%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI621_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:08:00 AM UTC 2026 % Result : Theorem 0.40s 0.61s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI621_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:31:21 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 0.40/0.61 --- Run --finite-model-find --decision=internal at 45... % 0.40/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.40/0.61 % SZS status Theorem % 0.40/0.61 % SZS output start Proof % 0.40/0.61 ( % 0.40/0.61 (declare-const tptp.pow2 (-> Int Bool)) % 0.40/0.61 (define @t1 () (tptp.pow2 12)) % 0.40/0.61 (define @t2 () (not @t1)) % 0.40/0.61 (define @t3 () (@var "Y" Int)) % 0.40/0.61 (define @t4 () (tptp.pow2 @t3)) % 0.40/0.61 (define @t5 () (@var "X" Int)) % 0.40/0.61 (define @t6 () (* 2 @t3)) % 0.40/0.61 (define @t7 () (= @t6 @t5)) % 0.40/0.61 (define @t8 () (and @t7 @t4)) % 0.40/0.61 (define @t9 () (@list @t3)) % 0.40/0.61 (define @t10 () (exists @t9 @t8)) % 0.40/0.61 (define @t11 () (and (<= 2 @t5) @t10)) % 0.40/0.61 (define @t12 () (= @t5 1)) % 0.40/0.61 (define @t13 () (or @t12 @t11)) % 0.40/0.61 (define @t14 () (tptp.pow2 @t5)) % 0.40/0.61 (define @t15 () (= @t14 @t13)) % 0.40/0.61 (define @t16 () (@list @t5)) % 0.40/0.61 (define @t17 () (forall @t16 @t15)) % 0.40/0.61 (define @t18 () (=> @t17 @t2)) % 0.40/0.61 (define @t19 () (not @t18)) % 0.40/0.61 (define @t20 () (= @t5 @t6)) % 0.40/0.61 (define @t21 () (and @t20 @t4)) % 0.40/0.61 (define @t22 () (forall @t9 (not @t21))) % 0.40/0.61 (define @t23 () (not @t22)) % 0.40/0.61 (define @t24 () (tptp.pow2 3)) % 0.40/0.61 (define @t25 () (not @t24)) % 0.40/0.61 (define @t26 () (= 3 3)) % 0.40/0.61 (define @t27 () (not @t26)) % 0.40/0.61 (define @t28 () (or @t27 @t25)) % 0.40/0.61 (define @t29 () (not @t4)) % 0.40/0.61 (define @t30 () (= @t3 3)) % 0.40/0.61 (define @t31 () (not @t30)) % 0.40/0.61 (define @t32 () (or @t31 @t31 @t29)) % 0.40/0.61 (define @t33 () (or @t31 @t29)) % 0.40/0.61 (define @t34 () (= 6 @t6)) % 0.40/0.61 (define @t35 () (not @t34)) % 0.40/0.61 (define @t36 () (or @t35 @t29)) % 0.40/0.61 (define @t37 () (forall @t9 @t36)) % 0.40/0.61 (define @t38 () (not @t37)) % 0.40/0.61 (define @t39 () (>= 6 2)) % 0.40/0.61 (define @t40 () (and @t39 @t38)) % 0.40/0.61 (define @t41 () (= 6 1)) % 0.40/0.61 (define @t42 () (or @t41 @t40)) % 0.40/0.61 (define @t43 () (tptp.pow2 6)) % 0.40/0.61 (define @t44 () (= @t43 @t42)) % 0.40/0.61 (define @t45 () (forall @t16 (= @t14 (or @t12 (and (>= @t5 2) (not (forall @t9 (or (not @t20) @t29)))))))) % 0.40/0.61 (define @t46 () (= @t43 @t24)) % 0.40/0.61 (define @t47 () (@list false)) % 0.40/0.61 (define @t48 () (@list @t45)) % 0.40/0.61 (define @t49 () (not @t43)) % 0.40/0.61 (define @t50 () (= 6 6)) % 0.40/0.61 (define @t51 () (not @t50)) % 0.40/0.61 (define @t52 () (or @t51 @t49)) % 0.40/0.61 (define @t53 () (= @t3 6)) % 