%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS122+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 : n027.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 08:28:58 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS122+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:28:06 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.ca_Ax2 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.ca_Vx3 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.i2003_11_14_17_21_55116 $$unsorted) % 0.37/0.57 (declare-const tptp.cp1xcomp (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "B" $$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.ca_Ax2 @t9)) % 0.37/0.57 (define @t11 () (tptp.rf @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.cUnsatisfiable @t7)) % 0.37/0.57 (define @t16 () (= @t15 @t14)) % 0.37/0.57 (define @t17 () (forall @t8 @t16)) % 0.37/0.57 (define @t18 () (tptp.ra_Px1 @t7 @t9)) % 0.37/0.57 (define @t19 () (exists @t13 @t18)) % 0.37/0.57 (define @t20 () (not @t19)) % 0.37/0.57 (define @t21 () (tptp.cp1 @t7)) % 0.37/0.57 (define @t22 () (= @t21 @t20)) % 0.37/0.57 (define @t23 () (forall @t8 @t22)) % 0.37/0.57 (define @t24 () (@var "Y0" $$unsorted)) % 0.37/0.57 (define @t25 () (tptp.ra_Px1 @t7 @t24)) % 0.37/0.57 (define @t26 () (@list @t24)) % 0.37/0.57 (define @t27 () (exists @t26 @t25)) % 0.37/0.57 (define @t28 () (tptp.cp1xcomp @t7)) % 0.37/0.57 (define @t29 () (= @t28 @t27)) % 0.37/0.57 (define @t30 () (forall @t8 @t29)) % 0.37/0.57 (define @t31 () (tptp.ca_Vx3 @t9)) % 0.37/0.57 (define @t32 () (tptp.rinvF @t7 @t9)) % 0.37/0.57 (define @t33 () (forall @t13 (=> @t32 @t31))) % 0.37/0.57 (define @t34 () (and @t21 @t33)) % 0.37/0.57 (define @t35 () (tptp.ca_Ax2 @t7)) % 0.37/0.57 (define @t36 () (= @t35 @t34)) % 0.37/0.57 (define @t37 () (forall @t8 @t36)) % 0.37/0.57 (define @t38 () (tptp.cp1xcomp @t9)) % 0.37/0.57 (define @t39 () (and @t11 @t38)) % 0.37/0.57 (define @t40 () (exists @t13 @t39)) % 0.37/0.57 (define @t41 () (tptp.ca_Vx3 @t7)) % 0.37/0.57 (define @t42 () (= @t41 @t40)) % 0.37/0.57 (define @t43 () (forall @t8 @t42)) % 0.37/0.57 (define @t44 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t45 () (= @t9 @t44)) % 0.37/0.57 (define @t46 () (tptp.rf @t7 @t44)) % 0.37/0.57 (define @t47 () (and @t11 @t46)) % 0.37/0.57 (define @t48 () (@list @t7 @t9 @t44)) % 0.37/0.57 (define @t49 () (forall @t48 (=> @t47 @t45))) % 0.37/0.57 (define @t50 () (@list @t7 @t9)) % 0.37/0.57 (define @t51 () (forall @t50 (= @t32 (tptp.rf @t9 @t7)))) % 0.37/0.57 (define @t52 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_55116)) % 0.37/0.57 (define @t53 () (forall @t13 (not @t18))) % 0.37/0.57 (define @t54 () (not (tptp.rf tptp.i2003_11_14_17_21_55116 @t9))) % 0.37/0.57 (define @t55 () (forall @t13 (or @t54 (not @t10)))) % 0.37/0.57 (define @t56 () (@quantifiers_skolemize @t55 0)) % 0.37/0.57 (define @t57 () (@list @t56)) % 0.37/0.57 (define @t58 () (forall @t13 (not @t12))) % 0.37/0.57 (define @t59 () (not @t58)) % 0.37/0.57 (define @t60 () (@list tptp.i2003_11_14_17_21_55116)) % 0.37/0.57 (define @t61 () (not @t55)) % 0.37/0.57 (define @t62 () (= @t52 @t61)) % 0.37/0.57 (define @t63 () (@list false false)) % 0.37/0.57 (define @t64 () (tptp.ca_Ax2 @t56)) % 0.37/0.57 (define @t65 () (not @t64)) % 0.37/0.57 (define @t66 () (tptp.rf tptp.i2003_11_14_17_21_55116 @t56)) % 0.37/0.57 (define @t67 () (not @t66)) % 0.37/0.57 (define @t68 () (or @t67 @t65)) % 0.37/0.57 (define @t69 () (@list true)) % 0.37/0.57 (define @t70 () (@list @t68)) % 0.37/0.57 (define @t71 () (forall @t13 (or (not (tptp.rinvF @t56 @t9)) @t31))) % 0.37/0.57 (define @t72 () (tptp.cp1 @t56)) % 0.37/0.57 (define @t73 () (and @t72 @t71)) % 0.37/0.57 (define @t74 () (= @t64 @t73)) % 0.37/0.57 (define @t75 () (not @t73)) % 0.37/0.57 (define @t76 () (@list false)) % 0.37/0.57 (define @t77 () (@list @t73)) % 0.37/0.57 (define @t78 () (forall @t13 (not (tptp.ra_Px1 @t56 @t9)))) % 0.37/0.57 (define @t79 () (= @t72 @t78)) % 0.37/0.57 (define @t80 () (forall @t13 (or @t54 (not @t38)))) % 0.37/0.57 (define @t81 () (@quantifiers_skolemize @t80 0)) % 0.37/0.57 (define @t82 () (forall @t13 (not @t39))) % 0.37/0.57 (define @t83 () (not @t82)) % 0.37/0.57 (define @t84 () (tptp.rinvF @t56 tptp.i2003_11_14_17_21_55116)) % 0.37/0.57 (define @t85 () (= @t84 @t66)) % 0.37/0.57 (define @t86 () (= @t66 @t84)) % 0.37/0.57 (define @t87 () (tptp.ca_Vx3 tptp.i2003_11_14_17_21_55116)) % 0.37/0.57 (define @t88 () (not @t84)) % 0.37/0.57 (define @t89 () (or @t88 @t87)) % 0.37/0.57 (define @t90 () (not @t80)) % 0.37/0.57 (define @t91 () (= @t87 @t90)) % 0.37/0.57 (define @t92 () (tptp.cp1xcomp @t81)) % 0.37/0.57 (define @t93 () (not @t92)) % 0.37/0.57 (define @t94 () (tptp.rf tptp.i2003_11_14_17_21_55116 @t81)) % 0.37/0.57 (define @t95 () (not @t94)) % 0.37/0.57 (define @t96 () (or @t95 @t93)) % 0.37/0.57 (define @t97 () (@list @t96)) % 0.37/0.57 (define @t98 () (forall @t26 (not (tptp.ra_Px1 @t81 @t24)))) % 0.37/0.57 (define @t99 () (not @t98)) % 0.37/0.57 (define @t100 () (= @t92 @t99)) % 0.37/0.57 (define @t101 () (@quantifiers_skolemize @t98 0)) % 0.37/0.57 (define @t102 () (tptp.ra_Px1 @t81 @t101)) % 0.37/0.57 (define @t103 () (not (not @t102))) % 0.37/0.57 (define @t104 () (not @t46)) % 0.37/0.57 (define @t105 () (not @t11)) % 0.37/0.57 (define @t106 () (= @t56 @t81)) % 0.37/0.57 (define @t107 () (or @t67 @t95 @t106)) % 0.37/0.57 (define @t108 () (tptp.ra_Px1 @t56 @t101)) % 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.ca_Ax2 @t2)) (tptp.ca_Ax2 @t1)))) % 0.37/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.ca_Vx3 @t2)) (tptp.ca_Vx3 @t1)))) % 0.37/0.57 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.37/0.57 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.37/0.57 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.37/0.57 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cp1xcomp @t2)) (tptp.cp1xcomp @t1)))) % 0.37/0.57 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.37/0.57 (assume @p9 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.37/0.57 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.37/0.57 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.37/0.57 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.37/0.57 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.37/0.57 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.37/0.57 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.37/0.57 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.37/0.57 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.37/0.57 (assume @p18 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.37/0.57 (assume @p19 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.37/0.57 (assume @p20 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.37/0.57 (assume @p21 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.37/0.57 (assume @p22 @t17) % 0.37/0.57 (assume @p23 @t23) % 0.37/0.57 (assume @p24 @t30) % 0.37/0.57 (assume @p25 @t37) % 0.37/0.57 (assume @p26 @t43) % 0.37/0.57 (assume @p27 @t49) % 0.37/0.57 (assume @p28 @t51) % 0.37/0.57 (assume @p29 (forall @t50 (= (tptp.rinvR @t7 @t9) (tptp.rr @t9 @t7)))) % 0.37/0.57 (assume @p30 (forall @t48 (=> (and (tptp.rr @t7 @t9) (tptp.rr @t9 @t44)) (tptp.rr @t7 @t44)))) % 0.37/0.57 (assume @p31 @t52) % 0.37/0.57 (step @p32 :rule bool-double-not-elim :args (@t53)) % 0.37/0.57 (step @p33 :rule exists-elim :args ((= @t19 (not @t53)))) % 0.37/0.57 (step @p34 :rule cong :premises (@p33) :args (@t20)) % 0.37/0.57 (step @p35 :rule trans :premises (@p34 @p32)) % 0.37/0.57 (step @p36 :rule refl :args (@t21)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t22)) % 0.37/0.57 (step @p38 :rule cong :premises (@p37) :args (@t23)) % 0.37/0.57 (step @p39 :rule eq_resolve :premises (@p23 @p38)) % 0.37/0.57 (step @p40 :rule instantiate :premises (@p39) :args (@t57)) % 0.37/0.57 (step @p41 :rule bool-impl-elim :args (@t32 @t31)) % 0.37/0.57 (step @p42 :rule cong :premises (@p41) :args (@t33)) % 0.37/0.57 (step @p43 :rule nary_cong :premises (@p36 @p42) :args (@t34)) % 0.37/0.57 (step @p44 :rule refl :args (@t35)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args (@t36)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45) :args (@t37)) % 0.37/0.57 (step @p47 :rule eq_resolve :premises (@p25 @p46)) % 0.37/0.57 (step @p48 :rule instantiate :premises (@p47) :args (@t57)) % 0.37/0.57 (step @p49 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.37/0.57 (step @p50 :rule cong :premises (@p49) :args (@t58)) % 0.37/0.57 (step @p51 :rule cong :premises (@p50) :args (@t59)) % 0.37/0.57 (step @p52 :rule exists-elim :args ((= @t14 @t59))) % 0.37/0.57 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.57 (step @p54 :rule refl :args (@t15)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args (@t16)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55) :args (@t17)) % 0.37/0.57 (step @p57 :rule eq_resolve :premises (@p22 @p56)) % 0.37/0.57 (step @p58 :rule instantiate :premises (@p57) :args (@t60)) % 0.37/0.57 (step @p59 :rule cnf_equiv_pos1 :args (@t62)) % 0.37/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or (not @t52) @t61 (not @t62)))) % 0.37/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p31 @p58) :args (@t61 @t63 (@list @t52 @t62))) % 0.37/0.57 (step @p62 :rule skolemize :premises (@p61)) % 0.37/0.57 (step @p63 :rule bool-double-not-elim :args (@t64)) % 0.37/0.57 (step @p64 :rule refl :args (@t68)) % 0.37/0.57 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t68 (not @t65)))) % 0.37/0.57 (step @p66 :rule cnf_or_neg :args (@t68 1)) % 0.37/0.57 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.37/0.57 (step @p68 :rule reordering :premises (@p67) :args ((or @t64 @t68))) % 0.37/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p62) :args (@t64 @t69 @t70)) % 0.37/0.57 (step @p70 :rule cnf_equiv_pos1 :args (@t74)) % 0.37/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t65 @t73 (not @t74)))) % 0.37/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p48) :args (@t73 @t63 (@list @t64 @t74))) % 0.37/0.57 (step @p73 :rule cnf_and_pos :args (@t73 0)) % 0.37/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t72 @t75))) % 0.37/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p72) :args (@t72 @t76 @t77)) % 0.37/0.57 (step @p76 :rule cnf_equiv_pos1 :args (@t79)) % 0.37/0.57 (step @p77 :rule reordering :premises (@p76) :args ((or (not @t72) @t78 (not @t79)))) % 0.37/0.57 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p40) :args (@t78 @t63 (@list @t72 @t79))) % 0.37/0.57 (step @p79 :rule exists-elim :args ((= @t27 (not (forall @t26 (not @t25)))))) % 0.37/0.57 (step @p80 :rule refl :args (@t28)) % 0.37/0.57 (step @p81 :rule cong :premises (@p80 @p79) :args (@t29)) % 0.37/0.57 (step @p82 :rule cong :premises (@p81) :args (@t30)) % 0.37/0.57 (step @p83 :rule eq_resolve :premises (@p24 @p82)) % 0.37/0.57 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t81))) % 0.37/0.57 (step @p85 :rule bool-and-de-morgan :args (@t11 @t38 true)) % 0.37/0.57 (step @p86 :rule cong :premises (@p85) :args (@t82)) % 0.37/0.57 (step @p87 :rule cong :premises (@p86) :args (@t83)) % 0.37/0.57 (step @p88 :rule exists-elim :args ((= @t40 @t83))) % 0.37/0.57 (step @p89 :rule trans :premises (@p88 @p87)) % 0.37/0.57 (step @p90 :rule refl :args (@t41)) % 0.37/0.57 (step @p91 :rule cong :premises (@p90 @p89) :args (@t42)) % 0.37/0.57 (step @p92 :rule cong :premises (@p91) :args (@t43)) % 0.37/0.57 (step @p93 :rule eq_resolve :premises (@p26 @p92)) % 0.37/0.57 (step @p94 :rule instantiate :premises (@p93) :args (@t60)) % 0.37/0.57 (step @p95 :rule cnf_and_pos :args (@t73 1)) % 0.37/0.57 (step @p96 :rule reordering :premises (@p95) :args ((or @t71 @t75))) % 0.37/0.57 (step @p97 :rule chain_m_resolution :premises (@p96 @p72) :args (@t71 @t76 @t77)) % 0.37/0.57 (step @p98 :rule instantiate :premises (@p97) :args (@t60)) % 0.37/0.57 (step @p99 :rule eq-symm :args (@t84 @t66)) % 0.37/0.57 (step @p100 :rule refl :args (@t51)) % 0.37/0.57 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t51 @t85))) % 0.37/0.57 (assume-push @p179 @t51) % 0.37/0.57 (step @p103 :rule instantiate :premises (@p28) :args ((@list @t56 tptp.i2003_11_14_17_21_55116))) % 0.37/0.57 (step-pop @p180 :rule scope :premises (@p103)) % 0.37/0.57 (step @p104 :rule process_scope :premises (@p180) :args (@t85)) % 0.37/0.57 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 0.37/0.57 (step @p107 :rule implies_elim :premises (@p106)) % 0.37/0.57 (step @p108 :rule chain_m_resolution :premises (@p107 @p28) :args (@t86 @t76 (@list @t51))) % 0.37/0.57 (step @p109 :rule bool-double-not-elim :args (@t66)) % 0.37/0.57 (step @p110 :rule nary_cong :premises (@p64 @p109) :args ((or @t68 (not @t67)))) % 0.37/0.57 (step @p111 :rule cnf_or_neg :args (@t68 0)) % 0.37/0.57 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.37/0.57 (step @p113 :rule reordering :premises (@p112) :args ((or @t66 @t68))) % 0.37/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p62) :args (@t66 @t69 @t70)) % 0.37/0.57 (step @p115 :rule cnf_equiv_pos1 :args (@t86)) % 0.37/0.57 (step @p116 :rule reordering :premises (@p115) :args ((or @t67 @t84 (not @t86)))) % 0.37/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p108) :args (@t84 @t63 (@list @t66 @t86))) % 0.37/0.57 (step @p118 :rule cnf_or_pos :args (@t89)) % 0.37/0.57 (step @p119 :rule reordering :premises (@p118) :args ((or @t88 @t87 (not @t89)))) % 0.37/0.57 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p98) :args (@t87 @t63 (@list @t84 @t89))) % 0.37/0.57 (step @p121 :rule cnf_equiv_pos1 :args (@t91)) % 0.37/0.57 (step @p122 :rule reordering :premises (@p121) :args ((or (not @t87) @t90 (not @t91)))) % 0.37/0.57 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p94) :args (@t90 @t63 (@list @t87 @t91))) % 0.37/0.57 (step @p124 :rule skolemize :premises (@p123)) % 0.37/0.57 (step @p125 :rule bool-double-not-elim :args (@t92)) % 0.37/0.57 (step @p126 :rule refl :args (@t96)) % 0.37/0.57 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t96 (not @t93)))) % 0.37/0.57 (step @p128 :rule cnf_or_neg :args (@t96 1)) % 0.37/0.57 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.37/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or @t92 @t96))) % 