%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS110+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:28:56 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.57s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS110+1 : TPTP v9.2.1. Released v3.1.0. % 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 : n016.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 : Tue Jun 2 05:28:24 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.57 % SZS status Unsatisfiable % 0.33/0.57 % SZS output start Proof % 0.33/0.58 ( % 0.33/0.58 (declare-sort $$unsorted 0) % 0.33/0.58 (declare-const tptp.i2003_11_14_17_21_12565 $$unsorted) % 0.33/0.58 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.ca_Ax2 (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rinvF1 (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.cpxcomp (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rf1 (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rinvS (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.33/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.33/0.58 (define @t3 () (= @t2 @t1)) % 0.33/0.58 (define @t4 () (@list @t2 @t1)) % 0.33/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.33/0.58 (define @t6 () (@list @t2 @t1 @t5)) % 0.33/0.58 (define @t7 () (@var "X" $$unsorted)) % 0.33/0.58 (define @t8 () (@list @t7)) % 0.33/0.58 (define @t9 () (@var "Y" $$unsorted)) % 0.33/0.58 (define @t10 () (tptp.cpxcomp @t9)) % 0.33/0.58 (define @t11 () (tptp.rs @t7 @t9)) % 0.33/0.58 (define @t12 () (@list @t9)) % 0.33/0.58 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.33/0.58 (define @t14 () (tptp.ca_Ax2 @t9)) % 0.33/0.58 (define @t15 () (and @t11 @t14)) % 0.33/0.58 (define @t16 () (exists @t12 @t15)) % 0.33/0.58 (define @t17 () (and @t16 @t13)) % 0.33/0.58 (define @t18 () (tptp.cUnsatisfiable @t7)) % 0.33/0.58 (define @t19 () (= @t18 @t17)) % 0.33/0.58 (define @t20 () (forall @t8 @t19)) % 0.33/0.58 (define @t21 () (tptp.ra_Px1 @t7 @t9)) % 0.33/0.58 (define @t22 () (exists @t12 @t21)) % 0.33/0.58 (define @t23 () (not @t22)) % 0.33/0.58 (define @t24 () (tptp.cp @t7)) % 0.33/0.58 (define @t25 () (= @t24 @t23)) % 0.33/0.58 (define @t26 () (forall @t8 @t25)) % 0.33/0.58 (define @t27 () (@var "Y0" $$unsorted)) % 0.33/0.58 (define @t28 () (tptp.ra_Px1 @t7 @t27)) % 0.33/0.58 (define @t29 () (@list @t27)) % 0.33/0.58 (define @t30 () (exists @t29 @t28)) % 0.33/0.58 (define @t31 () (tptp.cpxcomp @t7)) % 0.33/0.58 (define @t32 () (= @t31 @t30)) % 0.33/0.58 (define @t33 () (forall @t8 @t32)) % 0.33/0.58 (define @t34 () (tptp.cp @t9)) % 0.33/0.58 (define @t35 () (tptp.rinvS @t7 @t9)) % 0.33/0.58 (define @t36 () (and @t35 @t34)) % 0.33/0.58 (define @t37 () (exists @t12 @t36)) % 0.33/0.58 (define @t38 () (and @t24 @t37)) % 0.33/0.58 (define @t39 () (tptp.ca_Ax2 @t7)) % 0.33/0.58 (define @t40 () (= @t39 @t38)) % 0.33/0.58 (define @t41 () (forall @t8 @t40)) % 0.33/0.58 (define @t42 () (@var "Z" $$unsorted)) % 0.33/0.58 (define @t43 () (= @t9 @t42)) % 0.33/0.58 (define @t44 () (tptp.rf @t7 @t9)) % 0.33/0.58 (define @t45 () (@list @t7 @t9 @t42)) % 0.33/0.58 (define @t46 () (tptp.rf1 @t7 @t9)) % 0.33/0.58 (define @t47 () (@list @t7 @t9)) % 0.33/0.58 (define @t48 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_12565)) % 0.33/0.58 (define @t49 () (forall @t12 (not @t21))) % 0.33/0.58 (define @t50 () (not (tptp.rs tptp.i2003_11_14_17_21_12565 @t9))) % 0.33/0.58 (define @t51 () (forall @t12 (or @t50 (not @t14)))) % 0.33/0.58 (define @t52 () (@quantifiers_skolemize @t51 0)) % 0.33/0.58 (define @t53 () (@list @t52)) % 0.33/0.58 (define @t54 () (forall @t12 (not @t36))) % 0.33/0.58 (define @t55 () (not @t54)) % 0.33/0.58 (define @t56 () (forall @t12 (not @t15))) % 0.33/0.58 (define @t57 () (not @t56)) % 0.33/0.58 (define @t58 () (forall @t12 (or @t50 @t10))) % 0.33/0.58 (define @t59 () (not @t51)) % 0.33/0.58 (define @t60 () (and @t59 @t58)) % 0.33/0.58 (define @t61 () (= @t48 @t60)) % 0.33/0.58 (define @t62 () (@list false false)) % 0.33/0.58 (define @t63 () (not @t60)) % 0.33/0.58 (define @t64 () (@list false)) % 0.33/0.58 (define @t65 () (@list @t60)) % 0.33/0.58 (define @t66 () (tptp.ca_Ax2 @t52)) % 0.33/0.58 (define @t67 () (not @t66)) % 0.33/0.58 (define @t68 () (tptp.rs tptp.i2003_11_14_17_21_12565 @t52)) % 0.33/0.58 (define @t69 () (not @t68)) % 0.33/0.58 (define @t70 () (or @t69 @t67)) % 0.33/0.58 (define @t71 () (@list true)) % 0.33/0.58 (define @t72 () (@list @t70)) % 0.33/0.58 (define @t73 () (tptp.cp @t52)) % 0.33/0.58 (define @t74 () (and @t73 (not (forall @t12 (or (not (tptp.rinvS @t52 @t9)) (not @t34)))))) % 0.33/0.58 (define @t75 () (= @t66 @t74)) % 0.33/0.58 (define @t76 () (forall @t12 (not (tptp.ra_Px1 @t52 @t9)))) % 0.33/0.58 (define @t77 () (= @t73 @t76)) % 0.33/0.58 (define @t78 () (tptp.cpxcomp @t52)) % 0.33/0.58 (define @t79 () (or @t69 @t78)) % 0.33/0.58 (define @t80 () (forall @t29 (not (tptp.ra_Px1 @t52 @t27)))) % 0.33/0.58 (define @t81 () (not @t80)) % 0.33/0.58 (define @t82 () (= @t78 @t81)) % 0.33/0.58 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.33/0.58 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Ax2 @t2)) (tptp.ca_Ax2 @t1)))) % 0.33/0.58 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.33/0.58 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.33/0.58 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.33/0.58 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cpxcomp @t2)) (tptp.cpxcomp @t1)))) % 0.33/0.58 (assume @p7 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.33/0.58 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.33/0.58 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.33/0.58 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.33/0.58 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf1 @t2 @t5)) (tptp.rf1 @t1 @t5)))) % 0.33/0.58 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rf1 @t5 @t2)) (tptp.rf1 @t5 @t1)))) % 0.33/0.58 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.33/0.58 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.33/0.58 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t2 @t5)) (tptp.rinvF1 @t1 @t5)))) % 0.33/0.58 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t5 @t2)) (tptp.rinvF1 @t5 @t1)))) % 0.33/0.58 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rinvS @t2 @t5)) (tptp.rinvS @t1 @t5)))) % 0.33/0.58 (assume @p18 (forall @t6 (=> (and @t3 (tptp.rinvS @t5 @t2)) (tptp.rinvS @t5 @t1)))) % 0.33/0.58 (assume @p19 (forall @t6 (=> (and @t3 (tptp.rs @t2 @t5)) (tptp.rs @t1 @t5)))) % 0.33/0.58 (assume @p20 (forall @t6 (=> (and @t3 (tptp.rs @t5 @t2)) (tptp.rs @t5 @t1)))) % 0.33/0.58 (assume @p21 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.33/0.58 (assume @p22 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.33/0.58 (assume @p23 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.33/0.58 (assume @p24 