0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM 0.13/0.34 % Computer : n029.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Fri Sep 5 12:30:07 EDT 2025 0.13/0.34 % CPUTime : 0.20/0.49 %----Proving TF0_ARI 0.35/0.56 --- Run --finite-model-find --decision=internal at 18... 0.35/0.56 % SZS status Theorem 0.35/0.56 % SZS output start Proof 0.35/0.56 ( 0.35/0.56 (declare-const tptp.b Int) 0.35/0.56 (declare-const tptp.c Int) 0.35/0.56 (declare-const tptp.a Int) 0.35/0.56 (declare-const tptp.d Int) 0.35/0.56 (define @t1 () (* tptp.d tptp.a)) 0.35/0.56 (define @t2 () (* @t1 tptp.a)) 0.35/0.56 (define @t3 () (- 1)) 0.35/0.56 (define @t4 () (* @t3 @t2)) 0.35/0.56 (define @t5 () (* tptp.d tptp.c)) 0.35/0.56 (define @t6 () (* tptp.c tptp.b)) 0.35/0.56 (define @t7 () (* @t6 tptp.a)) 0.35/0.56 (define @t8 () (* tptp.d tptp.b)) 0.35/0.56 (define @t9 () (* 2 @t1)) 0.35/0.56 (define @t10 () (* tptp.c tptp.a)) 0.35/0.56 (define @t11 () (* @t10 tptp.a)) 0.35/0.56 (define @t12 () (* tptp.c tptp.c)) 0.35/0.56 (define @t13 () (* @t3 @t10)) 0.35/0.56 (define @t14 () (* 2 tptp.c)) 0.35/0.56 (define @t15 () (* tptp.b tptp.a)) 0.35/0.56 (define @t16 () (* tptp.a tptp.a)) 0.35/0.56 (define @t17 () (* 2 @t16)) 0.35/0.56 (define @t18 () (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ @t17 tptp.b) @t15) @t8) @t14) @t13) @t12) @t11) tptp.d) @t9) @t8) @t7) @t5) @t4) tptp.d)) 0.35/0.56 (define @t19 () (* @t3 @t18)) 0.35/0.56 (define @t20 () (* @t8 tptp.a)) 0.35/0.56 (define @t21 () (+ (+ @t20 @t6) @t19)) 0.35/0.56 (define @t22 () (= @t21 0)) 0.35/0.56 (define @t23 () (not @t22)) 0.35/0.56 (define @t24 () (+ 2 tptp.c)) 0.35/0.56 (define @t25 () (+ tptp.a tptp.b)) 0.35/0.56 (define @t26 () (+ (+ @t25 tptp.c) tptp.d)) 0.35/0.56 (define @t27 () (* @t3 @t26)) 0.35/0.56 (define @t28 () (* @t27 @t24)) 0.35/0.56 (define @t29 () (* @t3 @t28)) 0.35/0.56 (define @t30 () (- tptp.a 2)) 0.35/0.56 (define @t31 () (- tptp.c tptp.d)) 0.35/0.56 (define @t32 () (+ @t31 1)) 0.35/0.56 (define @t33 () (* @t25 @t32)) 0.35/0.56 (define @t34 () (* @t33 @t30)) 0.35/0.56 (define @t35 () (+ (+ (+ @t16 @t34) tptp.b) @t29)) 0.35/0.56 (define @t36 () (= @t35 0)) 0.35/0.56 (define @t37 () (* tptp.a tptp.b tptp.d)) 0.35/0.56 (define @t38 () (* tptp.a tptp.b tptp.c)) 0.35/0.56 (define @t39 () (* -1 @t38)) 0.35/0.56 (define @t40 () (* tptp.a tptp.a tptp.d)) 0.35/0.56 (define @t41 () (* tptp.a tptp.a tptp.c)) 0.35/0.56 (define @t42 () (* -1 @t41)) 0.35/0.56 (define @t43 () (* tptp.c tptp.d)) 0.35/0.56 (define @t44 () (* -1 @t43)) 0.35/0.56 (define @t45 () (* tptp.c tptp.c)) 0.35/0.56 (define @t46 () (* -1 @t45)) 0.35/0.56 (define @t47 () (* tptp.b tptp.d)) 0.35/0.56 (define @t48 () (* -2 @t47)) 0.35/0.56 (define @t49 () (* tptp.b tptp.c)) 0.35/0.56 (define @t50 () (* tptp.a tptp.d)) 0.35/0.56 (define @t51 () (* -2 @t50)) 0.35/0.56 (define @t52 () (* tptp.a tptp.c)) 