%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS076+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:28:52 AM UTC 2026 % Result : Unsatisfiable 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 : KRS076+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 05:27:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.rinvF1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.rf1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.rinvS (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.i2003_11_14_17_19_06193 $$unsorted) % 0.38/0.58 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t3 () (= @t2 @t1)) % 0.38/0.58 (define @t4 () (@list @t2 @t1)) % 0.38/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t6 () (@list @t2 @t1 @t5)) % 0.38/0.58 (define @t7 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t8 () (@list @t7)) % 0.38/0.58 (define @t9 () (@var "W" $$unsorted)) % 0.38/0.58 (define @t10 () (tptp.cowlThing @t9)) % 0.38/0.58 (define @t11 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t12 () (tptp.rs @t11 @t9)) % 0.38/0.58 (define @t13 () (and @t12 @t10)) % 0.38/0.58 (define @t14 () (@list @t9)) % 0.38/0.58 (define @t15 () (exists @t14 @t13)) % 0.38/0.58 (define @t16 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t17 () (tptp.rinvF1 @t16 @t11)) % 0.38/0.58 (define @t18 () (=> @t17 @t15)) % 0.38/0.58 (define @t19 () (@list @t11)) % 0.38/0.58 (define @t20 () (forall @t19 @t18)) % 0.38/0.58 (define @t21 () (tptp.cp @t16)) % 0.38/0.58 (define @t22 () (not @t21)) % 0.38/0.58 (define @t23 () (tptp.rf1 @t7 @t16)) % 0.38/0.58 (define @t24 () (and @t23 @t22 @t20)) % 0.38/0.58 (define @t25 () (@list @t16)) % 0.38/0.58 (define @t26 () (exists @t25 @t24)) % 0.38/0.58 (define @t27 () (tptp.rf @t7 @t16)) % 0.38/0.58 (define @t28 () (and @t27 @t21)) % 0.38/0.58 (define @t29 () (exists @t25 @t28)) % 0.38/0.58 (define @t30 () (and @t29 @t26)) % 0.38/0.58 (define @t31 () (tptp.cUnsatisfiable @t7)) % 0.38/0.58 (define @t32 () (= @t31 @t30)) % 0.38/0.58 (define @t33 () (forall @t8 @t32)) % 0.38/0.58 (define @t34 () (= @t16 @t11)) % 0.38/0.58 (define @t35 () (tptp.rf @t7 @t11)) % 0.38/0.58 (define @t36 () (and @t27 @t35)) % 0.38/0.58 (define @t37 () (@list @t7 @t16 @t11)) % 0.38/0.58 (define @t38 () (forall @t37 (=> @t36 @t34))) % 0.38/0.58 (define @t39 () (tptp.rf1 @t7 @t11)) % 0.38/0.58 (define @t40 () (and @t23 @t39)) % 0.38/0.58 (define @t41 () (forall @t37 (=> @t40 @t34))) % 0.38/0.58 (define @t42 () (@list @t7 @t16)) % 0.38/0.58 (define @t43 () (forall @t42 (= (tptp.rinvF1 @t7 @t16) (tptp.rf1 @t16 @t7)))) % 0.38/0.58 (define @t44 () (tptp.rs @t7 @t16)) % 0.38/0.58 (define @t45 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_06193)) % 0.38/0.58 (define @t46 () (forall @t42 (=> @t44 @t23))) % 0.38/0.58 (define @t47 () (forall @t42 (=> @t44 @t27))) % 0.38/0.58 (define @t48 () (not @t10)) % 0.38/0.58 (define @t49 () (not (forall @t14 (or (not @t12) @t48)))) % 0.38/0.58 (define @t50 () (forall @t19 (or (not @t17) @t49))) % 0.38/0.58 (define @t51 () (not @t50)) % 0.38/0.58 (define @t52 () (not @t23)) % 0.38/0.58 (define @t53 () (not @t22)) % 0.38/0.58 (define @t54 () (or @t52 @t53 @t51)) % 0.38/0.58 (define @t55 () (and @t23 @t22 @t50)) % 0.38/0.58 (define @t56 () (forall @t25 (not @t55))) % 0.38/0.58 (define @t57 () (not @t56)) % 0.38/0.58 (define @t58 () (forall @t14 (not @t13))) % 0.38/0.58 (define @t59 () (not @t58)) % 0.38/0.58 (define @t60 () (forall @t25 (not @t28))) % 0.38/0.58 (define @t61 () (not @t60)) % 0.38/0.58 (define @t62 () (@list tptp.i2003_11_14_17_19_06193)) % 0.38/0.58 (define @t63 () (forall @t25 (or (not (tptp.rf1 tptp.i2003_11_14_17_19_06193 @t16)) @t21 @t51))) % 0.38/0.58 (define @t64 () (not @t63)) % 0.38/0.58 (define @t65 () (forall @t25 (or (not (tptp.rf tptp.i2003_11_14_17_19_06193 @t16)) @t22))) % 0.38/0.58 (define @t66 () (not @t65)) % 0.38/0.58 (define @t67 () (and @t66 @t64)) % 0.38/0.58 (define @t68 () (= @t45 @t67)) % 0.38/0.58 (define @t69 () (@list false false)) % 0.38/0.58 (define @t70 () (not @t67)) % 0.38/0.58 (define @t71 () (@list false)) % 0.38/0.58 (define @t72 () (@list @t67)) % 0.38/0.58 (define @t73 () (@quantifiers_skolemize @t65 0)) % 0.38/0.58 (define @t74 () (tptp.cp @t73)) % 0.38/0.58 (define @t75 () (not @t74)) % 0.38/0.58 (define @t76 () (tptp.rf tptp.i2003_11_14_17_19_06193 @t73)) % 0.38/0.58 (define @t77 () (not @t76)) % 0.38/0.58 (define @t78 () (or @t77 @t75)) % 0.38/0.58 (define @t79 () (@list true)) % 0.38/0.58 (define @t80 () (@list @t78)) % 0.38/0.58 (define @t81 () (not @t35)) % 0.38/0.58 (define @t82 () (not @t27)) % 0.38/0.58 (define @t83 () (forall @t14 (or (not (tptp.rs tptp.i2003_11_14_17_19_06193 @t9)) @t48))) % 0.38/0.58 (define @t84 () (@quantifiers_skolemize @t83 0)) % 0.38/0.58 (define @t85 () (@list tptp.i2003_11_14_17_19_06193 @t84)) % 0.38/0.58 (define @t86 () (@quantifiers_skolemize @t63 0)) % 0.38/0.58 (define @t87 () (forall @t19 (or (not (tptp.rinvF1 @t86 @t11)) @t49))) % 0.38/0.58 (define @t88 () (not @t87)) % 0.38/0.58 (define @t89 () (tptp.cp @t86)) % 0.38/0.58 (define @t90 () (tptp.rf1 tptp.i2003_11_14_17_19_06193 @t86)) % 0.38/0.58 (define @t91 () (not @t90)) % 0.38/0.58 (define @t92 () (or @t91 @t89 @t88)) % 0.38/0.58 (define @t93 () (@list @t92)) % 0.38/0.58 (define @t94 () (tptp.rinvF1 @t86 tptp.i2003_11_14_17_19_06193)) % 0.38/0.58 (define @t95 () (= @t94 @t90)) % 0.38/0.58 (define @t96 () (= @t90 @t94)) % 0.38/0.58 (define @t97 () (not @t83)) % 0.38/0.58 (define @t98 () (not @t94)) % 0.38/0.58 (define @t99 () (or @t98 @t97)) % 0.38/0.58 (define @t100 () (tptp.rs tptp.i2003_11_14_17_19_06193 @t84)) % 0.38/0.58 (define @t101 () (not @t100)) % 0.38/0.58 (define @t102 () (or @t101 (not (tptp.cowlThing @t84)))) % 0.38/0.58 (define @t103 () (tptp.rf tptp.i2003_11_14_17_19_06193 @t84)) % 0.38/0.58 (define @t104 () (or @t101 @t103)) % 0.38/0.58 (define @t105 () (= @t73 @t84)) % 0.38/0.58 (define @t106 () (not @t103)) % 0.38/0.58 (define @t107 () (or @t77 @t106 @t105)) % 0.38/0.58 (define @t108 () (@list false false false)) % 0.38/0.58 (define @t109 () (not @t39)) % 0.38/0.58 (define @t110 () (tptp.rf1 tptp.i2003_11_14_17_19_06193 @t84)) % 0.38/0.58 (define @t111 () (or @t101 @t110)) % 0.38/0.58 (define @t112 () (= @t86 @t84)) % 0.38/0.58 (define @t113 () (not @t110)) % 0.38/0.58 (define @t114 () (or @t91 @t113 @t112)) % 0.38/0.58 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.38/0.58 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.38/0.58 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.38/0.58 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.38/0.58 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.38/0.58 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.38/0.58 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rf1 @t2 @t5)) (tptp.rf1 @t1 @t5)))) % 0.38/0.58 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rf1 @t5 @t2)) (tptp.rf1 @t5 @t1)))) % 0.38/0.58 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.38/0.58 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.38/0.58 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t2 @t5)) (tptp.rinvF1 @t1 @t5)))) % 0.38/0.58 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t5 @t2)) (tptp.rinvF1 @t5 @t1)))) % 0.38/0.58 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rinvS @t2 @t5)) (tptp.rinvS @t1 @t5)))) % 0.38/0.58 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvS @t5 @t2)) (tptp.rinvS @t5 @t1)))) % 0.38/0.58 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rs @t2 @t5)) (tptp.rs @t1 @t5)))) % 0.38/0.58 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rs @t5 @t2)) (tptp.rs @t5 @t1)))) % 0.38/0.58 (assume @p17 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.38/0.58 (assume @p18 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.38/0.58 (assume @p19 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.38/0.58 (assume @p20 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.38/0.58 (assume @p21 @t33) % 0.38/0.58 (assume @p22 @t38) % 0.38/0.58 (assume @p23 @t41) % 0.38/0.58 (assume @p24 (forall @t42 (= (tptp.rinvF @t7 @t16) (tptp.rf @t16 @t7)))) % 0.38/0.58 (assume @p25 @t43) % 0.38/0.58 (assume @p26 (forall @t42 (= (tptp.rinvS @t7 @t16) (tptp.rs @t16 @t7)))) % 0.38/0.58 (assume @p27 (forall @t37 (=> (and @t44 (tptp.rs @t7 @t11)) @t34))) % 0.38/0.58 (assume @p28 @t45) % 0.38/0.58 (assume @p29 @t46) % 0.38/0.58 (assume @p30 @t47) % 0.38/0.58 (step @p31 :rule evaluate :args ((= false true))) % 0.38/0.58 (step @p32 :rule refl :args (@t51)) % 0.38/0.58 (step @p33 :rule bool-double-not-elim :args (@t21)) % 0.38/0.58 (step @p34 :rule refl :args (@t52)) % 0.38/0.58 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args (@t54)) % 0.38/0.58 (step @p36 :rule aci_norm :args ((= (or @t52 (or @t53 @t51)) @t54))) % 0.38/0.58 (step @p37 :rule trans :premises (@p36 @p35)) % 0.38/0.58 (step @p38 :rule bool-and-de-morgan :args (@t22 @t50 true)) % 0.38/0.58 (step @p39 :rule nary_cong :premises (@p34 @p38) :args ((or @t52 (not (and @t22 @t50))))) % 0.38/0.58 (step @p40 :rule bool-and-de-morgan :args (@t23 @t22 (and @t50))) % 0.38/0.58 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.58 (step @p42 :rule trans :premises (@p41 @p37)) % 0.38/0.58 (step @p43 :rule cong :premises (@p42) :args (@t56)) % 0.38/0.58 (step @p44 :rule cong :premises (@p43) :args (@t57)) % 0.38/0.58 (step @p45 :rule exists-elim :args ((= (exists @t25 @t55) @t57))) % 0.38/0.58 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.58 (step @p47 :rule bool-impl-elim :args (@t17 @t49)) % 0.38/0.58 (step @p48 :rule cong :premises (@p47) :args ((forall @t19 (=> @t17 @t49)))) % 0.38/0.58 (step @p49 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 0.38/0.58 (step @p50 :rule cong :premises (@p49) :args (@t58)) % 0.38/0.58 (step @p51 :rule cong :premises (@p50) :args (@t59)) % 0.38/0.58 (step @p52 :rule exists-elim :args ((= @t15 @t59))) % 0.38/0.58 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.58 (step @p54 :rule refl :args (@t17)) % 0.38/0.58 (step @p55 :rule cong :premises (@p54 @p53) :args (@t18)) % 0.38/0.58 (step @p56 :rule cong :premises (@p55) :args (@t20)) % 0.38/0.58 (step @p57 :rule trans :premises (@p56 @p48)) % 0.38/0.58 (step @p58 :rule refl :args (@t22)) % 0.38/0.58 (step @p59 :rule refl :args (@t23)) % 0.38/0.58 