%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI685_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:08:07 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI685_1 : TPTP v9.2.1. Released v6.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n015.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 : Wed Jun 3 02:32:19 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_ARI % 0.37/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-const tptp.a Int) % 0.37/0.56 (declare-const tptp.b Int) % 0.37/0.56 (declare-const tptp.d Int) % 0.37/0.56 (declare-const tptp.c Int) % 0.37/0.56 (define @t1 () (+ 2 tptp.c)) % 0.37/0.56 (define @t2 () (+ tptp.a tptp.b)) % 0.37/0.56 (define @t3 () (+ (+ @t2 tptp.c) tptp.d)) % 0.37/0.56 (define @t4 () (* @t3 @t1)) % 0.37/0.56 (define @t5 () (- 1)) % 0.37/0.56 (define @t6 () (* @t5 @t4)) % 0.37/0.56 (define @t7 () (+ tptp.a 2)) % 0.37/0.56 (define @t8 () (+ (+ tptp.c tptp.d) 1)) % 0.37/0.56 (define @t9 () (* @t2 @t8)) % 0.37/0.56 (define @t10 () (* @t9 @t7)) % 0.37/0.56 (define @t11 () (* tptp.a tptp.a)) % 0.37/0.56 (define @t12 () (+ (+ (+ @t11 @t10) tptp.b) @t6)) % 0.37/0.56 (define @t13 () (= @t12 0)) % 0.37/0.56 (define @t14 () (* 2 tptp.d)) % 0.37/0.56 (define @t15 () (* tptp.d tptp.a)) % 0.37/0.56 (define @t16 () (* @t15 tptp.a)) % 0.37/0.56 (define @t17 () (* @t5 @t16)) % 0.37/0.56 (define @t18 () (* tptp.d tptp.c)) % 0.37/0.56 (define @t19 () (* tptp.c tptp.b)) % 0.37/0.56 (define @t20 () (* @t19 tptp.a)) % 0.37/0.56 (define @t21 () (* @t5 @t20)) % 0.37/0.56 (define @t22 () (* tptp.d tptp.b)) % 0.37/0.56 (define @t23 () (* 2 @t22)) % 0.37/0.56 (define @t24 () (* @t5 @t23)) % 0.37/0.56 (define @t25 () (* 2 @t15)) % 0.37/0.56 (define @t26 () (* @t5 @t25)) % 0.37/0.56 (define @t27 () (* tptp.c tptp.a)) % 0.37/0.56 (define @t28 () (* @t27 tptp.a)) % 0.37/0.56 (define @t29 () (* @t5 @t28)) % 0.37/0.56 (define @t30 () (* tptp.c tptp.c)) % 0.37/0.56 (define @t31 () (* @t5 @t19)) % 0.37/0.56 (define @t32 () (* 2 tptp.c)) % 0.37/0.56 (define @t33 () (* tptp.b tptp.a)) % 0.37/0.56 (define @t34 () (* @t5 @t33)) % 0.37/0.56 (define @t35 () (* @t5 @t27)) % 0.37/0.56 (define @t36 () (- 2)) % 0.37/0.56 (define @t37 () (* @t36 @t11)) % 0.37/0.56 (define @t38 () (+ @t37 @t35)) % 0.37/0.56 (define @t39 () (- @t38 tptp.b)) % 0.37/0.56 (define @t40 () (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ @t39 @t34) @t32) @t31) @t30) @t29) @t26) @t24) @t21) @t18) @t17) @t14)) % 0.37/0.56 (define @t41 () (* @t5 @t40)) % 0.37/0.56 (define @t42 () (* @t22 tptp.a)) % 0.37/0.56 (define @t43 () (+ @t42 @t41)) % 0.37/0.56 (define @t44 () (= @t43 0)) % 0.37/0.56 (define @t45 () (not @t44)) % 0.37/0.56 (define @t46 () (* tptp.a tptp.b tptp.d)) % 0.37/0.56 (define @t47 () (* tptp.a tptp.a tptp.d)) % 0.37/0.56 (define @t48 () (* -1 @t47)) % 0.37/0.56 (define @t49 () (* tptp.a tptp.b tptp.c)) % 0.37/0.56 (define @t50 () (* -1 @t49)) % 0.37/0.56 (define @t51 () (* tptp.a tptp.a tptp.c)) % 0.37/0.56 (define @t52 () (* -1 @t51)) % 0.37/0.56 (define @t53 () (* tptp.a tptp.b)) % 0.37/0.56 (define @t54 () (* -1 @t53)) % 0.37/0.56 (define @t55 () (* tptp.a tptp.a)) % 0.37/0.56 (define @t56 () (* -2 @t55)) % 0.37/0.56 (define @t57 () (* tptp.b tptp.d)) % 0.37/0.56 (define @t58 () (* -2 @t57)) % 0.37/0.56 (define @t59 () (* tptp.a tptp.d)) % 0.37/0.56 (define @t60 () (* -2 @t59)) % 0.37/0.56 (define @t61 () (* tptp.c tptp.d)) % 0.37/0.56 (define @t62 () (* tptp.c tptp.c)) % 0.37/0.56 (define @t63 () (* tptp.b tptp.c)) % 0.37/0.56 (define @t64 () (* -1 @t63)) % 0.37/0.56 (define @t65 () (* tptp.a tptp.c)) % 0.37/0.56 (define @t66 () (* -1 @t65)) % 0.37/0.56 (define @t67 () (+ @t32 @t14 @t66 @t64 @t62 @t61 @t60 @t58 @t56 @t54 @t52 @t50 @t48 (* -1 @t46))) % 0.37/0.56 (define @t68 () (* 2 @t55)) % 0.37/0.56 (define @t69 () (* 2 @t57)) % 0.37/0.56 (define @t70 () (* 2 @t59)) % 0.37/0.56 (define @t71 () (* -1 @t61)) % 0.37/0.56 (define @t72 () (* -1 @t62)) % 0.37/0.56 (define @t73 () (* -2 tptp.d)) % 0.37/0.56 (define @t74 () (* -2 tptp.c)) % 0.37/0.56 (define @t75 () (+ tptp.b @t74 @t73 @t65 @t63 @t72 @t71 @t70 @t69 @t68 @t53 @t51 @t49 @t47 @t46)) % 0.37/0.56 (define @t76 () (+ tptp.b @t74 @t73 @t65 @t63 @t72 @t71 @t70 @t69 @t68 @t53 @t51 @t49 @t47)) % 0.37/0.56 (define @t77 () (* -1 tptp.b)) % 0.37/0.56 (define @t78 () (+ @t77 @t32 @t14 @t66 @t64 @t62 @t61 @t60 @t58 @t56 @t54 @t52 @t50 @t48)) % 0.37/0.56 (define @t79 () (+ @t77 @t35 @t37)) % 0.37/0.56 (define @t80 () (+ @t38 @t77)) % 0.37/0.56 (define @t81 () (+ @t14 @t17 @t18 @t21 @t24 @t26 @t29 @t30 @t31 @t32 @t34 @t39)) % 0.37/0.56 (define @t82 () (* 2 tptp.b)) % 0.37/0.56 (define @t83 () (* 2 tptp.a)) % 0.37/0.56 (define @t84 () (+ @t83 @t82 (* 2 @t65) (* 2 @t63) @t70 @t69 @t55 @t53 @t51 @t49 @t47 @t46)) % 0.37/0.56 (define @t85 () (+ (* -2 tptp.a) (* -2 tptp.b) @t74 @t73 @t66 @t64 @t72 @t71)) % 0.37/0.56 (define @t86 () (+ 2 tptp.a)) % 0.37/0.56 (define @t87 () (+ tptp.a tptp.b @t65 @t63 @t59 @t57)) % 0.37/0.56 (define @t88 () (+ 1 tptp.c tptp.d)) % 0.37/0.56 (define @t89 () (+ tptp.d tptp.c 1)) % 0.37/0.56 (define @t90 () (+ @t83 @t82 @t32 @t14 @t65 @t63 @t62 @t61)) % 0.37/0.56 (define @t91 () (+ tptp.a tptp.b tptp.c tptp.d)) % 0.37/0.56 (define @t92 () (+ tptp.d tptp.c tptp.b tptp.a)) % 0.37/0.56 (define @t93 () (+ @t6 @t10 @t11 tptp.b)) % 0.37/0.56 (assume @p1 @t13) % 0.37/0.56 (assume @p2 @t45) % 0.37/0.56 (assume @p3 true) % 0.37/0.56 (step @p4 :rule arith_poly_norm :args ((= (* 1 (- @t75 0)) (* 1 (- tptp.b @t67))))) % 0.37/0.56 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= (= @t75 0) (= tptp.b @t67)))) % 0.37/0.56 (step @p6 :rule refl :args (0)) % 0.37/0.56 (step @p7 :rule arith_poly_norm :args ((= (+ @t46 @t76) @t75))) % 0.37/0.56 (step @p8 :rule arith_poly_norm :args ((= (* -1 @t78) @t76))) % 0.37/0.56 (step @p9 :rule arith_poly_norm :args ((= (+ @t14 @t48 @t61 @t50 @t58 @t60 @t52 @t62 @t64 @t32 @t54 (+ @t77 @t66 @t56)) @t78))) % 0.37/0.56 (step @p10 :rule arith_poly_norm :args ((= @t11 @t55))) % 