0.40/0.61 (define @t54 () (not @t53)) % 0.40/0.61 (define @t55 () (or @t54 @t54 @t29)) % 0.40/0.61 (define @t56 () (or @t54 @t29)) % 0.40/0.61 (define @t57 () (= 12 @t6)) % 0.40/0.61 (define @t58 () (not @t57)) % 0.40/0.61 (define @t59 () (or @t58 @t29)) % 0.40/0.61 (define @t60 () (forall @t9 @t59)) % 0.40/0.61 (define @t61 () (not @t60)) % 0.40/0.61 (define @t62 () (>= 12 2)) % 0.40/0.61 (define @t63 () (and @t62 @t61)) % 0.40/0.61 (define @t64 () (= 12 1)) % 0.40/0.61 (define @t65 () (or @t64 @t63)) % 0.40/0.61 (define @t66 () (= @t1 @t65)) % 0.40/0.61 (define @t67 () (= @t1 @t43)) % 0.40/0.61 (define @t68 () (@list false false)) % 0.40/0.61 (define @t69 () (* -1 @t3)) % 0.40/0.61 (define @t70 () (to_real @t69)) % 0.40/0.61 (define @t71 () (to_real @t6)) % 0.40/0.61 (define @t72 () (to_real 3)) % 0.40/0.61 (define @t73 () (- @t72 @t71)) % 0.40/0.61 (define @t74 () (= @t72 @t71)) % 0.40/0.61 (define @t75 () (= 3 @t6)) % 0.40/0.61 (define @t76 () (not @t75)) % 0.40/0.61 (define @t77 () (or @t76 @t29)) % 0.40/0.61 (define @t78 () (forall @t9 @t77)) % 0.40/0.61 (define @t79 () (not @t78)) % 0.40/0.61 (define @t80 () (>= 3 2)) % 0.40/0.61 (define @t81 () (and @t80 @t79)) % 0.40/0.61 (define @t82 () (= 3 1)) % 0.40/0.61 (define @t83 () (or @t82 @t81)) % 0.40/0.61 (define @t84 () (= @t24 @t83)) % 0.40/0.61 (assume @p1 @t19) % 0.40/0.61 (assume @p2 true) % 0.40/0.61 (step @p3 :rule refl :args (@t2)) % 0.40/0.61 (step @p4 :rule bool-and-de-morgan :args (@t20 @t4 true)) % 0.40/0.61 (step @p5 :rule cong :premises (@p4) :args (@t22)) % 0.40/0.61 (step @p6 :rule cong :premises (@p5) :args (@t23)) % 0.40/0.61 (step @p7 :rule exists-elim :args ((= (exists @t9 @t21) @t23))) % 0.40/0.61 (step @p8 :rule trans :premises (@p7 @p6)) % 0.40/0.61 (step @p9 :rule refl :args (@t4)) % 0.40/0.61 (step @p10 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t5)) (* -1 (- @t5 @t6))))) % 0.40/0.61 (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= @t7 @t20))) % 0.40/0.61 (step @p12 :rule nary_cong :premises (@p11 @p9) :args (@t8)) % 0.40/0.61 (step @p13 :rule cong :premises (@p12) :args (@t10)) % 0.40/0.61 (step @p14 :rule trans :premises (@p13 @p8)) % 0.40/0.61 (step @p15 :rule arith-elim-leq :args (2 @t5)) % 0.40/0.61 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t11)) % 0.40/0.61 (step @p17 :rule refl :args (@t12)) % 0.40/0.61 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t13)) % 0.40/0.61 (step @p19 :rule refl :args (@t14)) % 0.40/0.61 (step @p20 :rule cong :premises (@p19 @p18) :args (@t15)) % 0.40/0.61 (step @p21 :rule cong :premises (@p20) :args (@t17)) % 0.40/0.61 (step @p22 :rule cong :premises (@p21 @p3) :args (@t18)) % 0.40/0.61 (step @p23 :rule cong :premises (@p22) :args (@t19)) % 0.40/0.61 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.40/0.61 (step @p25 :rule not_implies_elim1 :premises (@p24)) % 0.40/0.61 (step @p26 :rule aci_norm :args ((= (or false @t24) @t24))) % 0.40/0.61 (step @p27 :rule aci_norm :args ((= (and true @t24) @t24))) % 0.40/0.61 (step @p28 :rule bool-double-not-elim :args (@t24)) % 0.40/0.61 (step @p29 :rule aci_norm :args ((= (or false @t25) @t25))) % 0.40/0.61 (step @p30 :rule refl :args (@t25)) % 0.40/0.61 (step @p31 :rule evaluate :args ((not true))) % 0.40/0.61 (step @p32 :rule evaluate :args (@t26)) % 0.40/0.61 (step @p33 :rule cong :premises (@p32) :args (@t27)) % 0.40/0.61 (step @p34 :rule trans :premises (@p33 @p31)) % 0.40/0.61 (step @p35 :rule nary_cong :premises (@p34 @p30) :args (@t28)) % 0.40/0.61 (step @p36 :rule trans :premises (@p35 @p29)) % 0.40/0.61 (step @p37 :rule quant-var-elim-eq :args ((= (forall @t9 @t32) @t28))) % 0.40/0.61 (step @p38 :rule aci_norm :args ((= @t33 @t32))) % 0.40/0.61 (step @p39 :rule cong :premises (@p38) :args ((forall @t9 @t33))) % 0.40/0.61 (step @p40 :rule trans :premises (@p39 @p37)) % 0.40/0.61 (step @p41 :rule trans :premises (@p40 @p36)) % 0.40/0.61 (step @p42 :rule refl :args (@t29)) % 0.40/0.61 (step @p43 :rule arith_poly_norm :args ((= (* -3 (- 6 @t6)) (* 6 (- @t3 3))))) % 0.40/0.61 (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= @t34 @t30))) % 0.40/0.61 (step @p45 :rule cong :premises (@p44) :args (@t35)) % 0.40/0.61 (step @p46 :rule nary_cong :premises (@p45 @p42) :args (@t36)) % 0.40/0.61 (step @p47 :rule cong :premises (@p46) :args (@t37)) % 0.40/0.61 (step @p48 :rule trans :premises (@p47 @p41)) % 0.40/0.61 (step @p49 :rule cong :premises (@p48) :args (@t38)) % 0.40/0.61 (step @p50 :rule trans :premises (@p49 @p28)) % 0.40/0.61 (step @p51 :rule evaluate :args (@t39)) % 0.40/0.61 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t40)) % 0.40/0.61 (step @p53 :rule trans :premises (@p52 @p27)) % 0.40/0.61 (step @p54 :rule evaluate :args (@t41)) % 0.40/0.61 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t42)) % 0.40/0.61 (step @p56 :rule trans :premises (@p55 @p26)) % 0.40/0.61 (step @p57 :rule refl :args (@t43)) % 0.40/0.61 (step @p58 :rule cong :premises (@p57 @p56) :args (@t44)) % 0.40/0.61 (step @p59 :rule refl :args (@t45)) % 0.40/0.61 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t45 @t44))) % 0.40/0.61 (assume-push @p153 @t45) % 0.40/0.61 (step @p62 :rule instantiate :premises (@p25) :args ((@list 6))) % 0.40/0.61 (step-pop @p154 :rule scope :premises (@p62)) % 0.40/0.61 (step @p63 :rule process_scope :premises (@p154) :args (@t44)) % 0.40/0.61 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 0.40/0.61 (step @p66 :rule implies_elim :premises (@p65)) % 0.40/0.61 (step @p67 :rule chain_m_resolution :premises (@p66 @p25) :args (@t46 @t47 @t48)) % 0.40/0.61 (step @p68 :rule aci_norm :args ((= (or false @t43) @t43))) % 0.40/0.61 (step @p69 :rule aci_norm :args ((= (and true @t43) @t43))) % 0.40/0.61 (step @p70 :rule bool-double-not-elim :args (@t43)) % 0.40/0.61 (step @p71 :rule