%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI671_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:08:06 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.56s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI671_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:31:59 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.33/0.52 --- Run --finite-model-find --decision=internal at 45... % 0.33/0.56 % SZS status Unsatisfiable % 0.33/0.56 % SZS output start Proof % 0.40/0.61 ( % 0.40/0.61 (declare-const tptp.a Int) % 0.40/0.61 (define @t1 () (* tptp.a tptp.a)) % 0.40/0.61 (define @t2 () (= @t1 2)) % 0.40/0.61 (define @t3 () (* tptp.a tptp.a)) % 0.40/0.61 (define @t4 () (= @t3 -1)) % 0.40/0.61 (define @t5 () (= -1 @t3)) % 0.40/0.61 (define @t6 () (= @t3 1)) % 0.40/0.61 (define @t7 () (= 1 @t3)) % 0.40/0.61 (define @t8 () (or @t6 @t4)) % 0.40/0.61 (define @t9 () (not @t8)) % 0.40/0.61 (define @t10 () (- 1)) % 0.40/0.61 (define @t11 () (= @t3 @t10)) % 0.40/0.61 (define @t12 () (or @t6 @t11)) % 0.40/0.61 (define @t13 () (= tptp.a @t10)) % 0.40/0.61 (define @t14 () (= tptp.a 1)) % 0.40/0.61 (define @t15 () (or @t14 @t13)) % 0.40/0.61 (define @t16 () (abs 1)) % 0.40/0.61 (define @t17 () (abs @t3)) % 0.40/0.61 (define @t18 () (* 1 1)) % 0.40/0.61 (define @t19 () (abs @t18)) % 0.40/0.61 (define @t20 () (= tptp.a -1)) % 0.40/0.61 (define @t21 () (or @t14 @t20)) % 0.40/0.61 (define @t22 () (not @t21)) % 0.40/0.61 (define @t23 () (@list true)) % 0.40/0.61 (define @t24 () (not @t14)) % 0.40/0.61 (define @t25 () (@list @t21)) % 0.40/0.61 (define @t26 () (= @t3 0)) % 0.40/0.61 (define @t27 () (= 0 @t3)) % 0.40/0.61 (define @t28 () (= tptp.a 0)) % 0.40/0.61 (define @t29 () (* 0 0)) % 0.40/0.61 (define @t30 () (not @t28)) % 0.40/0.61 (define @t31 () (>= tptp.a 0)) % 0.40/0.61 (define @t32 () (not @t31)) % 0.40/0.61 (define @t33 () (>= tptp.a 1)) % 0.40/0.61 (define @t34 () (not @t33)) % 0.40/0.61 (define @t35 () (not @t34)) % 0.40/0.61 (define @t36 () (not @t30)) % 0.40/0.61 (define @t37 () (and @t30 @t34)) % 0.40/0.61 (define @t38 () (not @t20)) % 0.40/0.61 (define @t39 () (>= tptp.a -1)) % 0.40/0.61 (define @t40 () (not @t39)) % 0.40/0.61 (define @t41 () (and @t30 @t34 @t38)) % 0.40/0.61 (define @t42 () (>= tptp.a 2)) % 0.40/0.61 (define @t43 () (ite @t31 @t42 @t40)) % 0.40/0.61 (define @t44 () (not @t40)) % 0.40/0.61 (define @t45 () (+ tptp.a @t3)) % 0.40/0.61 (define @t46 () (>= @t45 1)) % 0.40/0.61 (define @t47 () (not @t46)) % 0.40/0.61 (define @t48 () (= @t3 2)) % 0.40/0.61 (define @t49 () (not @t48)) % 0.40/0.61 (define @t50 () (not true)) % 0.40/0.61 (define @t51 () (>= 0 0)) % 0.40/0.61 (define @t52 () (* -1 1)) % 0.40/0.61 (define @t53 () (+ @t52 2 -1)) % 0.40/0.61 (define @t54 () (* -1 @t3)) % 0.40/0.61 (define @t55 () (* -1 tptp.a)) % 0.40/0.61 (define @t56 () (+ @t55 @t54)) % 0.40/0.61 (define @t57 () (* -1 @t45)) % 0.40/0.61 (define @t58 () (+ @t57 @t3 tptp.a)) % 0.40/0.61 (define @t59 () (>= @t58 @t53)) % 0.40/0.61 (define @t60 () (< -1 0)) % 0.40/0.61 (define @t61 () (and @t40 @t48 @t46)) % 0.40/0.61 (define @t62 () (not @t43)) % 0.40/0.61 (define @t63 () (and @t43 @t30)) % 0.40/0.61 (define @t64 () (+ tptp.a @t54)) % 0.40/0.61 (define @t65 () (>= @t64 0)) % 0.40/0.61 (define @t66 () (not @t65)) % 0.40/0.61 (define @t67 () (ite @t31 @t66 @t46)) % 0.40/0.61 (define @t68 () (not @t67)) % 0.40/0.61 (define @t69 () (>= @t64 1)) % 0.40/0.62 (define @t70 () (+ @t55 1)) % 0.40/0.62 (define @t71 () (>= @t54 @t70)) % 0.40/0.62 (define @t72 () (- tptp.a)) % 0.40/0.62 (define @t73 () (- @t3)) % 0.40/0.62 (define @t74 () (<= @t73 @t72)) % 0.40/0.62 (define @t75 () (>= @t45 0)) % 0.40/0.62 (define @t76 () (<= @t73 tptp.a)) % 0.40/0.62 (define @t77 () (ite @t31 (> @t73 tptp.a) (> @t73 @t72))) % 0.40/0.62 (define @t78 () (>= @t3 @t70)) % 0.40/0.62 (define @t79 () (<= @t3 @t72)) % 0.40/0.62 (define @t80 () (>= tptp.a @t3)) % 0.40/0.62 (define @t81 () (ite @t31 (> @t3 tptp.a) (> @t3 @t72))) % 0.40/0.62 (define @t82 () (>= @t3 0)) % 0.40/0.62 (define @t83 () (ite @t82 @t81 @t77)) % 0.40/0.62 (define @t84 () (<= @t72 @t10)) % 0.40/0.62 (define @t85 () (<= @t72 1)) % 0.40/0.62 (define @t86 () (>= 1 0)) % 0.40/0.62 (define @t87 () (ite @t86 (> @t72 1) (> @t72 @t10))) % 0.40/0.62 (define @t88 () (+ -1 1)) % 0.40/0.62 (define @t89 () (>= tptp.a @t88)) % 0.40/0.62 (define @t90 () (<= tptp.a @t10)) % 0.40/0.62 (define @t91 () (+ 1 1)) % 0.40/0.62 (define @t92 () (>= tptp.a @t91)) % 0.40/0.62 (define @t93 () (ite @t86 (> tptp.a 1) (> tptp.a @t10))) % 0.40/0.62 (define @t94 () (ite @t31 @t93 @t87)) % 0.40/0.62 (define @t95 () (and @t94 @t30)) % 0.40/0.62 (define @t96 () (abs tptp.a)) % 0.40/0.62 (define @t97 () (+ @t96 (* -1 @t17))) % 0.40/0.62 (define @t98 () (>= @t96 @t17)) % 0.40/0.62 (define @t99 () (* 1 tptp.a)) % 0.40/0.62 (define @t100 () (abs @t99)) % 0.40/0.62 (define @t101 () (<= @t17 @t100)) % 0.40/0.62 (define @t102 () (ite @t82 @t67 (ite @t31 (not @t75) @t69))) % 0.40/0.62 (define @t103 () (not @t82)) % 0.40/0.62 (define @t104 () (>= @t3 @t88)) % 0.40/0.62 (define @t105 () (<= @t3 -1)) % 0.40/0.62 (define @t106 () (* -1 2)) % 0.40/0.62 (define @t107 () (+ -1 @t106)) % 0.40/0.62 (define @t108 () (+ @t3 @t54)) % 0.40/0.62 (define @t109 () (and @t103 @t48)) % 0.40/0.62 (define @t110 () (@list false)) % 0.40/0.62 (define @t111 () (not @t102)) % 0.40/0.62 (define @t112 () (not @t24)) % 0.40/0.62 (define @t113 () (and @t33 @t24)) % 0.40/0.62 (define @t114 () (+ 0 1)) % 0.40/0.62 (define @t115 () (>= tptp.a @t114)) % 0.40/0.62 (define @t116 () (<= tptp.a 0)) % 0.40/0.62 (define @t117 () (not @t116)) % 0.40/0.62 (define @t118 () (* -1 0)) % 0.40/0.62 (define @t119 () (+ @t118 0)) % 0.40/0.62 (define @t120 () (+ @t55 tptp.a)) % 0.40/0.62 (define @t121 () (>= @t120 @t119)) % 0.40/0.62 (define @t122 () (@list false false)) % 0.40/0.62 (define @t123 () (@list true false)) % 0.40/0.62 (define @t124 () (+ 0 2 @t106)) % 0.40/0.62 (define @t125 () (+ @t54 @t55 @t3 tptp.a)) % 0.40/0.62 (define @t126 () (+ @t64 @t3 @t55)) % 0.40/0.62 (define @t127 () (>= @t126 @t124)) % 0.40/0.62 (assume @p1 @t2) % 0.40/0.62 (step @p2 :rule bool-eq-false :args (@t4)) % 0.40/0.62 (step @p3 :rule symm :premises (@p2)) % 0.40/0.62 (step @p4 :rule arith_poly_norm :args ((= (* 1 (- -1 @t3)) (* -1 (- @t3 -1))))) % 0.40/0.62 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= @t5 @t4))) % 0.40/0.62 (step @p6 :rule cong :premises (@p5) :args ((not @t5))) % 0.40/0.62 (step @p7 :rule bool-eq-false :args (@t5)) % 0.40/0.62 (step @p8 :rule trans :premises (@p7 @p6)) % 0.40/0.62 (step @p9 :rule trans :premises (@p8 @p3)) % 0.40/0.62 (step @p10 :rule evaluate :args ((= -1 2))) % 0.40/0.62 (step @p11 :rule refl :args (2)) % 0.40/0.62 (step @p12 :rule arith_poly_norm :args ((= @t1 @t3))) % 0.40/0.62 (step @p13 :rule cong :premises (@p12 @p11) :args (@t2)) % 0.40/0.62 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 0.40/0.62 (step @p15 :rule refl :args (-1)) % 0.40/0.62 (step @p16 :rule cong :premises (@p15 @p14) :args (@t5)) % 0.40/0.62 (step @p17 :rule trans :premises (@p16 @p10)) % 0.40/0.62 (step @p18 :rule eq_resolve :premises (@p17 @p9)) % 0.40/0.62 (step @p19 :rule false_elim :premises (@p18)) % 0.40/0.62 (step @p20 :rule bool-eq-false :args (@t6)) % 0.40/0.62 (step @p21 :rule symm :premises (@p20)) % 0.40/0.62 (step @p22 :rule arith_poly_norm :args ((= (* -1 (- 1 @t3)) (* 1 (- @t3 1))))) % 0.40/0.62 (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= @t7 @t6))) % 0.40/0.62 (step @p24 :rule cong :premises (@p23) :args ((not @t7))) % 0.40/0.62 (step @p25 :rule bool-eq-false :args (@t7)) % 0.40/0.62 (step @p26 :rule trans :premises (@p25 @p24)) % 0.40/0.62 (step @p27 :rule trans :premises (@p26 @p21)) % 0.40/0.62 (step @p28 :rule evaluate :args ((= 1 2))) % 0.40/0.62 (step @p29 :rule refl :args (1)) % 0.40/0.62 (step @p30 :rule cong :premises (@p29 @p14) :args (@t7)) % 0.40/0.62 (step @p31 :rule trans :premises (@p30 @p28)) % 0.40/0.62 (step @p32 :rule eq_resolve :premises (@p31 @p27)) % 0.40/0.62 (step @p33 :rule false_elim :premises (@p32)) % 0.40/0.62 (step @p34 :rule cnf_or_pos :args (@t8)) % 0.40/0.62 (step @p35 :rule reordering :premises (@p34) :args ((or @t6 @t4 @t9))) % 0.40/0.62 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p19) :args (@t9 (@list true true) (@list @t6 @t4))) % 0.40/0.62 (step @p37 :rule evaluate :args (@t10)) % 0.40/0.62 (step @p38 :rule refl :args (@t3)) % 0.40/0.62 (step @p39 :rule cong :premises (@p38 @p37) :args (@t11)) % 0.40/0.62 (step @p40 :rule refl :args (@t6)) % 0.40/0.62 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t12)) % 0.40/0.62 (step @p42 :rule refl :args (tptp.a)) % 0.40/0.62 (step @p43 :rule cong :premises (@p42 @p37) :args (@t13)) % 0.40/0.62 (step @p44 :rule refl :args (@t14)) % 0.40/0.62 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t15)) % 0.40/0.62 (step @p46 :rule cong :premises (@p45 @p41) :args ((=> @t15 @t12))) % 0.40/0.62 (assume-push @p580 @t15) % 0.40/0.62 (step @p48 :rule arith-abs-eq :args (@t3 1)) % 0.40/0.62 (step @p49 :rule evaluate :args (@t16)) % 0.40/0.62 (step @p50 :rule refl :args (@t17)) % 0.40/0.62 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t17 @t16))) % 0.40/0.62 (step @p52 :rule symm :premises (@p51)) % 0.40/0.62 (step @p53 :rule evaluate :args (@t18)) % 0.40/0.62 (step @p54 :rule cong :premises (@p53) :args (@t19)) % 0.40/0.62 (step @p55 :rule trans :premises (@p54 @p49)) % 0.40/0.62 (step @p56 :rule cong :premises (@p50 @p55) :args ((= @t17 @t19))) % 0.40/0.62 (step @p57 :rule trans :premises (@p56 @p52)) % 0.40/0.62 (step @p58 :rule arith-abs-eq :args (tptp.a 1)) % 0.40/0.62 (step @p59 :rule symm :premises (@p58)) % 0.40/0.62 (step @p60 :rule eq_resolve :premises (@p580 @p59)) % 0.40/0.62 (step @p61 :rule arith_mult_abs_comparison :premises (@p60 @p60)) % 0.40/0.62 (step @p62 :rule eq_resolve :premises (@p61 @p57)) % 0.40/0.62 (step @p63 :rule eq_resolve :premises (@p62 @p48)) % 0.40/0.62 (step-pop @p581 :rule scope :premises (@p63)) % 0.40/0.62 (step @p64 :rule process_scope :premises (@p581) :args (@t12)) % 0.40/0.62 (step @p66 :rule eq_resolve :premises (@p64 @p46)) % 0.40/0.62 (step @p67 :rule implies_elim :premises (@p66)) % 0.40/0.62 (step @p68 :rule reordering :premises (@p67) :args ((or @t8 @t22))) % 0.40/0.62 (step @p69 :rule chain_m_resolution :premises (@p68 @p36) :args (@t22 @t23 (@list @t8))) % 0.40/0.62 (step @p70 :rule cnf_or_neg :args (@t21 0)) % 0.40/0.62 (step @p71 :rule chain_m_resolution :premises (@p70 @p69) :args (@t24 @t23 @t25)) % 0.40/0.62 (step @p72 :rule bool-eq-false :args (@t26)) % 0.40/0.62 (step @p73 :rule symm :premises (@p72)) % 0.40/0.62 (step @p74 :rule arith_poly_norm :args ((= (* 1 (- 0 @t3)) (* -1 (- @t3 0))))) % 0.40/0.62 (step @p75 :rule arith_poly_norm_rel :premises (@p74) :args ((= @t27 @t26))) % 0.40/0.62 (step @p76 :rule cong :premises (@p75) :args ((not @t27))) % 0.40/0.62 (step @p77 :rule bool-eq-false :args (@t27)) % 0.40/0.62 (step @p78 :rule trans :premises (@p77 @p76)) % 0.40/0.62 (step @p79 :rule trans :premises (@p78 @p73)) % 0.40/0.62 (step @p80 :rule evaluate :args ((= 0 2))) % 0.40/0.62 (step @p81 :rule refl :args (0)) % 0.40/0.62 (step @p82 :rule cong :premises (@p81 @p14) :args (@t27)) % 0.40/0.62 (step @p83 :rule trans :premises (@p82 @p80)) % 0.40/0.62 (step @p84 :rule eq_resolve :premises (@p83 @p79)) % 0.40/0.62 (step @p85 :rule false_elim :premises (@p84)) % 0.40/0.62 (assume-push @p582 @t28) % 0.40/0.62 (step @p87 :rule evaluate :args ((= 0 0))) % 0.40/0.62 (step @p88 :rule evaluate :args (@t29)) % 0.40/0.62 (step @p89 :rule cong :premises (@p88 @p81) :args ((= @t29 0))) % 0.40/0.62 (step @p90 :rule trans :premises (@p89 @p87)) % 0.40/0.62 (step @p91 :rule nary_cong :premises (@p582 @p582) :args (@t3)) % 0.40/0.62 (step @p92 :rule cong :premises (@p91 @p81) :args (@t26)) % 0.40/0.62 (step @p93 :rule trans :premises (@p92 @p90)) % 0.40/0.62 (step @p94 :rule true_elim :premises (@p93)) % 0.40/0.62 (step-pop @p583 :rule scope :premises (@p94)) % 0.40/0.62 (step @p95 :rule process_scope :premises (@p583) :args (@t26)) % 0.40/0.62 (step @p97 :rule implies_elim :premises (@p95)) % 0.40/0.62 (step @p98 :rule reordering :premises (@p97) :args ((or @t26 @t30))) % 0.40/0.62 (step @p99 :rule chain_m_resolution :premises (@p98 @p85) :args (@t30 @t23 (@list @t26))) % 0.40/0.62 (step @p100 :rule refl :args (@t32)) % 0.40/0.62 (step @p101 :rule bool-double-not-elim :args (@t33)) % 0.40/0.62 (step @p102 :rule bool-double-not-elim :args (@t28)) % 0.40/0.62 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args ((or @t36 @t35 @t32))) % 0.40/0.62 (assume-push @p584 @t30) % 0.40/0.62 (assume-push @p585 @t34) % 0.40/0.62 (assume-push @p586 @t30) % 0.40/0.62 (assume-push @p587 @t34) % 0.40/0.62 (step @p108 :rule arith-elim-lt :args (tptp.a 0)) % 0.40/0.62 (step @p109 :rule arith-elim-lt :args (tptp.a 1)) % 0.40/0.62 (step @p110 :rule symm :premises (@p109)) % 0.40/0.62 (step @p111 :rule eq_resolve :premises (@p585 @p110)) % 0.40/0.62 (step @p112 :rule int_tight_ub :premises (@p111)) % 0.40/0.62 (step @p113 :rule arith_trichotomy :premises (@p584 @p112)) % 0.40/0.62 (step @p114 :rule eq_resolve :premises (@p113 @p108)) % 0.40/0.62 (step-pop @p588 :rule scope :premises (@p114)) % 0.40/0.62 (step-pop @p589 :rule scope :premises (@p588)) % 0.40/0.62 (step @p115 :rule process_scope :premises (@p589) :args (@t32)) % 0.40/0.62 (step @p118 :rule and_intro :premises (@p584 @p585)) % 0.40/0.62 (step @p119 :rule modus_ponens :premises (@p118 @p115)) % 0.40/0.62 (step-pop @p590 :rule scope :premises (@p119)) % 0.40/0.62 (step-pop @p591 :rule scope :premises (@p590)) % 0.40/0.62 (step @p120 :rule process_scope :premises (@p591) :args (@t32)) % 0.40/0.62 (step @p123 :rule 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:rule symm :premises (@p561)) % 0.40/0.62 (step @p563 :rule eq_resolve :premises (@p647 @p562)) % 0.40/0.62 (step @p564 :rule arith_sum_ub :premises (@p563 @p14 @p560)) % 0.40/0.62 (step @p565 false :rule eq_resolve :premises (@p564 @p555)) % 0.40/0.62 (step-pop @p648 :rule scope :premises (@p565)) % 0.40/0.62 (step-pop @p649 :rule scope :premises (@p648)) % 0.40/0.62 (step-pop @p650 :rule scope :premises (@p649)) % 0.40/0.62 (step-pop @p651 :rule scope :premises (@p650)) % 0.40/0.62 (step @p566 :rule process_scope :premises (@p651) :args (false)) % 0.40/0.62 (step @p571 :rule not_and :premises (@p566)) % 0.40/0.62 (step @p572 :rule eq_resolve :premises (@p571 @p539)) % 0.40/0.62 (step @p573 :rule reordering :premises (@p572) :args ((or @t49 @t34 @t14 @t65))) % 0.40/0.62 (step @p574 :rule chain_m_resolution :premises (@p573 @p14 @p460 @p71) :args (@t65 (@list false false true) (@list @t48 @t33 @t14))) % 0.40/0.62 (step @p575 :rule cnf_ite_pos1 :args (@t67)) % 0.40/0.62 (step @p576 :rule reordering :premises (@p575) :args ((or @t32 @t66 @t68))) % 0.40/0.62 (step @p577 :rule chain_m_resolution :premises (@p576 @p533 @p574) :args (@t68 @t122 (@list @t31 @t65))) % 0.40/0.62 (step @p578 :rule chain_m_resolution :premises (@p459 @p577 @p457) :args (@t111 @t123 (@list @t67 @t82))) % 0.40/0.62 (step @p579 false :rule chain_m_resolution :premises (@p398 @p578 @p537) :args (false @t123 (@list @t102 @t63))) % 0.40/0.62 ) % 0.40/0.62 % SZS output end Proof % 0.40/0.62 % cvc5 exiting %------------------------------------------------------------------------------