%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP025-1 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:19:37 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP025-1 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 00:40:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.d3 $$unsorted) % 0.38/0.60 (declare-const tptp.d2 $$unsorted) % 0.38/0.60 (declare-const tptp.identity_for (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.group_member (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.g2 $$unsorted) % 0.38/0.60 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.g1 $$unsorted) % 0.38/0.60 (declare-const tptp.a $$unsorted) % 0.38/0.60 (declare-const tptp.b $$unsorted) % 0.38/0.60 (declare-const tptp.c $$unsorted) % 0.38/0.60 (declare-const tptp.an_isomorphism (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.d $$unsorted) % 0.38/0.60 (declare-const tptp.inverse (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.d1 $$unsorted) % 0.38/0.60 (define @t1 () (@var "Xg" $$unsorted)) % 0.38/0.60 (define @t2 () (tptp.identity_for @t1)) % 0.38/0.60 (define @t3 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t4 () (@list @t1 @t3)) % 0.38/0.60 (define @t5 () (tptp.inverse @t1 @t3)) % 0.38/0.60 (define @t6 () (not (tptp.group_member @t3 @t1))) % 0.38/0.60 (define @t7 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t8 () (tptp.multiply @t1 @t3 @t7)) % 0.38/0.60 (define @t9 () (not (tptp.group_member @t7 @t1))) % 0.38/0.60 (define @t10 () (@list @t3 @t1 @t7)) % 0.38/0.60 (define @t11 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t12 () (@var "W" $$unsorted)) % 0.38/0.60 (define @t13 () (not (tptp.product @t1 @t3 @t7 @t12))) % 0.38/0.60 (define @t14 () (not (tptp.product @t1 @t3 @t7 @t11))) % 0.38/0.60 (define @t15 () (or @t14 @t13 (= @t12 @t11))) % 0.38/0.60 (define @t16 () (@list @t1 @t3 @t7 @t11 @t12)) % 0.38/0.60 (define @t17 () (forall @t16 @t15)) % 0.38/0.60 (define @t18 () (@var "Xyz" $$unsorted)) % 0.38/0.60 (define @t19 () (@var "Yz" $$unsorted)) % 0.38/0.60 (define @t20 () (tptp.product @t1 @t3 @t19 @t18)) % 0.38/0.60 (define @t21 () (@var "Xy" $$unsorted)) % 0.38/0.60 (define @t22 () (tptp.product @t1 @t21 @t11 @t18)) % 0.38/0.60 (define @t23 () (not (tptp.product @t1 @t7 @t11 @t19))) % 0.38/0.60 (define @t24 () (not (tptp.product @t1 @t3 @t7 @t21))) % 0.38/0.60 (define @t25 () (@list @t1 @t3 @t7 @t21 @t11 @t19 @t18)) % 0.38/0.60 (define @t26 () (@list @t3)) % 0.38/0.60 (define @t27 () (forall @t26 (or (not (tptp.group_member @t3 tptp.g1)) (= @t3 tptp.a) (= @t3 tptp.b)))) % 0.38/0.60 (define @t28 () (tptp.product tptp.g1 tptp.a tptp.a tptp.a)) % 0.38/0.60 (define @t29 () (tptp.product tptp.g1 tptp.a tptp.b tptp.b)) % 0.38/0.60 (define @t30 () (tptp.product tptp.g1 tptp.b tptp.a tptp.b)) % 0.38/0.60 (define @t31 () (tptp.product tptp.g1 tptp.b tptp.b tptp.a)) % 0.38/0.60 (define @t32 () (tptp.product tptp.g2 tptp.c tptp.c tptp.c)) % 0.38/0.60 (define @t33 () (tptp.product tptp.g2 tptp.c tptp.d tptp.d)) % 0.38/0.60 (define @t34 () (tptp.product tptp.g2 tptp.d tptp.c tptp.d)) % 0.38/0.60 (define @t35 () (tptp.product tptp.g2 tptp.d tptp.d tptp.c)) % 0.38/0.60 (define @t36 () (tptp.an_isomorphism tptp.a)) % 0.38/0.60 (define @t37 () (tptp.an_isomorphism tptp.b)) % 0.38/0.60 (define @t38 () (tptp.group_member tptp.d1 tptp.g1)) % 0.38/0.60 (define @t39 () (tptp.group_member tptp.d2 tptp.g1)) % 0.38/0.60 (define @t40 () (tptp.group_member tptp.d3 tptp.g1)) % 0.38/0.60 (define @t41 () (tptp.product tptp.g1 tptp.d1 tptp.d2 tptp.d3)) % 0.38/0.60 (define @t42 () (tptp.an_isomorphism tptp.d3)) % 0.38/0.60 (define @t43 () (tptp.an_isomorphism tptp.d2)) % 0.38/0.60 (define @t44 () (tptp.an_isomorphism tptp.d1)) % 0.38/0.60 (define @t45 () (tptp.product tptp.g2 @t44 @t43 @t42)) % 0.38/0.60 (define @t46 () (not @t45)) % 0.38/0.60 (define @t47 () (not @t38)) % 0.38/0.60 (define @t48 () (or @t47 (= tptp.d1 tptp.a) (= tptp.d1 tptp.b))) % 0.38/0.60 (define @t49 () (= tptp.b tptp.d1)) % 0.38/0.60 (define @t50 () (= tptp.a tptp.d1)) % 0.38/0.60 (define @t51 () (or @t47 @t50 @t49)) % 0.38/0.60 (define @t52 () (@list false)) % 0.38/0.60 (define @t53 () (@list @t27)) % 0.38/0.60 (define @t54 () (tptp.product tptp.g1 tptp.b tptp.b tptp.d3)) % 0.38/0.60 (define @t55 () (= tptp.a tptp.d3)) % 0.38/0.60 (define @t56 () (not @t55)) % 0.38/0.60 (define @t57 () (not @t31)) % 0.38/0.60 (define @t58 () (not @t54)) % 0.38/0.60 (define @t59 () (not @t58)) % 0.38/0.60 (define @t60 () (= false true)) % 0.38/0.60 (define @t61 () (not @t40)) % 0.38/0.60 (define @t62 () (= tptp.d3 tptp.b)) % 0.38/0.60 (define @t63 () (= tptp.d3 tptp.a)) % 0.38/0.60 (define @t64 () (or @t61 @t63 @t62)) % 0.38/0.60 (define @t65 () (= tptp.b tptp.d3)) % 0.38/0.60 (define @t66 () (or @t61 @t55 @t65)) % 0.38/0.60 (define @t67 () (not @t65)) % 0.38/0.60 (define @t68 () (= tptp.a tptp.d2)) % 0.38/0.60 (define @t69 () (not @t68)) % 0.38/0.60 (define @t70 () (not @t49)) % 0.38/0.60 (define @t71 () (= tptp.d @t37)) % 0.38/0.60 (define @t72 () (not @t71)) % 0.38/0.60 (define @t73 () (= tptp.c @t36)) % 0.38/0.60 (define @t74 () (not @t73)) % 0.38/0.60 (define @t75 () (not @t34)) % 0.38/0.60 (define @t76 () (not @t46)) % 0.38/0.60 (define @t77 () (= true false)) % 0.38/0.60 (define @t78 () (and @t46 @t49 @t71 @t68 @t73 @t65 @t34)) % 0.38/0.60 (define @t79 () (not @t39)) % 0.38/0.60 (define @t80 () (or @t79 (= tptp.d2 tptp.a) (= tptp.d2 tptp.b))) % 0.38/0.60 (define @t81 () (= tptp.b tptp.d2)) % 0.38/0.60 (define @t82 () (or @t79 @t68 @t81)) % 0.38/0.60 (define @t83 () (not @t81)) % 0.38/0.60 (define @t84 () (not @t41)) % 0.38/0.60 (define @t85 () (tptp.product tptp.g1 tptp.d1 tptp.d2 tptp.b)) % 0.38/0.60 (define @t86 () (and @t58 @t49 @t65 @t81 @t41)) % 0.38/0.60 (define @t87 () (or @t57 @t58 @t55)) % 