aci_norm :args ((= (or false @t49) @t49))) % 0.40/0.61 (step @p72 :rule refl :args (@t49)) % 0.40/0.61 (step @p73 :rule evaluate :args (@t50)) % 0.40/0.61 (step @p74 :rule cong :premises (@p73) :args (@t51)) % 0.40/0.61 (step @p75 :rule trans :premises (@p74 @p31)) % 0.40/0.61 (step @p76 :rule nary_cong :premises (@p75 @p72) :args (@t52)) % 0.40/0.61 (step @p77 :rule trans :premises (@p76 @p71)) % 0.40/0.61 (step @p78 :rule quant-var-elim-eq :args ((= (forall @t9 @t55) @t52))) % 0.40/0.61 (step @p79 :rule aci_norm :args ((= @t56 @t55))) % 0.40/0.61 (step @p80 :rule cong :premises (@p79) :args ((forall @t9 @t56))) % 0.40/0.61 (step @p81 :rule trans :premises (@p80 @p78)) % 0.40/0.61 (step @p82 :rule trans :premises (@p81 @p77)) % 0.40/0.61 (step @p83 :rule arith_poly_norm :args ((= (* -6 (- 12 @t6)) (* 12 (- @t3 6))))) % 0.40/0.61 (step @p84 :rule arith_poly_norm_rel :premises (@p83) :args ((= @t57 @t53))) % 0.40/0.61 (step @p85 :rule cong :premises (@p84) :args (@t58)) % 0.40/0.61 (step @p86 :rule nary_cong :premises (@p85 @p42) :args (@t59)) % 0.40/0.61 (step @p87 :rule cong :premises (@p86) :args (@t60)) % 0.40/0.61 (step @p88 :rule trans :premises (@p87 @p82)) % 0.40/0.61 (step @p89 :rule cong :premises (@p88) :args (@t61)) % 0.40/0.61 (step @p90 :rule trans :premises (@p89 @p70)) % 0.40/0.61 (step @p91 :rule evaluate :args (@t62)) % 0.40/0.61 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t63)) % 0.40/0.61 (step @p93 :rule trans :premises (@p92 @p69)) % 0.40/0.61 (step @p94 :rule evaluate :args (@t64)) % 0.40/0.61 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t65)) % 0.40/0.61 (step @p96 :rule trans :premises (@p95 @p68)) % 0.40/0.61 (step @p97 :rule refl :args (@t1)) % 0.40/0.61 (step @p98 :rule cong :premises (@p97 @p96) :args (@t66)) % 0.40/0.61 (step @p99 :rule cong :premises (@p59 @p98) :args ((=> @t45 @t66))) % 0.40/0.61 (assume-push @p155 @t45) % 0.40/0.61 (step @p101 :rule instantiate :premises (@p25) :args ((@list 12))) % 0.40/0.61 (step-pop @p156 :rule scope :premises (@p101)) % 0.40/0.61 (step @p102 :rule process_scope :premises (@p156) :args (@t66)) % 0.40/0.61 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 0.40/0.61 (step @p105 :rule implies_elim :premises (@p104)) % 0.40/0.61 (step @p106 :rule chain_m_resolution :premises (@p105 @p25) :args (@t67 @t47 @t48)) % 0.40/0.61 (step @p107 :rule not_implies_elim2 :premises (@p24)) % 0.40/0.61 (step @p108 :rule not_not_elim :premises (@p107)) % 0.40/0.61 (step @p109 :rule cnf_equiv_pos1 :args (@t67)) % 0.40/0.61 (step @p110 :rule reordering :premises (@p109) :args ((or @t2 @t43 (not @t67)))) % 0.40/0.61 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p106) :args (@t43 @t68 (@list @t1 @t67))) % 0.40/0.61 (step @p112 :rule cnf_equiv_pos1 :args (@t46)) % 0.40/0.61 (step @p113 :rule reordering :premises (@p112) :args ((or @t49 @t24 (not @t46)))) % 0.40/0.61 