%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS142+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 : n023.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 08:29:00 AM UTC 2026 % Result : Theorem 0.38s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS142+1 : TPTP v9.2.1. Released v3.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n023.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 05:28:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.55 % SZS status Theorem % 0.38/0.55 % SZS output start Proof % 0.38/0.55 ( % 0.38/0.55 (declare-sort $$unsorted 0) % 0.38/0.55 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.38/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.55 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.55 (define @t3 () (= @t2 @t1)) % 0.38/0.55 (define @t4 () (@list @t2 @t1)) % 0.38/0.55 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.55 (define @t6 () (@list @t2 @t1 @t5)) % 0.38/0.55 (define @t7 () (@var "X" $$unsorted)) % 0.38/0.55 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.38/0.55 (define @t9 () (tptp.cowlThing @t7)) % 0.38/0.55 (define @t10 () (@list @t7)) % 0.38/0.55 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.38/0.55 (define @t12 () (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.38/0.55 (define @t13 () (@var "Y1" $$unsorted)) % 0.38/0.55 (define @t14 () (@var "Y0" $$unsorted)) % 0.38/0.55 (define @t15 () (= @t14 @t13)) % 0.38/0.55 (define @t16 () (tptp.rp @t7 @t13)) % 0.38/0.55 (define @t17 () (tptp.rp @t7 @t14)) % 0.38/0.55 (define @t18 () (and @t17 @t16)) % 0.38/0.55 (define @t19 () (@list @t14 @t13)) % 0.38/0.55 (define @t20 () (forall @t19 (=> @t18 @t15))) % 0.38/0.55 (define @t21 () (@list @t14)) % 0.38/0.55 (define @t22 () (exists @t21 @t17)) % 0.38/0.55 (define @t23 () (and @t22 @t20)) % 0.38/0.55 (define @t24 () (tptp.cc @t7)) % 0.38/0.55 (define @t25 () (=> @t24 @t23)) % 0.38/0.55 (define @t26 () (forall @t10 @t25)) % 0.38/0.55 (define @t27 () (=> @t24 @t20)) % 0.38/0.55 (define @t28 () (forall @t10 @t27)) % 0.38/0.55 (define @t29 () (=> @t24 @t22)) % 0.38/0.55 (define @t30 () (forall @t10 @t29)) % 0.38/0.55 (define @t31 () (and @t11 @t12 @t30 @t28)) % 0.38/0.55 (define @t32 () (not @t31)) % 0.38/0.55 (define @t33 () (@var "BOUND_VARIABLE_7609" $$unsorted)) % 0.38/0.55 (define @t34 () (@var "BOUND_VARIABLE_7607" $$unsorted)) % 0.38/0.55 (define @t35 () (or (not (tptp.rp @t7 @t34)) (not (tptp.rp @t7 @t33)) (= @t34 @t33))) % 0.38/0.55 (define @t36 () (not @t17)) % 0.38/0.55 (define @t37 () (not (forall @t21 @t36))) % 0.38/0.55 (define @t38 () (and @t37 @t35)) % 0.38/0.55 (define @t39 () (not @t24)) % 0.38/0.55 (define @t40 () (or @t39 @t38)) % 0.38/0.56 (define @t41 () (forall (@list @t7 @t34 @t33) @t40)) % 0.38/0.56 (define @t42 () (@list @t34 @t33)) % 0.38/0.56 (define @t43 () (forall @t42 @t40)) % 0.38/0.56 (define @t44 () (forall @t42 @t35)) % 0.38/0.56 (define @t45 () (@list @t14 @t13)) % 0.38/0.56 (define @t46 () (forall @t42 @t37)) % 