%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS111+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 : n026.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 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS111+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 % 0.16/0.34 % Computer : n026.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 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:28:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.58 % SZS status Unsatisfiable % 0.40/0.58 % SZS output start Proof % 0.40/0.60 ( % 0.40/0.60 (declare-sort $$unsorted 0) % 0.40/0.60 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.i2003_11_14_17_21_15425 $$unsorted) % 0.40/0.60 (declare-const tptp.rinvF1 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.cpxcomp (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.rf1 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.rinvS (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.60 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.60 (define @t3 () (= @t2 @t1)) % 0.40/0.60 (define @t4 () (@list @t2 @t1)) % 0.40/0.60 (define @t5 () (@var "C" $$unsorted)) % 0.40/0.60 (define @t6 () (@list @t2 @t1 @t5)) % 0.40/0.60 (define @t7 () (@var "X" $$unsorted)) % 0.40/0.60 (define @t8 () (@list @t7)) % 0.40/0.60 (define @t9 () (@var "Y" $$unsorted)) % 0.40/0.60 (define @t10 () (tptp.cp @t9)) % 0.40/0.60 (define @t11 () (tptp.rf @t7 @t9)) % 0.40/0.60 (define @t12 () (and @t11 @t10)) % 0.40/0.60 (define @t13 () (@list @t9)) % 0.40/0.60 (define @t14 () (exists @t13 @t12)) % 0.40/0.60 (define @t15 () (tptp.cowlThing @t9)) % 0.40/0.60 (define @t16 () (tptp.rs @t7 @t9)) % 0.40/0.60 (define @t17 () (and @t16 @t15)) % 0.40/0.60 (define @t18 () (exists @t13 @t17)) % 0.40/0.60 (define @t19 () (tptp.cpxcomp @t9)) % 0.40/0.60 (define @t20 () (tptp.rf1 @t7 @t9)) % 0.40/0.60 (define @t21 () (and @t20 @t19)) % 0.40/0.60 (define @t22 () (exists @t13 @t21)) % 0.40/0.60 (define @t23 () (and @t22 @t18 @t14)) % 0.40/0.60 (define @t24 () (tptp.cUnsatisfiable @t7)) % 0.40/0.60 (define @t25 () (= @t24 @t23)) % 0.40/0.60 (define @t26 () (forall @t8 @t25)) % 0.40/0.60 (define @t27 () (tptp.ra_Px1 @t7 @t9)) % 0.40/0.60 (define @t28 () (exists @t13 @t27)) % 0.40/0.60 (define @t29 () (not @t28)) % 0.40/0.60 (define @t30 () (tptp.cp @t7)) % 0.40/0.60 (define @t31 () (= @t30 @t29)) % 0.40/0.60 (define @t32 () (forall @t8 @t31)) % 0.40/0.60 (define @t33 () (@var "Y0" $$unsorted)) % 0.40/0.60 (define @t34 () (tptp.ra_Px1 @t7 @t33)) % 0.40/0.60 (define @t35 () (@list @t33)) % 0.40/0.60 (define @t36 () (exists @t35 @t34)) % 0.40/0.60 (define @t37 () (tptp.cpxcomp @t7)) % 0.40/0.60 (define @t38 () (= @t37 @t36)) % 0.40/0.60 (define @t39 () (forall @t8 @t38)) % 0.40/0.60 (define @t40 () (@var "Z" $$unsorted)) % 0.40/0.60 (define @t41 () (= @t9 @t40)) % 0.40/0.60 (define @t42 () (tptp.rf @t7 @t40)) % 0.40/0.60 (define @t43 () (and @t11 @t42)) % 0.40/0.60 (define @t44 () (@list @t7 @t9 @t40)) % 0.40/0.60 (define @t45 () (forall @t44 (=> @t43 @t41))) % 0.40/0.60 (define @t46 () (tptp.rf1 @t7 @t40)) % 0.40/0.60 (define @t47 () (and @t20 @t46)) % 0.40/0.60 (define @t48 () (forall @t44 (=> @t47 @t41))) % 0.40/0.60 (define @t49 () (@list @t7 @t9)) % 0.40/0.60 (define @t50 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_15425)) % 0.40/0.60 (define @t51 () (forall @t49 (=> @t16 @t11))) % 0.40/0.60 (define @t52 () (forall @t49 (=> @t16 @t20))) % 0.40/0.60 (define @t53 () (forall @t13 (not @t27))) % 0.40/0.60 (define @t54 () (forall @t13 (or (not (tptp.rf tptp.i2003_11_14_17_21_15425 @t9)) (not @t10)))) % 0.40/0.60 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.40/0.60 (define @t56 () (forall @t13 (not @t12))) % 0.40/0.60 (define @t57 () (not @t56)) % 0.40/0.60 (define @t58 () (forall @t13 (not @t17))) % 0.40/0.60 (define @t59 () (not @t58)) % 0.40/0.60 (define @t60 () (forall @t13 (not @t21))) % 0.40/0.60 (define @t61 () (not @t60)) % 0.40/0.60 (define @t62 () (not @t54)) % 0.40/0.60 (define @t63 () (forall @t13 (or (not (tptp.rs tptp.i2003_11_14_17_21_15425 @t9)) (not @t15)))) % 0.40/0.60 (define @t64 () (not @t63)) % 0.40/0.60 (define @t65 () (forall @t13 (or (not (tptp.rf1 tptp.i2003_11_14_17_21_15425 @t9)) (not @t19)))) % 0.40/0.60 (define @t66 () (not @t65)) % 0.40/0.60 (define @t67 () (and @t66 @t64 @t62)) % 0.40/0.60 (define @t68 () (= @t50 @t67)) % 0.40/0.60 (define @t69 () (@list false false)) % 0.40/0.60 (define @t70 () (not @t67)) % 0.40/0.60 (define @t71 () (@list false)) % 0.40/0.60 (define @t72 () (@list @t67)) % 0.40/0.60 (define @t73 () (tptp.cp @t55)) % 0.40/0.60 (define @t74 () (not @t73)) % 0.40/0.60 (define @t75 () (tptp.rf tptp.i2003_11_14_17_21_15425 @t55)) % 0.40/0.60 (define @t76 () (not @t75)) % 0.40/0.60 (define @t77 () (or @t76 @t74)) % 0.40/0.60 (define @t78 () (@list true)) % 0.40/0.60 (define @t79 () (@list @t77)) % 0.40/0.60 (define @t80 () (forall @t13 (not (tptp.ra_Px1 @t55 @t9)))) % 0.40/0.60 (define @t81 () (= @t73 @t80)) % 0.40/0.60 (define @t82 () (@quantifiers_skolemize @t65 0)) % 0.40/0.60 (define @t83 () (tptp.cpxcomp @t82)) % 0.40/0.60 (define @t84 () (not @t83)) % 0.40/0.60 (define @t85 () (tptp.rf1 tptp.i2003_11_14_17_21_15425 @t82)) % 0.40/0.60 (define @t86 () (not @t85)) % 0.40/0.60 (define @t87 () (or @t86 @t84)) % 0.40/0.60 (define @t88 () (@list @t87)) % 0.40/0.60 (define @t89 () (forall @t35 (not (tptp.ra_Px1 @t82 @t33)))) % 0.40/0.60 (define @t90 () (not @t89)) % 0.40/0.60 (define @t91 () (= @t83 @t90)) % 0.40/0.60 (define @t92 () (@quantifiers_skolemize @t89 0)) % 0.40/0.60 (define @t93 () (tptp.ra_Px1 @t82 @t92)) % 0.40/0.60 (define @t94 () (not (not @t93))) % 0.40/0.60 (define @t95 () (not @t46)) % 0.40/0.60 (define @t96 () (not @t20)) % 0.40/0.60 (define @t97 () (@quantifiers_skolemize @t63 0)) % 0.40/0.60 (define @t98 () (@list tptp.i2003_11_14_17_21_15425 @t97)) % 0.40/0.60 (define @t99 () (tptp.rs tptp.i2003_11_14_17_21_15425 @t97)) % 0.40/0.60 (define @t100 () (not @t99)) % 0.40/0.60 (define @t101 () (or @t100 (not (tptp.cowlThing @t97)))) % 0.40/0.60 (define @t102 () (tptp.rf1 tptp.i2003_11_14_17_21_15425 @t97)) % 0.40/0.60 (define @t103 () (or @t100 @t102)) % 0.40/0.60 (define @t104 () (= @t82 @t97)) % 0.40/0.60 (define @t105 () (not @t102)) % 0.40/0.60 (define @t106 () (or @t86 @t105 @t104)) % 0.40/0.60 (define @t107 () (@list false false false)) % 0.40/0.60 (define @t108 () (not @t42)) % 0.40/0.60 (define @t109 () (not @t11)) % 0.40/0.60 (define @t110 () (or @t109 @t108 @t41)) % 0.40/0.60 (define @t111 () (tptp.rf tptp.i2003_11_14_17_21_15425 @t97)) % 0.40/0.60 (define @t112 () (not @t111)) % 0.40/0.60 (define @t113 () (or @t76 @t112 (= @t55 @t97))) % 0.40/0.60 (define @t114 () (forall @t44 @t110)) % 0.40/0.60 (define @t115 () (= @t97 @t55)) % 0.40/0.60 (define @t116 () (or @t76 @t112 @t115)) % 0.40/0.60 (define @t117 () (or @t100 @t111)) % 0.40/0.60 (define @t118 () (tptp.ra_Px1 @t55 @t92)) % 0.40/0.60 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.40/0.60 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.40/0.60 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.40/0.60 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.40/0.60 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cpxcomp @t2)) (tptp.cpxcomp @t1)))) % 0.40/0.60 (assume @p6 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.40/0.60 (assume @p7 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.40/0.60 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.40/0.60 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.40/0.60 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf1 @t2 @t5)) (tptp.rf1 @t1 @t5)))) % 0.40/0.60 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf1 @t5 @t2)) (tptp.rf1 @t5 @t1)))) % 0.40/0.60 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.40/0.60 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.40/0.60 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t2 @t5)) (tptp.rinvF1 @t1 @t5)))) % 0.40/0.60 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t5 @t2)) (tptp.rinvF1 @t5 @t1)))) % 0.40/0.60 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rinvS @t2 @t5)) (tptp.rinvS @t1 @t5)))) % 0.40/0.60 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rinvS @t5 @t2)) (tptp.rinvS @t5 @t1)))) % 0.40/0.60 (assume @p18 (forall @t6 (=> (and @t3 (tptp.rs @t2 @t5)) (tptp.rs @t1 @t5)))) % 0.40/0.60 (assume @p19 (forall @t6 (=> (and @t3 (tptp.rs @t5 @t2)) (tptp.rs @t5 @t1)))) % 0.40/0.60 (assume @p20 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.40/0.60 (assume @p21 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.40/0.60 (assume @p22 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.40/0.60 (assume @p23 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.40/0.60 (assume @p24 @t26) % 0.40/0.60 (assume @p25 @t32) % 0.40/0.60 (assume @p26 @t39) % 0.40/0.60 (assume @p27 @t45) % 0.40/0.60 (assume @p28 @t48) % 0.40/0.60 (assume @p29 (forall @t49 (= (tptp.rinvF @t7 @t9) (tptp.rf @t9 @t7)))) % 0.40/0.60 (assume @p30 (forall @t49 (= (tptp.rinvF1 @t7 @t9) (tptp.rf1 @t9 @t7)))) % 0.40/0.60 (assume @p31 (forall @t49 (= (tptp.rinvS @t7 @t9) (tptp.rs @t9 @t7)))) % 0.40/0.60 (assume @p32 (forall @t44 (=> (and @t16 (tptp.rs @t7 @t40)) @t41))) % 0.40/0.60 (assume @p33 @t50) % 0.40/0.60 (assume @p34 @t51) % 0.40/0.60 (assume @p35 @t52) % 0.40/0.60 (step @p36 :rule bool-double-not-elim :args (@t53)) % 0.40/0.60 (step @p37 :rule exists-elim :args ((= @t28 (not @t53)))) % 0.40/0.60 (step @p38 :rule cong :premises (@p37) :args (@t29)) % 0.40/0.60 (step @p39 :rule trans :premises (@p38 @p36)) % 0.40/0.60 (step @p40 :rule refl :args (@t30)) % 0.40/0.60 (step @p41 :rule cong :premises (@p40 @p39) :args (@t31)) % 0.40/0.60 (step @p42 :rule cong :premises (@p41) :args (@t32)) % 0.40/0.60 (step @p43 :rule eq_resolve :premises (@p25 @p42)) % 0.40/0.60 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t55))) % 0.40/0.60 (step @p45 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.40/0.60 (step @p46 :rule cong :premises (@p45) :args (@t56)) % 0.40/0.60 (step @p47 :rule cong :premises (@p46) :args (@t57)) % 0.40/0.60 (step @p48 :rule exists-elim :args ((= @t14 @t57))) % 0.40/0.60 (step @p49 :rule trans :premises (@p48 @p47)) % 0.40/0.60 (step @p50 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.40/0.60 (step @p51 :rule cong :premises (@p50) :args (@t58)) % 0.40/0.60 (step @p52 :rule cong :premises (@p51) :args (@t59)) % 0.40/0.60 (step @p53 :rule exists-elim :args ((= @t18 @t59))) % 0.40/0.60 (step @p54 :rule trans :premises (@p53 @p52)) % 0.40/0.60 (step @p55 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.40/0.60 (step @p56 :rule cong :premises (@p55) :args (@t60)) % 0.40/0.60 (step @p57 :rule cong :premises (@p56) :args (@t61)) % 0.40/0.60 (step @p58 :rule exists-elim :args ((= @t22 @t61))) % 0.40/0.60 (step @p59 :rule trans :premises (@p58 @p57)) % 0.40/0.60 (step @p60 :rule nary_cong :premises (@p59 @p54 @p49) :args (@t23)) % 0.40/0.60 (step @p61 :rule refl :args (@t24)) % 0.40/0.60 (step @p62 :rule cong :premises (@p61 @p60) :args (@t25)) % 0.40/0.60 (step @p63 :rule cong :premises (@p62) :args (@t26)) % 0.40/0.60 (step @p64 :rule eq_resolve :premises (@p24 @p63)) % 0.40/0.60 (step @p65 :rule instantiate :premises (@p64) :args ((@list tptp.i2003_11_14_17_21_15425))) % 0.40/0.60 (step @p66 :rule cnf_equiv_pos1 :args (@t68)) % 0.40/0.60 (step @p67 :rule reordering :premises (@p66) :args ((or (not @t50) @t67 (not @t68)))) % 0.40/0.60 (step @p68 :rule chain_m_resolution :premises (@p67 @p33 @p65) :args (@t67 @t69 (@list @t50 @t68))) % 0.40/0.60 (step @p69 :rule cnf_and_pos :args (@t67 2)) % 0.40/0.60 (step @p70 :rule reordering :premises (@p69) :args ((or @t62 @t70))) % 0.40/0.60 (step @p71 :rule chain_m_resolution :premises (@p70 @p68) :args (@t62 @t71 @t72)) % 0.40/0.60 (step @p72 :rule skolemize :premises (@p71)) % 0.40/0.60 (step @p73 :rule bool-double-not-elim :args (@t73)) % 0.40/0.60 (step @p74 :rule refl :args (@t77)) % 0.40/0.60 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t77 (not @t74)))) % 0.40/0.60 (step @p76 :rule cnf_or_neg :args (@t77 1)) % 0.40/0.60 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.40/0.60 (step @p78 :rule reordering :premises (@p77) :args ((or @t73 @t77))) % 0.40/0.60 