0.37/0.56 (step @p11 :rule evaluate :args (@t36)) % 0.37/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t37)) % 0.37/0.56 (step @p13 :rule arith_poly_norm :args ((= @t27 @t65))) % 0.37/0.56 (step @p14 :rule evaluate :args (@t5)) % 0.37/0.56 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t35)) % 0.37/0.56 (step @p16 :rule refl :args (@t77)) % 0.37/0.56 (step @p17 :rule nary_cong :premises (@p16 @p15 @p12) :args (@t79)) % 0.37/0.56 (step @p18 :rule arith_poly_norm :args ((= @t80 @t79))) % 0.37/0.56 (step @p19 :rule trans :premises (@p18 @p17)) % 0.37/0.56 (step @p20 :rule arith_poly_norm :args ((= @t39 @t80))) % 0.37/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.37/0.56 (step @p22 :rule arith_poly_norm :args ((= @t33 @t53))) % 0.37/0.56 (step @p23 :rule nary_cong :premises (@p14 @p22) :args (@t34)) % 0.37/0.56 (step @p24 :rule refl :args (@t32)) % 0.37/0.56 (step @p25 :rule arith_poly_norm :args ((= @t19 @t63))) % 0.37/0.56 (step @p26 :rule nary_cong :premises (@p14 @p25) :args (@t31)) % 0.37/0.56 (step @p27 :rule arith_poly_norm :args ((= @t30 @t62))) % 0.37/0.56 (step @p28 :rule arith_poly_norm :args ((= (* @t65 tptp.a) @t51))) % 0.37/0.56 (step @p29 :rule refl :args (tptp.a)) % 0.37/0.56 (step @p30 :rule nary_cong :premises (@p13 @p29) :args (@t28)) % 0.37/0.56 (step @p31 :rule trans :premises (@p30 @p28)) % 0.37/0.56 (step @p32 :rule nary_cong :premises (@p14 @p31) :args (@t29)) % 0.37/0.56 (step @p33 :rule arith_poly_norm :args ((= (* -1 @t70) @t60))) % 0.37/0.56 (step @p34 :rule arith_poly_norm :args ((= @t15 @t59))) % 0.37/0.56 (step @p35 :rule refl :args (2)) % 0.37/0.56 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t25)) % 0.37/0.56 (step @p37 :rule nary_cong :premises (@p14 @p36) :args (@t26)) % 0.37/0.56 (step @p38 :rule trans :premises (@p37 @p33)) % 0.37/0.56 (step @p39 :rule arith_poly_norm :args ((= (* -1 @t69) @t58))) % 0.37/0.56 (step @p40 :rule arith_poly_norm :args ((= @t22 @t57))) % 0.37/0.56 (step @p41 :rule nary_cong :premises (@p35 @p40) :args (@t23)) % 0.37/0.56 (step @p42 :rule nary_cong :premises (@p14 @p41) :args (@t24)) % 0.37/0.56 (step @p43 :rule trans :premises (@p42 @p39)) % 0.37/0.56 (step @p44 :rule arith_poly_norm :args ((= (* @t63 tptp.a) @t49))) % 0.37/0.56 (step @p45 :rule nary_cong :premises (@p25 @p29) :args (@t20)) % 0.37/0.56 (step @p46 :rule trans :premises (@p45 @p44)) % 0.37/0.56 (step @p47 :rule nary_cong :premises (@p14 @p46) :args (@t21)) % 0.37/0.56 (step @p48 :rule arith_poly_norm :args ((= @t18 @t61))) % 0.37/0.56 (step @p49 :rule arith_poly_norm :args ((= (* @t59 tptp.a) @t47))) % 0.37/0.56 (step @p50 :rule nary_cong :premises (@p34 @p29) :args (@t16)) % 0.37/0.56 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.56 (step @p52 :rule nary_cong :premises (@p14 @p51) :args (@t17)) % 0.37/0.56 (step @p53 :rule refl :args (@t14)) % 0.37/0.56 (step @p54 :rule nary_cong :premises (@p53 @p52 @p48 @p47 @p43 @p38 @p32 @p27 @p26 @p24 @p23 @p21) :args (@t81)) % 0.37/0.56 (step @p55 :rule trans :premises (@p54 @p9)) % 0.37/0.56 (step @p56 :rule arith_poly_norm :args ((= @t40 @t81))) % 0.37/0.56 (step @p57 :rule trans :premises (@p56 @p55)) % 0.37/0.56 (step @p58 :rule nary_cong :premises (@p14 @p57) :args (@t41)) % 0.37/0.56 (step @p59 :rule trans :premises (@p58 @p8)) % 0.37/0.56 (step @p60 :rule arith_poly_norm :args ((= (* @t57 tptp.a) @t46))) % 0.37/0.56 (step @p61 :rule nary_cong :premises (@p40 @p29) :args (@t42)) % 0.37/0.56 (step @p62 :rule trans :premises (@p61 @p60)) % 0.37/0.56 (step @p63 :rule nary_cong :premises (@p62 @p59) :args (@t43)) % 0.37/0.56 (step @p64 :rule trans :premises (@p63 @p7)) % 0.37/0.56 (step @p65 :rule cong :premises (@p64 @p6) :args (@t44)) % 0.37/0.56 (step @p66 :rule trans :premises (@p65 @p5)) % 0.37/0.56 (step @p67 :rule cong :premises (@p66) :args (@t45)) % 0.37/0.56 (step @p68 :rule eq_resolve :premises (@p2 @p67)) % 0.37/0.56 (step @p69 :rule arith_poly_norm :args ((= (+ @t85 @t84 @t55 tptp.b) @t75))) % 0.37/0.56 (step @p70 :rule refl :args (tptp.b)) % 0.37/0.56 (step @p71 :rule arith_poly_norm :args ((= (* @t87 @t86) @t84))) % 0.37/0.56 (step @p72 :rule arith_poly_norm :args ((= @t7 @t86))) % 0.37/0.56 (step @p73 :rule arith_poly_norm :args ((= (* @t2 @t88) @t87))) % 0.37/0.56 (step @p74 :rule arith_poly_norm :args ((= @t89 @t88))) % 0.37/0.56 (step @p75 :rule arith_poly_norm :args ((= @t8 @t89))) % 0.37/0.56 (step @p76 :rule trans :premises (@p75 @p74)) % 0.37/0.56 (step @p77 :rule refl :args (@t2)) % 0.37/0.56 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t9)) % 0.37/0.56 (step @p79 :rule trans :premises (@p78 @p73)) % 0.37/0.56 (step @p80 :rule nary_cong :premises (@p79 @p72) :args (@t10)) % 0.37/0.57 (step @p81 :rule trans :premises (@p80 @p71)) % 0.37/0.57 (step @p82 :rule arith_poly_norm :args ((= (* -1 @t90) @t85))) % 0.37/0.57 (step @p83 :rule arith_poly_norm :args ((= (* @t91 @t1) @t90))) % 0.37/0.57 (step @p84 :rule refl :args (@t1)) % 0.37/0.57 (step @p85 :rule arith_poly_norm :args ((= @t92 @t91))) % 0.37/0.57 (step @p86 :rule arith_poly_norm :args ((= @t3 @t92))) % 0.37/0.57 (step @p87 :rule trans :premises (@p86 @p85)) % 0.37/0.57 (step @p88 :rule nary_cong :premises (@p87 @p84) :args (@t4)) % 0.37/0.57 (step @p89 :rule trans :premises (@p88 @p83)) % 0.37/0.57 (step @p90 :rule nary_cong :premises (@p14 @p89) :args (@t6)) % 0.37/0.57 (step @p91 :rule trans :premises (@p90 @p82)) % 0.37/0.57 (step @p92 :rule nary_cong :premises (@p91 @p81 @p10 @p70) :args (@t93)) % 0.37/0.57 (step @p93 :rule trans :premises (@p92 @p69)) % 0.37/0.57 (step @p94 :rule arith_poly_norm :args ((= @t12 @t93))) % 0.37/0.57 (step @p95 :rule trans :premises (@p94 @p93)) % 0.37/0.57 (step @p96 :rule cong :premises (@p95 @p6) :args (@t13)) % 0.37/0.57 (step @p97 :rule trans :premises (@p96 @p5)) % 0.37/0.57 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 0.37/0.57 (step @p99 false :rule contra :premises (@p98 @p68)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------