%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT056-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:53 AM UTC 2026 % Result : Unsatisfiable 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT056-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n001.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Mon Sep 7 13:34:22 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.10/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.49 % SZS status Unsatisfiable % 0.19/0.49 % SZS output start Proof % 0.19/0.49 ( % 0.19/0.49 (declare-sort $$unsorted 0) % 0.19/0.49 (declare-const tptp.sigma $$unsorted) % 0.19/0.49 (declare-const tptp.sk5 $$unsorted) % 0.19/0.49 (declare-const tptp.sk3 $$unsorted) % 0.19/0.49 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.19/0.49 (declare-const tptp.eta $$unsorted) % 0.19/0.49 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.49 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.49 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.49 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.49 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.19/0.49 (declare-const tptp.sk4 $$unsorted) % 0.19/0.49 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.19/0.49 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.49 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.19/0.49 (declare-const tptp.sk1 (-> $$unsorted $$unsorted)) % 0.19/0.49 (declare-const tptp.sk2 $$unsorted) % 0.19/0.49 (declare-const tptp.zero $$unsorted) % 0.19/0.49 (define @t1 () (@var "B" $$unsorted)) % 0.19/0.49 (define @t2 () (@var "A" $$unsorted)) % 0.19/0.49 (define @t3 () (= @t2 @t1)) % 0.19/0.49 (define @t4 () (tptp.smaller @t2 @t1)) % 0.19/0.49 (define @t5 () (tptp.smaller_or_equal @t2 @t1)) % 0.19/0.49 (define @t6 () (@list @t2 @t1)) % 0.19/0.49 (define @t7 () (not @t4)) % 0.19/0.49 (define @t8 () (not @t3)) % 0.19/0.49 (define @t9 () (tptp.greater @t2 @t1)) % 0.19/0.49 (define @t10 () (tptp.greater_or_equal @t2 @t1)) % 0.19/0.49 (define @t11 () (not @t9)) % 0.19/0.49 (define @t12 () (tptp.greater @t1 @t2)) % 0.19/0.49 (define @t13 () (@var "C" $$unsorted)) % 0.19/0.49 (define @t14 () (@list @t2 @t1 @t13)) % 0.19/0.49 (define @t15 () (forall @t6 (or @t4 @t3 @t9))) % 0.19/0.49 (define @t16 () (tptp.organization @t2)) % 0.19/0.49 (define @t17 () (tptp.has_endowment @t2)) % 0.19/0.49 (define @t18 () (not @t17)) % 0.19/0.49 (define @t19 () (@list @t2)) % 0.19/0.49 (define @t20 () (tptp.has_immunity @t2 @t1)) % 0.19/0.49 (define @t21 () (tptp.age @t2 @t1)) % 0.19/0.49 (define @t22 () (not @t20)) % 0.19/0.49 (define @t23 () (tptp.sk1 @t2)) % 0.19/0.49 (define @t24 () (tptp.age @t2 @t23)) % 0.19/0.49 (define @t25 () (tptp.greater @t24 tptp.eta)) % 0.19/0.49 (define @t26 () (tptp.smaller_or_equal @t24 tptp.eta)) % 0.19/0.49 (define @t27 () (not @t16)) % 0.19/0.49 (define @t28 () (tptp.has_immunity @t2 @t23)) % 0.19/0.49 (define @t29 () (not @t28)) % 0.19/0.49 (define @t30 () (tptp.hazard_of_mortality @t2 @t13)) % 0.19/0.49 (define @t31 () (tptp.hazard_of_mortality @t2 @t1)) % 0.19/0.49 (define @t32 () (tptp.has_immunity @t2 @t13)) % 0.19/0.49 (define @t33 () (tptp.organization tptp.sk2)) % 0.19/0.49 (define @t34 () (tptp.has_endowment tptp.sk2)) % 0.19/0.49 (define @t35 () (tptp.age tptp.sk2 tptp.sk3)) % 0.19/0.49 (define @t36 () (tptp.smaller_or_equal (tptp.age tptp.sk2 tptp.sk4) tptp.eta)) % 0.19/0.49 (define @t37 () (tptp.greater (tptp.age tptp.sk2 tptp.sk5) tptp.eta)) % 0.19/0.49 (define @t38 () (tptp.greater_or_equal tptp.eta tptp.sigma)) % 0.19/0.49 (define @t39 () (tptp.greater tptp.sigma tptp.zero)) % 0.19/0.49 (define @t40 () (tptp.hazard_of_mortality tptp.sk2 tptp.sk4)) % 0.19/0.49 (define @t41 () (= @t40 (tptp.hazard_of_mortality tptp.sk2 tptp.sk3))) % 0.19/0.49 (define @t42 () (not @t41)) % 0.19/0.49 (define @t43 () (tptp.greater (tptp.hazard_of_mortality tptp.sk2 tptp.sk5) @t40)) % 0.19/0.49 (define @t44 () (@list tptp.zero tptp.sigma)) % 0.19/0.49 (define @t45 () (@list tptp.sigma tptp.zero)) % 0.19/0.49 (define @t46 () (tptp.smaller tptp.zero tptp.sigma)) % 0.19/0.49 (define @t47 () (not @t39)) % 0.19/0.49 (define @t48 () (or @t47 @t46)) % 0.19/0.49 (define @t49 () (@list false false)) % 0.19/0.49 (define @t50 () (tptp.smaller_or_equal tptp.zero tptp.sigma)) % 0.19/0.49 (define @t51 () (not @t46)) % 0.19/0.49 (define @t52 () (or @t51 @t50)) % 0.19/0.49 (define @t53 () (tptp.has_immunity tptp.sk2 tptp.sk4)) % 0.19/0.49 (define @t54 () (not @t36)) % 0.19/0.49 (define @t55 () (not @t34)) % 0.19/0.49 (define @t56 () (or @t55 @t54 @t53)) % 0.19/0.49 (define @t57 () (@list false false false)) % 0.19/0.49 (define @t58 () (tptp.has_immunity tptp.sk2 tptp.sk5)) % 0.19/0.49 (define @t59 () (not @t58)) % 0.19/0.49 (define @t60 () (not @t37)) % 0.19/0.49 (define @t61 () (or @t55 @t60 @t59)) % 0.19/0.49 (define @t62 () (not @t53)) % 0.19/0.49 (define @t63 () (not @t33)) % 0.19/0.49 (define @t64 () (or @t63 @t62 @t58 @t43)) % 0.19/0.49 (define @t65 () (@list false true false false)) % 0.19/0.49 (define @t66 () (@list false)) % 0.19/0.49 (define @t67 () (tptp.has_immunity tptp.sk2 tptp.sk3)) % 0.19/0.49 (define @t68 () (not @t67)) % 0.19/0.49 (define @t69 () (or @t63 @t62 @t68 @t41)) % 0.19/0.49 (define @t70 () (tptp.smaller_or_equal @t35 tptp.eta)) % 0.19/0.49 (define @t71 () (not @t70)) % 0.19/0.49 (define @t72 () (or @t55 @t71 @t67)) % 0.19/0.49 (define @t73 () (@list false true false)) % 0.19/0.49 (define @t74 () (tptp.greater @t35 tptp.eta)) % 0.19/0.49 (define @t75 () (tptp.smaller @t35 tptp.eta)) % 0.19/0.49 (define @t76 () (or @t75 (= @t35 tptp.eta) @t74)) % 