (step @p128 :rule process_scope :premises (@p211) :args (@t101)) % 0.37/0.57 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 0.37/0.57 (step @p131 :rule implies_elim :premises (@p130)) % 0.37/0.57 (step @p132 :rule chain_m_resolution :premises (@p131 @p119) :args (@t104 @t71 (@list @t102))) % 0.37/0.57 (step @p133 :rule bool-impl-elim :args (@t20 @t11)) % 0.37/0.57 (step @p134 :rule cong :premises (@p133) :args (@t52)) % 0.37/0.57 (step @p135 :rule eq_resolve :premises (@p27 @p134)) % 0.37/0.57 (step @p136 :rule instantiate :premises (@p135) :args (@t105)) % 0.37/0.57 (step @p137 :rule cnf_and_pos :args (@t67 0)) % 0.37/0.57 (step @p138 :rule reordering :premises (@p137) :args ((or @t66 @t70))) % 0.37/0.57 (step @p139 :rule chain_m_resolution :premises (@p138 @p60) :args (@t66 @t71 @t72)) % 0.37/0.57 (step @p140 :rule skolemize :premises (@p139)) % 0.37/0.57 (step @p141 :rule bool-double-not-elim :args (@t106)) % 0.37/0.57 (step @p142 :rule refl :args (@t108)) % 0.37/0.57 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t108 (not @t107)))) % 0.37/0.57 (step @p144 :rule cnf_or_neg :args (@t108 0)) % 0.37/0.57 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.37/0.57 (step @p146 :rule reordering :premises (@p145) :args ((or @t106 @t108))) % 0.37/0.57 (step @p147 :rule chain_m_resolution :premises (@p146 @p140) :args (@t106 @t78 (@list @t108))) % 0.37/0.57 (step @p148 :rule cnf_or_pos :args (@t109)) % 0.37/0.57 (step @p149 :rule reordering :premises (@p148) :args ((or @t107 @t99 (not @t109)))) % 0.37/0.57 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p136) :args (@t99 @t69 (@list @t106 @t109))) % 0.37/0.57 (step @p151 :rule bool-double-not-elim :args (@t85)) % 0.37/0.57 (step @p152 :rule nary_cong :premises (@p86 @p151) :args ((or @t87 (not @t86)))) % 0.37/0.57 (step @p153 :rule cnf_or_neg :args (@t87 0)) % 0.37/0.57 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.37/0.57 (step @p155 :rule reordering :premises (@p154) :args ((or @t85 @t87))) % 0.37/0.57 (step @p156 :rule chain_m_resolution :premises (@p155 @p84) :args (@t85 @t78 @t88)) % 0.37/0.57 (step @p157 :rule cnf_or_pos :args (@t104)) % 0.37/0.57 (step @p158 :rule reordering :premises (@p157) :args ((or @t86 @t100 @t103 (not @t104)))) % 0.37/0.57 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p150 @p132) :args (@t103 @t110 (@list @t85 @t99 @t104))) % 0.37/0.57 (step @p160 :rule aci_norm :args ((= (or (or @t112 @t111) @t41) @t113))) % 0.37/0.57 (step @p161 :rule bool-and-de-morgan :args (@t16 @t42 true)) % 0.37/0.57 (step @p162 :rule nary_cong :premises (@p161 @p112) :args ((or (not @t43) @t41))) % 0.37/0.57 (step @p163 :rule trans :premises (@p162 @p160)) % 0.37/0.57 (step @p164 :rule bool-impl-elim :args (@t43 @t41)) % 0.37/0.57 (step @p165 :rule trans :premises (@p164 @p163)) % 0.37/0.57 (step @p166 :rule cong :premises (@p165) :args (@t45)) % 0.37/0.57 (step @p167 :rule eq_resolve :premises (@p22 @p166)) % 0.37/0.57 (step @p168 :rule eq-symm :args (@t55 @t98)) % 0.37/0.57 (step @p169 :rule refl :args (@t115)) % 0.37/0.57 (step @p170 :rule refl :args (@t76)) % 0.37/0.57 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args (@t116)) % 0.37/0.57 (step @p172 :rule refl :args (@t117)) % 0.37/0.57 (step @p173 :rule cong :premises (@p172 @p171) :args ((=> @t117 @t116))) % 0.37/0.57 (assume-push @p212 @t117) % 0.37/0.57 (step @p175 :rule instantiate :premises (@p167) :args ((@list tptp.i2003_11_14_17_20_57644 @t55 @t98))) % 0.37/0.57 (step-pop @p213 :rule scope :premises (@p175)) % 0.37/0.57 (step @p176 :rule process_scope :premises (@p213) :args (@t116)) % 0.37/0.57 (step @p178 :rule eq_resolve :premises (@p176 @p173)) % 0.37/0.57 (step @p179 :rule implies_elim :premises (@p178)) % 0.37/0.57 (step @p180 :rule chain_m_resolution :premises (@p179 @p167) :args (@t119 @t71 (@list @t117))) % 0.37/0.57 (step @p181 :rule bool-impl-elim :args (@t20 @t16)) % 0.37/0.57 (step @p182 :rule cong :premises (@p181) :args (@t51)) % 0.37/0.57 (step @p183 :rule eq_resolve :premises (@p26 @p182)) % 0.37/0.57 (step @p184 :rule instantiate :premises (@p183) :args (@t105)) % 0.37/0.57 (step @p185 :rule cnf_or_pos :args (@t120)) % 0.37/0.57 (step @p186 :rule reordering :premises (@p185) :args ((or @t107 @t114 (not @t120)))) % 0.37/0.57 (step @p187 :rule chain_m_resolution :premises (@p186 @p147 @p184) :args (@t114 @t69 (@list @t106 @t120))) % 0.37/0.57 (step @p188 :rule bool-double-not-elim :args (@t75)) % 0.37/0.57 (step @p189 :rule nary_cong :premises (@p66 @p188) :args ((or @t77 (not @t76)))) % 0.37/0.57 (step @p190 :rule cnf_or_neg :args (@t77 0)) % 0.37/0.57 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.37/0.57 (step @p192 :rule reordering :premises (@p191) :args ((or @t75 @t77))) % 0.37/0.57 (step @p193 :rule chain_m_resolution :premises (@p192 @p64) :args (@t75 @t78 @t79)) % 0.37/0.57 (step @p194 :rule cnf_or_pos :args (@t119)) % 0.37/0.57 (step @p195 :rule reordering :premises (@p194) :args ((or @t76 @t115 @t118 (not @t119)))) % 0.37/0.57 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p187 @p180) :args (@t118 @t110 (@list @t75 @t114 @t119))) % 0.37/0.57 (step @p197 :rule symm :premises (@p196)) % 0.37/0.57 (step @p198 :rule trans :premises (@p197 @p159)) % 0.37/0.57 (step @p199 :rule cong :premises (@p198 @p110) :args (@t121)) % 0.37/0.57 (step @p200 :rule trans :premises (@p199 @p109)) % 0.37/0.57 (step @p201 :rule true_elim :premises (@p200)) % 0.37/0.57 (assume-push @p214 @t80) % 0.37/0.57 (step @p203 :rule instantiate :premises (@p74) :args ((@list @t92))) % 0.37/0.57 (step-pop @p215 :rule scope :premises (@p203)) % 0.37/0.57 (step @p204 :rule process_scope :premises (@p215) :args ((not @t121))) % 0.37/0.57 (step @p206 :rule implies_elim :premises (@p204)) % 0.37/0.57 (step @p207 false :rule chain_m_resolution :premises (@p206 @p201 @p74) :args (false @t69 (@list @t121 @t80))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------