%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM865_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:40:52 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM865_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:29:41 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_ARI % 0.39/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (define @t1 () (@var "Z4" Int)) % 0.39/0.56 (define @t2 () (@var "Z2" Int)) % 0.39/0.56 (define @t3 () (= @t2 @t1)) % 0.39/0.56 (define @t4 () (@var "Z3" Int)) % 0.39/0.56 (define @t5 () (@var "X" Int)) % 0.39/0.56 (define @t6 () (+ @t5 @t4)) % 0.39/0.56 (define @t7 () (= @t6 @t1)) % 0.39/0.56 (define @t8 () (@var "Z" Int)) % 0.39/0.56 (define @t9 () (@var "Y" Int)) % 0.39/0.56 (define @t10 () (+ @t9 @t8)) % 0.39/0.56 (define @t11 () (= @t10 @t4)) % 0.39/0.56 (define @t12 () (@var "Z1" Int)) % 0.39/0.56 (define @t13 () (+ @t12 @t8)) % 0.39/0.56 (define @t14 () (= @t13 @t2)) % 0.39/0.56 (define @t15 () (+ @t5 @t9)) % 0.39/0.56 (define @t16 () (= @t15 @t12)) % 0.39/0.56 (define @t17 () (and @t16 @t14 @t11 @t7)) % 0.39/0.56 (define @t18 () (=> @t17 @t3)) % 0.39/0.56 (define @t19 () (@list @t5 @t9 @t8 @t12 @t2 @t4 @t1)) % 0.39/0.56 (define @t20 () (forall @t19 @t18)) % 0.39/0.56 (define @t21 () (not @t20)) % 0.39/0.56 (define @t22 () (@list @t12 @t2 @t4 @t1)) % 0.39/0.56 (define @t23 () (not @t3)) % 0.39/0.56 (define @t24 () (or @t23 @t3)) % 0.39/0.56 (define @t25 () (+ @t12 @t4 (* -1 @t1))) % 0.39/0.56 (define @t26 () (* -1 @t2)) % 0.39/0.56 (define @t27 () (+ @t12 @t26 @t4)) % 0.39/0.56 (define @t28 () (= @t27 @t25)) % 0.39/0.56 (define @t29 () (not @t28)) % 0.39/0.56 (define @t30 () (not (= @t27 @t27))) % 0.39/0.56 (define @t31 () (or @t30 @t29 @t3)) % 0.39/0.56 (define @t32 () (= @t9 @t25)) % 0.39/0.56 (define @t33 () (not @t32)) % 0.39/0.56 (define @t34 () (not (= @t9 @t27))) % 0.39/0.56 (define @t35 () (or @t34 @t34 @t33 @t3)) % 0.39/0.56 (define @t36 () (@list @t9)) % 0.39/0.56 (define @t37 () (or @t34 @t33 @t3)) % 0.39/0.56 (define @t38 () (forall @t36 @t37)) % 0.39/0.56 (define @t39 () (forall @t22 @t38)) % 0.39/0.56 (define @t40 () (forall (@list @t12 @t2 @t4 @t1 @t9) @t37)) % 0.39/0.56 (define @t41 () (@list @t9 @t12 @t2 @t4 @t1)) % 0.39/0.56 (define @t42 () (+ @t12 @t26)) % 0.39/0.56 (define @t43 () (+ (* -1 @t12) @t2)) % 0.39/0.56 (define @t44 () (* -1 @t43)) % 0.39/0.56 (define @t45 () (+ @t44 @t4)) % 0.39/0.56 (define @t46 () (= @t9 @t45)) % 0.39/0.56 (define @t47 () (not @t46)) % 0.39/0.56 (define @t48 () (not (= @t43 @t43))) % 0.39/0.56 (define @t49 () (or @t48 @t47 @t33 @t3)) % 0.39/0.56 (define @t50 () (+ (* -1 @t8) @t4)) % 0.39/0.56 (define @t51 () (= @t9 @t50)) % 0.39/0.56 (define @t52 () (not @t51)) % 0.39/0.56 (define @t53 () (= @t8 @t43)) % 0.39/0.56 (define @t54 () (not @t53)) % 0.39/0.56 (define @t55 () (or @t54 @t54 @t52 @t33 @t3)) % 0.39/0.56 (define @t56 () (@list @t8)) % 0.39/0.56 (define @t57 () (or @t54 @t52 @t33 @t3)) % 0.39/0.56 (define @t58 () (forall @t56 @t57)) % 0.39/0.56 (define @t59 () (forall @t41 @t58)) % 0.39/0.56 (define @t60 () (forall (@list @t9 @t12 @t2 @t4 @t1 @t8) @t57)) % 0.39/0.56 (define @t61 () (@list @t9 @t8 @t12 @t2 @t4 @t1)) % 0.39/0.56 (define @t62 () (+ (* -1 @t4) @t1)) % 0.39/0.56 (define @t63 () (+ (* -1 @t9) @t12)) % 0.39/0.56 (define @t64 () (= @t63 @t62)) % 0.39/0.56 (define @t65 () (not @t64)) % 0.39/0.56 (define @t66 () (not (= @t63 @t63))) % 0.39/0.56 (define @t67 () (or @t66 @t54 @t52 @t65 @t3)) % 0.39/0.56 (define @t68 () (= @t5 @t62)) % 0.39/0.56 (define @t69 () (not @t68)) % 0.39/0.56 (define @t70 () (= @t5 @t63)) % 0.39/0.56 (define @t71 () (not @t70)) % 0.39/0.56 (define @t72 () (or @t71 @t71 @t54 @t52 @t69 @t3)) % 0.39/0.56 (define @t73 () (@list @t5)) % 0.39/0.56 (define @t74 () (or @t71 @t54 @t52 @t69 @t3)) % 0.39/0.56 (define @t75 () (forall @t73 @t74)) % 0.39/0.56 (define @t76 () (forall @t61 @t75)) % 0.39/0.56 (define @t77 () (forall (@list @t9 @t8 @t12 @t2 @t4 @t1 @t5) @t74)) % 0.39/0.56 (define @t78 () (or @t71 @t54 @t52 @t69)) % 0.39/0.56 (define @t79 () (and @t70 @t53 @t51 @t68)) % 0.39/0.56 (define @t80 () (+ @t8 @t12)) % 0.39/0.56 (assume @p1 @t21) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.39/0.56 (step @p4 :rule quant-unused-vars :args ((= (forall @t22 true) true))) % 0.39/0.56 (step @p5 :rule bool-or-taut2 :args (false @t3 false false)) % 0.39/0.56 (step @p6 :rule cong :premises (@p5) :args ((forall @t22 @t24))) % 0.39/0.56 (step @p7 :rule trans :premises (@p6 @p4)) % 0.39/0.56 (step @p8 :rule aci_norm :args ((= (or false @t23 @t3) @t24))) % 0.39/0.56 (step @p9 :rule refl :args (@t3)) % 0.39/0.56 (step @p10 :rule arith_poly_norm :args ((= (* 1 (- @t27 @t25)) (* -1 (- @t2 @t1))))) % 0.39/0.56 (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= @t28 @t3))) % 0.39/0.56 (step @p12 :rule cong :premises (@p11) :args (@t29)) % 0.39/0.56 (step @p13 :rule eq-refl :args (@t27)) % 0.39/0.56 (step @p14 :rule cong :premises (@p13) :args (@t30)) % 0.39/0.56 (step @p15 :rule trans :premises (@p14 @p3)) % 0.39/0.56 (step @p16 :rule nary_cong :premises (@p15 @p12 @p9) :args (@t31)) % 0.39/0.56 (step @p17 :rule trans :premises (@p16 @p8)) % 0.39/0.56 (step @p18 :rule cong :premises (@p17) :args ((forall @t22 @t31))) % 0.39/0.56 (step @p19 :rule trans :premises (@p18 @p7)) % 0.39/0.56 (step @p20 :rule quant-var-elim-eq :args ((= (forall @t36 @t35) @t31))) % 0.39/0.56 (step @p21 :rule aci_norm :args ((= @t37 @t35))) % 0.39/0.56 (step @p22 :rule cong :premises (@p21) :args (@t38)) % 0.39/0.56 (step @p23 :rule trans :premises (@p22 @p20)) % 0.39/0.56 (step @p24 :rule cong :premises (@p23) :args (@t39)) % 0.39/0.56 (step @p25 :rule quant-merge-prenex :args ((= @t39 @t40))) % 0.39/0.56 (step @p26 :rule symm :premises (@p25)) % 0.39/0.56 (step @p27 :rule quant_var_reordering :args ((= (forall @t41 @t37) @t40))) % 0.39/0.56 (step @p28 :rule trans :premises (@p27 @p26 @p24)) % 0.39/0.56 (step @p29 :rule trans :premises (@p28 @p19)) % 0.39/0.56 (step @p30 :rule aci_norm :args ((= (or false @t34 @t33 @t3) @t37))) % 0.39/0.56 (step @p31 :rule refl :args (@t33)) % 0.39/0.56 (step @p32 :rule arith_poly_norm :args ((= (+ @t42 @t4) @t27))) % 0.39/0.56 (step @p33 :rule refl :args (@t4)) % 0.39/0.56 (step @p34 :rule arith_poly_norm :args ((= @t44 @t42))) % 0.39/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t45)) % 0.39/0.56 (step @p36 :rule trans :premises (@p35 @p32)) % 0.39/0.56 (step @p37 :rule refl :args (@t9)) % 0.39/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args (@t46)) % 0.39/0.56 (step @p39 :rule cong :premises (@p38) :args (@t47)) % 0.39/0.56 (step @p40 :rule eq-refl :args (@t43)) % 0.39/0.56 (step @p41 :rule cong :premises (@p40) :args (@t48)) % 0.39/0.56 (step @p42 :rule trans :premises (@p41 @p3)) % 0.39/0.56 (step @p43 :rule nary_cong :premises (@p42 @p39 @p31 @p9) :args (@t49)) % 0.39/0.56 (step @p44 :rule trans :premises (@p43 @p30)) % 0.39/0.56 (step @p45 :rule cong :premises (@p44) :args ((forall @t41 @t49))) % 0.39/0.56 (step @p46 :rule trans :premises (@p45 @p29)) % 0.39/0.56 (step @p47 :rule quant-var-elim-eq :args ((= (forall @t56 @t55) @t49))) % 0.39/0.56 (step @p48 :rule aci_norm :args ((= @t57 @t55))) % 0.39/0.56 (step @p49 :rule cong :premises (@p48) :args (@t58)) % 0.39/0.56 (step @p50 :rule trans :premises (@p49 @p47)) % 0.39/0.56 (step @p51 :rule cong :premises (@p50) :args (@t59)) % 0.39/0.56 (step @p52 :rule quant-merge-prenex :args ((= @t59 @t60))) % 0.39/0.56 (step @p53 :rule symm :premises (@p52)) % 0.39/0.56 (step @p54 :rule quant_var_reordering :args ((= (forall @t61 @t57) @t60))) % 0.39/0.56 (step @p55 :rule trans :premises (@p54 @p53 @p51)) % 0.39/0.56 (step @p56 :rule trans :premises (@p55 @p46)) % 0.39/0.56 (step @p57 :rule aci_norm :args ((= (or false @t54 @t52 @t33 @t3) @t57))) % 0.39/0.56 (step @p58 :rule arith_poly_norm :args ((= (* 1 (- @t63 @t62)) (* -1 (- @t9 @t25))))) % 0.39/0.56 (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args ((= @t64 @t32))) % 0.39/0.56 (step @p60 :rule cong :premises (@p59) :args (@t65)) % 0.39/0.56 (step @p61 :rule refl :args (@t52)) % 0.39/0.56 (step @p62 :rule refl :args (@t54)) % 0.39/0.56 (step @p63 :rule eq-refl :args (@t63)) % 0.39/0.56 (step @p64 :rule cong :premises (@p63) :args (@t66)) % 0.39/0.56 (step @p65 :rule trans :premises (@p64 @p3)) % 0.39/0.56 (step @p66 :rule nary_cong :premises (@p65 @p62 @p61 @p60 @p9) :args (@t67)) % 0.39/0.56 (step @p67 :rule trans :premises (@p66 @p57)) % 0.39/0.56 (step @p68 :rule cong :premises (@p67) :args ((forall @t61 @t67))) % 0.39/0.56 (step @p69 :rule trans :premises (@p68 @p56)) % 0.39/0.56 (step @p70 :rule quant-var-elim-eq :args ((= (forall @t73 @t72) @t67))) % 0.39/0.56 (step @p71 :rule aci_norm :args ((= @t74 @t72))) % 0.39/0.56 (step @p72 :rule cong :premises (@p71) :args (@t75)) % 0.39/0.56 (step @p73 :rule trans :premises (@p72 @p70)) % 0.39/0.56 (step @p74 :rule cong :premises (@p73) :args (@t76)) % 0.39/0.56 (step @p75 :rule quant-merge-prenex :args ((= @t76 @t77))) % 0.39/0.56 (step @p76 :rule symm :premises (@p75)) % 0.39/0.56 (step @p77 :rule quant_var_reordering :args ((= (forall @t19 @t74) @t77))) % 0.39/0.56 (step @p78 :rule trans :premises (@p77 @p76 @p74)) % 0.39/0.56 (step @p79 :rule trans :premises (@p78 @p69)) % 0.39/0.56 (step @p80 :rule aci_norm :args ((= (or @t78 @t3) @t74))) % 0.39/0.56 (step @p81 :rule refl :args (@t3)) % 0.39/0.56 (step @p82 :rule aci_norm :args ((= (or @t71 (or @t54 (or @t52 @t69))) @t78))) % 0.39/0.56 (step @p83 :rule bool-and-de-morgan :args (@t51 @t68 true)) % 0.39/0.56 (step @p84 :rule refl :args (@t54)) % 0.39/0.56 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t54 (not (and @t51 @t68))))) % 0.39/0.56 (step @p86 :rule bool-and-de-morgan :args (@t53 @t51 (and @t68))) % 0.39/0.56 (step @p87 :rule trans :premises (@p86 @p85)) % 0.39/0.56 (step @p88 :rule refl :args (@t71)) % 0.39/0.56 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t71 (not (and @t53 @t51 @t68))))) % 0.39/0.56 (step @p90 :rule bool-and-de-morgan :args (@t70 @t53 (and @t51 @t68))) % 0.39/0.56 (step @p91 :rule trans :premises (@p90 @p89)) % 0.39/0.56 (step @p92 :rule trans :premises (@p91 @p82)) % 0.39/0.56 (step @p93 :rule nary_cong :premises (@p92 @p81) :args ((or (not @t79) @t3))) % 0.39/0.56 (step @p94 :rule trans :premises (@p93 @p80)) % 0.39/0.56 (step @p95 :rule bool-impl-elim :args (@t79 @t3)) % 0.39/0.56 (step @p96 :rule trans :premises (@p95 @p94)) % 0.39/0.56 (step @p97 :rule cong :premises (@p96) :args ((forall @t19 (=> @t79 @t3)))) % 0.39/0.56 (step @p98 :rule trans :premises (@p97 @p79)) % 0.39/0.56 (step @p99 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t1)) (* 1 (- @t5 @t62))))) % 0.39/0.56 (step @p100 :rule arith_poly_norm_rel :premises (@p99) :args ((= @t7 @t68))) % 0.39/0.56 (step @p101 :rule arith_poly_norm :args ((= (* 1 (- @t10 @t4)) (* 1 (- @t9 @t50))))) % 0.39/0.56 (step @p102 :rule arith_poly_norm_rel :premises (@p101) :args ((= @t11 @t51))) % 0.39/0.56 (step @p103 :rule arith_poly_norm :args ((= (* 1 (- @t80 @t2)) (* 1 (- @t8 @t43))))) % 0.39/0.56 (step @p104 :rule arith_poly_norm_rel :premises (@p103) :args ((= (= @t80 @t2) @t53))) % 0.39/0.56 (step @p105 :rule refl :args (@t2)) % 0.39/0.56 (step @p106 :rule arith_poly_norm :args ((= @t13 @t80))) % 0.39/0.56 (step @p107 :rule cong :premises (@p106 @p105) :args (@t14)) % 0.39/0.56 (step @p108 :rule trans :premises (@p107 @p104)) % 0.39/0.56 (step @p109 :rule arith_poly_norm :args ((= (* 1 (- @t15 @t12)) (* 1 (- @t5 @t63))))) % 0.39/0.56 (step @p110 :rule arith_poly_norm_rel :premises (@p109) :args ((= @t16 @t70))) % 0.39/0.56 (step @p111 :rule nary_cong :premises (@p110 @p108 @p102 @p100) :args (@t17)) % 0.39/0.56 (step @p112 :rule cong :premises (@p111 @p9) :args (@t18)) % 0.39/0.56 (step @p113 :rule cong :premises (@p112) :args (@t20)) % 0.39/0.56 (step @p114 :rule trans :premises (@p113 @p98)) % 0.39/0.56 (step @p115 :rule cong :premises (@p114) :args (@t21)) % 0.39/0.56 (step @p116 :rule trans :premises (@p115 @p3)) % 0.39/0.56 (step @p117 false :rule eq_resolve :premises (@p1 @p116)) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------