0.38/0.56 (define @t47 () (and @t46 @t44)) % 0.38/0.56 (define @t48 () (forall @t42 @t38)) % 0.38/0.56 (define @t49 () (or @t39 @t48)) % 0.38/0.56 (define @t50 () (not @t16)) % 0.38/0.56 (define @t51 () (or @t36 @t50 @t15)) % 0.38/0.56 (define @t52 () (forall @t19 @t51)) % 0.38/0.56 (define @t53 () (and @t37 @t52)) % 0.38/0.56 (define @t54 () (@var "BOUND_VARIABLE_7632" $$unsorted)) % 0.38/0.56 (define @t55 () (@var "BOUND_VARIABLE_7630" $$unsorted)) % 0.38/0.56 (define @t56 () (= @t55 @t54)) % 0.38/0.56 (define @t57 () (not (tptp.rp @t7 @t54))) % 0.38/0.56 (define @t58 () (not (tptp.rp @t7 @t55))) % 0.38/0.56 (define @t59 () (or @t39 @t58 @t57 @t56)) % 0.38/0.56 (define @t60 () (@list @t7 @t55 @t54)) % 0.38/0.56 (define @t61 () (forall @t60 @t59)) % 0.38/0.56 (define @t62 () (@quantifiers_skolemize @t61 2)) % 0.38/0.56 (define @t63 () (@quantifiers_skolemize @t61 1)) % 0.38/0.56 (define @t64 () (@quantifiers_skolemize @t61 0)) % 0.38/0.56 (define @t65 () (tptp.rp @t64 @t63)) % 0.38/0.56 (define @t66 () (not @t65)) % 0.38/0.56 (define @t67 () (tptp.rp @t64 @t62)) % 0.38/0.56 (define @t68 () (not @t67)) % 0.38/0.56 (define @t69 () (or @t68 @t66 (= @t62 @t63))) % 0.38/0.56 (define @t70 () (not (forall @t21 (not (tptp.rp @t64 @t14))))) % 0.38/0.56 (define @t71 () (and @t70 @t69)) % 0.38/0.56 (define @t72 () (tptp.cc @t64)) % 0.38/0.56 (define @t73 () (not @t72)) % 0.38/0.56 (define @t74 () (or @t73 @t71)) % 0.38/0.56 (define @t75 () (= @t63 @t62)) % 0.38/0.56 (define @t76 () (or @t68 @t66 @t75)) % 0.38/0.56 (define @t77 () (and @t70 @t76)) % 0.38/0.56 (define @t78 () (or @t73 @t77)) % 0.38/0.56 (define @t79 () (@list false)) % 0.38/0.56 (define @t80 () (@list @t41)) % 0.38/0.56 (define @t81 () (forall @t10 (or @t39 @t37))) % 0.38/0.56 (define @t82 () (@quantifiers_skolemize @t81 0)) % 0.38/0.56 (define @t83 () (not (forall @t21 (not (tptp.rp @t82 @t14))))) % 0.38/0.56 (define @t84 () (not (tptp.rp @t82 @t63))) % 0.38/0.56 (define @t85 () (or @t84 @t84 (= @t63 @t63))) % 0.38/0.56 (define @t86 () (and @t83 @t85)) % 0.38/0.56 (define @t87 () (not (tptp.cc @t82))) % 0.38/0.56 (define @t88 () (or @t87 @t86)) % 0.38/0.56 (define @t89 () (or @t87 @t83)) % 0.38/0.56 (define @t90 () (not @t89)) % 0.38/0.56 (define @t91 () (not @t81)) % 0.38/0.56 (define @t92 () (forall @t10 @t8)) % 0.38/0.56 (define @t93 () (@list @t7)) % 0.38/0.56 (define @t94 () (@var "BOUND_VARIABLE_7585" $$unsorted)) % 0.38/0.56 (define @t95 () (forall @t10 @t9)) % 0.38/0.56 (define @t96 () (@var "BOUND_VARIABLE_7580" $$unsorted)) % 0.38/0.56 (define @t97 () (and @t95 @t92)) % 0.38/0.56 (define @t98 () (forall (@list @t94) (not (tptp.cowlNothing @t94)))) % 0.38/0.56 (define @t99 () (forall (@list @t96) (tptp.cowlThing @t96))) % 0.38/0.56 (define @t100 () (or @t58 @t57 @t56)) % 0.38/0.56 (define @t101 () (or @t39 @t100)) % 0.38/0.56 (define @t102 () (forall @t60 @t101)) % 0.38/0.56 (define @t103 () (@list @t55 @t54)) % 0.38/0.56 (define @t104 () (forall @t103 @t101)) % 0.38/0.56 (define @t105 () (forall @t103 @t100)) % 0.38/0.56 (define @t106 () (or @t39 @t105)) % 0.38/0.56 (define @t107 () (not @t61)) % 0.38/0.56 (define @t108 () (or @t73 @t66 @t68 @t75)) % 0.38/0.56 (define @t109 () (not @t108)) % 0.38/0.56 (define @t110 () (@list true)) % 0.38/0.56 (define @t111 () (@list @t108)) % 0.38/0.56 (define @t112 () (not @t76)) % 0.38/0.56 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1)))) % 0.38/0.56 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.38/0.56 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.38/0.56 (assume @p4 (forall @t6 (=> (and @t3 (tptp.rp @t2 @t5)) (tptp.rp @t1 @t5)))) % 0.38/0.56 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rp @t5 @t2)) (tptp.rp @t5 @t1)))) % 0.38/0.56 (assume @p6 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.38/0.56 (assume @p7 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.38/0.56 (assume @p8 @t11) % 0.38/0.56 (assume @p9 @t12) % 0.38/0.56 (assume @p10 @t26) % 0.38/0.56 (assume @p11 @t32) % 0.38/0.56 (assume @p12 true) % 0.38/0.56 (step @p13 :rule quant-merge-prenex :args ((= (forall @t10 @t43) @t41))) % 0.38/0.56 (step @p14 :rule alpha_equiv :args (@t44 (@list @t34 @t33) @t45)) % 0.38/0.56 (step @p15 :rule quant-unused-vars :args ((= @t46 @t37))) % 0.38/0.56 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t47)) % 0.38/0.56 (step @p17 :rule quant-miniscope-and :args ((= @t48 @t47))) % 0.38/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.56 (step @p19 :rule refl :args (@t39)) % 0.38/0.56 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t49)) % 0.38/0.56 (step @p21 :rule quant-miniscope-or :args ((= @t43 @t49))) % 0.38/0.56 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.56 (step @p23 :rule symm :premises (@p22)) % 0.38/0.56 (step @p24 :rule cong :premises (@p23) :args ((forall @t10 (or @t39 @t53)))) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p13)) % 0.38/0.56 (step @p26 :rule bool-impl-elim :args (@t24 @t53)) % 0.38/0.56 (step @p27 :rule cong :premises (@p26) :args ((forall @t10 (=> @t24 @t53)))) % 0.38/0.56 (step @p28 :rule trans :premises (@p27 @p25)) % 0.38/0.56 (step @p29 :rule aci_norm :args ((= (or (or @t36 @t50) @t15) @t51))) % 0.38/0.56 (step @p30 :rule refl :args (@t15)) % 0.38/0.56 (step @p31 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 0.38/0.56 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t18) @t15))) % 0.38/0.56 (step @p33 :rule trans :premises (@p32 @p29)) % 0.38/0.56 (step @p34 :rule bool-impl-elim :args (@t18 @t15)) % 0.38/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.56 (step @p36 :rule cong :premises (@p35) :args (@t20)) % 0.38/0.56 (step @p37 :rule exists-elim :args ((= @t22 @t37))) % 0.38/0.56 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t23)) % 0.38/0.56 (step @p39 :rule refl :args (@t24)) % 0.38/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args (@t25)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40) :args (@t26)) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p28)) % 