%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET831-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:48:45 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET831-2 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:14:02 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Unsatisfiable % 0.45/0.63 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort $$unsorted 0) % 0.45/0.64 (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.v_x $$unsorted) % 0.45/0.64 (declare-const tptp.c_inter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_Z $$unsorted) % 0.45/0.64 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.v_X $$unsorted) % 0.45/0.64 (declare-const tptp.v_Y $$unsorted) % 0.45/0.64 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.t_a $$unsorted) % 0.45/0.64 (define @t1 () (tptp.tc_set tptp.t_a)) % 0.45/0.64 (define @t2 () (tptp.c_lessequals tptp.v_X tptp.v_Y @t1)) % 0.45/0.64 (define @t3 () (tptp.c_inter tptp.v_Y tptp.v_Z tptp.t_a)) % 0.45/0.64 (define @t4 () (= tptp.v_X @t3)) % 0.45/0.64 (define @t5 () (tptp.c_lessequals tptp.v_X tptp.v_Z @t1)) % 0.45/0.64 (define @t6 () (not @t4)) % 0.45/0.64 (define @t7 () (not @t2)) % 0.45/0.64 (define @t8 () (not @t5)) % 0.45/0.64 (define @t9 () (tptp.c_lessequals tptp.v_x tptp.v_Y @t1)) % 0.45/0.64 (define @t10 () (tptp.c_lessequals tptp.v_x tptp.v_Z @t1)) % 0.45/0.64 (define @t11 () (tptp.c_lessequals tptp.v_x tptp.v_X @t1)) % 0.45/0.64 (define @t12 () (not @t11)) % 0.45/0.64 (define @t13 () (@var "V_U" $$unsorted)) % 0.45/0.64 (define @t14 () (not (tptp.c_lessequals @t13 tptp.v_Y @t1))) % 0.45/0.64 (define @t15 () (not (tptp.c_lessequals @t13 tptp.v_Z @t1))) % 0.45/0.64 (define @t16 () (tptp.c_lessequals @t13 tptp.v_X @t1)) % 0.45/0.64 (define @t17 () (or @t4 @t16 @t15 @t14)) % 0.45/0.64 (define @t18 () (@list @t13)) % 0.45/0.64 (define @t19 () (forall @t18 @t17)) % 0.45/0.64 (define @t20 () (@var "T_a" $$unsorted)) % 0.45/0.64 (define @t21 () (@var "V_B" $$unsorted)) % 0.45/0.64 (define @t22 () (@var "V_c" $$unsorted)) % 0.45/0.64 (define @t23 () (tptp.c_in @t22 @t21 @t20)) % 0.45/0.64 (define @t24 () (@var "V_A" $$unsorted)) % 0.45/0.64 (define @t25 () (tptp.c_in @t22 (tptp.c_inter @t24 @t21 @t20) @t20)) % 0.45/0.64 (define @t26 () (not @t25)) % 0.45/0.64 (define @t27 () (@list @t22 @t24 @t21 @t20)) % 0.45/0.64 (define @t28 () (tptp.c_in @t22 @t24 @t20)) % 0.45/0.64 (define @t29 () (not @t28)) % 0.45/0.64 (define @t30 () (tptp.tc_set @t20)) % 0.45/0.64 (define @t31 () (tptp.c_lessequals @t24 @t21 @t30)) % 0.45/0.64 (define @t32 () (not @t31)) % 0.45/0.64 (define @t33 () (tptp.c_Main_OsubsetI__1 @t24 @t21 @t20)) % 0.45/0.64 (define @t34 () (@list @t24 @t21 @t20)) % 0.45/0.64 (define @t35 () (tptp.c_Main_OsubsetI__1 tptp.v_X @t3 tptp.t_a)) % 0.45/0.64 (define @t36 () (@list tptp.v_X @t3 tptp.t_a)) % 0.45/0.64 (define @t37 () (@list @t3 tptp.v_Z tptp.t_a)) % 0.45/0.64 (define @t38 () (tptp.c_lessequals @t3 tptp.v_Z @t1)) % 0.45/0.64 (define @t39 () (tptp.c_Main_OsubsetI__1 @t3 tptp.v_Z tptp.t_a)) % 0.45/0.64 (define @t40 () (tptp.c_in @t39 @t3 tptp.t_a)) % 0.45/0.64 (define @t41 () (or @t40 @t38)) % 0.45/0.64 (define @t42 () (tptp.c_in @t39 tptp.v_Z tptp.t_a)) % 0.45/0.64 (define @t43 () (not @t42)) % 0.45/0.64 (define @t44 () (or @t43 @t38)) % 0.45/0.64 (define @t45 () (not @t40)) % 0.45/0.64 (define @t46 () (or @t45 @t42)) % 0.45/0.64 (define @t47 () (@list false true false false false)) % 0.45/0.64 (define @t48 () (not @t38)) % 0.45/0.64 (define @t49 () (and @t38 @t4 @t8)) % 0.45/0.64 (define @t50 () (@list false)) % 0.45/0.64 (define @t51 () (@list @t4)) % 0.45/0.64 (define @t52 () (@list @t3 tptp.v_Y tptp.t_a)) % 0.45/0.64 (define @t53 () (tptp.c_lessequals @t3 tptp.v_Y @t1)) % 0.45/0.64 (define @t54 () (tptp.c_Main_OsubsetI__1 @t3 tptp.v_Y tptp.t_a)) % 0.45/0.64 (define @t55 () (tptp.c_in @t54 @t3 tptp.t_a)) % 0.45/0.64 (define @t56 () (or @t55 @t53)) % 0.45/0.64 (define @t57 () (tptp.c_in @t54 tptp.v_Y tptp.t_a)) % 0.45/0.64 (define @t58 () (not @t57)) % 0.45/0.64 (define @t59 () (or @t58 @t53)) % 0.45/0.64 (define @t60 () (not @t55)) % 0.45/0.64 (define @t61 () (or @t60 @t57)) % 0.45/0.64 (define @t62 () (and @t4 @t53)) % 0.45/0.64 (define @t63 () (not @t53)) % 0.45/0.64 (define @t64 () (@list tptp.v_x tptp.v_X tptp.t_a)) % 0.45/0.64 (define @t65 () (tptp.c_Main_OsubsetI__1 tptp.v_x tptp.v_X tptp.t_a)) % 0.45/0.64 (define @t66 () (tptp.c_in @t65 tptp.v_x tptp.t_a)) % 0.45/0.64 (define @t67 () (or @t66 @t11)) % 0.45/0.64 (define @t68 () (tptp.c_in @t65 tptp.v_X tptp.t_a)) % 0.45/0.64 (define @t69 () (not @t68)) % 0.45/0.64 (define @t70 () (or @t69 @t11)) % 0.45/0.64 (define @t71 () (tptp.c_in @t65 tptp.v_Y tptp.t_a)) % 0.45/0.64 (define @t72 () (not @t9)) % 0.45/0.64 (define @t73 () (not @t66)) % 0.45/0.64 (define @t74 () (or @t73 @t72 @t71)) % 0.45/0.64 (define @t75 () (tptp.c_in @t65 tptp.v_Z tptp.t_a)) % 0.45/0.64 (define @t76 () (not @t10)) % 0.45/0.64 (define @t77 () (or @t73 @t76 @t75)) % 0.45/0.64 (define @t78 () (tptp.c_Main_OsubsetI__1 tptp.v_x @t3 tptp.t_a)) % 0.45/0.64 (define @t79 () (tptp.c_in @t78 @t3 tptp.t_a)) % 0.45/0.64 (define @t80 () (not @t79)) % 0.45/0.64 (define @t81 () (and @t4 @t69)) % 0.45/0.64 (define @t82 () (tptp.c_in @t78 tptp.v_Y tptp.t_a)) % 0.45/0.64 (define @t83 () (and @t4 @t71)) % 0.45/0.64 (define @t84 () (tptp.c_in @t78 tptp.v_Z tptp.t_a)) % 0.45/0.64 (define @t85 () (and @t4 @t75)) % 0.45/0.64 (define @t86 () (not @t82)) % 0.45/0.64 (define @t87 () (not @t84)) % 0.45/0.64 (define @t88 () (or @t87 @t86 @t79)) % 0.45/0.64 (define @t89 () (or @t16 @t15 @t14)) % 0.45/0.64 (define @t90 () (forall @t18 @t89)) % 0.45/0.64 (define @t91 () (or @t4 @t89)) % 