%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS113+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 : n012.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 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KRS113+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 05:27:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.37 % SZS status Unsatisfiable % 0.16/0.37 % SZS output start Proof % 0.16/0.38 ( % 0.16/0.38 (declare-sort $$unsorted 0) % 0.16/0.38 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.i2003_11_14_17_21_22376 $$unsorted) % 0.16/0.38 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.cpxcomp (-> $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.rinvS (-> $$unsorted $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.ca_Vx2 (-> $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.16/0.38 (define @t1 () (@var "B" $$unsorted)) % 0.16/0.38 (define @t2 () (@var "A" $$unsorted)) % 0.16/0.38 (define @t3 () (= @t2 @t1)) % 0.16/0.38 (define @t4 () (@list @t2 @t1)) % 0.16/0.38 (define @t5 () (@var "C" $$unsorted)) % 0.16/0.38 (define @t6 () (@list @t2 @t1 @t5)) % 0.16/0.38 (define @t7 () (@var "X" $$unsorted)) % 0.16/0.38 (define @t8 () (@list @t7)) % 0.16/0.38 (define @t9 () (tptp.cpxcomp @t7)) % 0.16/0.38 (define @t10 () (@var "Y" $$unsorted)) % 0.16/0.38 (define @t11 () (tptp.cp @t10)) % 0.16/0.38 (define @t12 () (tptp.rs @t7 @t10)) % 0.16/0.38 (define @t13 () (and @t12 @t11)) % 0.16/0.38 (define @t14 () (@list @t10)) % 0.16/0.38 (define @t15 () (exists @t14 @t13)) % 0.16/0.38 (define @t16 () (tptp.ca_Vx2 @t10)) % 0.16/0.38 (define @t17 () (tptp.rr @t7 @t10)) % 0.16/0.38 (define @t18 () (and @t17 @t16)) % 0.16/0.38 (define @t19 () (exists @t14 @t18)) % 0.16/0.38 (define @t20 () (@var "Y1" $$unsorted)) % 0.16/0.38 (define @t21 () (@var "Y0" $$unsorted)) % 0.16/0.38 (define @t22 () (= @t21 @t20)) % 0.16/0.38 (define @t23 () (tptp.rr @t7 @t20)) % 0.16/0.38 (define @t24 () (tptp.rr @t7 @t21)) % 0.16/0.38 (define @t25 () (and @t24 @t23)) % 0.16/0.38 (define @t26 () (@list @t21 @t20)) % 0.16/0.38 (define @t27 () (forall @t26 (=> @t25 @t22))) % 0.16/0.38 (define @t28 () (and @t27 @t19 @t15 @t9)) % 0.16/0.38 (define @t29 () (tptp.cUnsatisfiable @t7)) % 0.16/0.38 (define @t30 () (= @t29 @t28)) % 0.16/0.38 (define @t31 () (forall @t8 @t30)) % 0.16/0.38 (define @t32 () (tptp.ra_Px1 @t7 @t10)) % 0.16/0.38 (define @t33 () (exists @t14 @t32)) % 0.16/0.38 (define @t34 () (not @t33)) % 0.16/0.38 (define @t35 () (tptp.cp @t7)) % 0.16/0.38 (define @t36 () (= @t35 @t34)) % 0.16/0.38 (define @t37 () (forall @t8 @t36)) % 0.16/0.38 (define @t38 () (tptp.ra_Px1 @t7 @t21)) % 0.16/0.38 (define @t39 () (@list @t21)) % 0.16/0.38 (define @t40 () (exists @t39 @t38)) % 0.16/0.38 (define @t41 () (= @t9 @t40)) % 0.16/0.38 (define @t42 () (forall @t8 @t41)) % 0.16/0.38 (define @t43 () (tptp.rinvS @t7 @t10)) % 0.16/0.38 (define @t44 () (forall @t14 (=> @t43 @t11))) % 0.16/0.38 (define @t45 () (tptp.ca_Vx2 @t7)) % 0.16/0.38 (define @t46 () (= @t45 @t44)) % 0.16/0.38 (define @t47 () (forall @t8 @t46)) % 0.16/0.38 (define @t48 () (@list @t7 @t10)) % 0.16/0.38 (define @t49 () (forall @t48 (= @t43 (tptp.rs @t10 @t7)))) % 0.16/0.38 (define @t50 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_22376)) % 0.16/0.38 (define @t51 () (forall @t48 (=> @t12 @t17))) % 0.16/0.38 (define @t52 () (forall @t14 (or (not (tptp.rr tptp.i2003_11_14_17_21_22376 @t10)) (not @t16)))) % 0.16/0.38 (define @t53 () (@quantifiers_skolemize @t52 0)) % 0.16/0.38 (define @t54 () (forall @t14 (not @t13))) % 0.16/0.38 (define @t55 () (not @t54)) % 0.16/0.38 (define @t56 () (forall @t14 (not @t18))) % 0.16/0.38 (define @t57 () (not @t56)) % 0.16/0.38 (define @t58 () (not @t23)) % 0.16/0.38 (define @t59 () (not @t24)) % 0.16/0.38 (define @t60 () (@list tptp.i2003_11_14_17_21_22376)) % 0.16/0.38 (define @t61 () (tptp.cpxcomp tptp.i2003_11_14_17_21_22376)) % 0.16/0.38 (define @t62 () (forall @t14 (or (not (tptp.rs tptp.i2003_11_14_17_21_22376 @t10)) (not @t11)))) % 0.16/0.38 (define @t63 () (not @t62)) % 0.16/0.38 (define @t64 () (not @t52)) % 0.16/0.38 (define @t65 () (forall @t26 (or (not (tptp.rr tptp.i2003_11_14_17_21_22376 @t21)) (not (tptp.rr tptp.i2003_11_14_17_21_22376 @t20)) @t22))) % 0.16/0.38 (define @t66 () (and @t65 @t64 @t63 @t61)) % 0.16/0.38 (define @t67 () (= @t50 @t66)) % 0.16/0.38 (define @t68 () (@list false false)) % 0.16/0.38 (define @t69 () (not @t66)) % 0.16/0.38 (define @t70 () (@list false)) % 0.16/0.38 (define @t71 () (@list @t66)) % 0.16/0.38 (define @t72 () (tptp.ca_Vx2 @t53)) % 0.16/0.38 (define @t73 () (not @t72)) % 0.16/0.38 (define @t74 () (tptp.rr tptp.i2003_11_14_17_21_22376 @t53)) % 0.16/0.38 (define @t75 () (not @t74)) % 0.16/0.38 (define @t76 () (or @t75 @t73)) % 0.16/0.38 (define @t77 () (@list true)) % 0.16/0.38 (define @t78 () (@list @t76)) % 0.16/0.38 (define @t79 () (forall @t14 (or (not (tptp.rinvS @t53 @t10)) @t11))) % 0.16/0.38 (define @t80 () (= @t72 @t79)) % 0.16/0.38 (define @t81 () (@quantifiers_skolemize @t62 0)) % 0.16/0.38 (define @t82 () (tptp.rinvS @t81 tptp.i2003_11_14_17_21_22376)) % 0.16/0.38 (define @t83 () (tptp.rs tptp.i2003_11_14_17_21_22376 @t81)) % 0.16/0.38 (define @t84 () (= @t82 @t83)) % 0.16/0.38 (define @t85 () (= @t83 @t82)) % 0.16/0.38 (define @t86 () (not @t83)) % 0.16/0.38 (define @t87 () (or @t86 (not (tptp.cp @t81)))) % 0.16/0.38 (define @t88 () (tptp.rr tptp.i2003_11_14_17_21_22376 @t81)) % 0.16/0.38 (define @t89 () (or @t86 @t88)) % 0.16/0.38 (define @t90 () (= @t53 @t81)) % 0.16/0.38 (define @t91 () (not @t88)) % 0.16/0.38 (define @t92 () (or @t75 @t91 @t90)) % 0.16/0.38 (define @t93 () (tptp.rinvS @t53 tptp.i2003_11_14_17_21_22376)) % 0.16/0.38 (define @t94 () (tptp.cp tptp.i2003_11_14_17_21_22376)) % 0.16/0.38 (define @t95 () (not @t93)) % 0.16/0.38 (define @t96 () (or @t95 @t94)) % 0.16/0.38 (define @t97 () (forall @t39 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_22376 @t21)))) % 0.16/0.38 (define @t98 () (not @t97)) % 0.16/0.38 (define @t99 () (= @t61 @t98)) % 0.16/0.38 (define @t100 () (forall @t14 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_22376 @t10)))) % 0.16/0.38 (define @t101 () (forall @t14 (not @t32))) % 0.16/0.38 (define @t102 () (= @t94 @t100)) % 0.16/0.38 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.16/0.38 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Vx2 @t2)) (tptp.ca_Vx2 @t1)))) % 0.16/0.38 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.16/0.38 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.16/0.38 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.16/0.38 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cpxcomp @t2)) (tptp.cpxcomp @t1)))) % 0.16/0.38 (assume @p7 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.16/0.38 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.16/0.38 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rinvS @t2 @t5)) (tptp.rinvS @t1 @t5)))) % 0.16/0.38 