0.38/0.56 (step @p43 :rule eq_resolve :premises (@p10 @p42)) % 0.38/0.56 (step @p44 :rule eq-symm :args (@t62 @t63)) % 0.38/0.56 (step @p45 :rule refl :args (@t66)) % 0.38/0.56 (step @p46 :rule refl :args (@t68)) % 0.38/0.56 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t69)) % 0.38/0.56 (step @p48 :rule refl :args (@t70)) % 0.38/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t71)) % 0.38/0.56 (step @p50 :rule refl :args (@t73)) % 0.38/0.56 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t74)) % 0.38/0.56 (step @p52 :rule refl :args (@t41)) % 0.38/0.56 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t41 @t74))) % 0.38/0.56 (assume-push @p169 @t41) % 0.38/0.56 (step @p55 :rule instantiate :premises (@p43) :args ((@list @t64 @t62 @t63))) % 0.38/0.56 (step-pop @p170 :rule scope :premises (@p55)) % 0.38/0.56 (step @p56 :rule process_scope :premises (@p170) :args (@t74)) % 0.38/0.56 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.38/0.56 (step @p59 :rule implies_elim :premises (@p58)) % 0.38/0.56 (step @p60 :rule chain_m_resolution :premises (@p59 @p43) :args (@t78 @t79 @t80)) % 0.38/0.56 (step @p61 :rule aci_norm :args ((= (and @t83 true) @t83))) % 0.38/0.56 (step @p62 :rule absorb :args ((= (or @t84 @t84 true) true))) % 0.38/0.56 (step @p63 :rule eq-refl :args (@t63)) % 0.38/0.56 (step @p64 :rule refl :args (@t84)) % 0.38/0.56 (step @p65 :rule nary_cong :premises (@p64 @p64 @p63) :args (@t85)) % 0.38/0.56 (step @p66 :rule trans :premises (@p65 @p62)) % 0.38/0.56 (step @p67 :rule refl :args (@t83)) % 0.38/0.56 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t86)) % 0.38/0.56 (step @p69 :rule trans :premises (@p68 @p61)) % 0.38/0.56 (step @p70 :rule refl :args (@t87)) % 0.38/0.56 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t88)) % 0.38/0.56 (step @p72 :rule cong :premises (@p52 @p71) :args ((=> @t41 @t88))) % 0.38/0.56 (assume-push @p171 @t41) % 0.38/0.56 (step @p74 :rule instantiate :premises (@p43) :args ((@list @t82 @t63 @t63))) % 0.38/0.56 (step-pop @p172 :rule scope :premises (@p74)) % 0.38/0.56 (step @p75 :rule process_scope :premises (@p172) :args (@t88)) % 0.38/0.56 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.38/0.56 (step @p78 :rule implies_elim :premises (@p77)) % 0.38/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p43) :args (@t89 @t79 @t80)) % 0.38/0.56 (step @p80 :rule refl :args (@t90)) % 0.38/0.56 (step @p81 :rule bool-double-not-elim :args (@t81)) % 0.38/0.56 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t91) @t90))) % 0.38/0.56 (assume-push @p173 @t91) % 0.38/0.56 (step @p84 :rule skolemize :premises (@p173)) % 0.38/0.56 (step-pop @p174 :rule scope :premises (@p84)) % 0.38/0.56 (step @p85 :rule process_scope :premises (@p174) :args (@t90)) % 0.38/0.56 (step @p87 :rule implies_elim :premises (@p85)) % 0.38/0.56 (step @p88 :rule eq_resolve :premises (@p87 @p82)) % 0.38/0.56 (step @p89 :rule chain_m_resolution :premises (@p88 @p79) :args (@t81 @t79 (@list @t89))) % 0.38/0.56 (step @p90 :rule alpha_equiv :args (@t92 @t93 (@list @t94))) % 0.38/0.56 (step @p91 :rule alpha_equiv :args (@t95 @t93 (@list @t96))) % 0.38/0.56 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t97)) % 0.38/0.56 (step @p93 :rule quant-miniscope-and :args ((= @t11 @t97))) % 0.38/0.56 (step @p94 :rule trans :premises (@p93 @p92)) % 0.38/0.56 (step @p95 :rule eq_resolve :premises (@p8 @p94)) % 0.38/0.56 (step @p96 :rule and_elim :premises (@p95) :args (1)) % 0.38/0.56 (step @p97 :rule and_elim :premises (@p95) :args (0)) % 0.38/0.56 (step @p98 :rule aci_norm :args ((= (and (and @t99 @t98) @t12 @t81 @t61) (and @t12 @t81 @t61 @t99 @t98)))) % 0.38/0.56 (step @p99 :rule aci_norm :args ((= @t101 @t59))) % 0.38/0.56 (step @p100 :rule cong :premises (@p99) :args (@t102)) % 0.38/0.56 (step @p101 :rule quant-merge-prenex :args ((= (forall @t10 @t104) @t102))) % 0.38/0.56 (step @p102 :rule alpha_equiv :args (@t105 (@list @t55 @t54) @t45)) % 0.38/0.56 (step @p103 :rule nary_cong :premises (@p19 @p102) :args (@t106)) % 0.38/0.56 (step @p104 :rule quant-miniscope-or :args ((= @t104 @t106))) % 0.38/0.56 (step @p105 :rule trans :premises (@p104 @p103)) % 0.38/0.56 (step @p106 :rule symm :premises (@p105)) % 0.38/0.56 (step @p107 :rule cong :premises (@p106) :args ((forall @t10 (or @t39 @t52)))) % 0.38/0.56 (step @p108 :rule trans :premises (@p107 @p101)) % 0.38/0.56 (step @p109 :rule trans :premises (@p108 @p100)) % 0.38/0.56 (step @p110 :rule bool-impl-elim :args (@t24 @t52)) % 0.38/0.56 (step @p111 :rule cong :premises (@p110) :args ((forall @t10 (=> @t24 @t52)))) % 0.38/0.56 (step @p112 :rule trans :premises (@p111 @p109)) % 0.38/0.56 (step @p113 :rule cong :premises (@p39 @p36) :args (@t27)) % 0.38/0.56 (step @p114 :rule cong :premises (@p113) :args (@t28)) % 0.38/0.56 (step @p115 :rule trans :premises (@p114 @p112)) % 0.38/0.56 (step @p116 :rule bool-impl-elim :args (@t24 @t37)) % 0.38/0.56 (step @p117 :rule cong :premises (@p116) :args ((forall @t10 (=> @t24 @t37)))) % 0.38/0.56 (step @p118 :rule cong :premises (@p39 @p37) :args (@t29)) % 0.38/0.56 (step @p119 :rule cong :premises (@p118) :args (@t30)) % 0.38/0.56 (step @p120 :rule trans :premises (@p119 @p117)) % 0.38/0.56 (step @p121 :rule refl :args (@t12)) % 0.38/0.56 (step @p122 :rule nary_cong :premises (@p94 @p121 @p120 @p115) :args (@t31)) % 0.38/0.56 (step @p123 :rule trans :premises (@p122 @p98)) % 0.38/0.56 (step @p124 :rule cong :premises (@p123) :args (@t32)) % 0.38/0.56 (step @p125 :rule eq_resolve :premises (@p11 @p124)) % 0.38/0.56 (step @p126 :rule not_and :premises (@p125)) % 0.38/0.56 (step @p127 :rule reordering :premises (@p126) :args ((or (not @t99) (not @t98) (not @t12) @t91 @t107))) % 0.38/0.56 (step @p128 :rule chain_m_resolution :premises (@p127 @p97 @p96 @p9 @p89) :args (@t107 (@list false false false false) (@list @t99 @t98 @t12 @t81))) % 0.38/0.56 (step @p129 :rule refl :args (@t109)) % 0.38/0.56 (step @p130 :rule bool-double-not-elim :args (@t61)) % 0.38/0.56 