0.45/0.64 (define @t92 () (@list true)) % 0.45/0.64 (define @t93 () (tptp.c_lessequals @t3 tptp.v_X @t1)) % 0.45/0.64 (define @t94 () (or @t93 @t48 @t63)) % 0.45/0.64 (define @t95 () (@list false false false)) % 0.45/0.64 (define @t96 () (tptp.c_lessequals tptp.v_X @t3 @t1)) % 0.45/0.64 (define @t97 () (not @t96)) % 0.45/0.64 (define @t98 () (not @t93)) % 0.45/0.64 (define @t99 () (or @t98 @t97 @t4)) % 0.45/0.64 (define @t100 () (tptp.c_in @t35 tptp.v_X tptp.t_a)) % 0.45/0.64 (define @t101 () (or @t100 @t96)) % 0.45/0.64 (define @t102 () (@list true false)) % 0.45/0.64 (define @t103 () (tptp.c_in @t35 tptp.v_Z tptp.t_a)) % 0.45/0.64 (define @t104 () (not @t100)) % 0.45/0.64 (define @t105 () (or @t104 @t8 @t103)) % 0.45/0.64 (define @t106 () (tptp.c_in @t35 @t3 tptp.t_a)) % 0.45/0.64 (define @t107 () (not @t106)) % 0.45/0.64 (define @t108 () (or @t107 @t96)) % 0.45/0.64 (define @t109 () (tptp.c_in @t35 tptp.v_Y tptp.t_a)) % 0.45/0.64 (define @t110 () (or @t104 @t7 @t109)) % 0.45/0.64 (define @t111 () (not @t109)) % 0.45/0.64 (define @t112 () (not @t103)) % 0.45/0.64 (define @t113 () (or @t112 @t111 @t106)) % 0.45/0.64 (assume @p1 (or @t4 @t2)) % 0.45/0.64 (assume @p2 (or @t4 @t5)) % 0.45/0.64 (assume @p3 (or @t9 @t8 @t7 @t6)) % 0.45/0.64 (assume @p4 (or @t10 @t8 @t7 @t6)) % 0.45/0.64 (assume @p5 (or @t12 @t8 @t7 @t6)) % 0.45/0.64 (assume @p6 @t19) % 0.45/0.64 (assume @p7 (forall @t27 (or @t26 @t23))) % 0.45/0.64 (assume @p8 (forall @t27 (or @t26 @t28))) % 0.45/0.64 (assume @p9 (forall (@list @t22 @t21 @t20 @t24) (or (not @t23) @t29 @t25))) % 0.45/0.64 (assume @p10 (forall (@list @t22 @t24 @t20 @t21) (or @t29 @t32 @t23))) % 0.45/0.64 (assume @p11 (forall @t34 (or (tptp.c_in @t33 @t24 @t20) @t31))) % 0.45/0.64 (assume @p12 (forall @t34 (or (not (tptp.c_in @t33 @t21 @t20)) @t31))) % 0.45/0.64 (assume @p13 (forall (@list @t21 @t24 @t20) (or (not (tptp.c_lessequals @t21 @t24 @t30)) @t32 (= @t24 @t21)))) % 0.45/0.64 (step @p14 :rule instantiate :premises (@p10) :args ((@list @t35 tptp.v_X tptp.t_a tptp.v_Z))) % 0.45/0.64 (step @p15 :rule instantiate :premises (@p11) :args (@t36)) % 0.45/0.64 (step @p16 :rule instantiate :premises (@p13) :args ((@list @t3 tptp.v_X tptp.t_a))) % 0.45/0.64 (step @p17 :rule instantiate :premises (@p11) :args (@t37)) % 0.45/0.64 (step @p18 :rule cnf_or_pos :args (@t41)) % 0.45/0.64 (step @p19 :rule reordering :premises (@p18) :args ((or @t38 @t40 (not @t41)))) % 0.45/0.64 (step @p20 :rule instantiate :premises (@p12) :args (@t37)) % 0.45/0.64 (step @p21 :rule cnf_or_pos :args (@t44)) % 0.45/0.64 (step @p22 :rule reordering :premises (@p21) :args ((or @t38 @t43 (not @t44)))) % 0.45/0.64 (step @p23 :rule instantiate :premises (@p7) :args ((@list @t39 tptp.v_Y tptp.v_Z tptp.t_a))) % 0.45/0.64 (step @p24 :rule cnf_or_pos :args (@t46)) % 0.45/0.64 (step @p25 :rule reordering :premises (@p24) :args ((or @t42 @t45 (not @t46)))) % 0.45/0.64 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p22 @p20 @p19 @p17) :args (@t38 @t47 (@list @t46 @t42 @t44 @t40 @t41))) % 0.45/0.64 (step @p27 :rule refl :args (@t48)) % 0.45/0.64 (step @p28 :rule bool-double-not-elim :args (@t5)) % 0.45/0.64 (step @p29 :rule refl :args (@t6)) % 0.45/0.64 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args ((or @t6 (not @t8) @t48))) % 0.45/0.64 (assume-push @p219 @t38) % 0.45/0.64 (assume-push @p220 @t4) % 0.45/0.64 (assume-push @p221 @t8) % 0.45/0.64 (step @p34 :rule evaluate :args ((= false true))) % 0.45/0.64 (step @p35 :rule true_intro :premises (@p26)) % 0.45/0.64 (step @p36 :rule refl :args (@t1)) % 0.45/0.64 (step @p37 :rule refl :args (tptp.v_Z)) % 0.45/0.64 (step @p38 :rule cong :premises (@p220 @p37 @p36) :args (@t5)) % 0.45/0.64 (step @p39 :rule false_intro :premises (@p221)) % 0.45/0.64 (step @p40 :rule symm :premises (@p39)) % 0.45/0.64 (step @p41 :rule trans :premises (@p40 @p38 @p35)) % 0.45/0.64 (step @p42 false :rule eq_resolve :premises (@p41 @p34)) % 0.45/0.64 (step-pop @p222 :rule scope :premises (@p42)) % 0.45/0.64 (step-pop @p223 :rule scope :premises (@p222)) % 0.45/0.64 (step-pop @p224 :rule scope :premises (@p223)) % 0.45/0.64 (step @p43 :rule process_scope :premises (@p224) :args (false)) % 0.45/0.64 (assume-push @p225 @t4) % 0.45/0.64 (assume-push @p226 @t8) % 0.45/0.64 (assume-push @p227 @t38) % 0.45/0.64 (step @p50 :rule and_intro :premises (@p26 @p225 @p226)) % 0.45/0.64 (step-pop @p228 :rule scope :premises (@p50)) % 0.45/0.64 (step-pop @p229 :rule scope :premises (@p228)) % 0.45/0.64 (step-pop @p230 :rule scope :premises (@p229)) % 0.45/0.64 (step @p51 :rule process_scope :premises (@p230) :args (@t49)) % 0.45/0.64 (step @p55 :rule implies_elim :premises (@p51)) % 0.45/0.64 (step @p56 :rule resolution :premises (@p55 @p43) :args (true @t49)) % 0.45/0.64 (step @p57 :rule not_and :premises (@p56)) % 0.45/0.64 (step @p58 :rule eq_resolve :premises (@p57 @p30)) % 0.45/0.64 (step @p59 :rule reordering :premises (@p58) :args ((or @t5 @t6 @t48))) % 0.45/0.64 (step @p60 :rule chain_m_resolution :premises (@p59 @p2) :args ((or @t5 @t48) @t50 @t51)) % 0.45/0.64 (step @p61 :rule chain_m_resolution :premises (@p60 @p26) :args (@t5 @t50 (@list @t38))) % 0.45/0.64 (step @p62 :rule instantiate :premises (@p11) :args (@t52)) % 0.45/0.64 (step @p63 :rule cnf_or_pos :args (@t56)) % 0.45/0.64 (step @p64 :rule reordering :premises (@p63) :args ((or @t53 @t55 (not @t56)))) % 0.45/0.64 (step @p65 :rule instantiate :premises (@p12) :args (@t52)) % 0.45/0.64 (step @p66 :rule cnf_or_pos :args (@t59)) % 0.45/0.64 (step @p67 :rule reordering :premises (@p66) :args ((or @t53 @t58 (not @t59)))) % 0.45/0.64 (step @p68 :rule instantiate :premises (@p8) :args ((@list @t54 tptp.v_Y