0.35/0.56 (define @t53 () (* tptp.a tptp.b)) 0.35/0.56 (define @t54 () (* -1 @t53)) 0.35/0.56 (define @t55 () (* tptp.a tptp.a)) 0.35/0.56 (define @t56 () (* -2 @t55)) 0.35/0.56 (define @t57 () (* -2 tptp.d)) 0.35/0.56 (define @t58 () (* -2 tptp.c)) 0.35/0.56 (define @t59 () (+ @t58 @t57 @t56 @t54 @t52 @t51 @t49 @t48 @t46 @t44 @t42 @t40 @t39 @t37)) 0.35/0.56 (define @t60 () (- tptp.b @t59)) 0.35/0.56 (define @t61 () (* -1 tptp.b)) 0.35/0.56 (define @t62 () (+ @t61 @t58 @t57 @t56 @t54 @t52 @t51 @t49 @t48 @t46 @t44 @t42 @t40 @t39 @t37)) 0.35/0.56 (define @t63 () (= tptp.b @t59)) 0.35/0.56 (define @t64 () (+ @t61 @t58 @t57 @t56 @t54 @t52 @t51 @t48 @t46 @t44 @t42 @t40 @t39)) 0.35/0.56 (define @t65 () (* -1 @t40)) 0.35/0.56 (define @t66 () (* 2 @t47)) 0.35/0.56 (define @t67 () (* 2 @t50)) 0.35/0.56 (define @t68 () (* -1 @t52)) 0.35/0.56 (define @t69 () (* 2 @t55)) 0.35/0.56 (define @t70 () (* 2 tptp.d)) 0.35/0.56 (define @t71 () (+ tptp.b @t14 @t70 @t69 @t53 @t68 @t67 @t66 @t45 @t43 @t41 @t65 @t38)) 0.35/0.56 (define @t72 () (* 2 @t8)) 0.35/0.56 (define @t73 () (+ @t4 @t5 @t7 @t9 @t11 @t12 @t13 @t14 @t15 @t17 @t72 @t70 tptp.b)) 0.35/0.56 (define @t74 () (+ @t19 @t20 @t6)) 0.35/0.56 (define @t75 () (* -1 @t37)) 0.35/0.56 (define @t76 () (* -1 @t49)) 0.35/0.56 (define @t77 () (+ tptp.b @t14 @t70 @t69 @t53 @t68 @t67 @t76 @t66 @t45 @t43 @t41 @t65 @t38 @t75)) 0.35/0.56 (define @t78 () (* -2 tptp.b)) 0.35/0.56 (define @t79 () (* -2 tptp.a)) 0.35/0.56 (define @t80 () (+ @t79 @t78 @t55 @t53 (* -2 @t52) @t67 (* -2 @t49) @t66 @t41 @t65 @t38 @t75)) 0.35/0.56 (define @t81 () (+ (* 2 tptp.a) (* 2 tptp.b) @t14 @t70 @t52 @t49 @t45 @t43)) 0.35/0.56 (define @t82 () (+ -2 tptp.a)) 0.35/0.56 (define @t83 () (+ tptp.a tptp.b @t52 (* -1 @t50) @t49 (* -1 @t47))) 0.35/0.56 (define @t84 () (* -1 2)) 0.35/0.56 (define @t85 () (+ tptp.a @t84)) 0.35/0.56 (define @t86 () (* -1 tptp.d)) 0.35/0.56 (define @t87 () (+ 1 tptp.c @t86)) 0.35/0.56 (define @t88 () (+ tptp.c @t86)) 0.35/0.56 (define @t89 () (+ @t79 @t78 @t58 @t57 @t68 @t76 @t46 @t44)) 0.35/0.56 (define @t90 () (+ (* -1 tptp.a) @t61 (* -1 tptp.c) @t86)) 0.35/0.56 (define @t91 () (+ tptp.a tptp.b tptp.c tptp.d)) 0.35/0.56 (define @t92 () (+ tptp.d tptp.c tptp.b tptp.a)) 0.35/0.56 (define @t93 () (+ @t29 @t34 @t16 tptp.b)) 0.35/0.56 (assume @p1 @t23) 0.35/0.56 (assume @p2 @t36) 0.35/0.56 (assume @p3 true) 0.35/0.56 (step @p4 :rule arith_poly_norm :args ((= (* 1 (- @t62 0)) (* -1 @t60)))) 0.35/0.56 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= (= @t62 0) @t63))) 0.35/0.56 (step @p6 :rule refl :args (0)) 0.35/0.56 (step @p7 :rule arith_poly_norm :args ((= (+ @t64 @t37 @t49) @t62))) 0.35/0.56 (step @p8 :rule arith_poly_norm :args ((= @t6 @t49))) 0.35/0.56 (step @p9 :rule arith_poly_norm :args ((= (* @t47 tptp.a) @t37))) 0.35/0.56 (step @p10 :rule refl :args (tptp.a)) 0.35/0.56 (step @p11 :rule arith_poly_norm :args ((= @t8 @t47))) 0.35/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t20)) 0.35/0.56 (step @p13 :rule trans :premises (@p12 @p9)) 0.35/0.56 (step @p14 :rule arith_poly_norm :args ((= (* -1 @t71) @t64))) 0.35/0.56 (step @p15 :rule arith_poly_norm :args ((= (+ @t65 @t43 @t38 @t67 @t41 @t45 @t68 @t14 @t53 @t69 @t66 @t70 tptp.b) @t71))) 0.35/0.56 (step @p16 :rule refl :args (tptp.b)) 0.35/0.56 (step @p17 :rule refl :args (@t70)) 0.35/0.56 (step @p18 :rule refl :args (2)) 0.35/0.56 (step @p19 :rule nary_cong :premises (@p18 @p11) :args (@t72)) 0.35/0.56 (step @p20 :rule arith_poly_norm :args ((= @t16 @t55))) 0.35/0.56 (step @p21 :rule nary_cong :premises (@p18 @p20) :args (@t17)) 0.35/0.56 (step @p22 :rule arith_poly_norm :args ((= @t15 @t53))) 0.35/0.56 (step @p23 :rule refl :args (@t14)) 0.35/0.56 (step @p24 :rule arith_poly_norm :args ((= @t10 @t52))) 0.35/0.56 (step @p25 :rule evaluate :args (@t3)) 0.35/0.56 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t13)) 0.35/0.56 (step @p27 :rule arith_poly_norm :args ((= @t12 @t45))) 0.35/0.56 (step @p28 :rule arith_poly_norm :args ((= (* @t52 tptp.a) @t41))) 0.35/0.56 (step @p29 :rule nary_cong :premises (@p24 @p10) :args (@t11)) 0.35/0.56 (step @p30 :rule trans :premises (@p29 @p28)) 0.35/0.56 (step @p31 :rule arith_poly_norm :args ((= @t1 @t50))) 0.35/0.56 (step @p32 :rule nary_cong :premises (@p18 @p31) :args (@t9)) 0.35/0.56 (step @p33 :rule arith_poly_norm :args ((= (* @t49 tptp.a) @t38))) 0.35/0.56 (step @p34 :rule nary_cong :premises (@p8 @p10) :args (@t7)) 0.35/0.56 (step @p35 :rule trans :premises (@p34 @p33)) 0.35/0.56 (step @p36 :rule arith_poly_norm :args ((= @t5 @t43))) 0.35/0.56 (step @p37 :rule arith_poly_norm :args ((= (* @t50 tptp.a) @t40))) 0.35/0.56 (step @p38 :rule nary_cong :premises (@p31 @p10) :args (@t2)) 0.35/0.56 (step @p39 :rule trans :premises (@p38 @p37)) 0.35/0.56 (step @p40 :rule nary_cong :premises (@p25 @p39) :args (@t4)) 0.35/0.56 (step @p41 :rule nary_cong :premises (@p40 @p36 @p35 @p32 @p30 @p27 @p26 @p23 @p22 @p21 @p19 @p17 @p16) :args (@t73)) 0.35/0.56 (step @p42 :rule trans :premises (@p41 @p15)) 0.35/0.56 (step @p43 :rule arith_poly_norm :args ((= @t18 @t73))) 0.35/0.56 (step @p44 :rule trans :premises (@p43 @p42)) 0.35/0.56 (step @p45 :rule nary_cong :premises (@p25 @p44) :args (@t19)) 0.35/0.56 (step @p46 :rule trans :premises (@p45 @p14)) 0.35/0.56 (step @p47 :rule nary_cong :premises (@p46 @p13 @p8) :args (@t74)) 0.35/0.56 (step @p48 :rule trans :premises (@p47 @p7)) 0.35/0.56 (step @p49 :rule arith_poly_norm :args ((= @t21 @t74))) 0.35/0.56 (step @p50 :rule trans :premises (@p49 @p48)) 0.35/0.56 (step @p51 :rule cong :premises (@p50 @p6) :args (@t22)) 0.35/0.56 (step @p52 :rule trans :premises (@p51 @p5)) 0.35/0.56 (step @p53 :rule cong :premises (@p52) :args (@t23)) 0.35/0.56 (step @p54 :rule eq_resolve :premises (@p1 @p53)) 0.35/0.56 (step @p55 :rule arith_poly_norm :args ((= (* 1 (- @t77 0)) (* 1 @t60)))) 0.35/0.56 (step @p56 :rule arith_poly_norm_rel :premises (@p55) :args ((= (= @t77 0) @t63))) 0.35/0.56 (step @p57 :rule arith_poly_norm :args ((= (+ @t81 @t80 @t55 tptp.b) @t77))) 0.35/0.56 (step @p58 :rule arith_poly_norm :args ((= (* @t83 @t82) @t80))) 0.35/0.56 (step @p59 :rule arith_poly_norm :args ((= (+ tptp.a -2) @t82))) 0.35/0.56 (step @p60 :rule evaluate :args (@t84)) 0.35/0.56 (step @p61 :rule nary_cong :premises (@p10 @p60) :args (@t85)) 0.35/0.56 (step @p62 :rule trans :premises (@p61 @p59)) 0.35/0.56 (step @p63 :rule arith_poly_norm :args ((= @t30 @t85))) 0.35/0.56 (step @p64 :rule trans :premises (@p63 @p62)) 0.35/0.56 (step @p65 :rule arith_poly_norm :args ((= (* @t25 @t87) @t83))) 0.35/0.56 (step @p66 :rule arith_poly_norm :args ((= (+ @t88 1) @t87))) 0.35/0.56 (step @p67 :rule refl :args (1)) 0.35/0.56 (step @p68 :rule arith_poly_norm :args ((= @t31 @t88))) 0.35/0.56 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t32)) 0.35/0.56 (step @p70 :rule trans :premises (@p69 @p66)) 0.35/0.56 (step @p71 :rule refl :args (@t25)) 0.35/0.56 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t33)) 0.35/0.56 (step @p73 :rule trans :premises (@p72 @p65)) 0.35/0.56 (step @p74 :rule nary_cong :premises (@p73 @p64) :args (@t34)) 0.35/0.56 (step @p75 :rule trans :premises (@p74 @p58)) 0.35/0.56 (step @p76 :rule arith_poly_norm :args ((= (* -1 @t89) @t81))) 0.35/0.56 (step @p77 :rule arith_poly_norm :args ((= (* @t90 @t24) @t89))) 0.35/0.56 (step @p78 :rule refl :args (@t24)) 0.35/0.56 (step @p79 :rule arith_poly_norm :args ((= (* -1 @t91) @t90))) 0.35/0.56 (step @p80 :rule arith_poly_norm :args ((= @t92 @t91))) 0.35/0.56 (step @p81 :rule arith_poly_norm :args ((= @t26 @t92))) 0.35/0.56 (step @p82 :rule trans :premises (@p81 @p80)) 0.35/0.56 (step @p83 :rule nary_cong :premises (@p25 @p82) :args (@t27)) 0.35/0.56 (step @p84 :rule trans :premises (@p83 @p79)) 0.35/0.56 (step @p85 :rule nary_cong :premises (@p84 @p78) :args (@t28)) 0.35/0.56 (step @p86 :rule trans :premises (@p85 @p77)) 0.35/0.56 (step @p87 :rule nary_cong :premises (@p25 @p86) :args (@t29)) 0.35/0.56 (step @p88 :rule trans :premises (@p87 @p76)) 0.35/0.56 (step @p89 :rule nary_cong :premises (@p88 @p75 @p20 @p16) :args (@t93)) 0.35/0.56 (step @p90 :rule trans :premises (@p89 @p57)) 0.35/0.56 (step @p91 :rule arith_poly_norm :args ((= @t35 @t93))) 0.35/0.56 (step @p92 :rule trans :premises (@p91 @p90)) 0.35/0.56 (step @p93 :rule cong :premises (@p92 @p6) :args (@t36)) 0.35/0.56 (step @p94 :rule trans :premises (@p93 @p56)) 0.35/0.56 (step @p95 :rule eq_resolve :premises (@p2 @p94)) 0.35/0.56 (step @p96 false :rule contra :premises (@p95 @p54)) 0.35/0.56 ) 0.35/0.56 % SZS output end Proof 0.35/0.56 % cvc5 exiting 0.35/0.57 EOF