%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI696_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 : n029.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 08:08:09 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI696_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n029.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 02:31:47 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 0.38/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-const tptp.a Int) % 0.38/0.56 (declare-const tptp.b Int) % 0.38/0.56 (declare-const tptp.d Int) % 0.38/0.56 (declare-const tptp.c Int) % 0.38/0.56 (define @t1 () (+ 2 tptp.c)) % 0.38/0.56 (define @t2 () (+ tptp.a tptp.b)) % 0.38/0.56 (define @t3 () (+ (+ @t2 tptp.c) tptp.d)) % 0.38/0.56 (define @t4 () (- 1)) % 0.38/0.56 (define @t5 () (* @t4 @t3)) % 0.38/0.56 (define @t6 () (* @t5 @t1)) % 0.38/0.56 (define @t7 () (* @t4 @t6)) % 0.38/0.56 (define @t8 () (- tptp.a 2)) % 0.38/0.56 (define @t9 () (- tptp.c tptp.d)) % 0.38/0.56 (define @t10 () (+ @t9 1)) % 0.38/0.56 (define @t11 () (* @t2 @t10)) % 0.38/0.56 (define @t12 () (* @t11 @t8)) % 0.38/0.56 (define @t13 () (* tptp.a tptp.a)) % 0.38/0.56 (define @t14 () (+ (+ (+ @t13 @t12) tptp.b) @t7)) % 0.38/0.56 (define @t15 () (= @t14 0)) % 0.38/0.56 (define @t16 () (* tptp.d tptp.a)) % 0.38/0.56 (define @t17 () (* @t16 tptp.a)) % 0.38/0.56 (define @t18 () (* @t4 @t17)) % 0.38/0.56 (define @t19 () (* tptp.d tptp.c)) % 0.38/0.56 (define @t20 () (* tptp.c tptp.b)) % 0.38/0.56 (define @t21 () (* @t20 tptp.a)) % 0.38/0.56 (define @t22 () (* tptp.d tptp.b)) % 0.38/0.56 (define @t23 () (* 2 @t16)) % 0.38/0.56 (define @t24 () (* tptp.c tptp.a)) % 0.38/0.56 (define @t25 () (* @t24 tptp.a)) % 0.38/0.56 (define @t26 () (* tptp.c tptp.c)) % 0.38/0.56 (define @t27 () (* @t4 @t24)) % 0.38/0.56 (define @t28 () (* 2 tptp.c)) % 0.38/0.56 (define @t29 () (* tptp.b tptp.a)) % 0.38/0.56 (define @t30 () (* 2 @t13)) % 0.38/0.56 (define @t31 () (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ @t30 tptp.b) @t29) @t22) @t28) @t27) @t26) @t25) tptp.d) @t23) @t22) @t21) @t19) @t18) tptp.d)) % 0.38/0.56 (define @t32 () (* @t4 @t31)) % 0.38/0.56 (define @t33 () (* @t22 tptp.a)) % 0.38/0.56 (define @t34 () (+ (+ @t33 @t20) @t32)) % 0.38/0.56 (define @t35 () (= @t34 0)) % 0.38/0.56 (define @t36 () (not @t35)) % 0.38/0.56 (define @t37 () (* tptp.a tptp.b tptp.d)) % 0.38/0.56 (define @t38 () (* tptp.a tptp.a tptp.d)) % 0.38/0.56 (define @t39 () (* tptp.a tptp.b tptp.c)) % 0.38/0.56 (define @t40 () (* -1 @t39)) % 0.38/0.56 (define @t41 () (* tptp.a tptp.a tptp.c)) % 0.38/0.56 (define @t42 () (* -1 @t41)) % 0.38/0.56 (define @t43 () (* tptp.a tptp.b)) % 0.38/0.56 (define @t44 () (* -1 @t43)) % 0.38/0.56 (define @t45 () (* tptp.a tptp.a)) % 0.38/0.56 (define @t46 () (* -2 @t45)) % 0.38/0.56 (define @t47 () (* tptp.b tptp.d)) % 0.38/0.56 (define @t48 () (* -2 @t47)) % 0.38/0.56 (define @t49 () (* tptp.a tptp.d)) % 0.38/0.56 (define @t50 () (* -2 @t49)) % 0.38/0.56 (define @t51 () (* tptp.c tptp.d)) % 0.38/0.56 (define @t52 () (* -1 @t51)) % 0.38/0.56 (define @t53 () (* tptp.c tptp.c)) % 0.38/0.56 (define @t54 () (* -1 @t53)) % 0.38/0.56 (define @t55 () (* tptp.b tptp.c)) % 0.38/0.56 (define @t56 () (* tptp.a tptp.c)) % 0.38/0.56 (define @t57 () (* -2 tptp.d)) % 0.38/0.56 (define @t58 () (* -2 tptp.c)) % 0.38/0.56 (define @t59 () (+ @t58 @t57 @t56 @t55 @t54 @t52 @t50 @t48 @t46 @t44 @t42 @t40 @t38 @t37)) % 0.38/0.56 (define @t60 () (- tptp.b @t59)) % 0.38/0.56 (define @t61 () (* -1 tptp.b)) % 0.38/0.56 (define @t62 () (+ @t61 @t58 @t57 @t56 @t55 @t54 @t52 @t50 @t48 @t46 @t44 @t42 @t40 @t38 @t37)) % 0.38/0.56 (define @t63 () (= tptp.b @t59)) % 0.38/0.56 (define @t64 () (+ @t61 @t58 @t57 @t56 @t54 @t52 @t50 @t48 @t46 @t44 @t42 @t40 @t38)) % 0.38/0.56 (define @t65 () (* -1 @t38)) % 0.38/0.56 (define @t66 () (* 2 @t45)) % 0.38/0.56 (define @t67 () (* 2 @t47)) % 0.38/0.56 (define @t68 () (* 2 @t49)) % 0.38/0.56 (define @t69 () (* -1 @t56)) % 0.38/0.56 (define @t70 () (* 2 tptp.d)) % 0.38/0.56 (define @t71 () (+ tptp.b @t28 @t70 @t69 @t53 @t51 @t68 @t67 @t66 @t43 @t41 @t39 @t65)) % 0.38/0.56 (define @t72 () (* 2 @t22)) % 0.38/0.56 (define @t73 () (+ @t18 @t19 @t21 @t23 @t25 @t26 @t27 @t28 @t29 @t30 @t72 @t70 tptp.b)) % 0.38/0.56 (define @t74 () (+ @t32 @t33 @t20)) % 0.38/0.56 (define @t75 () (* -1 @t37)) % 0.38/0.56 (define @t76 () (* -1 @t55)) % 0.38/0.56 (define @t77 () (+ tptp.b @t28 @t70 @t69 @t76 @t53 @t51 @t68 @t67 @t66 @t43 @t41 @t39 @t65 @t75)) % 0.38/0.56 (define @t78 () (* -2 tptp.b)) % 0.38/0.56 (define @t79 () (* -2 tptp.a)) % 0.38/0.56 (define @t80 () (+ @t79 @t78 (* -2 @t56) (* -2 @t55) @t68 @t67 @t45 @t43 @t41 @t39 @t65 @t75)) % 0.38/0.56 (define @t81 () (+ (* 2 tptp.a) (* 2 tptp.b) @t28 @t70 @t56 @t55 @t53 @t51)) % 0.38/0.56 (define @t82 () (+ -2 tptp.a)) % 0.38/0.56 (define @t83 () (+ tptp.a tptp.b @t56 @t55 (* -1 @t49) (* -1 @t47))) % 0.38/0.56 (define @t84 () (* -1 2)) % 0.38/0.56 (define @t85 () (+ tptp.a @t84)) % 0.38/0.56 (define @t86 () (* -1 tptp.d)) % 0.38/0.56 (define @t87 () (+ 1 tptp.c @t86)) % 0.38/0.56 (define @t88 () (+ tptp.c @t86)) % 0.38/0.56 (define @t89 () (+ @t79 @t78 @t58 @t57 @t69 @t76 @t54 @t52)) % 0.38/0.56 (define @t90 () (+ (* -1 tptp.a) @t61 (* -1 tptp.c) @t86)) % 0.38/0.56 (define @t91 () (+ tptp.a tptp.b tptp.c tptp.d)) % 0.38/0.56 (define @t92 () (+ tptp.d tptp.c tptp.b tptp.a)) % 0.38/0.56 (define @t93 () (+ @t7 @t12 @t13 tptp.b)) % 0.38/0.56 (assume @p1 @t15) % 0.38/0.56 (assume @p2 @t36) % 0.38/0.56 (assume @p3 true) % 0.38/0.56 (step @p4 :rule arith_poly_norm :args ((= (* 1 (- @t62 0)) (* -1 @t60)))) % 0.38/0.56 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= (= @t62 0) @t63))) % 0.38/0.56 (step @p6 :rule refl :args (0)) % 0.38/0.56 (step @p7 :rule arith_poly_norm :args ((= (+ @t64 @t37 @t55) @t62))) % 0.38/0.56 (step @p8 :rule arith_poly_norm :args ((= @t20 @t55))) % 0.38/0.56 (step @p9 :rule