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t73 @t78 @t79)) % 0.40/0.60 (step @p80 :rule cnf_equiv_pos1 :args (@t81)) % 0.40/0.60 (step @p81 :rule reordering :premises (@p80) :args ((or @t74 @t80 (not @t81)))) % 0.40/0.60 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p44) :args (@t80 @t69 (@list @t73 @t81))) % 0.40/0.60 (step @p83 :rule exists-elim :args ((= @t36 (not (forall @t35 (not @t34)))))) % 0.40/0.60 (step @p84 :rule refl :args (@t37)) % 0.40/0.60 (step @p85 :rule cong :premises (@p84 @p83) :args (@t38)) % 0.40/0.60 (step @p86 :rule cong :premises (@p85) :args (@t39)) % 0.40/0.60 (step @p87 :rule eq_resolve :premises (@p26 @p86)) % 0.40/0.60 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t82))) % 0.40/0.60 (step @p89 :rule cnf_and_pos :args (@t67 0)) % 0.40/0.60 (step @p90 :rule reordering :premises (@p89) :args ((or @t66 @t70))) % 0.40/0.60 (step @p91 :rule chain_m_resolution :premises (@p90 @p68) :args (@t66 @t71 @t72)) % 0.40/0.60 (step @p92 :rule skolemize :premises (@p91)) % 0.40/0.60 (step @p93 :rule bool-double-not-elim :args (@t83)) % 0.40/0.60 (step @p94 :rule refl :args (@t87)) % 0.40/0.60 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t87 (not @t84)))) % 0.40/0.60 (step @p96 :rule cnf_or_neg :args (@t87 1)) % 0.40/0.60 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.40/0.60 (step @p98 :rule reordering :premises (@p97) :args ((or @t83 @t87))) % 0.40/0.60 (step @p99 :rule chain_m_resolution :premises (@p98 @p92) :args (@t83 @t78 @t88)) % 0.40/0.60 (step @p100 :rule cnf_equiv_pos1 :args (@t91)) % 0.40/0.60 (step @p101 :rule reordering :premises (@p100) :args ((or @t84 @t90 (not @t91)))) % 0.40/0.60 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p88) :args (@t90 @t69 (@list @t83 @t91))) % 0.40/0.60 (step @p103 :rule refl :args (@t93)) % 0.40/0.60 (step @p104 :rule bool-double-not-elim :args (@t89)) % 0.40/0.60 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t90) @t93))) % 0.40/0.60 (step @p106 :rule bool-double-not-elim :args (@t93)) % 0.40/0.60 (step @p107 :rule refl :args (@t90)) % 0.40/0.60 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t90 @t94))) % 0.40/0.60 (assume-push @p205 @t90) % 0.40/0.60 (step @p110 :rule skolemize :premises (@p102)) % 0.40/0.60 (step-pop @p206 :rule scope :premises (@p110)) % 0.40/0.60 (step @p111 :rule process_scope :premises (@p206) :args (@t94)) % 0.40/0.60 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 0.40/0.60 (step @p114 :rule implies_elim :premises (@p113)) % 0.40/0.60 (step @p115 :rule eq_resolve :premises (@p114 @p105)) % 0.40/0.60 (step @p116 :rule chain_m_resolution :premises (@p115 @p102) :args (@t93 @t78 (@list @t89))) % 0.40/0.60 (step @p117 :rule true_intro :premises (@p116)) % 0.40/0.60 (step @p118 :rule refl :args (@t92)) % 0.40/0.60 (step @p119 :rule aci_norm :args ((= (or (or @t96 @t95) @t41) (or @t96 @t95 @t41)))) % 0.40/0.60 (step @p120 :rule refl :args (@t41)) % 0.40/0.60 (step @p121 :rule bool-and-de-morgan :args (@t20 @t46 true)) % 0.40/0.60 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t47) @t41))) % 