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.33/0.58 (assume @p25 @t20) % 0.33/0.58 (assume @p26 @t26) % 0.33/0.58 (assume @p27 @t33) % 0.33/0.58 (assume @p28 @t41) % 0.33/0.58 (assume @p29 (forall @t45 (=> (and @t44 (tptp.rf @t7 @t42)) @t43))) % 0.33/0.58 (assume @p30 (forall @t45 (=> (and @t46 (tptp.rf1 @t7 @t42)) @t43))) % 0.33/0.58 (assume @p31 (forall @t47 (= (tptp.rinvF @t7 @t9) (tptp.rf @t9 @t7)))) % 0.33/0.58 (assume @p32 (forall @t47 (= (tptp.rinvF1 @t7 @t9) (tptp.rf1 @t9 @t7)))) % 0.33/0.58 (assume @p33 (forall @t47 (= @t35 (tptp.rs @t9 @t7)))) % 0.33/0.58 (assume @p34 (forall @t45 (=> (and @t11 (tptp.rs @t7 @t42)) @t43))) % 0.33/0.58 (assume @p35 @t48) % 0.33/0.58 (assume @p36 (forall @t47 (=> @t11 @t44))) % 0.33/0.58 (assume @p37 (forall @t47 (=> @t11 @t46))) % 0.33/0.58 (step @p38 :rule bool-double-not-elim :args (@t49)) % 0.33/0.58 (step @p39 :rule exists-elim :args ((= @t22 (not @t49)))) % 0.33/0.58 (step @p40 :rule cong :premises (@p39) :args (@t23)) % 0.33/0.58 (step @p41 :rule trans :premises (@p40 @p38)) % 0.33/0.58 (step @p42 :rule refl :args (@t24)) % 0.33/0.58 (step @p43 :rule cong :premises (@p42 @p41) :args (@t25)) % 0.33/0.58 (step @p44 :rule cong :premises (@p43) :args (@t26)) % 0.33/0.58 (step @p45 :rule eq_resolve :premises (@p26 @p44)) % 0.33/0.58 (step @p46 :rule instantiate :premises (@p45) :args (@t53)) % 0.33/0.58 (step @p47 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.33/0.58 (step @p48 :rule cong :premises (@p47) :args (@t54)) % 0.33/0.58 (step @p49 :rule cong :premises (@p48) :args (@t55)) % 0.33/0.58 (step @p50 :rule exists-elim :args ((= @t37 @t55))) % 0.33/0.58 (step @p51 :rule trans :premises (@p50 @p49)) % 0.33/0.58 (step @p52 :rule nary_cong :premises (@p42 @p51) :args (@t38)) % 0.33/0.58 (step @p53 :rule refl :args (@t39)) % 0.33/0.58 (step @p54 :rule cong :premises (@p53 @p52) :args (@t40)) % 0.33/0.58 (step @p55 :rule cong :premises (@p54) :args (@t41)) % 0.33/0.58 (step @p56 :rule eq_resolve :premises (@p28 @p55)) % 0.33/0.58 (step @p57 :rule instantiate :premises (@p56) :args (@t53)) % 0.33/0.58 (step @p58 :rule bool-impl-elim :args (@t11 @t10)) % 0.33/0.58 (step @p59 :rule cong :premises (@p58) :args (@t13)) % 0.33/0.58 (step @p60 :rule bool-and-de-morgan :args (@t11 @t14 true)) % 0.33/0.58 (step @p61 :rule cong :premises (@p60) :args (@t56)) % 0.33/0.58 (step @p62 :rule cong :premises (@p61) :args (@t57)) % 0.33/0.58 (step @p63 :rule exists-elim :args ((= @t16 @t57))) % 0.33/0.58 (step @p64 :rule trans :premises (@p63 @p62)) % 0.33/0.58 (step @p65 :rule nary_cong :premises (@p64 @p59) :args (@t17)) % 0.33/0.58 (step @p66 :rule refl :args (@t18)) % 0.33/0.58 (step @p67 :rule cong :premises (@p66 @p65) :args (@t19)) % 0.33/0.58 (step @p68 :rule cong :premises (@p67) :args (@t20)) % 0.33/0.58 (step @p69 :rule eq_resolve :premises (@p25 @p68)) % 0.33/0.58 (step @p70 :rule instantiate :premises (@p69) :args ((@list tptp.i2003_11_14_17_21_12565))) % 0.33/0.58 (step @p71 :rule cnf_equiv_pos1 :args (@t61)) % 0.33/0.58 (step @p72 :rule reordering :premises (@p71) :args ((or (not @t48) @t60 (not @t61)))) % 0.33/0.