%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS109+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 : n006.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 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS109+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 % 0.18/0.35 % Computer : n006.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 05:27:49 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Unsatisfiable % 0.39/0.58 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.i2003_11_14_17_21_08508 $$unsorted) % 0.39/0.59 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ca_Ax2 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ca_Vx3 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.rinvF1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cpxcomp (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.rf1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.rinvS (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.59 (define @t3 () (= @t2 @t1)) % 0.39/0.59 (define @t4 () (@list @t2 @t1)) % 0.39/0.59 (define @t5 () (@var "C" $$unsorted)) % 0.39/0.59 (define @t6 () (@list @t2 @t1 @t5)) % 0.39/0.59 (define @t7 () (@var "X" $$unsorted)) % 0.39/0.59 (define @t8 () (@list @t7)) % 0.39/0.59 (define @t9 () (@var "Y" $$unsorted)) % 0.39/0.59 (define @t10 () (tptp.ca_Ax2 @t9)) % 0.39/0.59 (define @t11 () (tptp.rf @t7 @t9)) % 0.39/0.59 (define @t12 () (and @t11 @t10)) % 0.39/0.59 (define @t13 () (@list @t9)) % 0.39/0.59 (define @t14 () (exists @t13 @t12)) % 0.39/0.59 (define @t15 () (tptp.cpxcomp @t7)) % 0.39/0.59 (define @t16 () (and @t15 @t14)) % 0.39/0.59 (define @t17 () (tptp.cUnsatisfiable @t7)) % 0.39/0.59 (define @t18 () (= @t17 @t16)) % 0.39/0.59 (define @t19 () (forall @t8 @t18)) % 0.39/0.59 (define @t20 () (tptp.ra_Px1 @t7 @t9)) % 0.39/0.59 (define @t21 () (exists @t13 @t20)) % 0.39/0.59 (define @t22 () (not @t21)) % 0.39/0.59 (define @t23 () (tptp.cp @t7)) % 0.39/0.59 (define @t24 () (= @t23 @t22)) % 0.39/0.59 (define @t25 () (forall @t8 @t24)) % 0.39/0.59 (define @t26 () (@var "Y0" $$unsorted)) % 0.39/0.59 (define @t27 () (tptp.ra_Px1 @t7 @t26)) % 0.39/0.59 (define @t28 () (@list @t26)) % 0.39/0.59 (define @t29 () (exists @t28 @t27)) % 0.39/0.59 (define @t30 () (= @t15 @t29)) % 0.39/0.59 (define @t31 () (forall @t8 @t30)) % 0.39/0.59 (define @t32 () (tptp.ca_Vx3 @t9)) % 0.39/0.59 (define @t33 () (tptp.rinvF @t7 @t9)) % 0.39/0.59 (define @t34 () (forall @t13 (=> @t33 @t32))) % 0.39/0.59 (define @t35 () (tptp.cp @t9)) % 0.39/0.59 (define @t36 () (tptp.rinvS @t7 @t9)) % 0.39/0.59 (define @t37 () (forall @t13 (=> @t36 @t35))) % 0.39/0.59 (define @t38 () (and @t37 @t34)) % 0.39/0.59 (define @t39 () (tptp.ca_Ax2 @t7)) % 0.39/0.59 (define @t40 () (= @t39 @t38)) % 0.39/0.59 (define @t41 () (forall @t8 @t40)) % 0.39/0.59 (define @t42 () (tptp.rs @t7 @t9)) % 0.39/0.59 (define @t43 () (and @t42 @t35)) % 0.39/0.59 (define @t44 () (exists @t13 @t43)) % 0.39/0.59 (define @t45 () (tptp.ca_Vx3 @t7)) % 0.39/0.59 (define @t46 () (= @t45 @t44)) % 0.39/0.59 (define @t47 () (forall @t8 @t46)) % 0.39/0.59 (define @t48 () (@var "Z" $$unsorted)) % 0.39/0.59 (define @t49 () (= @t9 @t48)) % 0.39/0.59 (define @t50 () (tptp.rf @t7 @t48)) % 0.39/0.59 (define @t51 () (and @t11 @t50)) % 0.39/0.59 (define @t52 () (@list @t7 @t9 @t48)) % 0.39/0.59 (define @t53 () (forall @t52 (=> @t51 @t49))) % 0.39/0.59 (define @t54 () (tptp.rf1 @t7 @t9)) % 0.39/0.59 (define @t55 () (@list @t7 @t9)) % 0.39/0.59 (define @t56 () (forall @t55 (= @t33 (tptp.rf @t9 @t7)))) % 0.39/0.59 (define @t57 () (forall @t55 (= @t36 (tptp.rs @t9 @t7)))) % 0.39/0.59 (define @t58 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_08508)) % 0.39/0.59 (define @t59 () (forall @t55 (=> @t42 @t11))) % 0.39/0.59 (define @t60 () (forall @t13 (or (not (tptp.rf tptp.i2003_11_14_17_21_08508 @t9)) (not @t10)))) % 0.39/0.59 (define @t61 () (@quantifiers_skolemize @t60 0)) % 0.39/0.59 (define @t62 () (forall @t13 (not @t12))) % 0.39/0.59 (define @t63 () (not @t62)) % 0.39/0.59 (define @t64 () (@list tptp.i2003_11_14_17_21_08508)) % 0.39/0.59 (define @t65 () (not @t60)) % 0.39/0.59 (define @t66 () (tptp.cpxcomp tptp.i2003_11_14_17_21_08508)) % 0.39/0.59 (define @t67 () (and @t66 @t65)) % 0.39/0.59 (define @t68 () (= @t58 @t67)) % 0.39/0.59 (define @t69 () (@list false false)) % 0.39/0.59 (define @t70 () (not @t67)) % 0.39/0.59 (define @t71 () (@list false)) % 0.39/0.59 (define @t72 () (@list @t67)) % 0.39/0.59 (define @t73 () (tptp.ca_Ax2 @t61)) % 0.39/0.59 (define @t74 () (not @t73)) % 0.39/0.59 (define @t75 () (tptp.rf tptp.i2003_11_14_17_21_08508 @t61)) % 0.39/0.59 (define @t76 () (not @t75)) % 0.39/0.59 (define @t77 () (or @t76 @t74)) % 0.39/0.59 (define @t78 () (@list true)) % 0.39/0.59 (define @t79 () (@list @t77)) % 0.39/0.59 (define @t80 () (forall @t13 (or (not (tptp.rinvF @t61 @t9)) @t32))) % 0.39/0.59 (define @t81 () (forall @t13 (or (not (tptp.rinvS @t61 @t9)) @t35))) % 0.39/0.59 (define @t82 () (and @t81 @t80)) % 0.39/0.59 (define @t83 () (= @t73 @t82)) % 0.39/0.59 (define @t84 () (not @t82)) % 0.39/0.59 (define @t85 () (@list @t82)) % 0.39/0.59 (define @t86 () (forall @t13 (or (not (tptp.rs tptp.i2003_11_14_17_21_08508 @t9)) (not @t35)))) % 0.39/0.59 (define @t87 () (@quantifiers_skolemize @t86 0)) % 0.39/0.59 (define @t88 () (tptp.rinvS @t87 tptp.i2003_11_14_17_21_08508)) % 0.39/0.59 (define @t89 () (tptp.rs tptp.i2003_11_14_17_21_08508 @t87)) % 0.39/0.59 (define @t90 () (= @t88 @t89)) % 0.39/0.59 (define @t91 () (= @t89 @t88)) % 0.39/0.59 (define @t92 () (forall @t13 (not @t43))) % 0.39/0.59 (define @t93 () (not @t92)) % 0.39/0.59 (define @t94 () (tptp.rinvF @t61 tptp.i2003_11_14_17_21_08508)) % 0.39/0.59 (define @t95 () (= @t94 @t75)) % 0.39/0.59 (define @t96 () (= @t75 @t94)) % 0.39/0.59 (define @t97 () (tptp.ca_Vx3 tptp.i2003_11_14_17_21_08508)) % 0.39/0.59 (define @t98 () (not @t94)) % 0.39/0.59 (define @t99 () (or @t98 @t97)) % 0.39/0.59 (define @t100 () (not @t86)) % 0.39/0.59 (define @t101 () (= @t97 @t100)) % 0.39/0.59 (define @t102 () (not @t89)) % 0.39/0.59 (define @t103 () (or @t102 (not (tptp.cp @t87)))) % 0.39/0.59 (define @t104 () (not @t50)) % 0.39/0.59 (define @t105 () (not @t11)) % 0.39/0.59 (define @t106 () (tptp.rf tptp.i2003_11_14_17_21_08508 @t87)) % 0.39/0.59 (define @t107 () (or @t102 @t106)) % 0.39/0.59 (define @t108 () (= @t61 @t87)) % 0.39/0.59 (define @t109 () (not @t106)) % 0.39/0.59 (define @t110 () (or @t76 @t109 @t108)) % 0.39/0.59 (define @t111 () (tptp.rinvS @t61 tptp.i2003_11_14_17_21_08508)) % 0.39/0.59 (define @t112 () (tptp.cp tptp.i2003_11_14_17_21_08508)) % 0.39/0.59 (define @t113 () (not @t111)) % 0.39/0.59 (define @t114 () (or @t113 @t112)) % 0.39/0.59 (define @t115 () (forall @t28 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_08508 @t26)))) % 0.39/0.59 (define @t116 () (not @t115)) % 0.39/0.59 (define @t117 () (= @t66 @t116)) % 0.39/0.59 (define @t118 () (forall @t13 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_08508 @t9)))) % 0.39/0.59 (define @t119 () (forall @t13 (not @t20))) % 0.39/0.59 (define @t120 () (= @t112 @t118)) % 0.39/0.59 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.39/0.59 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Ax2 @t2)) (tptp.ca_Ax2 @t1)))) % 0.39/0.59 (assume @p3 (forall @t4 (=> (and @t3 (tptp.ca_Vx3 @t2)) (tptp.ca_Vx3 @t1)))) % 0.39/0.59 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.39/0.59 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.39/0.59 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.39/0.59 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cpxcomp @t2)) (tptp.cpxcomp @t1)))) % 0.39/0.59 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.39/0.59 (assume @p9 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.39/0.59 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.39/0.59 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.39/0.59 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rf1 @t2 @t5)) (tptp.rf1 @t1 @t5)))) % 0.39/0.59 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rf1 @t5 @t2)) (tptp.rf1 @t5 @t1)))) % 0.39/0.59 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.39/0.59 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.39/0.59 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t2 @t5)) (tptp.rinvF1 @t1 @t5)))) % 0.39/0.59 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t5 @t2)) (tptp.rinvF1 @t5 @t1)))) % 0.39/0.59 (assume @p18 (forall @t6 (=> (and @t3 (tptp.rinvS @t2 @t5)) (tptp.rinvS @t1 @t5)))) % 0.39/0.59 (assume @p19 (forall @t6 (=> (and @t3 (tptp.rinvS @t5 @t2)) (tptp.rinvS @t5 @t1)))) % 0.39/0.59 (assume @p20 (forall @t6 (=> (and @t3 (tptp.rs @t2 @t5)) (tptp.rs @t1 @t5)))) % 0.39/0.59 (assume @p21 (forall @t6 (=> (and @t3 (tptp.rs @t5 @t2)) (tptp.rs @t5 @t1)))) % 0.39/0.59 (assume @p22 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.39/0.59 (assume @p23 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.39/0.59 (assume @p24 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.39/0.59 (assume @p25 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.39/0.59 (assume @p26 @t19) % 0.39/0.59 (assume @p27 @t25) % 0.39/0.59 (assume @p28 @t31) % 