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rinvS @t5 @t2)) (tptp.rinvS @t5 @t1)))) % 0.16/0.38 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.16/0.38 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.16/0.38 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rs @t2 @t5)) (tptp.rs @t1 @t5)))) % 0.16/0.38 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rs @t5 @t2)) (tptp.rs @t5 @t1)))) % 0.16/0.38 (assume @p15 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.16/0.38 (assume @p16 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.16/0.38 (assume @p17 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.16/0.38 (assume @p18 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.16/0.38 (assume @p19 @t31) % 0.16/0.38 (assume @p20 @t37) % 0.16/0.38 (assume @p21 @t42) % 0.16/0.38 (assume @p22 @t47) % 0.16/0.38 (assume @p23 @t49) % 0.16/0.38 (assume @p24 @t50) % 0.16/0.38 (assume @p25 @t51) % 0.16/0.38 (step @p26 :rule bool-impl-elim :args (@t43 @t11)) % 0.16/0.38 (step @p27 :rule cong :premises (@p26) :args (@t44)) % 0.16/0.38 (step @p28 :rule refl :args (@t45)) % 0.16/0.38 (step @p29 :rule cong :premises (@p28 @p27) :args (@t46)) % 0.16/0.38 (step @p30 :rule cong :premises (@p29) :args (@t47)) % 0.16/0.38 (step @p31 :rule eq_resolve :premises (@p22 @p30)) % 0.16/0.38 (step @p32 :rule instantiate :premises (@p31) :args ((@list @t53))) % 0.16/0.38 (step @p33 :rule refl :args (@t9)) % 0.16/0.38 (step @p34 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.16/0.38 (step @p35 :rule cong :premises (@p34) :args (@t54)) % 0.16/0.38 (step @p36 :rule cong :premises (@p35) :args (@t55)) % 0.16/0.38 (step @p37 :rule exists-elim :args ((= @t15 @t55))) % 0.16/0.38 (step @p38 :rule trans :premises (@p37 @p36)) % 0.16/0.38 (step @p39 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 0.16/0.38 (step @p40 :rule cong :premises (@p39) :args (@t56)) % 0.16/0.38 (step @p41 :rule cong :premises (@p40) :args (@t57)) % 0.16/0.38 (step @p42 :rule exists-elim :args ((= @t19 @t57))) % 0.16/0.38 (step @p43 :rule trans :premises (@p42 @p41)) % 0.16/0.38 (step @p44 :rule aci_norm :args ((= (or (or @t59 @t58) @t22) (or @t59 @t58 @t22)))) % 0.16/0.38 (step @p45 :rule refl :args (@t22)) % 0.16/0.38 (step @p46 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.16/0.38 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t25) @t22))) % 0.16/0.38 (step @p48 :rule trans :premises (@p47 @p44)) % 0.16/0.38 (step @p49 :rule bool-impl-elim :args (@t25 @t22)) % 0.16/0.38 (step @p50 :rule trans :premises (@p49 @p48)) % 0.16/0.38 (step @p51 :rule cong :premises (@p50) :args (@t27)) % 0.16/0.38 (step @p52 :rule nary_cong :premises (@p51 @p43 @p38 @p33) :args (@t28)) % 0.16/0.38 (step @p53 :rule refl :args (@t29)) % 0.16/0.38 (step @p54 :rule cong :premises (@p53 @p52) :args (@t30)) % 0.16/0.38 (step @p55 :rule cong :premises (@p54) :args (@t31)) % 0.16/0.38 (step @p56 :rule eq_resolve :premises (@p19 @p55)) % 0.16/0.38 (step @p57 :rule instantiate :premises (@p56) :args (@t60)) % 0.16/0.38 (step @p58 :rule cnf_equiv_pos1 :args (@t67)) % 0.16/0.38 (step @p59 :rule reordering :premises (@p58) :args ((or (not @t50) @t66 (not @t67)))) % 0.16/0.38 (step @p60 :rule chain_m_resolution :premises (@p59 @p24 @p57) :args (@t66 @t68 (@list @t50 @t67))) % 0.16/0.38 (step @p61 :rule cnf_and_pos :args (@t66 1)) % 0.16/0.38 (step @p62 :rule reordering :premises (@p61) :args ((or @t64 @t69))) % 0.16/0.38 (step @p63 :rule chain_m_resolution :premises (@p62 @p60) :args (@t64 @t70 @t71)) % 0.16/0.38 (step @p64 :rule skolemize :premises (@p63)) % 0.16/0.38 (step @p65 :rule bool-double-not-elim :args (@t72)) % 0.16/0.38 (step @p66 :rule refl :args (@t76)) % 0.16/0.38 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t76 (not @t73)))) % 0.16/0.38 (step @p68 :rule cnf_or_neg :args (@t76 1)) % 0.16/0.38 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.16/0.38 (step @p70 :rule reordering :premises (@p69) :args ((or @t72 @t76))) % 0.16/0.38 (step @p71 :rule chain_m_resolution :premises (@p70 @p64) :args (@t72 @t77 @t78)) % 0.16/0.38 (step @p72 :rule cnf_equiv_pos1 :args (@t80)) % 0.16/0.38 (step @p73 :rule reordering :premises (@p72) :args ((or @t73 @t79 (not @t80)))) % 0.16/0.38 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p32) :args (@t79 @t68 (@list @t72 @t80))) % 0.16/0.38 (step @p75 :rule instantiate :premises (@p74) :args (@t60)) % 0.16/0.38 (step @p76 :rule eq-symm :args (@t82 @t83)) % 0.16/0.38 (step @p77 :rule refl :args (@t49)) % 0.16/0.38 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t49 @t84))) % 0.16/0.38 (assume-push @p154 @t49) % 0.16/0.38 (step @p80 :rule instantiate :premises (@p23) :args ((@list @t81 tptp.i2003_11_14_17_21_22376))) % 0.16/0.38 (step-pop @p155 :rule scope :premises (@p80)) % 0.16/0.38 (step @p81 :rule process_scope :premises (@p155) :args (@t84)) % 0.16/0.38 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.16/0.38 (step @p84 :rule implies_elim :premises (@p83)) % 0.16/0.38 (step @p85 :rule chain_m_resolution :premises (@p84 @p23) :args (@t85 @t70 (@list @t49))) % 0.16/0.38 (step @p86 :rule cnf_and_pos :args (@t66 2)) % 0.16/0.38 (step @p87 :rule reordering :premises (@p86) :args ((or @t63 @t69))) % 0.16/0.38 (step @p88 :rule chain_m_resolution :premises (@p87 @p60) :args (@t63 @t70 @t71)) % 0.16/0.38 (step @p89 :rule skolemize :premises (@p88)) % 0.16/0.38 (step @p90 :rule bool-double-not-elim :args (@t83)) % 0.16/0.38 (step @p91 :rule refl :args (@t87)) % 0.16/0.38 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t87 (not @t86)))) % 0.16/0.38 (step @p93 :rule cnf_or_neg :args (@t87 0)) % 0.16/0.38 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.16/0.38 (step @p95 :rule reordering :premises (@p94) :args ((or @t83 @t87))) % 0.16/0.38 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t83 @t77 (@list @t87))) % 0.16/0.38 (step @p97 :rule cnf_equiv_pos1 :args (@t85)) % 0.16/0.38 (step @p98 :rule reordering :premises (@p97) :args ((or @t86 @t82 (not @t85)))) % 0.16/0.38 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p85) :args (@t82 @t68 (@list @t83 @t85))) % 0.16/0.38 (step @p100 :rule true_intro :premises (@p99)) % 0.16/0.38 (step @p101 :rule refl :args (tptp.i2003_11_14_17_21_22376)) % 0.16/0.38 (step @p102 :rule cnf_and_pos :args (@t66 0)) % 0.16/0.38 (step @p103 :rule reordering :premises (@p102) :args ((or @t65 @t69))) % 0.16/0.38 (step @p104 :rule chain_m_resolution :premises (@p103 @p60) :args (@t65 @t70 @t71)) % 0.16/0.38 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t53 @t81))) % 0.16/0.38 (step @p106 :rule bool-impl-elim :args (@t12 @t17)) % 0.16/0.38 (step @p107 :rule cong :premises (@p106) :args (@t51)) % 0.16/0.38 (step @p108 :rule eq_resolve :premises (@p25 @p107)) % 0.16/0.38 (step @p109 :rule instantiate :premises (@p108) :args ((@list tptp.i2003_11_14_17_21_22376 @t81))) % 0.16/0.38 (step @p110 :rule cnf_or_pos :args (@t89)) % 0.16/0.38 (step @p111 :rule