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p35 @p70) :args (@t60 @t62 (@list @t48 @t61))) % 0.33/0.58 (step @p74 :rule cnf_and_pos :args (@t60 0)) % 0.33/0.58 (step @p75 :rule reordering :premises (@p74) :args ((or @t59 @t63))) % 0.33/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p73) :args (@t59 @t64 @t65)) % 0.33/0.58 (step @p77 :rule skolemize :premises (@p76)) % 0.33/0.58 (step @p78 :rule bool-double-not-elim :args (@t66)) % 0.33/0.58 (step @p79 :rule refl :args (@t70)) % 0.33/0.58 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t70 (not @t67)))) % 0.33/0.58 (step @p81 :rule cnf_or_neg :args (@t70 1)) % 0.33/0.58 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.33/0.58 (step @p83 :rule reordering :premises (@p82) :args ((or @t66 @t70))) % 0.33/0.58 (step @p84 :rule chain_m_resolution :premises (@p83 @p77) :args (@t66 @t71 @t72)) % 0.33/0.58 (step @p85 :rule cnf_equiv_pos1 :args (@t75)) % 0.33/0.58 (step @p86 :rule reordering :premises (@p85) :args ((or @t67 @t74 (not @t75)))) % 0.33/0.58 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p57) :args (@t74 @t62 (@list @t66 @t75))) % 0.33/0.58 (step @p88 :rule cnf_and_pos :args (@t74 0)) % 0.33/0.58 (step @p89 :rule reordering :premises (@p88) :args ((or @t73 (not @t74)))) % 0.33/0.58 (step @p90 :rule chain_m_resolution :premises (@p89 @p87) :args (@t73 @t64 (@list @t74))) % 0.33/0.58 (step @p91 :rule cnf_equiv_pos1 :args (@t77)) % 0.33/0.58 (step @p92 :rule reordering :premises (@p91) :args ((or (not @t73) @t76 (not @t77)))) % 0.33/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p46) :args (@t76 @t62 (@list @t73 @t77))) % 0.33/0.58 (step @p94 :rule exists-elim :args ((= @t30 (not (forall @t29 (not @t28)))))) % 0.33/0.58 (step @p95 :rule refl :args (@t31)) % 0.33/0.58 (step @p96 :rule cong :premises (@p95 @p94) :args (@t32)) % 0.33/0.58 (step @p97 :rule cong :premises (@p96) :args (@t33)) % 0.33/0.58 (step @p98 :rule eq_resolve :premises (@p27 @p97)) % 0.33/0.58 (step @p99 :rule instantiate :premises (@p98) :args (@t53)) % 0.33/0.58 (step @p100 :rule cnf_and_pos :args (@t60 1)) % 0.33/0.58 (step @p101 :rule reordering :premises (@p100) :args ((or @t58 @t63))) % 0.33/0.58 (step @p102 :rule chain_m_resolution :premises (@p101 @p73) :args (@t58 @t64 @t65)) % 0.33/0.58 (step @p103 :rule instantiate :premises (@p102) :args (@t53)) % 0.33/0.58 (step @p104 :rule bool-double-not-elim :args (@t68)) % 0.33/0.58 (step @p105 :rule nary_cong :premises (@p79 @p104) :args ((or @t70 (not @t69)))) % 0.33/0.58 (step @p106 :rule cnf_or_neg :args (@t70 0)) % 0.33/0.58 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.33/0.58 (step @p108 :rule reordering :premises (@p107) :args ((or @t68 @t70))) % 0.33/0.58 (step @p109 :rule chain_m_resolution :premises (@p108 @p77) :args (@t68 @t71 @t72)) % 0.33/0.58 (step @p110 :rule cnf_or_pos :args (@t79)) % 0.33/0.58 (step @p111 :rule reordering :premises (@p110) :args ((or @t69 @t78 (not @t79)))) % 0.33/0.58 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p103) :args (@t78 @t62 (@list @t68 @t79))) % 0.33/0.58 (step @p113 :rule cnf_equiv_pos1 :args (@t82)) % 0.33/0.58 (step @p114 :rule reordering :premises (@p113) :args ((or (not @t78) @t81 (not @t82)))) % 0.33/0.58 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p99) :args (@t81 @t62 (@list @t78 @t82))) % 0.33/0.58 (step @p116 :rule alpha_equiv :args (@t76 (@list @t9) (@list @t27))) % 0.33/0.58 (step @p117 :rule equiv_elim1 :premises (@p116)) % 0.33/0.58 (step @p118 :rule reordering :premises (@p117) :args ((or @t80 (not @t76)))) % 0.33/0.58 (step @p119 false :rule chain_m_resolution :premises (@p118 @p115 @p93) :args (false (@list true false) (@list @t80 @t76))) % 0.33/0.58 ) % 0.33/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------