tptp.v_Z tptp.t_a))) % 0.45/0.64 (step @p69 :rule cnf_or_pos :args (@t61)) % 0.45/0.64 (step @p70 :rule reordering :premises (@p69) :args ((or @t57 @t60 (not @t61)))) % 0.45/0.64 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p67 @p65 @p64 @p62) :args (@t53 @t47 (@list @t61 @t57 @t59 @t55 @t56))) % 0.45/0.64 (assume-push @p231 @t4) % 0.45/0.64 (assume-push @p232 @t53) % 0.45/0.64 (assume-push @p233 @t53) % 0.45/0.64 (assume-push @p234 @t4) % 0.45/0.64 (step @p76 :rule true_intro :premises (@p71)) % 0.45/0.64 (step @p36 :rule refl :args (@t1)) % 0.45/0.64 (step @p77 :rule refl :args (tptp.v_Y)) % 0.45/0.64 (step @p78 :rule cong :premises (@p231 @p77 @p36) :args (@t2)) % 0.45/0.64 (step @p79 :rule trans :premises (@p78 @p76)) % 0.45/0.64 (step @p80 :rule true_elim :premises (@p79)) % 0.45/0.64 (step-pop @p235 :rule scope :premises (@p80)) % 0.45/0.64 (step-pop @p236 :rule scope :premises (@p235)) % 0.45/0.64 (step @p81 :rule process_scope :premises (@p236) :args (@t2)) % 0.45/0.64 (step @p84 :rule and_intro :premises (@p71 @p231)) % 0.45/0.64 (step @p85 :rule modus_ponens :premises (@p84 @p81)) % 0.45/0.64 (step-pop @p237 :rule scope :premises (@p85)) % 0.45/0.64 (step-pop @p238 :rule scope :premises (@p237)) % 0.45/0.64 (step @p86 :rule process_scope :premises (@p238) :args (@t2)) % 0.45/0.64 (step @p89 :rule implies_elim :premises (@p86)) % 0.45/0.64 (step @p90 :rule cnf_and_neg :args (@t62)) % 0.45/0.64 (step @p91 :rule resolution :premises (@p90 @p89) :args (true @t62)) % 0.45/0.64 (step @p92 :rule reordering :premises (@p91) :args ((or @t2 @t6 @t63))) % 0.45/0.64 (step @p93 :rule reordering :premises (@p4) :args ((or @t8 @t7 @t6 @t10))) % 0.45/0.64 (step @p94 :rule reordering :premises (@p5) :args ((or @t8 @t7 @t6 @t12))) % 0.45/0.64 (step @p95 :rule instantiate :premises (@p11) :args (@t64)) % 0.45/0.64 (step @p96 :rule cnf_or_pos :args (@t67)) % 0.45/0.64 (step @p97 :rule reordering :premises (@p96) :args ((or @t11 @t66 (not @t67)))) % 0.45/0.64 (step @p98 :rule instantiate :premises (@p12) :args (@t64)) % 0.45/0.64 (step @p99 :rule cnf_or_pos :args (@t70)) % 0.45/0.64 (step @p100 :rule reordering :premises (@p99) :args ((or @t11 @t69 (not @t70)))) % 0.45/0.64 (step @p101 :rule instantiate :premises (@p10) :args ((@list @t65 tptp.v_x tptp.t_a tptp.v_Y))) % 0.45/0.64 (step @p102 :rule cnf_or_pos :args (@t74)) % 0.45/0.64 (step @p103 :rule reordering :premises (@p102) :args ((or @t72 @t73 @t71 (not @t74)))) % 0.45/0.64 (step @p104 :rule instantiate :premises (@p10) :args ((@list @t65 tptp.v_x tptp.t_a tptp.v_Z))) % 0.45/0.64 (step @p105 :rule cnf_or_pos :args (@t77)) % 0.45/0.64 (step @p106 :rule reordering :premises (@p105) :args ((or @t76 @t73 @t75 (not @t77)))) % 0.45/0.64 (step @p107 :rule refl :args (@t80)) % 0.45/0.64 (step @p108 :rule bool-double-not-elim :args (@t68)) % 