%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM836+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:40:46 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM836+2 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 12:28:33 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.v1 $$unsorted) % 0.15/0.36 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.vd203 $$unsorted) % 0.15/0.36 (declare-const tptp.vd204 $$unsorted) % 0.15/0.36 (define @t1 () (tptp.less tptp.vd203 tptp.vd204)) % 0.15/0.36 (define @t2 () (not @t1)) % 0.15/0.36 (define @t3 () (tptp.greater tptp.vd203 tptp.vd204)) % 0.15/0.36 (define @t4 () (not @t3)) % 0.15/0.36 (define @t5 () (@var "Vd201" $$unsorted)) % 0.15/0.36 (define @t6 () (@var "Vd199" $$unsorted)) % 0.15/0.36 (define @t7 () (@var "Vd198" $$unsorted)) % 0.15/0.36 (define @t8 () (= @t7 (tptp.vplus @t6 @t5))) % 0.15/0.36 (define @t9 () (@list @t5)) % 0.15/0.36 (define @t10 () (exists @t9 @t8)) % 0.15/0.36 (define @t11 () (tptp.less @t6 @t7)) % 0.15/0.36 (define @t12 () (= @t11 @t10)) % 0.15/0.36 (define @t13 () (forall (@list @t7 @t6) @t12)) % 0.15/0.36 (define @t14 () (@var "Vd196" $$unsorted)) % 0.15/0.36 (define @t15 () (@var "Vd193" $$unsorted)) % 0.15/0.36 (define @t16 () (@var "Vd194" $$unsorted)) % 0.15/0.36 (define @t17 () (= @t16 (tptp.vplus @t15 @t14))) % 0.15/0.36 (define @t18 () (@list @t14)) % 0.15/0.36 (define @t19 () (exists @t18 @t17)) % 0.15/0.36 (define @t20 () (tptp.greater @t16 @t15)) % 0.15/0.36 (define @t21 () (= @t20 @t19)) % 0.15/0.36 (define @t22 () (forall (@list @t15 @t16) @t21)) % 0.15/0.36 (define @t23 () (@var "Vd125" $$unsorted)) % 0.15/0.36 (define @t24 () (@var "Vd120" $$unsorted)) % 0.15/0.36 (define @t25 () (@var "Vd121" $$unsorted)) % 0.15/0.36 (define @t26 () (= @t25 (tptp.vplus @t24 @t23))) % 0.15/0.36 (define @t27 () (@list @t23)) % 0.15/0.36 (define @t28 () (exists @t27 @t26)) % 0.15/0.36 (define @t29 () (@var "Vd123" $$unsorted)) % 0.15/0.36 (define @t30 () (= @t24 (tptp.vplus @t25 @t29))) % 0.15/0.36 (define @t31 () (@list @t29)) % 0.15/0.36 (define @t32 () (exists @t31 @t30)) % 0.15/0.36 (define @t33 () (= @t24 @t25)) % 0.15/0.36 (define @t34 () (@list @t24 @t25)) % 0.15/0.36 (define @t35 () (not @t28)) % 0.15/0.36 (define @t36 () (not @t33)) % 0.15/0.36 (define @t37 () (not @t32)) % 0.15/0.36 (define @t38 () (or @t37 @t35)) % 0.15/0.36 (define @t39 () (forall @t34 @t38)) % 0.15/0.36 (define @t40 () (@var "Vd105" $$unsorted)) % 0.15/0.36 (define @t41 () (@var "Vd107" $$unsorted)) % 0.15/0.36 (define @t42 () (@var "Vd104" $$unsorted)) % 0.15/0.36 (define @t43 () (@var "Vd48" $$unsorted)) % 0.15/0.36 (define @t44 () (@var "Vd47" $$unsorted)) % 0.15/0.36 (define @t45 () (@var "Vd46" $$unsorted)) % 0.15/0.36 (define @t46 () (@var "Vd42" $$unsorted)) % 0.15/0.36 (define @t47 () (@var "Vd43" $$unsorted)) % 0.15/0.36 (define @t48 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.15/0.36 (define @t49 () (@var "BOUND_VARIABLE_7556" $$unsorted)) % 0.15/0.36 (define @t50 () (tptp.vplus @t25 @t49)) % 0.15/0.36 (define @t51 () (not (= @t25 (tptp.vplus @t50 @t48)))) % 0.15/0.36 (define @t52 () (not (= @t50 @t50))) % 0.15/0.36 (define @t53 () (or @t52 @t51)) % 0.15/0.36 (define @t54 () (@list @t25 @t49 @t48)) % 0.15/0.36 (define @t55 () (not (= @t25 (tptp.vplus @t24 @t48)))) % 0.15/0.36 (define @t56 () (not (= @t24 @t50))) % 0.15/0.36 (define @t57 () (or @t56 @t56 @t55)) % 0.15/0.36 (define @t58 () (@list @t24)) % 0.15/0.36 (define @t59 () (or @t56 @t55)) % 0.15/0.36 (define @t60 () (forall @t58 @t59)) % 0.15/0.36 (define @t61 () (forall @t54 @t60)) % 0.15/0.36 (define @t62 () (forall (@list @t25 @t49 @t48 @t24) @t59)) % 0.15/0.36 (define @t63 () (forall (@list @t24 @t25 @t49 @t48) @t59)) % 0.15/0.36 (define @t64 () (forall (@list @t49 @t48) @t59)) % 0.15/0.36 (define @t65 () (forall (@list @t48) @t55)) % 0.15/0.36 (define @t66 () (forall (@list @t49) @t56)) % 0.15/0.36 (define @t67 () (or @t66 @t65)) % 0.15/0.36 (define @t68 () (forall @t27 (not @t26))) % 0.15/0.36 (define @t69 () (forall @t31 (not @t30))) % 0.15/0.36 (define @t70 () (forall @t9 (not (= tptp.vd204 (tptp.vplus tptp.vd203 @t5))))) % 0.15/0.36 (define @t71 () (@quantifiers_skolemize @t70 0)) % 0.15/0.36 (define @t72 () (@list tptp.vd204 tptp.vd203)) % 0.15/0.36 (define @t73 () (forall @t18 (not (= tptp.vd203 (tptp.vplus tptp.vd204 @t14))))) % 0.15/0.36 (define @t74 () (not @t73)) % 0.15/0.36 (define @t75 () (= @t3 @t74)) % 0.15/0.36 (define @t76 () (@list false false)) % 0.15/0.36 (define @t77 () (@quantifiers_skolemize @t73 0)) % 0.15/0.36 (define @t78 () (tptp.vplus tptp.vd204 @t77)) % 0.15/0.36 (define @t79 () (= tptp.vd203 @t78)) % 0.15/0.36 (define @t80 () (not (not @t79))) % 0.15/0.36 (define @t81 () (@list true)) % 0.15/0.36 (define @t82 () (tptp.vplus tptp.vd203 @t71)) % 0.15/0.36 (define @t83 () (not @t70)) % 0.15/0.36 (define @t84 () (= @t1 @t83)) % 0.15/0.36 (define @t85 () (= tptp.vd204 @t82)) % 0.15/0.36 (define @t86 () (not (not @t85))) % 0.15/0.36 (define @t87 () (forall @t54 @t51)) % 0.15/0.36 (define @t88 () (= tptp.vd204 (tptp.vplus @t78 @t71))) % 0.15/0.36 (assume @p1 (not (or @t4 @t2))) % 0.15/0.36 (assume @p2 (or (not (= tptp.vd203 tptp.vd204)) @t4)) % 0.15/0.36 (assume @p3 @t13) % 0.15/0.36 (assume @p4 @t22) % 0.15/0.36 (assume @p5 (forall @t34 (or @t33 @t32 @t28))) % 0.15/0.36 (assume @p6 (forall @t34 (or @t36 @t35))) % 0.15/0.36 (assume @p7 @t39) % 0.15/0.36 (assume @p8 (forall @t34 (or @t36 @t37))) % 0.15/0.36 (assume @p9 (forall (@list @t42 @t40) (=> (not (= @t42 @t40)) (forall (@list @t41) (not (= (tptp.vplus @t41 @t42) (tptp.vplus @t41 @t40))))))) % 0.15/0.36 (assume @p10 (forall (@list @t45 @t44 @t43) (= (tptp.vplus (tptp.vplus @t45 @t44) @t43) (tptp.vplus @t45 (tptp.vplus @t44 @t43))))) % 0.15/0.36 (assume @p11 (forall (@list @t46 @t47) (and (= (tptp.vplus @t46 (tptp.vsucc @t47)) (tptp.vsucc (tptp.vplus @t46 @t47))) (= (tptp.vplus @t46 tptp.v1) (tptp.vsucc @t46))))) % 0.15/0.36 (assume @p12 true) % 0.15/0.36 (step @p13 :rule aci_norm :args ((= (or false @t51) @t51))) % 0.15/0.36 (step @p14 :rule refl :args (@t51)) % 0.15/0.36 (step @p15 :rule evaluate :args ((not true))) % 0.15/0.36 (step @p16 :rule eq-refl :args (@t50)) % 0.15/0.36 (step @p17 :rule cong :premises (@p16) :args (@t52)) % 0.15/0.36 (step @p18 :rule trans :premises (@p17 @p15)) % 0.15/0.36 (step @p19 :rule nary_cong :premises (@p18 @p14) :args (@t53)) % 0.15/0.36 (step @p20 :rule trans :premises (@p19 @p13)) % 0.15/0.36 (step @p21 :rule cong :premises (@p20) :args ((forall @t54 @t53))) % 0.15/0.36 (step @p22 :rule quant-var-elim-eq :args ((= (forall @t58 @t57) @t53))) % 0.15/0.36 (step @p23 :rule aci_norm :args ((= @t59 @t57))) % 0.15/0.36 (step @p24 :rule cong :premises (@p23) :args (@t60)) % 0.15/0.36 (step @p25 :rule trans :premises (@p24 @p22)) % 0.15/0.36 (step @p26 :rule cong :premises (@p25) :args (@t61)) % 0.15/0.36 (step @p27 :rule quant-merge-prenex :args ((= @t61 @t62))) % 0.15/0.36 (step @p28 :rule symm :premises (@p27)) % 0.15/0.36 (step @p29 :rule quant_var_reordering :args ((= @t63 @t62))) % 0.15/0.36 (step @p30 :rule trans :premises (@p29 @p28 @p26)) % 0.15/0.36 (step @p31 :rule trans :premises (@p30 @p21)) % 0.15/0.36 (step @p32 :rule quant-merge-prenex :args ((= (forall @t34 @t64) @t63))) % 0.15/0.36 (step @p33 :rule alpha_equiv :args (@t65 (@list @t48) (@list @t23))) % 0.15/0.36 (step @p34 :rule alpha_equiv :args (@t66 (@list @t49) (@list @t29))) % 0.15/0.36 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t67)) % 0.15/0.36 (step @p36 :rule quant-miniscope-or :args ((= @t64 @t67))) % 0.15/0.36 (step @p37 :rule trans :premises (@p36 @p35)) % 0.15/0.36 (step @p38 :rule symm :premises (@p37)) % 0.15/0.36 (step @p39 :rule cong :premises (@p38) :args ((forall @t34 (or @t69 @t68)))) % 0.15/0.36 (step @p40 :rule trans :premises (@p39 @p32)) % 0.15/0.36 (step @p41 :rule trans :premises (@p40 @p31)) % 0.15/0.36 (step @p42 :rule bool-double-not-elim :args (@t68)) % 0.15/0.36 (step @p43 :rule exists-elim :args ((= @t28 (not @t68)))) % 0.15/0.36 (step @p44 :rule cong :premises (@p43) :args (@t35)) % 0.15/0.36 (step @p45 :rule trans :premises (@p44 @p42)) % 0.15/0.36 (step @p46 :rule bool-double-not-elim :args (@t69)) % 0.15/0.36 (step @p47 :rule exists-elim :args ((= @t32 (not @t69)))) % 0.15/0.36 (step @p48 :rule cong :premises (@p47) :args (@t37)) % 0.15/0.36 (step @p49 :rule trans :premises (@p48 @p46)) % 0.15/0.36 (step @p50 :rule nary_cong :premises (@p49 @p45) :args (@t38)) % 0.15/0.36 (step @p51 :rule cong :premises (@p50) :args (@t39)) % 0.15/0.36 (step @p52 :rule trans :premises (@p51 @p41)) % 0.15/0.36 (step @p53 :rule eq_resolve :premises (@p7 @p52)) % 0.15/0.36 (step @p54 :rule refl :args (@t71)) % 0.15/0.36 (step @p55 :rule exists-elim :args ((= @t19 (not (forall @t18 (not @t17)))))) % 0.15/0.36 (step @p56 :rule refl :args (@t20)) % 0.15/0.36 (step @p57 :rule cong :premises (@p56 @p55) :args (@t21)) % 0.15/0.36 (step @p58 :rule cong :premises (@p57) :args (@t22)) % 0.15/0.36 (step @p59 :rule eq_resolve :premises (@p4 @p58)) % 0.15/0.36 (step @p60 :rule instantiate :premises (@p59) :args (@t72)) % 0.15/0.36 (step @p61 :rule not_or_elim :premises (@p1) :args (0)) % 0.15/0.36 (step @p62 :rule not_not_elim :premises (@p61)) % 0.15/0.36 (step @p63 :rule cnf_equiv_pos1 :args (@t75)) % 0.15/0.36 (step @p64 :rule reordering :premises (@p63) :args ((or @t4 @t74 (not @t75)))) % 0.15/0.36 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p60) :args (@t74 @t76 (@list @t3 @t75))) % 0.15/0.36 (step @p66 :rule refl :args (@t79)) % 0.15/0.36 (step @p67 :rule bool-double-not-elim :args (@t73)) % 0.15/0.36 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or (not @t74) @t79))) % 0.15/0.36 (step @p69 :rule bool-double-not-elim :args (@t79)) % 0.15/0.36 (step @p70 :rule refl :args (@t74)) % 0.15/0.36 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t74 @t80))) % 0.15/0.36 (assume-push @p113 @t74) % 0.15/0.36 (step @p73 :rule skolemize :premises (@p65)) % 0.15/0.36 (step-pop @p114 :rule scope :premises (@p73)) % 0.15/0.36 (step @p74 :rule process_scope :premises (@p114) :args (@t80)) % 0.15/0.36 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.15/0.36 (step @p77 :rule implies_elim :premises (@p76)) % 0.15/0.36 (step @p78 :rule eq_resolve :premises (@p77 @p68)) % 0.15/0.36 (step @p79 :rule chain_m_resolution :premises (@p78 @p65) :args (@t79 @t81 (@list @t73))) % 0.15/0.36 (step @p80 :rule cong :premises (@p79 @p54) :args (@t82)) % 0.15/0.36 (step @p81 :rule exists-elim :args ((= @t10 (not (forall @t9 (not @t8)))))) % 0.15/0.36 (step @p82 :rule refl :args (@t11)) % 0.15/0.36 (step @p83 :rule cong :premises (@p82 @p81) :args (@t12)) % 0.15/0.36 (step @p84 :rule cong :premises (@p83) :args (@t13)) % 0.15/0.36 (step @p85 :rule eq_resolve :premises (@p3 @p84)) % 0.15/0.36 (step @p86 :rule instantiate :premises (@p85) :args (@t72)) % 0.15/0.36 (step @p87 :rule not_or_elim :premises (@p1) :args (1)) % 0.15/0.36 (step @p88 :rule not_not_elim :premises (@p87)) % 0.15/0.36 (step @p89 :rule cnf_equiv_pos1 :args (@t84)) % 0.15/0.36 (step @p90 :rule reordering :premises (@p89) :args ((or @t2 @t83 (not @t84)))) % 0.15/0.36 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p86) :args (@t83 @t76 (@list @t1 @t84))) % 0.15/0.37 (step @p92 :rule refl :args (@t85)) % 0.15/0.37 (step @p93 :rule bool-double-not-elim :args (@t70)) % 0.15/0.37 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or (not @t83) @t85))) % 0.15/0.37 (step @p95 :rule bool-double-not-elim :args (@t85)) % 0.15/0.37 (step @p96 :rule refl :args (@t83)) % 0.15/0.37 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t83 @t86))) % 0.15/0.37 (assume-push @p115 @t83) % 0.15/0.37 (step @p99 :rule skolemize :premises (@p91)) % 0.15/0.37 (step-pop @p116 :rule scope :premises (@p99)) % 0.15/0.37 (step @p100 :rule process_scope :premises (@p116) :args (@t86)) % 0.15/0.37 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.15/0.37 (step @p103 :rule implies_elim :premises (@p102)) % 0.15/0.37 (step @p104 :rule eq_resolve :premises (@p103 @p94)) % 0.15/0.37 (step @p105 :rule chain_m_resolution :premises (@p104 @p91) :args (@t85 @t81 (@list @t70))) % 0.15/0.37 (step @p106 :rule trans :premises (@p105 @p80)) % 0.15/0.37 (assume-push @p117 @t87) % 0.15/0.37 (step @p108 :rule instantiate :premises (@p53) :args ((@list tptp.vd204 @t77 @t71))) % 0.15/0.37 (step-pop @p118 :rule scope :premises (@p108)) % 0.15/0.37 (step @p109 :rule process_scope :premises (@p118) :args ((not @t88))) % 0.15/0.37 (step @p111 :rule implies_elim :premises (@p109)) % 0.15/0.37 (step @p112 false :rule chain_m_resolution :premises (@p111 @p106 @p53) :args (false @t76 (@list @t88 @t87))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------