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args (@t24)) % 0.38/0.58 (step @p61 :rule cong :premises (@p60) :args (@t26)) % 0.38/0.58 (step @p62 :rule trans :premises (@p61 @p46)) % 0.38/0.58 (step @p63 :rule bool-and-de-morgan :args (@t27 @t21 true)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63) :args (@t60)) % 0.38/0.58 (step @p65 :rule cong :premises (@p64) :args (@t61)) % 0.38/0.58 (step @p66 :rule exists-elim :args ((= @t29 @t61))) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p65)) % 0.38/0.58 (step @p68 :rule nary_cong :premises (@p67 @p62) :args (@t30)) % 0.38/0.58 (step @p69 :rule refl :args (@t31)) % 0.38/0.58 (step @p70 :rule cong :premises (@p69 @p68) :args (@t32)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70) :args (@t33)) % 0.38/0.58 (step @p72 :rule eq_resolve :premises (@p21 @p71)) % 0.38/0.58 (step @p73 :rule instantiate :premises (@p72) :args (@t62)) % 0.38/0.58 (step @p74 :rule cnf_equiv_pos1 :args (@t68)) % 0.38/0.58 (step @p75 :rule reordering :premises (@p74) :args ((or (not @t45) @t67 (not @t68)))) % 0.38/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p28 @p73) :args (@t67 @t69 (@list @t45 @t68))) % 0.38/0.58 (step @p77 :rule cnf_and_pos :args (@t67 0)) % 0.38/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t66 @t70))) % 0.38/0.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p76) :args (@t66 @t71 @t72)) % 0.38/0.58 (step @p80 :rule skolemize :premises (@p79)) % 0.38/0.58 (step @p81 :rule bool-double-not-elim :args (@t74)) % 0.38/0.58 (step @p82 :rule refl :args (@t78)) % 0.38/0.58 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t78 (not @t75)))) % 0.38/0.58 (step @p84 :rule cnf_or_neg :args (@t78 1)) % 0.38/0.58 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.38/0.58 (step @p86 :rule reordering :premises (@p85) :args ((or @t74 @t78))) % 0.38/0.58 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t74 @t79 @t80)) % 0.38/0.58 (step @p88 :rule true_intro :premises (@p87)) % 0.38/0.58 (step @p89 :rule aci_norm :args ((= (or (or @t82 @t81) @t34) (or @t82 @t81 @t34)))) % 0.38/0.58 (step @p90 :rule refl :args (@t34)) % 0.38/0.58 (step @p91 :rule bool-and-de-morgan :args (@t27 @t35 true)) % 0.38/0.58 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t36) @t34))) % 0.38/0.58 (step @p93 :rule trans :premises (@p92 @p89)) % 0.38/0.58 (step @p94 :rule bool-impl-elim :args (@t36 @t34)) % 0.38/0.58 (step @p95 :rule trans :premises (@p94 @p93)) % 0.38/0.58 (step @p96 :rule cong :premises (@p95) :args (@t38)) % 0.38/0.58 (step @p97 :rule eq_resolve :premises (@p22 @p96)) % 0.38/0.58 (step @p98 :rule instantiate :premises (@p97) :args ((@list tptp.i2003_11_14_17_19_06193 @t73 @t84))) % 0.38/0.58 (step @p99 :rule bool-impl-elim :args (@t44 @t27)) % 0.38/0.58 (step @p100 :rule cong :premises (@p99) :args (@t47)) % 0.38/0.58 (step @p101 :rule eq_resolve :premises (@p30 @p100)) % 0.38/0.58 (step @p102 :rule instantiate :premises (@p101) :args (@t85)) % 0.38/0.58 (step @p103 :rule cnf_and_pos :args (@t67 1)) % 0.38/0.58 (step @p104 :rule reordering :premises (@p103) :args ((or @t64 @t70))) % 0.38/0.58 (step @p105 :rule chain_m_resolution :premises (@p104 @p76) :args (@t64 @t71 @t72)) % 0.38/0.58 (step @p106 :rule skolemize :premises (@p105)) % 0.38/0.58 (step @p107 :rule bool-double-not-elim :args (@t87)) % 0.38/0.58 (step @p108 :rule refl :args (@t92)) % 0.38/0.58 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t92 (not @t88)))) % 