0.38/0.60 (define @t88 () (not @t35)) % 0.38/0.60 (define @t89 () (and @t46 @t49 @t71 @t81 @t55 @t73 @t35)) % 0.38/0.60 (define @t90 () (not @t85)) % 0.38/0.60 (define @t91 () (or @t84 @t90 @t62)) % 0.38/0.60 (define @t92 () (forall @t16 (or @t14 @t13 (= @t11 @t12)))) % 0.38/0.60 (define @t93 () (or @t84 @t90 @t65)) % 0.38/0.60 (define @t94 () (@list @t92)) % 0.38/0.60 (define @t95 () (and @t30 @t49 @t68)) % 0.38/0.60 (define @t96 () (@list false true false)) % 0.38/0.60 (define @t97 () (tptp.product tptp.g1 tptp.d1 tptp.d2 tptp.a)) % 0.38/0.60 (define @t98 () (and @t28 @t50 @t68)) % 0.38/0.60 (define @t99 () (not @t97)) % 0.38/0.60 (define @t100 () (or @t84 @t99 @t63)) % 0.38/0.60 (define @t101 () (or @t84 @t99 @t55)) % 0.38/0.60 (define @t102 () (not @t50)) % 0.38/0.60 (define @t103 () (not @t32)) % 0.38/0.60 (define @t104 () (and @t32 @t73 @t50 @t68 @t55 @t46)) % 0.38/0.60 (define @t105 () (and @t29 @t50 @t81)) % 0.38/0.60 (define @t106 () (@list false false false)) % 0.38/0.60 (define @t107 () (not @t33)) % 0.38/0.60 (define @t108 () (and @t33 @t73 @t50 @t71 @t81 @t65 @t46)) % 0.38/0.60 (assume @p1 (forall (@list @t1) (tptp.group_member @t2 @t1))) % 0.38/0.60 (assume @p2 (forall @t4 (tptp.product @t1 @t2 @t3 @t3))) % 0.38/0.60 (assume @p3 (forall @t4 (tptp.product @t1 @t3 @t2 @t3))) % 0.38/0.60 (assume @p4 (forall (@list @t3 @t1) (or @t6 (tptp.group_member @t5 @t1)))) % 0.38/0.60 (assume @p5 (forall @t4 (tptp.product @t1 @t5 @t3 @t2))) % 0.38/0.60 (assume @p6 (forall @t4 (tptp.product @t1 @t3 @t5 @t2))) % 0.38/0.60 (assume @p7 (forall @t10 (or @t6 @t9 (tptp.product @t1 @t3 @t7 @t8)))) % 0.38/0.60 (assume @p8 (forall @t10 (or @t6 @t9 (tptp.group_member @t8 @t1)))) % 0.38/0.60 (assume @p9 @t17) % 0.38/0.60 (assume @p10 (forall @t25 (or @t24 @t23 (not @t22) @t20))) % 0.38/0.60 (assume @p11 (forall @t25 (or @t24 @t23 (not @t20) @t22))) % 0.38/0.60 (assume @p12 (tptp.group_member tptp.a tptp.g1)) % 0.38/0.60 (assume @p13 (tptp.group_member tptp.b tptp.g1)) % 0.38/0.60 (assume @p14 (tptp.group_member tptp.c tptp.g2)) % 0.38/0.60 (assume @p15 (tptp.group_member tptp.d tptp.g2)) % 0.38/0.60 (assume @p16 @t27) % 0.38/0.60 (assume @p17 (forall @t26 (or (not (tptp.group_member @t3 tptp.g2)) (= @t3 tptp.c) (= @t3 tptp.d)))) % 0.38/0.60 (assume @p18 @t28) % 0.38/0.60 (assume @p19 @t29) % 0.38/0.60 (assume @p20 @t30) % 0.38/0.60 (assume @p21 @t31) % 0.38/0.60 (assume @p22 @t32) % 0.38/0.60 (assume @p23 @t33) % 0.38/0.60 (assume @p24 @t34) % 0.38/0.60 (assume @p25 @t35) % 0.38/0.60 (assume @p26 (= @t36 tptp.c)) % 0.38/0.60 (assume @p27 (= @t37 tptp.d)) % 0.38/0.60 (assume @p28 @t38) % 0.38/0.60 (assume @p29 @t39) % 0.38/0.60 (assume @p30 @t40) % 0.38/0.60 (assume @p31 @t41) % 0.38/0.60 (assume @p32 @t46) % 0.38/0.60 (step @p33 :rule symm :premises (@p26)) % 0.38/0.60 (step @p34 :rule symm :premises (@p27)) % 0.38/0.60 (step @p35 :rule eq-symm :args (tptp.d1 