%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU935^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:53:33 AM UTC 2026 % Result : Theorem 1.02s 1.21s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU935^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n008.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 18:01:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.25/0.49 %----Proving TH0 % 1.02/1.21 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.02/1.21 % SZS status Theorem % 1.02/1.21 % SZS output start Proof % 1.02/1.21 ( % 1.02/1.21 (declare-sort tptp.b 0) % 1.02/1.21 (declare-sort tptp.c 0) % 1.02/1.21 (declare-sort tptp.a 0) % 1.02/1.21 (define @t1 () (@var "Y" tptp.c)) % 1.02/1.21 (define @t2 () (@var "X" tptp.a)) % 1.02/1.21 (define @t3 () (@var "F" (-> tptp.a tptp.b))) % 1.02/1.21 (define @t4 () (_ @t3 @t2)) % 1.02/1.21 (define @t5 () (@var "G" (-> tptp.b tptp.c))) % 1.02/1.21 (define @t6 () (_ @t5 @t4)) % 1.02/1.21 (define @t7 () (@list @t2)) % 1.02/1.21 (define @t8 () (exists @t7 (= @t6 @t1))) % 1.02/1.21 (define @t9 () (@list @t1)) % 1.02/1.21 (define @t10 () (forall @t9 @t8)) % 1.02/1.21 (define @t11 () (@var "X" tptp.b)) % 1.02/1.21 (define @t12 () (_ @t5 @t11)) % 1.02/1.21 (define @t13 () (@list @t11)) % 1.02/1.21 (define @t14 () (exists @t13 (= @t12 @t1))) % 1.02/1.21 (define @t15 () (forall @t9 @t14)) % 1.02/1.21 (define @t16 () (@var "Y" tptp.b)) % 1.02/1.21 (define @t17 () (exists @t7 (= @t4 @t16))) % 1.02/1.21 (define @t18 () (@list @t16)) % 1.02/1.21 (define @t19 () (forall @t18 @t17)) % 1.02/1.21 (define @t20 () (and @t19 @t15)) % 1.02/1.21 (define @t21 () (=> @t20 @t10)) % 1.02/1.21 (define @t22 () (@list @t3 @t5)) % 1.02/1.21 (define @t23 () (forall @t22 @t21)) % 1.02/1.21 (define @t24 () (not @t23)) % 1.02/1.21 (define @t25 () (@var "BOUND_VARIABLE_7481" tptp.c)) % 1.02/1.21 (define @t26 () (_ @t3 @t2)) % 1.02/1.21 (define @t27 () (_ @t5 @t26)) % 1.02/1.21 (define @t28 () (not (= @t25 @t27))) % 1.02/1.21 (define @t29 () (forall @t7 @t28)) % 1.02/1.21 (define @t30 () (not @t29)) % 1.02/1.21 (define @t31 () (_ @t5 @t11)) % 1.02/1.21 (define @t32 () (forall @t9 (not (forall @t13 (not (= @t1 @t31)))))) % 1.02/1.21 (define @t33 () (not @t32)) % 1.02/1.21 (define @t34 () (forall @t18 (not (forall @t7 (not (= @t16 @t26)))))) % 1.02/1.21 (define @t35 () (not @t34)) % 1.02/1.21 (define @t36 () (or @t35 @t33 @t30)) % 1.02/1.21 (define @t37 () (@list @t3 @t5 @t25)) % 1.02/1.21 (define @t38 () (forall @t37 @t36)) % 1.02/1.21 (define @t39 () (@list @t25)) % 1.02/1.21 (define @t40 () (forall @t39 @t36)) % 1.02/1.21 (define @t41 () (forall @t39 @t30)) % 1.02/1.21 (define @t42 () (or @t35 @t33 @t41)) % 1.02/1.21 (define @t43 () (forall @t9 (not (forall @t7 (not (= @t1 @t27)))))) % 1.02/1.21 (define @t44 () (or @t35 @t33 @t43)) % 1.02/1.21 (define @t45 () (and @t34 @t32)) % 1.02/1.21 (define @t46 () (= @t1 @t6)) % 1.02/1.21 (define @t47 () (not @t46)) % 1.02/1.21 (define @t48 () (forall @t7 @t47)) % 1.02/1.21 (define @t49 () (not @t48)) % 1.02/1.21 (define @t50 () (= @t1 @t12)) % 1.02/1.21 (define @t51 () (not @t50)) % 1.02/1.21 (define @t52 () (forall @t13 @t51)) % 1.02/1.21 (define @t53 () (not @t52)) % 1.02/1.21 (define @t54 () (= @t16 @t4)) % 1.02/1.21 (define @t55 () (not @t54)) % 1.02/1.21 (define @t56 () (forall @t7 @t55)) % 1.02/1.21 (define @t57 () (not @t56)) % 1.02/1.21 (define @t58 () (forall @t37 (or @t35 @t33 (not (forall @t7 (not (= @t27 @t25))))))) % 1.02/1.21 (define @t59 () (@quantifiers_skolemize @t58 0)) % 1.02/1.21 (define @t60 () (_ @t59 @t2)) % 1.02/1.21 (define @t61 () (@quantifiers_skolemize @t58 1)) % 1.02/1.21 (define @t62 () (_ @t61 @t60)) % 1.02/1.21 (define @t63 () (@quantifiers_skolemize @t58 2)) % 1.02/1.21 (define @t64 () (forall @t7 (not (= @t63 @t62)))) % 1.02/1.21 (define @t65 () (not @t64)) % 1.02/1.21 (define @t66 () (_ @t61 @t11)) % 1.02/1.21 (define @t67 () (forall @t9 (not (forall @t13 (not (= @t1 @t66)))))) % 1.02/1.21 (define @t68 () (not @t67)) % 1.02/1.21 (define @t69 () (forall @t18 (not (forall @t7 (not (= @t16 @t60)))))) % 1.02/1.21 (define @t70 () (not @t69)) % 1.02/1.21 (define @t71 () (or @t70 @t68 @t65)) % 1.02/1.21 (define @t72 () (not @t71)) % 1.02/1.21 (define @t73 () (not @t58)) % 1.02/1.21 (define @t74 () (not (= @t62 @t63))) % 1.02/1.21 (define @t75 () (forall @t7 @t74)) % 1.02/1.21 (define @t76 () (not @t75)) % 1.02/1.21 (define @t77 () (or @t70 @t68 @t76)) % 1.02/1.21 (define @t78 () (not @t77)) % 1.02/1.21 (define @t79 () (@list true)) % 1.02/1.21 (define @t80 () (@list @t71)) % 1.02/1.21 (define @t81 () (forall @t13 (not (= @t63 @t66)))) % 1.02/1.21 (define @t82 () (@quantifiers_skolemize @t81 0)) % 1.02/1.21 (define @t83 () (not (= @t82 @t60))) % 1.02/1.21 (define @t84 () (forall @t7 @t83)) % 1.02/1.21 (define @t85 () (not @t84)) % 1.02/1.21 (define @t86 () (forall @t7 (not (= @t60 @t82)))) % 1.02/1.21 (define @t87 () (not @t86)) % 1.02/1.21 (define @t88 () (@quantifiers_skolemize @t86 0)) % 1.02/1.21 (define @t89 () (_ @t59 @t88)) % 1.02/1.21 (define @t90 () (= @t82 @t89)) % 1.02/1.21 (define @t91 () (= @t89 @t82)) % 1.02/1.21 (define @t92 () (not (not @t91))) % 1.02/1.21 (define @t93 () (_ @t61 @t82)) % 1.02/1.21 (define @t94 () (= @t63 @t93)) % 1.02/1.21 (define @t95 () (not @t81)) % 1.02/1.21 (define @t96 () (not (not @t94))) % 1.02/1.21 (define @t97 () (= @t63 (_ @t61 @t89))) % 1.02/1.21 (assume @p1 @t24) % 1.02/1.21 (assume @p2 true) % 1.02/1.21 (step @p3 :rule eq-symm :args (@t25 @t27)) % 1.02/1.21 (step @p4 :rule cong :premises (@p3) :args (@t28)) % 1.02/1.21 (step @p5 :rule cong :premises (@p4) :args (@t29)) % 1.02/1.21 (step @p6 :rule cong :premises (@p5) :args (@t30)) % 1.02/1.21 (step @p7 :rule refl :args (@t33)) % 1.02/1.21 (step @p8 :rule