0.37/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p124) :args (@t92 @t69 @t97)) % 0.37/0.57 (step @p132 :rule cnf_equiv_pos1 :args (@t100)) % 0.37/0.57 (step @p133 :rule reordering :premises (@p132) :args ((or @t93 @t99 (not @t100)))) % 0.37/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p84) :args (@t99 @t63 (@list @t92 @t100))) % 0.37/0.57 (step @p135 :rule refl :args (@t102)) % 0.37/0.57 (step @p136 :rule bool-double-not-elim :args (@t98)) % 0.37/0.57 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or (not @t99) @t102))) % 0.37/0.57 (step @p138 :rule bool-double-not-elim :args (@t102)) % 0.37/0.57 (step @p139 :rule refl :args (@t99)) % 0.37/0.57 (step @p140 :rule cong :premises (@p139 @p138) :args ((=> @t99 @t103))) % 0.37/0.57 (assume-push @p181 @t99) % 0.37/0.57 (step @p142 :rule skolemize :premises (@p134)) % 0.37/0.57 (step-pop @p182 :rule scope :premises (@p142)) % 0.37/0.57 (step @p143 :rule process_scope :premises (@p182) :args (@t103)) % 0.37/0.57 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 0.37/0.57 (step @p146 :rule implies_elim :premises (@p145)) % 0.37/0.57 (step @p147 :rule eq_resolve :premises (@p146 @p137)) % 0.37/0.57 (step @p148 :rule chain_m_resolution :premises (@p147 @p134) :args (@t102 @t69 (@list @t98))) % 0.37/0.57 (step @p149 :rule true_intro :premises (@p148)) % 0.37/0.57 (step @p150 :rule refl :args (@t101)) % 0.37/0.57 (step @p151 :rule aci_norm :args ((= (or (or @t105 @t104) @t45) (or @t105 @t104 @t45)))) % 0.37/0.57 (step @p152 :rule refl :args (@t45)) % 0.37/0.57 (step @p153 :rule bool-and-de-morgan :args (@t11 @t46 true)) % 0.37/0.57 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or (not @t47) @t45))) % 0.37/0.57 (step @p155 :rule trans :premises (@p154 @p151)) % 0.37/0.57 (step @p156 :rule bool-impl-elim :args (@t47 @t45)) % 0.37/0.57 (step @p157 :rule trans :premises (@p156 @p155)) % 0.37/0.57 (step @p158 :rule cong :premises (@p157) :args (@t49)) % 0.37/0.57 (step @p159 :rule eq_resolve :premises (@p27 @p158)) % 0.37/0.57 (step @p160 :rule instantiate :premises (@p159) :args ((@list tptp.i2003_11_14_17_21_55116 @t56 @t81))) % 0.37/0.57 (step @p161 :rule bool-double-not-elim :args (@t94)) % 0.37/0.57 (step @p162 :rule nary_cong :premises (@p126 @p161) :args ((or @t96 (not @t95)))) % 0.37/0.57 (step @p163 :rule cnf_or_neg :args (@t96 0)) % 0.37/0.57 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.37/0.57 (step @p165 :rule reordering :premises (@p164) :args ((or @t94 @t96))) % 0.37/0.57 (step @p166 :rule chain_m_resolution :premises (@p165 @p124) :args (@t94 @t69 @t97)) % 0.37/0.57 (step @p167 :rule cnf_or_pos :args (@t107)) % 0.37/0.57 (step @p168 :rule reordering :premises (@p167) :args ((or @t67 @t95 @t106 (not @t107)))) % 0.37/0.57 (step @p169 :rule chain_m_resolution :premises (@p168 @p114 @p166 @p160) :args (@t106 (@list false false false) (@list @t66 @t94 @t107))) % 0.37/0.57 (step @p170 :rule cong :premises (@p169 @p150) :args (@t108)) % 0.37/0.57 (step @p171 :rule trans :premises (@p170 @p149)) % 0.37/0.57 (step @p172 :rule true_elim :premises (@p171)) % 0.37/0.57 (assume-push @p183 @t78) % 0.37/0.57 (step @p174 :rule instantiate :premises (@p78) :args ((@list @t101))) % 0.37/0.57 (step-pop @p184 :rule scope :premises (@p174)) % 0.37/0.57 (step @p175 :rule process_scope :premises (@p184) :args ((not @t108))) % 0.37/0.57 (step @p177 :rule implies_elim :premises (@p175)) % 0.37/0.57 (step @p178 false :rule chain_m_resolution :premises (@p177 @p172 @p78) :args (false @t63 (@list @t108 @t78))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------