tptp.b)) % 0.38/0.60 (step @p36 :rule eq-symm :args (tptp.d1 tptp.a)) % 0.38/0.60 (step @p37 :rule refl :args (@t47)) % 0.38/0.60 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args (@t48)) % 0.38/0.60 (step @p39 :rule refl :args (@t27)) % 0.38/0.60 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t27 @t48))) % 0.38/0.60 (assume-push @p469 @t27) % 0.38/0.60 (step @p42 :rule instantiate :premises (@p16) :args ((@list tptp.d1))) % 0.38/0.60 (step-pop @p470 :rule scope :premises (@p42)) % 0.38/0.60 (step @p43 :rule process_scope :premises (@p470) :args (@t48)) % 0.38/0.60 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 0.38/0.60 (step @p46 :rule implies_elim :premises (@p45)) % 0.38/0.60 (step @p47 :rule chain_m_resolution :premises (@p46 @p16) :args (@t51 @t52 @t53)) % 0.38/0.60 (step @p48 :rule bool-double-not-elim :args (@t54)) % 0.38/0.60 (step @p49 :rule refl :args (@t56)) % 0.38/0.60 (step @p50 :rule refl :args (@t57)) % 0.38/0.60 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args ((or @t57 @t56 @t59))) % 0.38/0.60 (assume-push @p471 @t31) % 0.38/0.60 (assume-push @p472 @t55) % 0.38/0.60 (assume-push @p473 @t58) % 0.38/0.60 (step @p55 :rule evaluate :args (@t60)) % 0.38/0.60 (step @p56 :rule true_intro :premises (@p21)) % 0.38/0.60 (step @p57 :rule symm :premises (@p472)) % 0.38/0.60 (step @p58 :rule refl :args (tptp.b)) % 0.38/0.60 (step @p59 :rule refl :args (tptp.g1)) % 0.38/0.60 (step @p60 :rule cong :premises (@p59 @p58 @p58 @p57) :args (@t54)) % 0.38/0.60 (step @p61 :rule false_intro :premises (@p473)) % 0.38/0.60 (step @p62 :rule symm :premises (@p61)) % 0.38/0.60 (step @p63 :rule trans :premises (@p62 @p60 @p56)) % 0.38/0.60 (step @p64 false :rule eq_resolve :premises (@p63 @p55)) % 0.38/0.60 (step-pop @p474 :rule scope :premises (@p64)) % 0.38/0.60 (step-pop @p475 :rule scope :premises (@p474)) % 0.38/0.60 (step-pop @p476 :rule scope :premises (@p475)) % 0.38/0.60 (step @p65 :rule process_scope :premises (@p476) :args (false)) % 0.38/0.60 (step @p69 :rule not_and :premises (@p65)) % 0.38/0.60 (step @p70 :rule eq_resolve :premises (@p69 @p51)) % 0.38/0.60 (step @p71 :rule eq-symm :args (tptp.d3 tptp.b)) % 0.38/0.60 (step @p72 :rule eq-symm :args (tptp.d3 tptp.a)) % 0.38/0.60 (step @p73 :rule refl :args (@t61)) % 0.38/0.60 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args (@t64)) % 0.38/0.60 (step @p75 :rule cong :premises (@p39 @p74) :args ((=> @t27 @t64))) % 0.38/0.60 (assume-push @p477 @t27) % 0.38/0.60 (step @p77 :rule instantiate :premises (@p16) :args ((@list tptp.d3))) % 0.38/0.60 (step-pop @p478 :rule scope :premises (@p77)) % 0.38/0.60 (step @p78 :rule process_scope :premises (@p478) :args (@t64)) % 0.38/0.60 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.38/0.60 (step @p81 :rule implies_elim :premises (@p80)) % 0.38/0.60 (step @p82 :rule chain_m_resolution :premises (@p81 @p16) :args (@t66 @t52 @t53)) % 0.38/0.60 (step @p83 :rule cnf_or_pos :args (@t66)) % 0.38/0.60 (step @p84 :rule reordering :premises (@p83) :args ((or @t61 @t55 @t65 (not @t66)))) % 0.38/0.60 (step @p85 :rule refl :args (@t67)) % 0.38/0.60 (step @p86 :rule refl :args (@t69)) % 0.38/0.60 (step @p87 :rule refl :args (@t70)) % 0.38/0.60 (step @p88 :rule refl :args (@t72)) % 0.38/0.60 (step @p89 :rule refl :args (@t74)) % 0.38/0.60 (step @p90 :rule bool-double-not-elim :args (@t45)) % 0.38/0.60 (step @p91 :rule refl :args (@t75)) % 0.38/0.60 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88 @p87 @p86 @p85) :args ((or @t75 @t76 @t74 @t72 @t70 @t69 @t67))) % 0.38/0.60 (assume-push @p479 @t46) % 0.38/0.60 (assume-push @p480 @t49) % 0.38/0.60 (assume-push @p481 @t71) % 0.38/0.60 (assume-push @p482 @t68) % 0.38/0.60 (assume-push @p483 @t73) % 0.38/0.60 (assume-push @p484 @t65) % 0.38/0.60 (assume-push @p485 @t34) % 0.38/0.60 (step @p100 :rule evaluate :args (@t77)) % 0.38/0.60 (step @p101 :rule false_intro :premises (@p32)) % 0.38/0.60 (step @p102 :rule cong :premises (@p484) :args (@t37)) % 0.38/0.60 (step @p103 :rule trans :premises (@p34 @p102)) % 0.38/0.60 (step @p104 :rule cong :premises (@p482) :args (@t36)) % 0.38/0.60 (step @p105 :rule trans :premises (@p33 @p104)) % 0.38/0.60 (step @p106 :rule cong :premises (@p480) :args (@t37)) % 0.38/0.60 (step @p107 :rule trans :premises (@p34 @p106)) % 0.38/0.60 (step @p108 :rule refl :args (tptp.g2)) % 0.38/0.60 (step @p109 :rule cong :premises (@p108 @p107 @p105 @p103) :args (@t34)) % 0.38/0.60 (step @p110 :rule true_intro :premises (@p24)) % 0.38/0.60 (step @p111 :rule symm :premises (@p110)) % 0.38/0.60 (step @p112 :rule trans :premises (@p111 @p109 @p101)) % 0.38/0.60 (step @p113 false :rule eq_resolve :premises (@p112 @p100)) % 0.38/0.60 (step-pop @p486 :rule scope :premises (@p113)) % 0.38/0.60 (step-pop @p487 :rule scope :premises (@p486)) % 0.38/0.60 (step-pop @p488 :rule scope :premises (@p487)) % 0.38/0.60 (step-pop @p489 :rule scope :premises (@p488)) % 0.38/0.60 (step-pop @p490 :rule scope :premises (@p489)) % 0.38/0.60 (step-pop @p491 :rule scope :premises (@p490)) % 0.38/0.60 (step-pop @p492 :rule scope :premises (@p491)) % 0.38/0.60 (step @p114 :rule process_scope :premises (@p492) :args (false)) % 0.38/0.60 (assume-push @p493 @t34) % 0.38/0.60 (assume-push @p494 @t46) % 0.38/0.60 (assume-push @p495 @t73) % 0.38/0.60 (assume-push @p496 @t71) % 0.38/0.60 (assume-push @p497 @t49) % 0.38/0.60 (assume-push @p498 @t68) % 0.38/0.60 (assume-push @p499 @t65) % 0.38/0.60 (step @p129 :rule and_intro :premises (@p32 @p497 @p34 @p498 @p33 @p499 @p24)) % 0.38/0.60 (step-pop @p500 :rule scope :premises (@p129)) % 0.38/0.60 (step-pop @p501 :rule scope :premises (@p500)) % 0.38/0.60 (step-pop @p502 :rule scope :premises (@p501)) % 0.38/0.60 (step-pop @p503 :rule scope :premises (@p502)) % 0.38/0.60 (step-pop @p504 :rule