refl :args (@t35)) % 1.02/1.21 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t36)) % 1.02/1.21 (step @p10 :rule cong :premises (@p9) :args (@t38)) % 1.02/1.21 (step @p11 :rule quant-merge-prenex :args ((= (forall @t22 @t40) @t38))) % 1.02/1.21 (step @p12 :rule alpha_equiv :args (@t41 (@list @t25) (@list @t1))) % 1.02/1.21 (step @p13 :rule refl :args (@t33)) % 1.02/1.21 (step @p14 :rule refl :args (@t35)) % 1.02/1.21 (step @p15 :rule nary_cong :premises (@p14 @p13 @p12) :args (@t42)) % 1.02/1.21 (step @p16 :rule quant-miniscope-or :args ((= @t40 @t42))) % 1.02/1.21 (step @p17 :rule trans :premises (@p16 @p15)) % 1.02/1.21 (step @p18 :rule symm :premises (@p17)) % 1.02/1.21 (step @p19 :rule cong :premises (@p18) :args ((forall @t22 @t44))) % 1.02/1.21 (step @p20 :rule trans :premises (@p19 @p11)) % 1.02/1.21 (step @p21 :rule trans :premises (@p20 @p10)) % 1.02/1.21 (step @p22 :rule aci_norm :args ((= (or (or @t35 @t33) @t43) @t44))) % 1.02/1.21 (step @p23 :rule refl :args (@t43)) % 1.02/1.21 (step @p24 :rule bool-and-de-morgan :args (@t34 @t32 true)) % 1.02/1.21 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t45) @t43))) % 1.02/1.21 (step @p26 :rule trans :premises (@p25 @p22)) % 1.02/1.21 (step @p27 :rule bool-impl-elim :args (@t45 @t43)) % 1.02/1.21 (step @p28 :rule trans :premises (@p27 @p26)) % 1.02/1.21 (step @p29 :rule cong :premises (@p28) :args ((forall @t22 (=> @t45 @t43)))) % 1.02/1.21 (step @p30 :rule trans :premises (@p29 @p21)) % 1.02/1.21 (step @p31 :rule refl :args ((_ @t5 @t4))) % 1.02/1.21 (step @p32 :rule refl :args (@t26)) % 1.02/1.21 (step @p33 :rule cong :premises (@p32) :args (@t27)) % 1.02/1.21 (step @p34 :rule trans :premises (@p33 @p31)) % 1.02/1.21 (step @p35 :rule refl :args (@t5)) % 1.02/1.21 (step @p36 :rule ho_cong :premises (@p35 @p32)) % 1.02/1.21 (step @p37 :rule cong :premises (@p36 @p34) :args ((= (_ @t5 @t26) @t27))) % 1.02/1.21 (step @p38 :rule symm :premises (@p37)) % 1.02/1.21 (step @p39 :rule refl :args (@t6)) % 1.02/1.21 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 1.02/1.21 (step @p41 :rule refl :args (@t4)) % 1.02/1.21 (step @p42 :rule cong :premises (@p41 @p32) :args ((= @t4 @t26))) % 1.02/1.21 (step @p43 :rule symm :premises (@p42)) % 1.02/1.21 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 1.02/1.21 (step @p45 :rule ho_cong :premises (@p35 @p44)) % 1.02/1.21 (step @p46 :rule trans :premises (@p45 @p40)) % 1.02/1.21 (step @p47 :rule refl :args (@t1)) % 1.02/1.21 (step @p48 :rule cong :premises (@p47 @p46) :args (@t46)) % 1.02/1.21 (step @p49 :rule cong :premises (@p48) :args (@t47)) % 1.02/1.21 (step @p50 :rule cong :premises (@p49) :args (@t48)) % 1.02/1.21 (step @p51 :rule cong :premises (@p50) :args (@t49)) % 1.02/1.21 (step @p52 :rule exists-elim :args ((= (exists @t7 @t46) @t49))) % 1.02/1.21 (step @p53 :rule trans :premises (@p52 @p51)) % 1.02/1.21 (step @p54 :rule eq-symm :args (@t6 @t1)) % 1.02/1.21 (step @p55 :rule cong :premises (@p54) :args (@t8)) % 1.02/1.21 (step @p56 :rule trans :premises (@p55 @p53)) % 1.02/1.21 (step @p57 :rule cong :premises (@p56) :args (@t10)) % 1.02/1.21 (step @p58 :rule refl :args (@t31)) % 1.02/1.21 (step @p59 :rule refl :args (@t12)) % 1.02/1.21 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t12 @t31))) % 1.02/1.21 (step @p61 :rule symm :premises (@p60)) % 1.02/1.21 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 1.02/1.21 (step @p63 :rule cong :premises (@p47 @p62) :args (@t50)) % 1.02/1.21 (step @p64 :rule cong :premises (@p63) :args (@t51)) % 1.02/1.21 (step @p65 :rule cong :premises (@p64) :args (@t52)) % 1.02/1.21 (step @p66 :rule cong :premises (@p65) :args (@t53)) % 1.02/1.21 (step @p67 :rule exists-elim :args ((= (exists @t13 @t50) @t53))) % 1.02/1.21 (step @p68 :rule trans :premises (@p67 @p66)) % 1.02/1.21 (step @p69 :rule eq-symm :args (@t12 @t1)) % 1.02/1.21 (step @p70 :rule cong :premises (@p69) :args (@t14)) % 1.02/1.21 (step @p71 :rule trans :premises (@p70 @p68)) % 1.02/1.21 (step @p72 :rule cong :premises (@p71) :args (@t15)) % 1.02/1.21 (step @p73 :rule refl :args (@t16)) % 1.02/1.21 (step @p74 :rule cong :premises (@p73 @p44) :args (@t54)) % 1.02/1.21 (step @p75 :rule cong :premises (@p74) :args (@t55)) % 1.02/1.21 (step @p76 :rule cong :premises (@p75) :args (@t56)) % 1.02/1.21 (step @p77 :rule cong :premises (@p76) :args (@t57)) % 1.02/1.21 (step @p78 :rule exists-elim :args ((= (exists @t7 @t54) @t57))) % 1.02/1.21 (step @p79 :rule trans :premises (@p78 @p77)) % 1.02/1.21 (step @p80 :rule eq-symm :args (@t4 @t16)) % 1.02/1.21 (step @p81 :rule cong :premises (@p80) :args (@t17)) % 1.02/1.21 (step @p82 :rule trans :premises (@p81 @p79)) % 1.02/1.21 (step @p83 :rule cong :premises (@p82) :args (@t19)) % 1.02/1.21 (step @p84 :rule nary_cong :premises (@p83 @p72) :args (@t20)) % 1.02/1.21 (step @p85 :rule cong :premises (@p84 @p57) :args (@t21)) % 1.02/1.21 (step @p86 :rule cong :premises (@p85) :args (@t23)) % 1.02/1.21 (step @p87 :rule trans :premises (@p86 @p30)) % 1.02/1.21 (step @p88 :rule cong :premises (@p87) :args (@t24)) % 1.02/1.21 (step @p89 :rule eq_resolve :premises (@p1 @p88)) % 1.02/1.21 (step @p90 :rule refl :args (@t72)) % 1.02/1.21 (step @p91 :rule bool-double-not-elim :args (@t58)) % 1.02/1.21 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t73) @t72))) % 1.02/1.21 (step @p93 :rule eq-symm :args (@t62 @t63)) % 1.02/1.21 (step @p94 :rule cong :premises (@p93) :args (@t74)) % 1.02/1.21 (step @p95 :rule cong :premises (@p94) :args (@t75)) % 1.02/1.21 (step @p96 :rule cong :premises (@p95) :args (@t76)) % 1.02/1.21 (step @p97 :rule refl :args (@t68)) % 1.02/1.21 (step @p98 :rule refl :args (@t70)) % 1.02/1.21 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args (@t77)) % 1.02/1.21 (step @p100 :rule cong :premises (@p99) :args (@t78)) % 1.02/1.21 (step @p101 :rule refl :args (@t73)) % 1.02/1.21 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t73 @t78))) % 1.02/1.21 (assume-push @p182 @t73) % 1.02/1.21 (step @p104 :rule skolemize :premises (@p89)) % 1.02/1.21 (step-pop @p183 :rule scope :premises (@p104)) % 1.02/1.21 (step @p105 :rule process_scope :premises (@p183) :args (@t78)) % 1.02/1.21 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 1.02/1.21 (step @p108 :rule implies_elim :premises (@p107)) % 1.02/1.21 (step @p109 :rule eq_resolve :premises (@p108 @p92)) % 1.02/1.21 (step @p110 :rule chain_m_resolution :premises (@p109 @p89) :args (@t72 @t79 (@list @t58))) % 1.02/1.21 (step @p111 :rule bool-double-not-elim :args (@t64)) % 1.02/1.21 (step @p112 :rule refl :args (@t71)) % 1.02/1.21 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t71 (not @t65)))) % 1.02/1.21 (step @p114 :rule cnf_or_neg :args (@t71 2)) % 1.02/1.21 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 1.02/1.21 (step @p116 :rule reordering :premises (@p115) :args ((or @t64 @t71))) % 1.02/1.21 (step @p117 :rule chain_m_resolution :premises (@p116 @p110) :args (@t64 @t79 @t80)) % 1.02/1.21 (step @p118 :rule bool-double-not-elim :args (@t69)) % 1.02/1.21 (step @p119 :rule nary_cong :premises (@p112 @p118) :args ((or @t71 (not @t70)))) % 1.02/1.21 (step @p120 :rule cnf_or_neg :args (@t71 0)) % 1.02/1.21 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 1.02/1.21 (step @p122 :rule reordering :premises (@p121) :args ((or @t69 @t71))) % 1.02/1.21 (step @p123 :rule chain_m_resolution :premises (@p122 @p110) :args (@t69 @t79 @t80)) % 1.02/1.21 (step @p124 :rule eq-symm :args (@t82 @t60)) % 1.02/1.21 (step @p125 :rule cong :premises (@p124) :args (@t83)) % 1.02/1.21 (step @p126 :rule cong :premises (@p125) :args (@t84)) % 1.02/1.21 (step @p127 :rule cong :premises (@p126) :args (@t85)) % 1.02/1.21 (step @p128 :rule refl :args (@t69)) % 1.02/1.21 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t69 @t85))) % 1.02/1.21 (assume-push @p184 @t69) % 1.02/1.21 (step @p131 :rule instantiate :premises (@p123) :args ((@list @t82))) % 1.02/1.21 (step-pop @p185 :rule scope :premises (@p131)) % 1.02/1.21 (step @p132 :rule process_scope :premises (@p185) :args (@t85)) % 1.02/1.21 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 1.02/1.21 (step @p135 :rule implies_elim :premises (@p134)) % 1.02/1.21 (step @p136 :rule chain_m_resolution :premises (@p135 @p123) :args (@t87 (@list false) (@list @t69))) % 1.02/1.21 (step @p137 :rule refl :args (@t90)) % 1.02/1.21 (step @p138 :rule bool-double-not-elim :args (@t86)) % 1.02/1.21 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t87) @t90))) % 1.02/1.21 (step @p140 :rule eq-symm :args (@t89 @t82)) % 1.02/1.21 (step @p141 :rule bool-double-not-elim :args (@t91)) % 1.02/1.21 (step @p142 :rule trans :premises (@p141 @p140)) % 1.02/1.21 (step @p143 :rule refl :args (@t87)) % 1.02/1.21 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t87 @t92))) % 1.02/1.21 (assume-push @p186 @t87) % 1.02/1.21 (step @p146 :rule skolemize :premises (@p136)) % 1.02/1.21 (step-pop @p187 :rule scope :premises (@p146)) % 1.02/1.21 (step @p147 :rule process_scope :premises (@p187) :args (@t92)) % 1.02/1.21 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 1.02/1.21 (step @p150 :rule implies_elim :premises (@p149)) % 1.02/1.21 (step @p151 :rule eq_resolve :premises (@p150 @p139)) % 1.02/1.21 (step @p152 :rule chain_m_resolution :premises (@p151 @p136) :args (@t90 @t79 (@list @t86))) % 1.02/1.21 (step @p153 :rule cong :premises (@p152) :args (@t93)) % 1.02/1.21 (step @p154 :rule bool-double-not-elim :args (@t67)) % 1.02/1.21 (step @p155 :rule nary_cong :premises (@p112 @p154) :args ((or @t71 (not @t68)))) % 1.02/1.21 (step @p156 :rule cnf_or_neg :args (@t71 1)) % 1.02/1.21 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 1.02/1.21 (step @p158 :rule reordering :premises (@p157) :args ((or @t67 @t71))) % 1.02/1.21 (step @p159 :rule chain_m_resolution :premises (@p158 @p110) :args (@t67 @t79 @t80)) % 1.02/1.21 (step @p160 :rule instantiate :premises (@p159) :args ((@list @t63))) % 1.02/1.21 (step @p161 :rule refl :args (@t94)) % 1.02/1.21 (step @p162 :rule bool-double-not-elim :args (@t81)) % 1.02/1.21 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or (not @t95) @t94))) % 1.02/1.21 (step @p164 :rule bool-double-not-elim :args (@t94)) % 1.02/1.21 (step @p165 :rule refl :args (@t95)) % 1.02/1.21 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t95 @t96))) % 1.02/1.21 (assume-push @p188 @t95) % 1.02/1.21 (step @p168 :rule skolemize :premises (@p160)) % 1.02/1.21 (step-pop @p189 :rule scope :premises (@p168)) % 1.02/1.21 (step @p169 :rule process_scope :premises (@p189) :args (@t96)) % 1.02/1.21 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 1.02/1.21 (step @p172 :rule implies_elim :premises (@p171)) % 1.02/1.21 (step @p173 :rule eq_resolve :premises (@p172 @p163)) % 1.02/1.21 (step @p174 :rule chain_m_resolution :premises (@p173 @p160) :args (@t94 @t79 (@list @t81))) % 1.02/1.21 (step @p175 :rule trans :premises (@p174 @p153)) % 1.02/1.21 (assume-push @p190 @t64) % 1.02/1.21 (step @p177 :rule instantiate :premises (@p117) :args ((@list @t88))) % 1.02/1.21 (step-pop @p191 :rule scope :premises (@p177)) % 1.02/1.21 (step @p178 :rule process_scope :premises (@p191) :args ((not @t97))) % 1.02/1.21 (step @p180 :rule implies_elim :premises (@p178)) % 1.02/1.21 (step @p181 false :rule chain_m_resolution :premises (@p180 @p175 @p117) :args (false (@list false false) (@list @t97 @t64))) % 1.02/1.21 ) % 1.02/1.21 % SZS output end Proof % 1.02/1.21 % cvc5 exiting %------------------------------------------------------------------------------