0.40/0.60 (step @p123 :rule trans :premises (@p122 @p119)) % 0.40/0.60 (step @p124 :rule bool-impl-elim :args (@t47 @t41)) % 0.40/0.60 (step @p125 :rule trans :premises (@p124 @p123)) % 0.40/0.60 (step @p126 :rule cong :premises (@p125) :args (@t48)) % 0.40/0.60 (step @p127 :rule eq_resolve :premises (@p28 @p126)) % 0.40/0.60 (step @p128 :rule instantiate :premises (@p127) :args ((@list tptp.i2003_11_14_17_21_15425 @t82 @t97))) % 0.40/0.60 (step @p129 :rule bool-impl-elim :args (@t16 @t20)) % 0.40/0.60 (step @p130 :rule cong :premises (@p129) :args (@t52)) % 0.40/0.60 (step @p131 :rule eq_resolve :premises (@p35 @p130)) % 0.40/0.60 (step @p132 :rule instantiate :premises (@p131) :args (@t98)) % 0.40/0.60 (step @p133 :rule cnf_and_pos :args (@t67 1)) % 0.40/0.60 (step @p134 :rule reordering :premises (@p133) :args ((or @t64 @t70))) % 0.40/0.60 (step @p135 :rule chain_m_resolution :premises (@p134 @p68) :args (@t64 @t71 @t72)) % 0.40/0.60 (step @p136 :rule skolemize :premises (@p135)) % 0.40/0.60 (step @p137 :rule bool-double-not-elim :args (@t99)) % 0.40/0.60 (step @p138 :rule refl :args (@t101)) % 0.40/0.60 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t101 (not @t100)))) % 0.40/0.60 (step @p140 :rule cnf_or_neg :args (@t101 0)) % 0.40/0.60 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.40/0.60 (step @p142 :rule reordering :premises (@p141) :args ((or @t99 @t101))) % 0.40/0.60 (step @p143 :rule chain_m_resolution :premises (@p142 @p136) :args (@t99 @t78 (@list @t101))) % 0.40/0.60 (step @p144 :rule cnf_or_pos :args (@t103)) % 0.40/0.60 (step @p145 :rule reordering :premises (@p144) :args ((or @t100 @t102 (not @t103)))) % 0.40/0.60 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p132) :args (@t102 @t69 (@list @t99 @t103))) % 0.40/0.60 (step @p147 :rule bool-double-not-elim :args (@t85)) % 0.40/0.60 (step @p148 :rule nary_cong :premises (@p94 @p147) :args ((or @t87 (not @t86)))) % 0.40/0.60 (step @p149 :rule cnf_or_neg :args (@t87 0)) % 0.40/0.60 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 0.40/0.60 (step @p151 :rule reordering :premises (@p150) :args ((or @t85 @t87))) % 0.40/0.60 (step @p152 :rule chain_m_resolution :premises (@p151 @p92) :args (@t85 @t78 @t88)) % 0.40/0.60 (step @p153 :rule cnf_or_pos :args (@t106)) % 0.40/0.60 (step @p154 :rule reordering :premises (@p153) :args ((or @t86 @t105 @t104 (not @t106)))) % 0.40/0.60 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p146 @p128) :args (@t104 @t107 (@list @t85 @t102 @t106))) % 0.40/0.60 (step @p156 :rule symm :premises (@p155)) % 0.40/0.60 (step @p157 :rule aci_norm :args ((= (or (or @t109 @t108) @t41) @t110))) % 0.40/0.60 (step @p158 :rule bool-and-de-morgan :args (@t11 @t42 true)) % 0.40/0.60 (step @p159 :rule nary_cong :premises (@p158 @p120) :args ((or (not @t43) @t41))) % 0.40/0.60 (step @p160 :rule trans :premises (@p159 @p157)) % 0.40/0.60 (step @p161 :rule bool-impl-elim :args (@t43 @t41)) % 0.40/0.60 (step @p162 :rule trans :premises (@p161 @p160)) % 0.40/0.60 (step @p163 :rule cong :premises (@p162) :args (@t45)) % 0.40/0.60 (step @p164 :rule eq_resolve :premises (@p27 @p163)) % 0.40/0.60 (step @p165 :rule eq-symm :args (@t55 @t97)) % 0.40/0.60 (step @p166 :rule refl :args (@t112)) % 0.40/0.60 (step @p167 :rule refl :args (@t76)) % 0.40/0.60 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165) :args (@t113)) % 0.40/0.60 (step @p169 :rule refl :args (@t114)) % 0.40/0.60 (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t114 @t113))) % 0.40/0.60 (assume-push @p207 @t114) % 0.40/0.60 (step @p172 :rule instantiate :premises (@p164) :args ((@list tptp.i2003_11_14_17_21_15425 @t55 @t97))) % 0.40/0.60 (step-pop @p208 :rule scope :premises (@p172)) % 0.40/0.60 (step @p173 :rule process_scope :premises (@p208) :args (@t113)) % 0.40/0.60 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 0.40/0.60 (step @p176 :rule implies_elim :premises (@p175)) % 0.40/0.60 (step @p177 :rule chain_m_resolution :premises (@p176 @p164) :args (@t116 @t71 (@list @t114))) % 0.40/0.60 (step @p178 :rule bool-impl-elim :args (@t16 @t11)) % 0.40/0.60 (step @p179 :rule cong :premises (@p178) :args (@t51)) % 0.40/0.60 (step @p180 :rule eq_resolve :premises (@p34 @p179)) % 0.40/0.60 (step @p181 :rule instantiate :premises (@p180) :args (@t98)) % 0.40/0.60 (step @p182 :rule cnf_or_pos :args (@t117)) % 0.40/0.60 (step @p183 :rule reordering :premises (@p182) :args ((or @t100 @t111 (not @t117)))) % 0.40/0.60 (step @p184 :rule chain_m_resolution :premises (@p183 @p143 @p181) :args (@t111 @t69 (@list @t99 @t117))) % 0.40/0.60 (step @p185 :rule bool-double-not-elim :args (@t75)) % 0.40/0.60 (step @p186 :rule nary_cong :premises (@p74 @p185) :args ((or @t77 (not @t76)))) % 0.40/0.60 (step @p187 :rule cnf_or_neg :args (@t77 0)) % 0.40/0.60 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.40/0.60 (step @p189 :rule reordering :premises (@p188) :args ((or @t75 @t77))) % 0.40/0.60 (step @p190 :rule chain_m_resolution :premises (@p189 @p72) :args (@t75 @t78 @t79)) % 0.40/0.60 (step @p191 :rule cnf_or_pos :args (@t116)) % 0.40/0.60 (step @p192 :rule reordering :premises (@p191) :args ((or @t76 @t112 @t115 (not @t116)))) % 0.40/0.60 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p184 @p177) :args (@t115 @t107 (@list @t75 @t111 @t116))) % 0.40/0.60 (step @p194 :rule symm :premises (@p193)) % 0.40/0.60 (step @p195 :rule trans :premises (@p194 @p156)) % 0.40/0.60 (step @p196 :rule cong :premises (@p195 @p118) :args (@t118)) % 0.40/0.60 (step @p197 :rule trans :premises (@p196 @p117)) % 0.40/0.60 (step @p198 :rule true_elim :premises (@p197)) % 0.40/0.60 (assume-push @p209 @t80) % 0.40/0.60 (step @p200 :rule instantiate :premises (@p82) :args ((@list @t92))) % 0.40/0.60 (step-pop @p210 :rule scope :premises (@p200)) % 0.40/0.60 (step @p201 :rule process_scope :premises (@p210) :args ((not @t118))) % 0.40/0.60 (step @p203 :rule implies_elim :premises (@p201)) % 0.40/0.60 (step @p204 false :rule chain_m_resolution :premises (@p203 @p198 @p82) :args (false @t69 (@list @t118 @t80))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------