%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HWV001-1 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:23:01 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.85s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : HWV001-1 : TPTP v9.2.1. Released v1.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n011.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 02:17:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.85 % SZS status Unsatisfiable % 0.35/0.85 % SZS output start Proof % 0.35/0.85 ( % 0.35/0.85 (declare-sort $$unsorted 0) % 0.35/0.85 (declare-const tptp.input (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.85 (declare-const tptp.output (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.85 (declare-const tptp.f1 $$unsorted) % 0.35/0.85 (declare-const tptp.e1 $$unsorted) % 0.35/0.85 (declare-const tptp.f3 $$unsorted) % 0.35/0.85 (declare-const tptp.d3 $$unsorted) % 0.35/0.85 (declare-const tptp.c1 $$unsorted) % 0.35/0.85 (declare-const tptp.f2 $$unsorted) % 0.35/0.85 (declare-const tptp.n0 $$unsorted) % 0.35/0.85 (declare-const tptp.a2 $$unsorted) % 0.35/0.85 (declare-const tptp.circuit (-> $$unsorted $$unsorted Bool)) % 0.35/0.85 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.35/0.85 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.85 (declare-const tptp.n1 $$unsorted) % 0.35/0.85 (declare-const tptp.i1 $$unsorted) % 0.35/0.85 (declare-const tptp.d1 $$unsorted) % 0.35/0.85 (declare-const tptp.e2 $$unsorted) % 0.35/0.85 (declare-const tptp.b1 $$unsorted) % 0.35/0.85 (declare-const tptp.b3 $$unsorted) % 0.35/0.85 (declare-const tptp.a1 $$unsorted) % 0.35/0.85 (declare-const tptp.b2 $$unsorted) % 0.35/0.85 (declare-const tptp.i2 $$unsorted) % 0.35/0.85 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.85 (declare-const tptp.d2 $$unsorted) % 0.35/0.85 (declare-const tptp.c2 $$unsorted) % 0.35/0.85 (define @t1 () (@var "X" $$unsorted)) % 0.35/0.85 (define @t2 () (@list @t1)) % 0.35/0.85 (define @t3 () (@var "Y" $$unsorted)) % 0.35/0.85 (define @t4 () (tptp.and @t1 @t3)) % 0.35/0.85 (define @t5 () (@list @t1 @t3)) % 0.35/0.85 (define @t6 () (tptp.or @t1 @t3)) % 0.35/0.85 (define @t7 () (@var "Z" $$unsorted)) % 0.35/0.85 (define @t8 () (tptp.and @t4 @t7)) % 0.35/0.85 (define @t9 () (tptp.and @t3 @t7)) % 0.35/0.85 (define @t10 () (@list @t1 @t3 @t7)) % 0.35/0.85 (define @t11 () (tptp.or @t6 @t7)) % 0.35/0.85 (define @t12 () (tptp.and @t1 @t7)) % 0.35/0.85 (define @t13 () (tptp.not @t3)) % 0.35/0.85 (define @t14 () (tptp.not @t1)) % 0.35/0.85 (define @t15 () (forall @t5 (= (tptp.not @t6) (tptp.and @t14 @t13)))) % 0.35/0.85 (define @t16 () (tptp.and @t4 @t1)) % 0.35/0.85 (define @t17 () (forall @t5 (= @t16 @t4))) % 0.35/0.85 (define @t18 () (tptp.or @t6 @t1)) % 0.35/0.85 (define @t19 () (forall @t5 (= @t18 @t6))) % 0.35/0.85 (define @t20 () (tptp.not @t14)) % 0.35/0.85 (define @t21 () (forall @t2 (= @t20 @t1))) % 0.35/0.85 (define @t22 () (tptp.or @t4 (tptp.and @t1 @t13))) % 0.35/0.85 (define @t23 () (forall @t5 (= @t22 @t1))) % 0.35/0.85 (define @t24 () (tptp.or @t4 (tptp.and @t3 @t14))) % 0.35/0.85 (define @t25 () (forall @t5 (= @t24 @t3))) % 0.35/0.85 (define @t26 () (tptp.and tptp.b1 tptp.b3)) % 0.35/0.86 (define @t27 () (tptp.and tptp.b2 tptp.b3)) % 0.35/0.86 (define @t28 () (tptp.not tptp.d1)) % 0.35/0.86 (define @t29 () (tptp.not tptp.d2)) % 0.35/0.86 (define @t30 () (tptp.or tptp.c1 tptp.c2)) % 0.35/0.86 (define @t31 () (tptp.or tptp.d2 tptp.d3)) % 0.35/0.86 (define @t32 () (tptp.not tptp.e1)) % 0.35/0.86 (define @t33 () (tptp.not tptp.e2)) % 0.35/0.86 (define @t34 () (tptp.or tptp.f2 tptp.f3)) % 0.35/0.86 (define @t35 () (tptp.not tptp.i1)) % 0.35/0.86 (define @t36 () (tptp.not tptp.i2)) % 0.35/0.86 (define @t37 () (tptp.and tptp.i1 tptp.i2)) % 0.35/0.86 (define @t38 () (tptp.output tptp.a1 tptp.a2)) % 0.35/0.86 (define @t39 () (tptp.input tptp.i1 tptp.i2)) % 0.35/0.86 (define @t40 () (tptp.circuit @t39 @t38)) % 0.35/0.86 (define @t41 () (tptp.not tptp.f1)) % 0.35/0.86 (define @t42 () (tptp.not tptp.f3)) % 0.35/0.86 (define @t43 () (@list tptp.i1 tptp.i2)) % 0.35/0.86 (define @t44 () (tptp.or tptp.d3 tptp.d1)) % 0.35/0.86 (define @t45 () (@list tptp.d1 tptp.d3)) % 0.35/0.86 (define @t46 () (tptp.not tptp.d3)) % 0.35/0.86 (define @t47 () (tptp.not @t46)) % 0.35/0.86 (define @t48 () (tptp.not @t28)) % 0.35/0.86 (define @t49 () (tptp.not tptp.c1)) % 0.35/0.86 (define @t50 () (tptp.not @t31)) % 0.35/0.86 (define @t51 () (tptp.and @t49 @t50)) % 0.35/0.86 (define @t52 () (tptp.and @t49 @t31)) % 0.35/0.86 (define @t53 () (tptp.not tptp.c2)) % 0.35/0.86 (define @t54 () (tptp.and @t49 @t53)) % 0.35/0.86 (define @t55 () (tptp.not @t54)) % 0.35/0.86 (define @t56 () (@list tptp.d2 tptp.d3)) % 0.35/0.86 (define @t57 () (tptp.not tptp.f2)) % 0.35/0.86 (define @t58 () (tptp.not @t37)) % 0.35/0.86 (define @t59 () (tptp.and @t57 @t58)) % 0.35/0.86 (define @t60 () (tptp.and @t37 @t57)) % 0.35/0.86 (define @t61 () (tptp.and tptp.i2 @t35)) % 0.35/0.86 (define @t62 () (tptp.not @t61)) % 0.35/0.86 (define @t63 () (tptp.and @t62 tptp.b3)) % 0.35/0.86 (define @t64 () (tptp.and tptp.f2 tptp.b3)) % 0.35/0.86 (define @t65 () (tptp.not tptp.b3)) % 0.35/0.86 (define @t66 () (tptp.not @t30)) % 0.35/0.86 (define @t67 () (tptp.or tptp.c1 @t31)) % 0.35/0.86 (define @t68 () (@list tptp.c1 tptp.d2 tptp.d3)) % 0.35/0.86 (define @t69 () (tptp.or tptp.c1 tptp.d2)) % 0.35/0.86 (define @t70 () (tptp.not @t69)) % 0.35/0.86 (define @t71 () (tptp.and @t49 @t29)) % 0.35/0.86 (define @t72 () (= @t70 @t71)) % 0.35/0.86 (define @t73 () (@list tptp.c1 tptp.d2)) % 0.35/0.86 (define @t74 () (tptp.or @t57 @t71)) % 0.35/0.86 (define @t75 () (tptp.not tptp.b2)) % 0.35/0.86 (define @t76 () (tptp.or @t75 @t65)) % 0.35/0.86 (define @t77 () (@list tptp.b2 tptp.b3)) % 0.35/0.86 (define @t78 () (tptp.not @t27)) % 0.35/0.86 (define @t79 () (tptp.and tptp.b2 @t65)) % 0.35/0.86 (define @t80 () (tptp.and