scope :premises (@p503)) % 0.38/0.60 (step-pop @p505 :rule scope :premises (@p504)) % 0.38/0.60 (step-pop @p506 :rule scope :premises (@p505)) % 0.38/0.60 (step @p130 :rule process_scope :premises (@p506) :args (@t78)) % 0.38/0.60 (step @p138 :rule implies_elim :premises (@p130)) % 0.38/0.60 (step @p139 :rule resolution :premises (@p138 @p114) :args (true @t78)) % 0.38/0.60 (step @p140 :rule not_and :premises (@p139)) % 0.38/0.60 (step @p141 :rule eq_resolve :premises (@p140 @p92)) % 0.38/0.60 (step @p142 :rule reordering :premises (@p141) :args ((or @t45 @t75 @t74 @t72 @t70 @t69 @t67))) % 0.38/0.60 (step @p143 :rule eq-symm :args (tptp.d2 tptp.b)) % 0.38/0.60 (step @p144 :rule eq-symm :args (tptp.d2 tptp.a)) % 0.38/0.60 (step @p145 :rule 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(step @p353 :rule cong :premises (@p352) :args (@t43)) % 0.38/0.60 (step @p354 :rule trans :premises (@p353 @p26)) % 0.38/0.60 (step @p355 :rule symm :premises (@p587)) % 0.38/0.60 (step @p356 :rule cong :premises (@p355) :args (@t44)) % 0.38/0.60 (step @p357 :rule trans :premises (@p356 @p26)) % 0.38/0.60 (step @p108 :rule refl :args (tptp.g2)) % 0.38/0.60 (step @p358 :rule cong :premises (@p108 @p357 @p354 @p351) :args (@t45)) % 0.38/0.60 (step @p101 :rule false_intro :premises (@p32)) % 0.38/0.60 (step @p359 :rule symm :premises (@p101)) % 0.38/0.60 (step @p360 :rule trans :premises (@p359 @p358 @p348)) % 0.38/0.60 (step @p361 false :rule eq_resolve :premises (@p360 @p55)) % 0.38/0.60 (step-pop @p591 :rule scope :premises (@p361)) % 0.38/0.60 (step-pop @p592 :rule scope :premises (@p591)) % 0.38/0.60 (step-pop @p593 :rule scope :premises (@p592)) % 0.38/0.60 (step-pop @p594 :rule scope :premises (@p593)) % 0.38/0.60 (step-pop @p595 :rule scope :premises (@p594)) % 0.38/0.60 (step-pop @p596 :rule scope :premises (@p595)) % 0.38/0.60 (step @p362 :rule process_scope :premises (@p596) :args (false)) % 0.38/0.60 (assume-push @p597 @t32) % 0.38/0.60 (assume-push @p598 @t46) % 0.38/0.60 (assume-push @p599 @t73) % 0.38/0.60 (assume-push @p600 @t50) % 0.38/0.60 (assume-push @p601 @t68) % 0.38/0.60 (assume-push @p602 @t55) % 0.38/0.60 (step @p375 :rule and_intro :premises (@p22 @p33 @p600 @p601 @p602 @p32)) % 0.38/0.60 (step-pop @p603 :rule scope :premises (@p375)) % 0.38/0.60 (step-pop @p604 :rule scope :premises (@p603)) % 0.38/0.60 (step-pop @p605 :rule scope :premises (@p604)) % 0.38/0.60 (step-pop @p606 :rule scope :premises (@p605)) % 0.38/0.60 (step-pop @p607 :rule scope :premises (@p606)) % 0.38/0.60 (step-pop @p608 :rule scope :premises (@p607)) % 0.38/0.60 (step @p376 :rule process_scope :premises (@p608) :args (@t104)) % 0.38/0.60 (step @p383 :rule implies_elim :premises (@p376)) % 0.38/0.60 (step @p384 :rule resolution :premises (@p383 @p362) :args (true @t104)) % 0.38/0.60 (step @p385 :rule not_and :premises (@p384)) % 0.38/0.60 (step @p386 :rule