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p67) :args (@t24 @t68 (@list @t43 @t46))) % 0.40/0.61 (step @p115 :rule bool-eq-false :args (@t24)) % 0.40/0.61 (step @p116 :rule evaluate :args ((or false false))) % 0.40/0.61 (step @p117 :rule evaluate :args ((and true false))) % 0.40/0.61 (step @p118 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 0.40/0.61 (step @p119 :rule absorb :args ((= (or true @t29) true))) % 0.40/0.61 (step @p120 :rule evaluate :args ((not false))) % 0.40/0.61 (step @p121 :rule evaluate :args ((= (to_real (to_int -3/2)) -3/2))) % 0.40/0.61 (step @p122 :rule arith-int-eq-conflict :premises (@p121) :args (@t69 -3/2)) % 0.40/0.61 (step @p123 :rule arith_poly_norm :args ((= (* 3/2 @t73) (* 3/1 (- @t70 -3/2))))) % 0.40/0.61 (step @p124 :rule arith_poly_norm_rel :premises (@p123) :args ((= @t74 (= @t70 -3/2)))) % 0.40/0.61 (step @p125 :rule arith_poly_norm :args ((= (* 3/1 (to_real (- 3 @t6))) (* 3/1 @t73)))) % 0.40/0.61 (step @p126 :rule arith_poly_norm_rel :premises (@p125) :args ((= @t75 @t74))) % 0.40/0.61 (step @p127 :rule trans :premises (@p126 @p124 @p122)) % 0.40/0.61 (step @p128 :rule cong :premises (@p127) :args (@t76)) % 0.40/0.61 (step @p129 :rule trans :premises (@p128 @p120)) % 0.40/0.61 (step @p130 :rule nary_cong :premises (@p129 @p42) :args (@t77)) % 0.40/0.61 (step @p131 :rule trans :premises (@p130 @p119)) % 0.40/0.61 (step @p132 :rule cong :premises (@p131) :args (@t78)) % 0.40/0.61 (step @p133 :rule trans :premises (@p132 @p118)) % 0.40/0.61 (step @p134 :rule cong :premises (@p133) :args (@t79)) % 0.40/0.61 (step @p135 :rule trans :premises (@p134 @p31)) % 0.40/0.61 (step @p136 :rule evaluate :args (@t80)) % 0.40/0.61 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t81)) % 0.40/0.61 (step @p138 :rule trans :premises (@p137 @p117)) % 0.40/0.61 (step @p139 :rule evaluate :args (@t82)) % 0.40/0.61 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t83)) % 0.40/0.61 (step @p141 :rule trans :premises (@p140 @p116)) % 0.40/0.61 (step @p142 :rule refl :args (@t24)) % 0.40/0.61 (step @p143 :rule cong :premises (@p142 @p141) :args (@t84)) % 0.40/0.61 (step @p144 :rule trans :premises (@p143 @p115)) % 0.40/0.61 (step @p145 :rule cong :premises (@p59 @p144) :args ((=> @t45 @t84))) % 0.40/0.61 (assume-push @p157 @t45) % 0.40/0.61 (step @p147 :rule instantiate :premises (@p25) :args ((@list 3))) % 0.40/0.61 (step-pop @p158 :rule scope :premises (@p147)) % 0.40/0.61 (step @p148 :rule process_scope :premises (@p158) :args (@t84)) % 0.40/0.61 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 0.40/0.61 (step @p151 :rule implies_elim :premises (@p150)) % 0.40/0.61 (step @p152 false :rule chain_m_resolution :premises (@p151 @p114 @p25) :args (false @t68 (@list @t24 @t45))) % 0.40/0.61 ) % 0.40/0.61 % SZS output end Proof % 0.40/0.61 % cvc5 exiting %------------------------------------------------------------------------------