0.39/0.59 (assume @p29 @t41) % 0.39/0.59 (assume @p30 @t47) % 0.39/0.59 (assume @p31 @t53) % 0.39/0.59 (assume @p32 (forall @t52 (=> (and @t54 (tptp.rf1 @t7 @t48)) @t49))) % 0.39/0.59 (assume @p33 @t56) % 0.39/0.59 (assume @p34 (forall @t55 (= (tptp.rinvF1 @t7 @t9) (tptp.rf1 @t9 @t7)))) % 0.39/0.59 (assume @p35 @t57) % 0.39/0.59 (assume @p36 (forall @t52 (=> (and @t42 (tptp.rs @t7 @t48)) @t49))) % 0.39/0.59 (assume @p37 @t58) % 0.39/0.59 (assume @p38 @t59) % 0.39/0.59 (assume @p39 (forall @t55 (=> @t42 @t54))) % 0.39/0.59 (step @p40 :rule bool-impl-elim :args (@t33 @t32)) % 0.39/0.59 (step @p41 :rule cong :premises (@p40) :args (@t34)) % 0.39/0.59 (step @p42 :rule bool-impl-elim :args (@t36 @t35)) % 0.39/0.59 (step @p43 :rule cong :premises (@p42) :args (@t37)) % 0.39/0.59 (step @p44 :rule nary_cong :premises (@p43 @p41) :args (@t38)) % 0.39/0.59 (step @p45 :rule refl :args (@t39)) % 0.39/0.59 (step @p46 :rule cong :premises (@p45 @p44) :args (@t40)) % 0.39/0.59 (step @p47 :rule cong :premises (@p46) :args (@t41)) % 0.39/0.59 (step @p48 :rule eq_resolve :premises (@p29 @p47)) % 0.39/0.59 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t61))) % 0.39/0.59 (step @p50 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.39/0.59 (step @p51 :rule cong :premises (@p50) :args (@t62)) % 0.39/0.59 (step @p52 :rule cong :premises (@p51) :args (@t63)) % 0.39/0.59 (step @p53 :rule exists-elim :args ((= @t14 @t63))) % 0.39/0.59 (step @p54 :rule trans :premises (@p53 @p52)) % 0.39/0.59 (step @p55 :rule refl :args (@t15)) % 0.39/0.59 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t16)) % 0.39/0.59 (step @p57 :rule refl :args (@t17)) % 0.39/0.59 (step @p58 :rule cong :premises (@p57 @p56) :args (@t18)) % 0.39/0.59 (step @p59 :rule cong :premises (@p58) :args (@t19)) % 0.39/0.59 (step @p60 :rule eq_resolve :premises (@p26 @p59)) % 0.39/0.59 (step @p61 :rule instantiate :premises (@p60) :args (@t64)) % 0.39/0.59 (step @p62 :rule cnf_equiv_pos1 :args (@t68)) % 0.39/0.59 (step @p63 :rule reordering :premises (@p62) :args ((or (not @t58) @t67 (not @t68)))) % 0.39/0.59 (step @p64 :rule chain_m_resolution :premises (@p63 @p37 @p61) :args (@t67 @t69 (@list @t58 @t68))) % 0.39/0.59 (step @p65 :rule cnf_and_pos :args (@t67 1)) % 0.39/0.59 (step @p66 :rule reordering :premises (@p65) :args ((or @t65 @t70))) % 0.39/0.59 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t65 @t71 @t72)) % 0.39/0.59 (step @p68 :rule skolemize :premises (@p67)) % 0.39/0.59 (step @p69 :rule bool-double-not-elim :args (@t73)) % 0.39/0.59 (step @p70 :rule refl :args (@t77)) % 0.39/0.59 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t77 (not @t74)))) % 0.39/0.59 (step @p72 :rule cnf_or_neg :args (@t77 1)) % 0.39/0.59 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.39/0.59 (step @p74 :rule reordering :premises (@p73) :args ((or @t73 @t77))) % 0.39/0.59 (step @p75 :rule chain_m_resolution :premises (@p74 @p68) :args (@t73 @t78 @t79)) % 0.39/0.59 (step @p76 :rule cnf_equiv_pos1 :args (@t83)) % 0.39/0.59 (step @p77 :rule reordering :premises (@p76) :args ((or @t74 @t82 (not @t83)))) % 0.39/0.