eq_resolve :premises (@p385 @p341)) % 0.38/0.60 (step @p387 :rule reordering :premises (@p386) :args ((or @t45 @t103 @t74 @t102 @t69 @t56))) % 0.38/0.60 (step @p388 :rule chain_m_resolution :premises (@p387 @p300 @p32 @p33 @p22 @p338 @p336 @p31 @p326 @p300 @p18) :args (@t69 (@list false true false false false false false false false false) (@list @t50 @t45 @t73 @t32 @t55 @t101 @t41 @t97 @t50 @t28))) % 0.38/0.60 (step @p389 :rule chain_m_resolution :premises (@p156 @p29 @p388 @p154) :args (@t81 @t96 (@list @t39 @t68 @t82))) % 0.38/0.60 (assume-push @p609 @t29) % 0.38/0.60 (assume-push @p610 @t50) % 0.38/0.60 (assume-push @p611 @t81) % 0.38/0.60 (assume-push @p612 @t29) % 0.38/0.60 (assume-push @p613 @t50) % 0.38/0.60 (assume-push @p614 @t81) % 0.38/0.60 (step @p396 :rule true_intro :premises (@p19)) % 0.38/0.60 (step @p58 :rule refl :args (tptp.b)) % 0.38/0.60 (step @p397 :rule symm :premises (@p611)) % 0.38/0.60 (step @p398 :rule symm :premises (@p610)) % 0.38/0.60 (step @p59 :rule refl :args (tptp.g1)) % 0.38/0.60 (step @p399 :rule cong :premises (@p59 @p398 @p397 @p58) :args (@t85)) % 0.38/0.60 (step @p400 :rule trans :premises (@p399 @p396)) % 0.38/0.60 (step @p401 :rule true_elim :premises (@p400)) % 0.38/0.60 (step-pop @p615 :rule scope :premises (@p401)) % 0.38/0.60 (step-pop @p616 :rule scope :premises (@p615)) % 0.38/0.60 (step-pop @p617 :rule scope :premises (@p616)) % 0.38/0.60 (step @p402 :rule process_scope :premises (@p617) :args (@t85)) % 0.38/0.60 (step @p406 :rule and_intro :premises (@p19 @p610 @p611)) % 0.38/0.60 (step @p407 :rule modus_ponens :premises (@p406 @p402)) % 0.38/0.60 (step-pop @p618 :rule scope :premises (@p407)) % 0.38/0.60 (step-pop @p619 :rule scope :premises (@p618)) % 0.38/0.60 (step-pop @p620 :rule scope :premises (@p619)) % 0.38/0.60 (step @p408 :rule process_scope :premises (@p620) :args (@t85)) % 0.38/0.60 (step @p412 :rule implies_elim :premises (@p408)) % 0.38/0.60 (step @p413 :rule cnf_and_neg :args (@t105)) % 0.38/0.60 (step @p414 :rule resolution :premises (@p413 @p412) :args (true @t105)) % 0.38/0.60 (step @p415 :rule chain_m_resolution :premises (@p414 @p19 @p300 @p389) :args (@t85 @t106 (@list @t29 @t50 @t81))) % 0.38/0.60 (step @p416 :rule chain_m_resolution :premises (@p271 @p31 @p415 @p269) :args (@t65 @t106 (@list @t41 @t85 @t93))) % 0.38/0.60 (step @p417 :rule refl :args (@t107)) % 0.38/0.60 (step @p418 :rule nary_cong :premises (@p417 @p90 @p89 @p88 @p339 @p157 @p85) :args ((or @t107 @t76 @t74 @t72 @t102 @t83 @t67))) % 0.38/0.60 (assume-push @p621 @t33) % 0.38/0.60 (assume-push @p622 @t73) % 0.38/0.60 (assume-push @p623 @t50) % 0.38/0.60 (assume-push @p624 @t71) % 0.38/0.60 (assume-push @p625 @t81) % 0.38/0.60 (assume-push @p626 @t65) % 0.38/0.60 (assume-push @p627 @t46) % 0.38/0.60 (step @p55 :rule evaluate :args (@t60)) % 0.38/0.60 (step @p426 :rule true_intro :premises (@p23)) % 0.38/0.60 (step @p427 :rule symm :premises (@p626)) % 0.38/0.60 (step @p428 :rule cong :premises (@p427) :args (@t42)) % 0.38/0.60 (step @p429 :rule trans :premises (@p428 @p27)) % 0.38/0.60 (step @p430 :rule symm :premises (@p625)) % 0.38/0.60 (step @p431 :rule cong :premises (@p430) :args (@t43)) % 0.38/0.60 (step @p432 :rule trans :premises (@p431 @p27)) % 0.38/0.60 (step @p433 :rule symm :premises (@p623)) % 0.38/0.60 (step @p434 :rule cong :premises (@p433) :args (@t44)) % 0.38/0.60 (step @p435 :rule trans :premises (@p434 @p26)) % 0.38/0.60 (step @p108 :rule refl :args (tptp.g2)) % 0.38/0.60 (step @p436 :rule cong :premises (@p108 @p435 @p432 @p429) :args (@t45)) % 0.38/0.60 (step @p101 :rule false_intro :premises (@p32)) % 0.38/0.60 (step @p359 :rule symm :premises (@p101)) % 0.38/0.60 (step @p437 :rule trans :premises (@p359 @p436 @p426)) % 0.38/0.60 (step @p438 false :rule eq_resolve :premises (@p437 @p55)) % 0.38/0.60 (step-pop @p628 :rule scope :premises (@p438)) % 0.38/0.60 (step-pop @p629 :rule scope :premises (@p628)) % 0.38/0.60 (step-pop @p630 :rule scope :premises (@p629)) % 0.38/0.60 (step-pop @p631 :rule scope :premises (@p630)) % 0.38/0.60 (step-pop @p632 :rule scope :premises (@p631)) % 0.38/0.60 (step-pop @p633 :rule scope :premises (@p632)) % 0.38/0.60 (step-pop @p634 :rule scope :premises (@p633)) % 0.38/0.60 (step @p439 :rule process_scope :premises (@p634) :args (false)) % 0.38/0.60 (assume-push @p635 @t33) % 0.38/0.60 (assume-push @p636 @t46) % 0.38/0.60 (assume-push @p637 @t73) % 0.38/0.60 (assume-push @p638 @t71) % 0.38/0.60 (assume-push @p639 @t50) % 0.38/0.60 (assume-push @p640 @t81) % 0.38/0.60 (assume-push @p641 @t65) % 0.38/0.60 (step @p454 :rule and_intro :premises (@p23 @p33 @p639 @p34 @p640 @p641 @p32)) % 0.38/0.60 (step-pop @p642 :rule scope :premises (@p454)) % 0.38/0.60 (step-pop @p643 :rule scope :premises (@p642)) % 0.38/0.60 (step-pop @p644 :rule scope :premises (@p643)) % 0.38/0.60 (step-pop @p645 :rule scope :premises (@p644)) % 0.38/0.60 (step-pop @p646 :rule scope :premises (@p645)) % 0.38/0.60 (step-pop @p647 :rule scope :premises (@p646)) % 0.38/0.60 (step-pop @p648 :rule scope :premises (@p647)) % 0.38/0.60 (step @p455 :rule process_scope :premises (@p648) :args (@t108)) % 0.38/0.60 (step @p463 :rule implies_elim :premises (@p455)) % 0.38/0.60 (step @p464 :rule resolution :premises (@p463 @p439) :args (true @t108)) % 0.38/0.60 (step @p465 :rule not_and :premises (@p464)) % 0.38/0.60 (step @p466 :rule eq_resolve :premises (@p465 @p418)) % 0.38/0.60 (step @p467 :rule reordering :premises (@p466) :args ((or @t45 @t107 @t74 @t72 @t102 @t83 @t67))) % 0.38/0.60 (step @p468 false :rule chain_m_resolution :premises (@p467 @p416 @p389 @p300 @p32 @p34 @p33 @p23) :args (false (@list false false false true false false false) (@list @t65 @t81 @t50 @t45 @t71 @t73 @t33))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------