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t107) @t109))) % 0.38/0.56 (assume-push @p175 @t107) % 0.38/0.56 (step @p133 :rule skolemize :premises (@p175)) % 0.38/0.56 (step-pop @p176 :rule scope :premises (@p133)) % 0.38/0.56 (step @p134 :rule process_scope :premises (@p176) :args (@t109)) % 0.38/0.56 (step @p136 :rule implies_elim :premises (@p134)) % 0.38/0.56 (step @p137 :rule eq_resolve :premises (@p136 @p131)) % 0.38/0.56 (step @p138 :rule chain_m_resolution :premises (@p137 @p128) :args (@t109 @t110 (@list @t61))) % 0.38/0.56 (step @p139 :rule bool-double-not-elim :args (@t72)) % 0.38/0.56 (step @p140 :rule refl :args (@t108)) % 0.38/0.56 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t108 (not @t73)))) % 0.38/0.56 (step @p142 :rule cnf_or_neg :args (@t108 0)) % 0.38/0.56 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.38/0.56 (step @p144 :rule reordering :premises (@p143) :args ((or @t72 @t108))) % 0.38/0.56 (step @p145 :rule chain_m_resolution :premises (@p144 @p138) :args (@t72 @t110 @t111)) % 0.38/0.56 (step @p146 :rule cnf_or_pos :args (@t78)) % 0.38/0.56 (step @p147 :rule reordering :premises (@p146) :args ((or @t73 @t77 (not @t78)))) % 0.38/0.56 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p60) :args (@t77 (@list false false) (@list @t72 @t78))) % 0.38/0.56 (step @p149 :rule cnf_or_neg :args (@t108 3)) % 0.38/0.56 (step @p150 :rule chain_m_resolution :premises (@p149 @p138) :args ((not @t75) @t110 @t111)) % 0.38/0.56 (step @p151 :rule bool-double-not-elim :args (@t67)) % 0.38/0.56 (step @p152 :rule nary_cong :premises (@p140 @p151) :args ((or @t108 (not @t68)))) % 0.38/0.56 (step @p153 :rule cnf_or_neg :args (@t108 2)) % 0.38/0.56 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.38/0.56 (step @p155 :rule reordering :premises (@p154) :args ((or @t67 @t108))) % 0.38/0.56 (step @p156 :rule chain_m_resolution :premises (@p155 @p138) :args (@t67 @t110 @t111)) % 0.38/0.56 (step @p157 :rule bool-double-not-elim :args (@t65)) % 0.38/0.56 (step @p158 :rule nary_cong :premises (@p140 @p157) :args ((or @t108 (not @t66)))) % 0.38/0.56 (step @p159 :rule cnf_or_neg :args (@t108 1)) % 0.38/0.56 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.38/0.56 (step @p161 :rule reordering :premises (@p160) :args ((or @t65 @t108))) % 0.38/0.56 (step @p162 :rule chain_m_resolution :premises (@p161 @p138) :args (@t65 @t110 @t111)) % 0.38/0.56 (step @p163 :rule cnf_or_pos :args (@t76)) % 0.38/0.56 (step @p164 :rule reordering :premises (@p163) :args ((or @t66 @t68 @t75 @t112))) % 0.38/0.56 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p156 @p150) :args (@t112 (@list false false true) (@list @t65 @t67 @t75))) % 0.38/0.56 (step @p166 :rule cnf_and_pos :args (@t77 1)) % 0.38/0.56 (step @p167 :rule reordering :premises (@p166) :args ((or @t76 (not @t77)))) % 0.38/0.56 (step @p168 false :rule chain_m_resolution :premises (@p167 @p165 @p148) :args (false (@list true false) (@list @t76 @t77))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------