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p49) :args (@t82 @t69 (@list @t73 @t83))) % 0.39/0.59 (step @p79 :rule cnf_and_pos :args (@t82 0)) % 0.39/0.59 (step @p80 :rule reordering :premises (@p79) :args ((or @t81 @t84))) % 0.39/0.59 (step @p81 :rule chain_m_resolution :premises (@p80 @p78) :args (@t81 @t71 @t85)) % 0.39/0.59 (step @p82 :rule instantiate :premises (@p81) :args (@t64)) % 0.39/0.59 (step @p83 :rule eq-symm :args (@t88 @t89)) % 0.39/0.59 (step @p84 :rule refl :args (@t57)) % 0.39/0.59 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t57 @t90))) % 0.39/0.59 (assume-push @p197 @t57) % 0.39/0.59 (step @p87 :rule instantiate :premises (@p35) :args ((@list @t87 tptp.i2003_11_14_17_21_08508))) % 0.39/0.59 (step-pop @p198 :rule scope :premises (@p87)) % 0.39/0.59 (step @p88 :rule process_scope :premises (@p198) :args (@t90)) % 0.39/0.59 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.39/0.59 (step @p91 :rule implies_elim :premises (@p90)) % 0.39/0.59 (step @p92 :rule chain_m_resolution :premises (@p91 @p35) :args (@t91 @t71 (@list @t57))) % 0.39/0.59 (step @p93 :rule bool-and-de-morgan :args (@t42 @t35 true)) % 0.39/0.59 (step @p94 :rule cong :premises (@p93) :args (@t92)) % 0.39/0.59 (step @p95 :rule cong :premises (@p94) :args (@t93)) % 0.39/0.59 (step @p96 :rule exists-elim :args ((= @t44 @t93))) % 0.39/0.59 (step @p97 :rule trans :premises (@p96 @p95)) % 0.39/0.59 (step @p98 :rule refl :args (@t45)) % 0.39/0.59 (step @p99 :rule cong :premises (@p98 @p97) :args (@t46)) % 0.39/0.59 (step @p100 :rule cong :premises (@p99) :args (@t47)) % 0.39/0.59 (step @p101 :rule eq_resolve :premises (@p30 @p100)) % 0.39/0.59 (step @p102 :rule instantiate :premises (@p101) :args (@t64)) % 0.39/0.59 (step @p103 :rule cnf_and_pos :args (@t82 1)) % 0.39/0.59 (step @p104 :rule reordering :premises (@p103) :args ((or @t80 @t84))) % 0.39/0.59 (step @p105 :rule chain_m_resolution :premises (@p104 @p78) :args (@t80 @t71 @t85)) % 0.39/0.59 (step @p106 :rule instantiate :premises (@p105) :args (@t64)) % 0.39/0.59 (step @p107 :rule eq-symm :args (@t94 @t75)) % 0.39/0.59 (step @p108 :rule refl :args (@t56)) % 0.39/0.59 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t56 @t95))) % 0.39/0.59 (assume-push @p199 @t56) % 0.39/0.59 (step @p111 :rule instantiate :premises (@p33) :args ((@list @t61 tptp.i2003_11_14_17_21_08508))) % 0.39/0.59 (step-pop @p200 :rule scope :premises (@p111)) % 0.39/0.59 (step @p112 :rule process_scope :premises (@p200) :args (@t95)) % 0.39/0.59 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.39/0.59 (step @p115 :rule implies_elim :premises (@p114)) % 0.39/0.59 (step @p116 :rule chain_m_resolution :premises (@p115 @p33) :args (@t96 @t71 (@list @t56))) % 0.39/0.59 (step @p117 :rule bool-double-not-elim :args (@t75)) % 0.39/0.59 (step @p118 :rule nary_cong :premises (@p70 @p117) :args ((or @t77 (not @t76)))) % 0.39/0.59 (step @p119 :rule cnf_or_neg :args (@t77 0)) % 0.39/0.59 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.39/0.59 (step @p121 :rule reordering :premises (@p120) :args ((or @t75 @t77))) % 0.39/0.59 (step @p122 :rule chain_m_resolution :premises (@p121 @p68) :args (@t75 @t78 @t79)) % 0.39/0.59 (step @p123 :rule cnf_equiv_pos1 :args (@t96)) % 0.39/0.59 (step @p124 :rule reordering :premises (@p123) :args ((or @t76 @t94 (not @t96)))) % 0.39/0.59 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p116) :args (@t94 @t69 (@list @t75 @t96))) % 0.39/0.59 (step @p126 :rule cnf_or_pos :args (@t99)) % 0.39/0.59 (step @p127 :rule reordering :premises (@p126) :args ((or @t98 @t97 (not @t99)))) % 0.39/0.59 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p106) :args (@t97 @t69 (@list @t94 @t99))) % 0.39/0.59 (step @p129 :rule cnf_equiv_pos1 :args (@t101)) % 0.39/0.59 (step @p130 :rule reordering :premises (@p129) :args ((or (not @t97) @t100 (not @t101)))) % 0.39/0.59 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p102) :args (@t100 @t69 (@list @t97 @t101))) % 0.39/0.59 (step @p132 :rule skolemize :premises (@p131)) % 0.39/0.59 (step @p133 :rule bool-double-not-elim :args (@t89)) % 0.39/0.59 (step @p134 :rule refl :args (@t103)) % 0.39/0.59 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t103 (not @t102)))) % 0.39/0.59 (step @p136 :rule cnf_or_neg :args (@t103 0)) % 0.39/0.59 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.39/0.59 (step @p138 :rule reordering :premises (@p137) :args ((or @t89 @t103))) % 0.39/0.59 (step @p139 :rule chain_m_resolution :premises (@p138 @p132) :args (@t89 @t78 (@list @t103))) % 0.39/0.59 (step @p140 :rule cnf_equiv_pos1 :args (@t91)) % 0.39/0.59 (step @p141 :rule reordering :premises (@p140) :args ((or @t102 @t88 (not @t91)))) % 0.39/0.59 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p92) :args (@t88 @t69 (@list @t89 @t91))) % 0.39/0.59 (step @p143 :rule true_intro :premises (@p142)) % 0.39/0.59 (step @p144 :rule refl :args (tptp.i2003_11_14_17_21_08508)) % 0.39/0.59 (step @p145 :rule aci_norm :args ((= (or (or @t105 @t104) @t49) (or @t105 @t104 @t49)))) % 0.39/0.59 (step @p146 :rule refl :args (@t49)) % 0.39/0.59 (step @p147 :rule bool-and-de-morgan :args (@t11 @t50 true)) % 0.39/0.59 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t51) @t49))) % 0.39/0.59 (step @p149 :rule trans :premises (@p148 @p145)) % 0.39/0.59 (step @p150 :rule bool-impl-elim :args (@t51 @t49)) % 0.39/0.59 (step @p151 :rule trans :premises (@p150 @p149)) % 0.39/0.59 (step @p152 :rule cong :premises (@p151) :args (@t53)) % 0.39/0.59 (step @p153 :rule eq_resolve :premises (@p31 @p152)) % 0.39/0.59 (step @p154 :rule instantiate :premises (@p153) :args ((@list tptp.i2003_11_14_17_21_08508 @t61 @t87))) % 0.39/0.59 (step @p155 :rule bool-impl-elim :args (@t42 @t11)) % 0.39/0.59 (step @p156 :rule cong :premises (@p155) :args (@t59)) % 0.39/0.59 (step @p157 :rule eq_resolve :premises (@p38 @p156)) % 0.39/0.59 (step @p158 :rule instantiate :premises (@p157) :args ((@list tptp.i2003_11_14_17_21_08508 @t87))) % 0.39/0.59 (step @p159 :rule cnf_or_pos :args (@t107)) % 0.39/0.59 (step @p160 :rule reordering :premises (@p159) :args ((or @t102 @t106 (not @t107)))) % 0.39/0.59 (step @p161 :rule chain_m_resolution :premises (@p160 @p139 @p158) :args (@t106 @t69 (@list @t89 @t107))) % 0.39/0.59 (step @p162 :rule cnf_or_pos :args (@t110)) % 0.39/0.59 (step @p163 :rule reordering :premises (@p162) :args ((or @t76 @t109 @t108 (not @t110)))) % 0.39/0.59 (step @p164 :rule chain_m_resolution :premises (@p163 @p122 @p161 @p154) :args (@t108 (@list false false false) (@list @t75 @t106 @t110))) % 0.39/0.59 (step @p165 :rule cong :premises (@p164 @p144) :args (@t111)) % 0.39/0.59 (step @p166 :rule trans :premises (@p165 @p143)) % 0.39/0.59 (step @p167 :rule true_elim :premises (@p166)) % 0.39/0.59 (step @p168 :rule cnf_or_pos :args (@t114)) % 0.39/0.59 (step @p169 :rule reordering :premises (@p168) :args ((or @t113 @t112 (not @t114)))) % 0.39/0.59 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p82) :args (@t112 @t69 (@list @t111 @t114))) % 0.39/0.59 (step @p171 :rule exists-elim :args ((= @t29 (not (forall @t28 (not @t27)))))) % 0.39/0.59 (step @p172 :rule cong :premises (@p55 @p171) :args (@t30)) % 0.39/0.59 (step @p173 :rule cong :premises (@p172) :args (@t31)) % 0.39/0.59 (step @p174 :rule eq_resolve :premises (@p28 @p173)) % 0.39/0.59 (step @p175 :rule instantiate :premises (@p174) :args (@t64)) % 0.39/0.59 (step @p176 :rule cnf_and_pos :args (@t67 0)) % 0.39/0.59 (step @p177 :rule reordering :premises (@p176) :args ((or @t66 @t70))) % 0.39/0.59 (step @p178 :rule chain_m_resolution :premises (@p177 @p64) :args (@t66 @t71 @t72)) % 0.39/0.59 (step @p179 :rule cnf_equiv_pos1 :args (@t117)) % 0.39/0.59 (step @p180 :rule reordering :premises (@p179) :args ((or (not @t66) @t116 (not @t117)))) % 0.39/0.59 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p175) :args (@t116 @t69 (@list @t66 @t117))) % 0.39/0.59 (step @p182 :rule alpha_equiv :args (@t115 (@list @t26) (@list @t9))) % 0.39/0.59 (step @p183 :rule equiv_elim2 :premises (@p182)) % 0.39/0.59 (step @p184 :rule chain_m_resolution :premises (@p183 @p181) :args ((not @t118) @t78 (@list @t115))) % 0.39/0.59 (step @p185 :rule bool-double-not-elim :args (@t119)) % 0.39/0.59 (step @p186 :rule exists-elim :args ((= @t21 (not @t119)))) % 0.39/0.59 (step @p187 :rule cong :premises (@p186) :args (@t22)) % 0.39/0.59 (step @p188 :rule trans :premises (@p187 @p185)) % 0.39/0.59 (step @p189 :rule refl :args (@t23)) % 0.39/0.59 (step @p190 :rule cong :premises (@p189 @p188) :args (@t24)) % 0.39/0.59 (step @p191 :rule cong :premises (@p190) :args (@t25)) % 0.39/0.59 (step @p192 :rule eq_resolve :premises (@p27 @p191)) % 0.39/0.59 (step @p193 :rule instantiate :premises (@p192) :args (@t64)) % 0.39/0.59 (step @p194 :rule cnf_equiv_pos1 :args (@t120)) % 0.39/0.59 (step @p195 :rule reordering :premises (@p194) :args ((or (not @t112) @t118 (not @t120)))) % 0.39/0.59 (step @p196 false :rule chain_m_resolution :premises (@p195 @p193 @p184 @p170) :args (false (@list false true false) (@list @t120 @t118 @t112))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------