0.19/0.49 (define @t77 () (@list @t35 tptp.eta)) % 0.19/0.49 (define @t78 () (= tptp.eta @t35)) % 0.19/0.49 (define @t79 () (or @t75 @t78 @t74)) % 0.19/0.49 (define @t80 () (tptp.greater tptp.zero tptp.sigma)) % 0.19/0.49 (define @t81 () (not @t80)) % 0.19/0.49 (define @t82 () (or @t47 @t81)) % 0.19/0.49 (define @t83 () (tptp.smaller tptp.sigma tptp.zero)) % 0.19/0.49 (define @t84 () (not @t83)) % 0.19/0.49 (define @t85 () (or @t84 @t80)) % 0.19/0.49 (define @t86 () (@list true false)) % 0.19/0.49 (define @t87 () (= tptp.zero tptp.sigma)) % 0.19/0.49 (define @t88 () (not @t87)) % 0.19/0.49 (define @t89 () (= true false)) % 0.19/0.49 (define @t90 () (and @t84 @t87 @t46)) % 0.19/0.49 (define @t91 () (tptp.greater_or_equal tptp.zero tptp.sigma)) % 0.19/0.49 (define @t92 () (not @t91)) % 0.19/0.49 (define @t93 () (or @t92 @t80 @t87)) % 0.19/0.49 (define @t94 () (@list true true false)) % 0.19/0.49 (define @t95 () (= tptp.zero @t35)) % 0.19/0.49 (define @t96 () (and @t38 @t95 @t78)) % 0.19/0.49 (define @t97 () (not @t78)) % 0.19/0.49 (define @t98 () (not @t38)) % 0.19/0.49 (define @t99 () (not @t95)) % 0.19/0.49 (define @t100 () (not @t75)) % 0.19/0.49 (define @t101 () (or @t100 @t70)) % 0.19/0.49 (define @t102 () (tptp.greater tptp.zero tptp.eta)) % 0.19/0.49 (define @t103 () (and @t95 @t74)) % 0.19/0.49 (define @t104 () (tptp.greater tptp.eta tptp.sigma)) % 0.19/0.50 (define @t105 () (not @t104)) % 0.19/0.50 (define @t106 () (not @t102)) % 0.19/0.50 (define @t107 () (or @t106 @t105 @t80)) % 0.19/0.50 (define @t108 () (= tptp.eta tptp.sigma)) % 0.19/0.50 (define @t109 () (or @t98 @t104 @t108)) % 0.19/0.50 (define @t110 () (not @t50)) % 0.19/0.50 (define @t111 () (not @t108)) % 0.19/0.50 (define @t112 () (and @t71 @t95 @t108 @t50)) % 0.19/0.50 (assume @p1 (forall @t6 (or (not @t5) @t4 @t3))) % 0.19/0.50 (assume @p2 (forall @t6 (or @t7 @t5))) % 0.19/0.50 (assume @p3 (forall @t6 (or @t8 @t5))) % 0.19/0.50 (assume @p4 (forall @t6 (or (not @t10) @t9 @t3))) % 0.19/0.50 (assume @p5 (forall @t6 (or @t11 @t10))) % 0.19/0.50 (assume @p6 (forall @t6 (or @t8 @t10))) % 0.19/0.50 (assume @p7 (forall @t6 (or @t7 @t12))) % 0.19/0.50 (assume @p8 (forall @t6 (or @t11 (tptp.smaller @t1 @t2)))) % 0.19/0.50 (assume @p9 (forall @t6 (or @t11 (not @t12)))) % 0.19/0.50 (assume @p10 (forall @t14 (or @t11 (not (tptp.greater @t1 @t13)) (tptp.greater @t2 @t13)))) % 0.19/0.50 (assume @p11 @t15) % 0.19/0.50 (assume @p12 (forall @t19 (or @t18 @t16))) % 0.19/0.50 (assume @p13 (forall @t6 (or @t18 (not (tptp.smaller_or_equal @t21 tptp.eta)) @t20))) % 0.19/0.50 (assume @p14 (forall @t6 (or @t18 (not (tptp.greater @t21 tptp.eta)) @t22))) % 0.19/0.50 (assume @p15 (forall @t19 (or @t27 @t26 @t25 @t17))) % 0.19/0.50 (assume @p16 (forall @t19 (or @t27 @t26 @t28 @t17))) % 0.19/0.50 (assume @p17 (forall @t19 (or @t27 @t29 @t25 @t17))) % 0.19/0.50 (assume @p18 (forall @t19 (or @t27 @t29 @t28 @t17))) % 0.19/0.50 (assume @p19 (forall @t14 (or @t27 @t22 (not @t32) (= @t31 @t30)))) % 0.19/0.50 (assume @p20 (forall @t14 (or @t27 @t22 @t32 (tptp.greater @t30 @t31)))) % 0.19/0.50 (assume @p21 @t33) % 0.19/0.50 (assume @p22 @t34) % 0.19/0.50 (assume @p23 (= @t35 tptp.zero)) % 0.19/0.50 (assume @p24 @t36) % 0.19/0.50 (assume @p25 @t37) % 0.19/0.50 (assume @p26 @t38) % 0.19/0.50 (assume @p27 @t39) % 0.19/0.50 (assume @p28 (or (not @t43) @t42)) % 0.19/0.50 (step @p29 :rule symm :premises (@p23)) % 0.19/0.50 (step @p30 :rule instantiate :premises (@p2) :args (@t44)) % 0.19/0.50 (step @p31 :rule instantiate :premises (@p8) :args (@t45)) % 0.19/0.50 (step @p32 :rule cnf_or_pos :args (@t48)) % 0.19/0.50 (step @p33 :rule reordering :premises (@p32) :args ((or @t47 @t46 (not @t48)))) % 0.19/0.50 (step @p34 :rule chain_m_resolution :premises (@p33 @p27 @p31) :args (@t46 @t49 (@list @t39 @t48))) % 0.19/0.50 (step @p35 :rule cnf_or_pos :args (@t52)) % 0.19/0.50 (step @p36 :rule reordering :premises (@p35) :args ((or @t51 @t50 (not @t52)))) % 0.19/0.50 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30) :args (@t50 @t49 (@list @t46 @t52))) % 0.19/0.50 (step @p38 :rule instantiate :premises (@p13) :args ((@list tptp.sk2 tptp.sk3))) % 0.19/0.50 (step @p39 :rule instantiate :premises (@p19) :args ((@list tptp.sk2 tptp.sk4 tptp.sk3))) % 0.19/0.50 (step @p40 :rule instantiate :premises (@p13) :args ((@list tptp.sk2 tptp.sk4))) % 0.19/0.50 (step @p41 :rule cnf_or_pos :args (@t56)) % 0.19/0.50 (step @p42 :rule reordering :premises (@p41) :args ((or @t55 @t54 @t53 (not @t56)))) % 0.19/0.50 (step @p43 :rule chain_m_resolution :premises (@p42 @p22 @p24 @p40) :args (@t53 @t57 (@list @t34 @t36 @t56))) % 0.19/0.50 (step @p44 :rule instantiate :premises (@p20) :args ((@list tptp.sk2 tptp.sk4 tptp.sk5))) % 0.19/0.50 (step @p45 :rule instantiate :premises (@p14) :args ((@list tptp.sk2 tptp.sk5))) % 0.19/0.50 (step @p46 :rule cnf_or_pos :args (@t61)) % 0.19/0.50 (step @p47 :rule reordering :premises (@p46) :args ((or @t55 @t60 @t59 (not @t61)))) % 0.19/0.50 (step @p48 :rule chain_m_resolution :premises (@p47 @p22 @p25 @p45) :args (@t59 @t57 (@list @t34 @t37 @t61))) % 0.19/0.50 (step @p49 :rule cnf_or_pos :args (@t64)) % 0.19/0.50 (step @p50 :rule reordering :premises (@p49) :args ((or @t43 @t63 @t58 @t62 (not @t64)))) % 0.19/0.50 (step @p51 :rule chain_m_resolution :premises (@p50 @p21 @p48 @p43 @p44) :args (@t43 @t65 (@list @t33 @t58 @t53 @t64))) % 0.19/0.50 (step @p52 :rule chain_m_resolution :premises (@p28 @p51) :args (@t42 @t66 (@list @t43))) % 0.19/0.50 (step @p53 :rule cnf_or_pos :args (@t69)) % 0.19/0.50 (step @p54 :rule reordering :premises (@p53) :args ((or @t41 @t63 @t68 @t62 (not @t69)))) % 0.19/0.50 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p21 @p43 @p39) :args (@t68 (@list true false false false) (@list @t41 @t33 @t53 @t69))) % 0.19/0.50 (step @p56 :rule cnf_or_pos :args (@t72)) % 0.19/0.50 (step @p57 :rule reordering :premises (@p56) :args ((or @t55 @t71 @t67 (not @t72)))) % 0.19/0.50 (step @p58 :rule chain_m_resolution :premises (@p57 @p22 @p55 @p38) :args (@t71 @t73 (@list @t34 @t67 @t72))) % 0.19/0.50 (step @p59 :rule instantiate :premises (@p4) :args ((@list tptp.eta tptp.sigma))) % 0.19/0.50 (step @p60 :rule instantiate :premises (@p10) :args ((@list tptp.zero tptp.eta tptp.sigma))) % 0.19/0.50 (step @p61 :rule refl :args (@t74)) % 0.19/0.50 (step @p62 :rule eq-symm :args (@t35 tptp.eta)) % 0.19/0.50 (step @p63 :rule refl :args (@t75)) % 0.19/0.50 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61) :args (@t76)) % 0.19/0.50 (step @p65 :rule refl :args (@t15)) % 0.19/0.50 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t15 @t76))) % 0.19/0.50 (assume-push @p218 @t15) % 0.19/0.50 (step @p68 :rule instantiate :premises (@p11) :args (@t77)) % 0.19/0.50 (step-pop @p219 :rule scope :premises (@p68)) % 0.19/0.50 (step @p69 :rule process_scope :premises (@p219) :args (@t76)) % 0.19/0.50 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.19/0.50 (step @p72 :rule implies_elim :premises (@p71)) % 0.19/0.50 (step @p73 :rule chain_m_resolution :premises (@p72 @p11) :args (@t79 @t66 (@list @t15))) % 0.19/0.50 (step @p74 :rule instantiate :premises (@p4) :args (@t44)) % 0.19/0.50 (step @p75 :rule instantiate :premises (@p7) :args (@t45)) % 0.19/0.50 (step @p76 :rule instantiate :premises (@p9) :args (@t45)) % 0.19/0.50 (step @p77 :rule cnf_or_pos :args (@t82)) % 0.19/0.50 (step @p78 :rule reordering :premises (@p77) :args ((or @t47 @t81 (not @t82)))) % 0.19/0.50 (step @p79 :rule chain_m_resolution :premises (@p78 @p27 @p76) :args (@t81 @t49 (@list @t39 @t82))) % 0.19/0.50 (step @p80 :rule cnf_or_pos :args (@t85)) % 0.19/0.50 (step @p81 :rule reordering :premises (@p80) :args ((or @t80 @t84 (not @t85)))) % 0.19/0.50 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p75) :args (@t84 @t86 (@list @t80 @t85))) % 0.19/0.50 (step @p83 :rule bool-double-not-elim :args (@t83)) % 0.19/0.50 (step @p84 :rule refl :args (@t88)) % 0.19/0.50 (step @p85 :rule refl :args (@t51)) % 0.19/0.50 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args ((or @t51 @t88 (not @t84)))) % 0.19/0.50 (assume-push @p220 @t84) % 0.19/0.50 (assume-push @p221 @t87) % 0.19/0.50 (assume-push @p222 @t46) % 0.19/0.50 (step @p90 :rule evaluate :args (@t89)) % 0.19/0.50 (step @p91 :rule false_intro :premises (@p82)) % 0.19/0.50 (step @p92 :rule symm :premises (@p221)) % 0.19/0.50 (step @p93 :rule cong :premises (@p221 @p92) :args (@t46)) % 0.19/0.50 (step @p94 :rule true_intro :premises (@p34)) % 0.19/0.50 (step @p95 :rule symm :premises (@p94)) % 0.19/0.50 (step @p96 :rule trans :premises (@p95 @p93 @p91)) % 0.19/0.50 (step @p97 false :rule eq_resolve :premises (@p96 @p90)) % 0.19/0.50 (step-pop @p223 :rule scope :premises (@p97)) % 0.19/0.50 (step-pop @p224 :rule scope :premises (@p223)) % 0.19/0.50 (step-pop @p225 :rule scope :premises (@p224)) % 0.19/0.50 (step @p98 :rule process_scope :premises (@p225) :args (false)) % 0.19/0.50 (assume-push @p226 @t46) % 0.19/0.50 (assume-push @p227 @t87) % 0.19/0.50 (assume-push @p228 @t84) % 0.19/0.50 (step @p105 :rule and_intro :premises (@p82 @p227 @p34)) % 0.19/0.50 (step-pop @p229 :rule scope :premises (@p105)) % 0.19/0.50 (step-pop @p230 :rule scope :premises (@p229)) % 0.19/0.50 (step-pop @p231 :rule scope :premises (@p230)) % 0.19/0.50 (step @p106 :rule process_scope :premises (@p231) :args (@t90)) % 0.19/0.50 (step @p110 :rule implies_elim :premises (@p106)) % 0.19/0.50 (step @p111 :rule resolution :premises (@p110 @p98) :args (true @t90)) % 0.19/0.50 (step @p112 :rule not_and :premises (@p111)) % 0.19/0.50 (step @p113 :rule eq_resolve :premises (@p112 @p86)) % 0.19/0.50 (step @p114 :rule reordering :premises (@p113) :args ((or @t51 @t83 @t88))) % 0.19/0.50 (step @p115 :rule chain_m_resolution :premises (@p114 @p34 @p82) :args (@t88 (@list false true) (@list @t46 @t83))) % 0.19/0.50 (step @p116 :rule cnf_or_pos :args (@t93)) % 0.19/0.50 (step @p117 :rule reordering :premises (@p116) :args ((or @t80 @t92 @t87 (not @t93)))) % 0.19/0.50 (step @p118 :rule chain_m_resolution :premises (@p117 @p79 @p115 @p74) :args (@t92 @t94 (@list @t80 @t87 @t93))) % 0.19/0.50 (assume-push @p232 @t38) % 0.19/0.50 (assume-push @p233 @t95) % 0.19/0.50 (assume-push @p234 @t78) % 0.19/0.50 (assume-push @p235 @t38) % 0.19/0.50 (assume-push @p236 @t78) % 0.19/0.50 (assume-push @p237 @t95) % 0.19/0.50 (step @p125 :rule true_intro :premises (@p26)) % 0.19/0.50 (step @p126 :rule refl :args (tptp.sigma)) % 0.19/0.50 (step @p127 :rule symm :premises (@p234)) % 0.19/0.50 (step @p128 :rule trans :premises (@p29 @p127)) % 0.19/0.50 (step @p129 :rule cong :premises (@p128 @p126) :args (@t91)) % 0.19/0.50 (step @p130 :rule trans :premises (@p129 @p125)) % 0.19/0.50 (step @p131 :rule true_elim :premises (@p130)) % 0.19/0.50 (step-pop @p238 :rule scope :premises (@p131)) % 0.19/0.50 (step-pop @p239 :rule scope :premises (@p238)) % 0.19/0.50 (step-pop @p240 :rule scope :premises (@p239)) % 0.19/0.50 (step @p132 :rule process_scope :premises (@p240) :args (@t91)) % 0.19/0.50 (step @p136 :rule and_intro :premises (@p26 @p234 @p29)) % 0.19/0.50 (step @p137 :rule modus_ponens :premises (@p136 @p132)) % 0.19/0.50 (step-pop @p241 :rule scope :premises (@p137)) % 0.19/0.50 (step-pop @p242 :rule scope :premises (@p241)) % 0.19/0.50 (step-pop @p243 :rule scope :premises (@p242)) % 0.19/0.50 (step @p138 :rule process_scope :premises (@p243) :args (@t91)) % 0.19/0.50 (step @p142 :rule implies_elim :premises (@p138)) % 0.19/0.50 (step @p143 :rule cnf_and_neg :args (@t96)) % 0.19/0.50 (step @p144 :rule resolution :premises (@p143 @p142) :args (true @t96)) % 0.19/0.50 (step @p145 :rule reordering :premises (@p144) :args ((or @t99 @t98 @t91 @t97))) % 0.19/0.50 (step @p146 :rule chain_m_resolution :premises (@p145 @p29 @p26 @p118) :args (@t97 (@list false false true) (@list @t95 @t38 @t91))) % 0.19/0.50 (step @p147 :rule instantiate :premises (@p2) :args (@t77)) % 0.19/0.50 (step @p148 :rule cnf_or_pos :args (@t101)) % 0.19/0.50 (step @p149 :rule reordering :premises (@p148) :args ((or @t70 @t100 (not @t101)))) % 0.19/0.50 (step @p150 :rule chain_m_resolution :premises (@p149 @p58 @p147) :args (@t100 @t86 (@list @t70 @t101))) % 0.19/0.50 (step @p151 :rule cnf_or_pos :args (@t79)) % 0.19/0.50 (step @p152 :rule reordering :premises (@p151) :args ((or @t74 @t75 @t78 (not @t79)))) % 0.19/0.50 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p146 @p73) :args (@t74 @t94 (@list @t75 @t78 @t79))) % 0.19/0.50 (assume-push @p244 @t95) % 0.19/0.50 (assume-push @p245 @t74) % 0.19/0.50 (assume-push @p246 @t74) % 0.19/0.50 (assume-push @p247 @t95) % 0.19/0.50 (step @p158 :rule true_intro :premises (@p245)) % 0.19/0.50 (step @p159 :rule refl :args (tptp.eta)) % 0.19/0.50 (step @p160 :rule cong :premises (@p29 @p159) :args (@t102)) % 0.19/0.50 (step @p161 :rule trans :premises (@p160 @p158)) % 0.19/0.50 (step @p162 :rule true_elim :premises (@p161)) % 0.19/0.50 (step-pop @p248 :rule scope :premises (@p162)) % 0.19/0.50 (step-pop @p249 :rule scope :premises (@p248)) % 0.19/0.50 (step @p163 :rule process_scope :premises (@p249) :args (@t102)) % 0.19/0.50 (step @p166 :rule and_intro :premises (@p245 @p29)) % 0.19/0.50 (step @p167 :rule modus_ponens :premises (@p166 @p163)) % 0.19/0.50 (step-pop @p250 :rule scope :premises (@p167)) % 0.19/0.50 (step-pop @p251 :rule scope :premises (@p250)) % 0.19/0.50 (step @p168 :rule process_scope :premises (@p251) :args (@t102)) % 0.19/0.50 (step @p171 :rule implies_elim :premises (@p168)) % 0.19/0.50 (step @p172 :rule cnf_and_neg :args (@t103)) % 0.19/0.50 (step @p173 :rule resolution :premises (@p172 @p171) :args (true @t103)) % 0.19/0.50 (step @p174 :rule chain_m_resolution :premises (@p173 @p29 @p153) :args (@t102 @t49 (@list @t95 @t74))) % 0.19/0.50 (step @p175 :rule cnf_or_pos :args (@t107)) % 0.19/0.50 (step @p176 :rule reordering :premises (@p175) :args ((or @t80 @t105 @t106 (not @t107)))) % 0.19/0.50 (step @p177 :rule chain_m_resolution :premises (@p176 @p79 @p174 @p60) :args (@t105 (@list true false