arith_poly_norm :args ((= (* @t47 tptp.a) @t37))) % 0.38/0.56 (step @p10 :rule refl :args (tptp.a)) % 0.38/0.56 (step @p11 :rule arith_poly_norm :args ((= @t22 @t47))) % 0.38/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t33)) % 0.38/0.56 (step @p13 :rule trans :premises (@p12 @p9)) % 0.38/0.56 (step @p14 :rule arith_poly_norm :args ((= (* -1 @t71) @t64))) % 0.38/0.56 (step @p15 :rule arith_poly_norm :args ((= (+ @t65 @t51 @t39 @t68 @t41 @t53 @t69 @t28 @t43 @t66 @t67 @t70 tptp.b) @t71))) % 0.38/0.56 (step @p16 :rule refl :args (tptp.b)) % 0.38/0.56 (step @p17 :rule refl :args (@t70)) % 0.38/0.56 (step @p18 :rule refl :args (2)) % 0.38/0.56 (step @p19 :rule nary_cong :premises (@p18 @p11) :args (@t72)) % 0.38/0.56 (step @p20 :rule arith_poly_norm :args ((= @t13 @t45))) % 0.38/0.56 (step @p21 :rule nary_cong :premises (@p18 @p20) :args (@t30)) % 0.38/0.56 (step @p22 :rule arith_poly_norm :args ((= @t29 @t43))) % 0.38/0.56 (step @p23 :rule refl :args (@t28)) % 0.38/0.56 (step @p24 :rule arith_poly_norm :args ((= @t24 @t56))) % 0.38/0.56 (step @p25 :rule evaluate :args (@t4)) % 0.38/0.56 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t27)) % 0.38/0.56 (step @p27 :rule arith_poly_norm :args ((= @t26 @t53))) % 0.38/0.56 (step @p28 :rule arith_poly_norm :args ((= (* @t56 tptp.a) @t41))) % 0.38/0.56 (step @p29 :rule nary_cong :premises (@p24 @p10) :args (@t25)) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.56 (step @p31 :rule arith_poly_norm :args ((= @t16 @t49))) % 0.38/0.56 (step @p32 :rule nary_cong :premises (@p18 @p31) :args (@t23)) % 0.38/0.56 (step @p33 :rule arith_poly_norm :args ((= (* @t55 tptp.a) @t39))) % 0.38/0.56 (step @p34 :rule nary_cong :premises (@p8 @p10) :args (@t21)) % 0.38/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.56 (step @p36 :rule arith_poly_norm :args ((= @t19 @t51))) % 0.38/0.56 (step @p37 :rule arith_poly_norm :args ((= (* @t49 tptp.a) @t38))) % 0.38/0.56 (step @p38 :rule nary_cong :premises (@p31 @p10) :args (@t17)) % 0.38/0.56 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.56 (step @p40 :rule nary_cong :premises (@p25 @p39) :args (@t18)) % 0.38/0.56 (step @p41 :rule nary_cong :premises (@p40 @p36 @p35 @p32 @p30 @p27 @p26 @p23 @p22 @p21 @p19 @p17 @p16) :args (@t73)) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p15)) % 0.38/0.56 (step @p43 :rule arith_poly_norm :args ((= @t31 @t73))) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.56 (step @p45 :rule nary_cong :premises (@p25 @p44) :args (@t32)) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p14)) % 0.38/0.56 (step @p47 :rule nary_cong :premises (@p46 @p13 @p8) :args (@t74)) % 0.38/0.56 (step @p48 :rule trans :premises (@p47 @p7)) % 0.38/0.56 (step @p49 :rule arith_poly_norm :args ((= @t34 @t74))) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.56 (step @p51 :rule cong :premises (@p50 @p6) :args (@t35)) % 0.38/0.56 (step @p52 :rule trans :premises (@p51 @p5)) % 0.38/0.56 (step @p53 :rule cong :premises (@p52) :args (@t36)) % 0.38/0.56 (step @p54 :rule eq_resolve :premises (@p2 @p53)) % 0.38/0.56 (step @p55 :rule arith_poly_norm :args ((= (* 1 (- @t77 0)) (* 1 @t60)))) % 0.38/0.56 (step @p56 :rule arith_poly_norm_rel :premises (@p55) :args ((= (= @t77 0) @t63))) % 0.38/0.56 (step @p57 :rule arith_poly_norm :args ((= (+ @t81 @t80 @t45 tptp.b) @t77))) % 0.38/0.56 (step @p58 :rule arith_poly_norm :args ((= (* @t83 @t82) @t80))) % 0.38/0.56 (step @p59 :rule arith_poly_norm :args ((= (+ tptp.a -2) @t82))) % 0.38/0.56 (step @p60 :rule evaluate :args (@t84)) % 0.38/0.56 (step @p61 :rule nary_cong :premises (@p10 @p60) :args (@t85)) % 0.38/0.56 (step @p62 :rule trans :premises (@p61 @p59)) % 0.38/0.56 (step @p63 :rule arith_poly_norm :args ((= @t8 @t85))) % 0.38/0.56 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.56 (step @p65 :rule arith_poly_norm :args ((= (* @t2 @t87) @t83))) % 0.38/0.56 (step @p66 :rule arith_poly_norm :args ((= (+ @t88 1) @t87))) % 0.38/0.56 (step @p67 :rule refl :args (1)) % 0.38/0.56 (step @p68 :rule arith_poly_norm :args ((= @t9 @t88))) % 0.38/0.56 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t10)) % 0.38/0.56 (step @p70 :rule trans :premises (@p69 @p66)) % 0.38/0.56 (step @p71 :rule refl :args (@t2)) % 0.38/0.56 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t11)) % 0.38/0.56 (step @p73 :rule trans :premises (@p72 @p65)) % 0.38/0.56 (step @p74 :rule nary_cong :premises (@p73 @p64) :args (@t12)) % 0.38/0.56 (step @p75 :rule trans :premises (@p74 @p58)) % 0.38/0.56 (step @p76 :rule arith_poly_norm :args ((= (* -1 @t89) @t81))) % 0.38/0.56 (step @p77 :rule arith_poly_norm :args ((= (* @t90 @t1) @t89))) % 0.38/0.56 (step @p78 :rule refl :args (@t1)) % 0.38/0.56 (step @p79 :rule arith_poly_norm :args ((= (* -1 @t91) @t90))) % 0.38/0.56 (step @p80 :rule arith_poly_norm :args ((= @t92 @t91))) % 0.38/0.56 (step @p81 :rule arith_poly_norm :args ((= @t3 @t92))) % 0.38/0.56 (step @p82 :rule trans :premises (@p81 @p80)) % 0.38/0.56 (step @p83 :rule nary_cong :premises (@p25 @p82) :args (@t5)) % 0.38/0.56 (step @p84 :rule trans :premises (@p83 @p79)) % 0.38/0.56 (step @p85 :rule nary_cong :premises (@p84 @p78) :args (@t6)) % 0.38/0.56 (step @p86 :rule trans :premises (@p85 @p77)) % 0.38/0.56 (step @p87 :rule nary_cong :premises (@p25 @p86) :args (@t7)) % 0.38/0.56 (step @p88 :rule trans :premises (@p87 @p76)) % 0.38/0.56 (step @p89 :rule nary_cong :premises (@p88 @p75 @p20 @p16) :args (@t93)) % 0.38/0.56 (step @p90 :rule trans :premises (@p89 @p57)) % 0.38/0.56 (step @p91 :rule arith_poly_norm :args ((= @t14 @t93))) % 0.38/0.56 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.56 (step @p93 :rule cong :premises (@p92 @p6) :args (@t15)) % 0.38/0.56 (step @p94 :rule trans :premises (@p93 @p56)) % 0.38/0.56 (step @p95 :rule eq_resolve :premises (@p1 @p94)) % 0.38/0.56 (step @p96 false :rule contra :premises (@p95 @p54)) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------