0.45/0.64 (step @p109 :rule nary_cong :premises (@p29 @p108 @p107) :args ((or @t6 (not @t69) @t80))) % 0.45/0.64 (assume-push @p239 @t4) % 0.45/0.64 (assume-push @p240 @t69) % 0.45/0.64 (assume-push @p241 @t69) % 0.45/0.64 (assume-push @p242 @t4) % 0.45/0.64 (step @p114 :rule false_intro :premises (@p240)) % 0.45/0.64 (step @p115 :rule refl :args (tptp.t_a)) % 0.45/0.64 (step @p116 :rule symm :premises (@p239)) % 0.45/0.64 (step @p117 :rule refl :args (tptp.v_x)) % 0.45/0.64 (step @p118 :rule cong :premises (@p117 @p116 @p115) :args (@t78)) % 0.45/0.64 (step @p119 :rule cong :premises (@p118 @p116 @p115) :args (@t79)) % 0.45/0.64 (step @p120 :rule trans :premises (@p119 @p114)) % 0.45/0.64 (step @p121 :rule false_elim :premises (@p120)) % 0.45/0.64 (step-pop @p243 :rule scope :premises (@p121)) % 0.45/0.64 (step-pop @p244 :rule scope :premises (@p243)) % 0.45/0.64 (step @p122 :rule process_scope :premises (@p244) :args (@t80)) % 0.45/0.64 (step @p125 :rule and_intro :premises (@p240 @p239)) % 0.45/0.64 (step @p126 :rule modus_ponens :premises (@p125 @p122)) % 0.45/0.64 (step-pop @p245 :rule scope :premises (@p126)) % 0.45/0.64 (step-pop @p246 :rule scope :premises (@p245)) % 0.45/0.64 (step @p127 :rule process_scope :premises (@p246) :args (@t80)) % 0.45/0.64 (step @p130 :rule implies_elim :premises (@p127)) % 0.45/0.64 (step @p131 :rule cnf_and_neg :args (@t81)) % 0.45/0.64 (step @p132 :rule resolution :premises (@p131 @p130) :args (true @t81)) % 0.45/0.64 (step @p133 :rule eq_resolve :premises (@p132 @p109)) % 0.45/0.64 (assume-push @p247 @t4) % 0.45/0.64 (assume-push @p248 @t71) % 0.45/0.64 (assume-push @p249 @t71) % 0.45/0.64 (assume-push @p250 @t4) % 0.45/0.64 (step @p138 :rule true_intro :premises (@p248)) % 0.45/0.64 (step @p115 :rule refl :args (tptp.t_a)) % 0.45/0.64 (step @p77 :rule refl :args (tptp.v_Y)) % 0.45/0.64 (step @p139 :rule symm :premises (@p247)) % 0.45/0.64 (step @p117 :rule refl :args (tptp.v_x)) % 0.45/0.64 (step @p140 :rule cong :premises (@p117 @p139 @p115) :args (@t78)) % 0.45/0.64 (step @p141 :rule cong :premises (@p140 @p77 @p115) :args (@t82)) % 0.45/0.64 (step @p142 :rule trans :premises (@p141 @p138)) % 0.45/0.64 (step @p143 :rule true_elim :premises (@p142)) % 0.45/0.64 (step-pop @p251 :rule scope :premises (@p143)) % 0.45/0.64 (step-pop @p252 :rule scope :premises (@p251)) % 0.45/0.64 (step @p144 :rule process_scope :premises (@p252) :args (@t82)) % 0.45/0.64 (step @p147 :rule and_intro :premises (@p248 @p247)) % 0.45/0.64 (step @p148 :rule modus_ponens :premises (@p147 @p144)) % 0.45/0.64 (step-pop @p253 :rule scope :premises (@p148)) % 0.45/0.64 (step-pop @p254 :rule scope :premises (@p253)) % 0.45/0.64 (step @p149 :rule process_scope :premises (@p254) :args (@t82)) % 0.45/0.64 (step @p152 :rule implies_elim :premises (@p149)) % 0.45/0.64 (step @p153 :rule cnf_and_neg :args (@t83)) % 0.45/0.64 (step @p154 :rule resolution :premises (@p153 @p152) :args (true @t83)) % 0.45/0.64 (assume-push @p255 @t4) % 0.45/0.64 (assume-push @p256 @t75) % 0.45/0.64 (assume-push @p257 @t75) % 0.45/0.64 (assume-push @p258 @t4) % 0.45/0.64 (step @p159 :rule true_intro :premises (@p256)) % 0.45/0.64 (step @p115 :rule refl :args (tptp.t_a)) % 0.45/0.64 (step @p37 :rule refl :args (tptp.v_Z)) % 0.45/0.64 (step @p160 :rule symm :premises (@p255)) % 0.45/0.64 (step @p117 :rule refl :args (tptp.v_x)) % 0.45/0.64 (step @p161 :rule cong :premises (@p117 @p160 @p115) :args (@t78)) % 0.45/0.64 (step @p162 :rule cong :premises (@p161 @p37 @p115) :args (@t84)) % 0.45/0.64 (step @p163 :rule trans :premises (@p162 @p159)) % 0.45/0.64 (step @p164 :rule true_elim :premises (@p163)) % 0.45/0.64 (step-pop @p259 :rule scope :premises (@p164)) % 0.45/0.64 (step-pop @p260 :rule scope :premises (@p259)) % 0.45/0.64 (step @p165 :rule process_scope :premises (@p260) :args (@t84)) % 0.45/0.64 (step @p168 :rule and_intro :premises (@p256 @p255)) % 0.45/0.64 (step @p169 :rule modus_ponens :premises (@p168 @p165)) % 0.45/0.64 (step-pop @p261 :rule scope :premises (@p169)) % 0.45/0.64 (step-pop @p262 :rule scope :premises (@p261)) % 0.45/0.64 (step @p170 :rule process_scope :premises (@p262) :args (@t84)) % 0.45/0.64 (step @p173 :rule implies_elim :premises (@p170)) % 0.45/0.64 (step @p174 :rule cnf_and_neg :args (@t85)) % 0.45/0.64 (step @p175 :rule resolution :premises (@p174 @p173) :args (true @t85)) % 0.45/0.64 (step @p176 :rule reordering :premises (@p175) :args ((or @t6 @t84 (not @t75)))) % 0.45/0.64 (step @p177 :rule instantiate :premises (@p9) :args ((@list @t78 tptp.v_Z tptp.t_a tptp.v_Y))) % 0.45/0.64 (step @p178 :rule cnf_or_pos :args (@t88)) % 0.45/0.64 (step @p179 :rule reordering :premises (@p178) :args ((or @t79 @t87 @t86 (not @t88)))) % 0.45/0.64 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p176 @p154 @p133 @p106 @p104 @p103 @p101 @p100 @p98 @p97 @p95 @p94 @p93 @p3 @p92 @p71) :args ((or @t8 @t6) (@list false false false true false false false false true false false false true false false false false) (@list @t88 @t84 @t82 @t79 @t75 @t77 @t71 @t74 @t68 @t70 @t66 @t67 @t11 @t10 @t9 @t2 @t53))) % 0.45/0.64 (step @p181 :rule chain_m_resolution :premises (@p180 @p61) :args (@t6 @t50 (@list @t5))) % 0.45/0.64 (step @p182 :rule quant-miniscope-or :args ((= (forall @t18 @t91) (or @t4 @t90)))) % 0.45/0.64 (step @p183 :rule aci_norm :args ((= @t17 @t91))) % 0.45/0.64 (step @p184 :rule cong :premises (@p183) :args (@t19)) % 0.45/0.64 (step @p185 :rule trans :premises (@p184 @p182)) % 0.45/0.64 (step @p186 :rule eq_resolve :premises (@p6 @p185)) % 0.45/0.64 (step @p187 :rule chain_m_resolution :premises (@p186 @p181) :args (@t90 @t92 @t51)) % 0.45/0.64 (assume-push @p263 @t90) % 0.45/0.64 (step @p189 :rule instantiate :premises (@p263) :args ((@list @t3))) % 0.45/0.64 (step-pop @p264 :rule scope :premises (@p189)) % 0.45/0.64 (step @p190 :rule process_scope :premises (@p264) :args (@t94)) % 0.45/0.64 (step @p192 :rule implies_elim :premises (@p190)) % 0.45/0.64 (step @p193 :rule chain_m_resolution :premises (@p192 @p187) :args (@t94 @t50 (@list @t90))) % 0.45/0.64 (step @p194 :rule cnf_or_pos :args (@t94)) % 0.45/0.64 (step @p195 :rule reordering :premises (@p194) :args ((or @t63 @t93 @t48 (not @t94)))) % 0.45/0.64 (step @p196 :rule chain_m_resolution :premises (@p195 @p71 @p26 @p193) :args (@t93 @t95 (@list @t53 @t38 @t94))) % 0.45/0.64 (step @p197 :rule cnf_or_pos :args (@t99)) % 0.45/0.64 (step @p198 :rule reordering :premises (@p197) :args ((or @t4 @t98 @t97 (not @t99)))) % 0.45/0.64 (step @p199 :rule chain_m_resolution :premises (@p198 @p181 @p196 @p16) :args (@t97 (@list true false false) (@list @t4 @t93 @t99))) % 0.45/0.64 (step @p200 :rule cnf_or_pos :args (@t101)) % 0.45/0.64 (step @p201 :rule reordering :premises (@p200) :args ((or @t96 @t100 (not @t101)))) % 0.45/0.64 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p15) :args (@t100 @t102 (@list @t96 @t101))) % 0.45/0.64 (step @p203 :rule cnf_or_pos :args (@t105)) % 0.45/0.64 (step @p204 :rule reordering :premises (@p203) :args ((or @t8 @t104 @t103 (not @t105)))) % 0.45/0.64 (step @p205 :rule chain_m_resolution :premises (@p204 @p61 @p202 @p14) :args (@t103 @t95 (@list @t5 @t100 @t105))) % 0.45/0.64 (step @p206 :rule instantiate :premises (@p9) :args ((@list @t35 tptp.v_Z tptp.t_a tptp.v_Y))) % 0.45/0.64 (step @p207 :rule instantiate :premises (@p12) :args (@t36)) % 0.45/0.64 (step @p208 :rule cnf_or_pos :args (@t108)) % 0.45/0.64 (step @p209 :rule reordering :premises (@p208) :args ((or @t96 @t107 (not @t108)))) % 0.45/0.64 (step @p210 :rule chain_m_resolution :premises (@p209 @p199 @p207) :args (@t107 @t102 (@list @t96 @t108))) % 0.45/0.64 (step @p211 :rule instantiate :premises (@p10) :args ((@list @t35 tptp.v_X tptp.t_a tptp.v_Y))) % 0.45/0.64 (step @p212 :rule chain_m_resolution :premises (@p1 @p181) :args (@t2 @t92 @t51)) % 0.45/0.64 (step @p213 :rule cnf_or_pos :args (@t110)) % 0.45/0.64 (step @p214 :rule reordering :premises (@p213) :args ((or @t7 @t104 @t109 (not @t110)))) % 0.45/0.64 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p202 @p211) :args (@t109 @t95 (@list @t2 @t100 @t110))) % 0.45/0.64 (step @p216 :rule cnf_or_pos :args (@t113)) % 0.45/0.64 (step @p217 :rule reordering :premises (@p216) :args ((or @t106 @t112 @t111 (not @t113)))) % 0.45/0.64 (step @p218 false :rule chain_m_resolution :premises (@p217 @p215 @p210 @p206 @p205) :args (false (@list false true false false) (@list @t109 @t106 @t113 @t103))) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------