false) (@list @t80 @t102 @t107))) % 0.19/0.50 (step @p178 :rule cnf_or_pos :args (@t109)) % 0.19/0.50 (step @p179 :rule reordering :premises (@p178) :args ((or @t98 @t104 @t108 (not @t109)))) % 0.19/0.50 (step @p180 :rule chain_m_resolution :premises (@p179 @p26 @p177 @p59) :args (@t108 @t73 (@list @t38 @t104 @t109))) % 0.19/0.50 (step @p181 :rule refl :args (@t110)) % 0.19/0.50 (step @p182 :rule bool-double-not-elim :args (@t70)) % 0.19/0.50 (step @p183 :rule refl :args (@t111)) % 0.19/0.50 (step @p184 :rule refl :args (@t99)) % 0.19/0.50 (step @p185 :rule nary_cong :premises (@p184 @p183 @p182 @p181) :args ((or @t99 @t111 (not @t71) @t110))) % 0.19/0.50 (assume-push @p252 @t71) % 0.19/0.50 (assume-push @p253 @t95) % 0.19/0.50 (assume-push @p254 @t108) % 0.19/0.50 (assume-push @p255 @t50) % 0.19/0.50 (step @p90 :rule evaluate :args (@t89)) % 0.19/0.50 (step @p190 :rule false_intro :premises (@p58)) % 0.19/0.50 (step @p191 :rule symm :premises (@p254)) % 0.19/0.50 (step @p192 :rule cong :premises (@p29 @p191) :args (@t50)) % 0.19/0.50 (step @p193 :rule true_intro :premises (@p37)) % 0.19/0.50 (step @p194 :rule symm :premises (@p193)) % 0.19/0.50 (step @p195 :rule trans :premises (@p194 @p192 @p190)) % 0.19/0.50 (step @p196 false :rule eq_resolve :premises (@p195 @p90)) % 0.19/0.50 (step-pop @p256 :rule scope :premises (@p196)) % 0.19/0.50 (step-pop @p257 :rule scope :premises (@p256)) % 0.19/0.50 (step-pop @p258 :rule scope :premises (@p257)) % 0.19/0.50 (step-pop @p259 :rule scope :premises (@p258)) % 0.19/0.50 (step @p197 :rule process_scope :premises (@p259) :args (false)) % 0.19/0.50 (assume-push @p260 @t95) % 0.19/0.50 (assume-push @p261 @t108) % 0.19/0.50 (assume-push @p262 @t71) % 0.19/0.50 (assume-push @p263 @t50) % 0.19/0.50 (step @p206 :rule and_intro :premises (@p58 @p29 @p261 @p37)) % 0.19/0.50 (step-pop @p264 :rule scope :premises (@p206)) % 0.19/0.50 (step-pop @p265 :rule scope :premises (@p264)) % 0.19/0.50 (step-pop @p266 :rule scope :premises (@p265)) % 0.19/0.50 (step-pop @p267 :rule scope :premises (@p266)) % 0.19/0.50 (step @p207 :rule process_scope :premises (@p267) :args (@t112)) % 0.19/0.50 (step @p212 :rule implies_elim :premises (@p207)) % 0.19/0.50 (step @p213 :rule resolution :premises (@p212 @p197) :args (true @t112)) % 0.19/0.50 (step @p214 :rule not_and :premises (@p213)) % 0.19/0.50 (step @p215 :rule eq_resolve :premises (@p214 @p185)) % 0.19/0.50 (step @p216 :rule reordering :premises (@p215) :args ((or @t99 @t70 @t111 @t110))) % 0.19/0.50 (step @p217 false :rule chain_m_resolution :premises (@p216 @p180 @p58 @p37 @p29) :args (false @t65 (@list @t108 @t70 @t50 @t95))) % 0.19/0.50 ) % 0.19/0.50 % SZS output end Proof % 0.19/0.50 % cvc5 exiting %------------------------------------------------------------------------------