reordering :premises (@p110) :args ((or @t86 @t88 (not @t89)))) % 0.16/0.38 (step @p112 :rule chain_m_resolution :premises (@p111 @p96 @p109) :args (@t88 @t68 (@list @t83 @t89))) % 0.16/0.38 (step @p113 :rule bool-double-not-elim :args (@t74)) % 0.16/0.38 (step @p114 :rule nary_cong :premises (@p66 @p113) :args ((or @t76 (not @t75)))) % 0.16/0.38 (step @p115 :rule cnf_or_neg :args (@t76 0)) % 0.16/0.38 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.16/0.38 (step @p117 :rule reordering :premises (@p116) :args ((or @t74 @t76))) % 0.16/0.38 (step @p118 :rule chain_m_resolution :premises (@p117 @p64) :args (@t74 @t77 @t78)) % 0.16/0.38 (step @p119 :rule cnf_or_pos :args (@t92)) % 0.16/0.38 (step @p120 :rule reordering :premises (@p119) :args ((or @t75 @t91 @t90 (not @t92)))) % 0.16/0.38 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p112 @p105) :args (@t90 (@list false false false) (@list @t74 @t88 @t92))) % 0.16/0.38 (step @p122 :rule cong :premises (@p121 @p101) :args (@t93)) % 0.16/0.38 (step @p123 :rule trans :premises (@p122 @p100)) % 0.16/0.38 (step @p124 :rule true_elim :premises (@p123)) % 0.16/0.38 (step @p125 :rule cnf_or_pos :args (@t96)) % 0.16/0.38 (step @p126 :rule reordering :premises (@p125) :args ((or @t95 @t94 (not @t96)))) % 0.16/0.38 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p75) :args (@t94 @t68 (@list @t93 @t96))) % 0.16/0.38 (step @p128 :rule exists-elim :args ((= @t40 (not (forall @t39 (not @t38)))))) % 0.16/0.38 (step @p129 :rule cong :premises (@p33 @p128) :args (@t41)) % 0.16/0.38 (step @p130 :rule cong :premises (@p129) :args (@t42)) % 0.16/0.38 (step @p131 :rule eq_resolve :premises (@p21 @p130)) % 0.16/0.38 (step @p132 :rule instantiate :premises (@p131) :args (@t60)) % 0.16/0.38 (step @p133 :rule cnf_and_pos :args (@t66 3)) % 0.16/0.38 (step @p134 :rule reordering :premises (@p133) :args ((or @t61 @t69))) % 0.16/0.38 (step @p135 :rule chain_m_resolution :premises (@p134 @p60) :args (@t61 @t70 @t71)) % 0.16/0.38 (step @p136 :rule cnf_equiv_pos1 :args (@t99)) % 0.16/0.38 (step @p137 :rule reordering :premises (@p136) :args ((or (not @t61) @t98 (not @t99)))) % 0.16/0.38 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p132) :args (@t98 @t68 (@list @t61 @t99))) % 0.16/0.38 (step @p139 :rule alpha_equiv :args (@t97 (@list @t21) (@list @t10))) % 0.16/0.38 (step @p140 :rule equiv_elim2 :premises (@p139)) % 0.16/0.38 (step @p141 :rule chain_m_resolution :premises (@p140 @p138) :args ((not @t100) @t77 (@list @t97))) % 0.16/0.38 (step @p142 :rule bool-double-not-elim :args (@t101)) % 0.16/0.38 (step @p143 :rule exists-elim :args ((= @t33 (not @t101)))) % 0.16/0.38 (step @p144 :rule cong :premises (@p143) :args (@t34)) % 0.16/0.38 (step @p145 :rule trans :premises (@p144 @p142)) % 0.16/0.38 (step @p146 :rule refl :args (@t35)) % 0.16/0.38 (step @p147 :rule cong :premises (@p146 @p145) :args (@t36)) % 0.16/0.38 (step @p148 :rule cong :premises (@p147) :args (@t37)) % 0.16/0.38 (step @p149 :rule eq_resolve :premises (@p20 @p148)) % 0.16/0.38 (step @p150 :rule instantiate :premises (@p149) :args (@t60)) % 0.16/0.38 (step @p151 :rule cnf_equiv_pos1 :args (@t102)) % 0.16/0.38 (step @p152 :rule reordering :premises (@p151) :args ((or (not @t94) @t100 (not @t102)))) % 0.16/0.38 (step @p153 false :rule chain_m_resolution :premises (@p152 @p150 @p141 @p127) :args (false (@list false true false) (@list @t102 @t100 @t94))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------