tptp.b3 tptp.b2)) % 0.35/0.86 (define @t81 () (tptp.and tptp.f1 tptp.b3)) % 0.35/0.86 (define @t82 () (tptp.or @t41 @t71)) % 0.35/0.86 (define @t83 () (tptp.not tptp.b1)) % 0.35/0.86 (define @t84 () (tptp.or @t83 @t65)) % 0.35/0.86 (assume @p1 (forall @t2 (= (tptp.and @t1 tptp.n0) tptp.n0))) % 0.35/0.86 (assume @p2 (forall @t2 (= (tptp.and @t1 tptp.n1) @t1))) % 0.35/0.86 (assume @p3 (forall @t2 (= (tptp.or @t1 tptp.n0) @t1))) % 0.35/0.86 (assume @p4 (forall @t2 (= (tptp.or @t1 tptp.n1) tptp.n1))) % 0.35/0.86 (assume @p5 (= (tptp.not tptp.n0) tptp.n1)) % 0.35/0.86 (assume @p6 (= (tptp.not tptp.n1) tptp.n0)) % 0.35/0.86 (assume @p7 (forall @t5 (= @t4 (tptp.and @t3 @t1)))) % 0.35/0.86 (assume @p8 (forall @t5 (= @t6 (tptp.or @t3 @t1)))) % 0.35/0.86 (assume @p9 (forall @t10 (= (tptp.and @t1 @t9) @t8))) % 0.35/0.86 (assume @p10 (forall @t10 (= (tptp.or @t1 (tptp.or @t3 @t7)) @t11))) % 0.35/0.86 (assume @p11 (forall @t10 (= @t11 (tptp.or (tptp.or @t1 @t7) @t3)))) % 0.35/0.86 (assume @p12 (forall @t10 (= @t8 (tptp.and @t12 @t3)))) % 0.35/0.86 (assume @p13 (forall @t5 (= (tptp.not @t4) (tptp.or @t14 @t13)))) % 0.35/0.86 (assume @p14 @t15) % 0.35/0.86 (assume @p15 (forall @t10 (= (tptp.and @t6 @t7) (tptp.or @t12 @t9)))) % 0.35/0.86 (assume @p16 (forall @t2 (= (tptp.and @t1 @t1) @t1))) % 0.35/0.86 (assume @p17 (forall @t5 (= (tptp.and @t4 @t3) @t4))) % 0.35/0.86 (assume @p18 @t17) % 0.35/0.86 (assume @p19 (forall @t2 (= (tptp.or @t1 @t1) @t1))) % 0.35/0.86 (assume @p20 (forall @t5 (= (tptp.or @t6 @t3) @t6))) % 0.35/0.86 (assume @p21 @t19) % 0.35/0.86 (assume @p22 (forall @t2 (= (tptp.and @t1 @t14) tptp.n0))) % 0.35/0.86 (assume @p23 (forall @t5 (= (tptp.and @t4 @t13) tptp.n0))) % 0.35/0.86 (assume @p24 (forall @t5 (= (tptp.and @t4 @t14) tptp.n0))) % 0.35/0.86 (assume @p25 (forall @t2 (= (tptp.or @t1 @t14) tptp.n1))) % 0.35/0.86 (assume @p26 (forall @t5 (= (tptp.or @t6 @t13) tptp.n1))) % 0.35/0.86 (assume @p27 (forall @t5 (= (tptp.or @t6 @t14) tptp.n1))) % 0.35/0.86 (assume @p28 @t21) % 0.35/0.86 (assume @p29 @t23) % 0.35/0.86 (assume @p30 @t25) % 0.35/0.86 (assume @p31 (= tptp.a1 @t26)) % 0.35/0.86 (assume @p32 (= tptp.a2 @t27)) % 0.35/0.86 (assume @p33 (= tptp.b1 @t28)) % 0.35/0.86 (assume @p34 (= tptp.b2 @t29)) % 0.35/0.86 (assume @p35 (= tptp.b3 @t30)) % 0.35/0.86 (assume @p36 (= tptp.c1 (tptp.or tptp.d1 tptp.d3))) % 0.35/0.86 (assume @p37 (= tptp.c2 @t31)) % 0.35/0.86 (assume @p38 (= tptp.d3 tptp.f3)) % 0.35/0.86 (assume @p39 (= tptp.d1 @t32)) % 0.35/0.86 (assume @p40 (= tptp.d2 @t33)) % 0.35/0.86 (assume @p41 (= tptp.e1 (tptp.or tptp.f1 tptp.f3))) % 0.35/0.86 (assume @p42 (= tptp.e2 @t34)) % 0.35/0.86 (assume @p43 (= tptp.f1 @t35)) % 0.35/0.86 (assume @p44 (= tptp.f2 @t36)) % 0.35/0.86 (assume @p45 (= tptp.f3 @t37)) % 0.35/0.86 (assume @p46 @t40) % 0.35/0.86 (assume @p47 (not (tptp.circuit @t39 (tptp.output tptp.i2 tptp.i1)))) % 0.35/0.86 (step @p48 :rule evaluate :args ((= true false))) % 0.35/0.86 (step @p49 :rule false_intro :premises (@p47)) % 0.35/0.86 (step @p50 :rule eq-symm :args (@t20 @t1)) % 0.35/0.86 (step @p51 :rule cong :premises (@p50) :args (@t21)) % 0.35/0.86 (step @p52 :rule eq_resolve :premises (@p28 @p51)) % 0.35/0.86 (step @p53 :rule instantiate :premises (@p52) :args ((@list tptp.i1))) % 0.35/0.86 (step @p54 :rule symm :premises (@p53)) % 0.35/0.86 (step @p55 :rule cong :premises (@p43) :args (@t41)) % 0.35/0.86 (step @p56 :rule eq-symm :args (@t22 @t1)) % 0.35/0.86 (step @p57 :rule cong :premises (@p56) :args (@t23)) % 0.35/0.86 (step @p58 :rule eq_resolve :premises (@p29 @p57)) % 0.35/0.86 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t41 @t37))) % 0.35/0.86 (step @p60 :rule symm :premises (@p59)) % 0.35/0.86 (step @p61 :rule cong :premises (@p45) :args (@t42)) % 0.35/0.86 (step @p62 :rule refl :args (@t41)) % 0.35/0.86 (step @p63 :rule cong :premises (@p62 @p61) :args ((tptp.and @t41 @t42))) % 0.35/0.86 (step @p64 :rule instantiate :premises (@p14) :args ((@list tptp.f1 tptp.f3))) % 0.35/0.86 (step @p65 :rule cong :premises (@p41) :args (@t32)) % 0.35/0.86 (step @p66 :rule trans :premises (@p39 @p65 @p64 @p63)) % 0.35/0.86 (step @p67 :rule refl :args (@t37)) % 0.35/0.86 (step @p68 :rule symm :premises (@p55)) % 0.35/0.86 (step @p69 :rule trans :premises (@p53 @p68)) % 0.35/0.86 (step @p70 :rule cong :premises (@p69 @p67) :args ((tptp.and tptp.i1 @t37))) % 0.35/0.86 (step @p71 :rule instantiate :premises (@p7) :args ((@list @t37 tptp.i1))) % 0.35/0.86 (step @p72 :rule eq-symm :args (@t16 @t4)) % 0.35/0.86 (step @p73 :rule cong :premises (@p72) :args (@t17)) % 0.35/0.86 (step @p74 :rule eq_resolve :premises (@p18 @p73)) % 0.35/0.86 (step @p75 :rule instantiate :premises (@p74) :args (@t43)) % 0.35/0.86 (step @p76 :rule trans :premises (@p38 @p45 @p75 @p71 @p70)) % 0.35/0.86 (step @p77 :rule cong :premises (@p76 @p66) :args (@t44)) % 0.35/0.86 (step @p78 :rule instantiate :premises (@p8) :args (@t45)) % 0.35/0.86 (step @p79 :rule symm :premises (@p38)) % 0.35/0.86 (step @p80 :rule symm :premises (@p45)) % 0.35/0.86 (step @p81 :rule instantiate :premises (@p52) :args ((@list tptp.i2))) % 0.35/0.86 (step @p82 :rule symm :premises (@p81)) % 0.35/0.86 (step @p83 :rule cong :premises (@p54 @p82) :args ((tptp.and (tptp.not @t35) (tptp.not @t36)))) % 0.35/0.86 (step @p84 :rule instantiate :premises (@p14) :args ((@list @t35 @t36))) % 0.35/0.86 (step @p85 :rule instantiate :premises (@p13) :args (@t43)) % 0.35/0.86 (step @p86 :rule trans :premises (@p38 @p45)) % 0.35/0.86 (step @p87 :rule cong :premises (@p86) :args (@t46)) % 0.35/0.86 (step @p88 :rule trans :premises (@p87 @p85)) % 0.35/0.86 (step @p89 :rule cong :premises (@p88) :args (@t47)) % 0.35/0.86 (step @p90 :rule trans :premises (@p89 @p84 @p83 @p80 @p79)) % 0.35/0.86 (step @p91 :rule symm :premises (@p39)) % 0.35/0.86 (step @p92 :rule instantiate :premises (@p52) :args ((@list tptp.e1))) % 0.35/0.86 (step @p93 :rule symm :premises (@p92)) % 0.35/0.86 (step @p94 :rule cong :premises (@p39) :args (@t28)) % 0.35/0.86 (step @p95 :rule trans :premises (@p94 @p93)) % 0.35/0.86 (step @p96 :rule cong :premises (@p95) :args (@t48)) % 0.35/0.86 (step @p97 :rule trans :premises (@p96 @p91)) % 0.35/0.86 (step @p98 :rule cong :premises (@p97 @p90) :args ((tptp.or @t48 @t47))) % 0.35/0.86 (step @p99 :rule instantiate :premises (@p13) :args ((@list @t28 @t46))) % 0.35/0.86 (step @p100 :rule symm :premises (@p87)) % 0.35/0.86 (step @p101 :rule trans :premises (@p61 @p100)) % 0.35/0.86 (step @p102 :rule symm :premises (@p33)) % 0.35/0.86 (step @p103 :rule symm :premises (@p94)) % 0.35/0.86 (step @p104 :rule trans :premises (@p92 @p103 @p102)) % 0.35/0.86 (step @p105 :rule symm :premises (@p65)) % 0.35/0.86 (step @p106 :rule symm :premises (@p64)) % 0.35/0.86 (step @p107 :rule instantiate :premises (@p7) :args ((@list @t41 @t42))) % 0.35/0.86 (step @p108 :rule symm :premises (@p107)) % 0.35/0.86 (step @p109 :rule instantiate :premises (@p14) :args (@t45)) % 0.35/0.86 (step @p110 :rule cong :premises (@p36) :args (@t49)) % 0.35/0.86 (step @p111 :rule instantiate :premises (@p58) :args ((@list @t49 @t31))) % 0.35/0.86 (step @p112 :rule symm :premises (@p111)) % 0.35/0.86 (step @p113 :rule trans :premises (@p112 @p110 @p109)) % 0.35/0.86 (step @p114 :rule cong :premises (@p113) :args ((tptp.not (tptp.or @t52 @t51)))) % 0.35/0.86 (step @p115 :rule instantiate :premises (@p14) :args ((@list @t52 @t51))) % 0.35/0.86 (step @p116 :rule symm :premises (@p115)) % 0.35/0.86 (step @p117 :rule cong :premises (@p37) :args (@t53)) % 0.35/0.86 (step @p118 :rule refl :args (@t49)) % 0.35/0.86 (step @p119 :rule cong :premises (@p118 @p117) :args (@t54)) % 0.35/0.86 (step @p120 :rule cong :premises (@p119) :args (@t55)) % 0.35/0.86 (step @p121 :rule instantiate :premises (@p13) :args ((@list @t49 @t53))) % 0.35/0.86 (step @p122 :rule symm :premises (@p121)) % 0.35/0.86 (step @p123 :rule symm :premises (@p117)) % 0.35/0.86 (step @p124 :rule instantiate :premises (@p14) :args (@t56)) % 0.35/0.86 (step @p125 :rule symm :premises (@p124)) % 0.35/0.86 (step @p126 :rule trans :premises (@p125 @p123)) % 0.35/0.86 (step @p127 :rule cong :premises (@p126) :args ((tptp.not (tptp.and @t29 @t46)))) % 0.35/0.86 (step @p128 :rule instantiate :premises (@p13) :args ((@list @t29 @t46))) % 0.35/0.86 (step @p129 :rule symm :premises (@p128)) % 0.35/0.86 (step @p130 :rule symm :premises (@p90)) % 0.35/0.86 (step @p131 :rule symm :premises (@p40)) % 0.35/0.86 (step @p132 :rule cong :premises (@p131) :args ((tptp.not @t33))) % 0.35/0.86 (step @p133 :rule instantiate :premises (@p52) :args ((@list tptp.e2))) % 0.35/0.86 (step @p134 :rule trans :premises (@p133 @p132)) % 0.35/0.86 (step @p135 :rule cong :premises (@p134) :args (@t33)) % 0.35/0.86 (step @p136 :rule trans :premises (@p40 @p135)) % 0.35/0.86 (step @p137 :rule 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