0.38/0.58 (step @p110 :rule cnf_or_neg :args (@t92 2)) % 0.38/0.58 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.38/0.58 (step @p112 :rule reordering :premises (@p111) :args ((or @t87 @t92))) % 0.38/0.58 (step @p113 :rule chain_m_resolution :premises (@p112 @p106) :args (@t87 @t79 @t93)) % 0.38/0.58 (step @p114 :rule instantiate :premises (@p113) :args (@t62)) % 0.38/0.58 (step @p115 :rule eq-symm :args (@t94 @t90)) % 0.38/0.58 (step @p116 :rule refl :args (@t43)) % 0.38/0.58 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t43 @t95))) % 0.38/0.58 (assume-push @p185 @t43) % 0.38/0.58 (step @p119 :rule instantiate :premises (@p25) :args ((@list @t86 tptp.i2003_11_14_17_19_06193))) % 0.38/0.58 (step-pop @p186 :rule scope :premises (@p119)) % 0.38/0.58 (step @p120 :rule process_scope :premises (@p186) :args (@t95)) % 0.38/0.58 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 0.38/0.58 (step @p123 :rule implies_elim :premises (@p122)) % 0.38/0.58 (step @p124 :rule chain_m_resolution :premises (@p123 @p25) :args (@t96 @t71 (@list @t43))) % 0.38/0.58 (step @p125 :rule bool-double-not-elim :args (@t90)) % 0.38/0.58 (step @p126 :rule nary_cong :premises (@p108 @p125) :args ((or @t92 (not @t91)))) % 0.38/0.58 (step @p127 :rule cnf_or_neg :args (@t92 0)) % 0.38/0.58 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.38/0.58 (step @p129 :rule reordering :premises (@p128) :args ((or @t90 @t92))) % 0.38/0.58 (step @p130 :rule chain_m_resolution :premises (@p129 @p106) :args (@t90 @t79 @t93)) % 0.38/0.58 (step @p131 :rule cnf_equiv_pos1 :args (@t96)) % 0.38/0.58 (step @p132 :rule reordering :premises (@p131) :args ((or @t91 @t94 (not @t96)))) % 0.38/0.58 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p124) :args (@t94 @t69 (@list @t90 @t96))) % 0.38/0.58 (step @p134 :rule cnf_or_pos :args (@t99)) % 0.38/0.58 (step @p135 :rule reordering :premises (@p134) :args ((or @t98 @t97 (not @t99)))) % 0.38/0.58 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p114) :args (@t97 @t69 (@list @t94 @t99))) % 0.38/0.58 (step @p137 :rule skolemize :premises (@p136)) % 0.38/0.58 (step @p138 :rule bool-double-not-elim :args (@t100)) % 0.38/0.58 (step @p139 :rule refl :args (@t102)) % 0.38/0.58 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t102 (not @t101)))) % 0.38/0.58 (step @p141 :rule cnf_or_neg :args (@t102 0)) % 0.38/0.58 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.38/0.58 (step @p143 :rule reordering :premises (@p142) :args ((or @t100 @t102))) % 0.38/0.58 (step @p144 :rule chain_m_resolution :premises (@p143 @p137) :args (@t100 @t79 (@list @t102))) % 0.38/0.58 (step @p145 :rule cnf_or_pos :args (@t104)) % 0.38/0.58 (step @p146 :rule reordering :premises (@p145) :args ((or @t101 @t103 (not @t104)))) % 0.38/0.58 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p102) :args (@t103 @t69 (@list @t100 @t104))) % 0.38/0.58 (step @p148 :rule bool-double-not-elim :args (@t76)) % 0.38/0.58 (step @p149 :rule nary_cong :premises (@p82 @p148) :args ((or @t78 (not @t77)))) % 0.38/0.58 (step @p150 :rule cnf_or_neg :args (@t78 0)) % 0.38/0.58 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.38/0.58 (step @p152 :rule reordering :premises (@p151) :args ((or @t76 @t78))) % 0.38/0.58 (step @p153 :rule chain_m_resolution :premises (@p152 @p80) :args (@t76 @t79 @t80)) % 0.38/0.58 (step @p154 :rule cnf_or_pos :args (@t107)) % 0.38/0.58 (step @p155 :rule reordering :premises (@p154) :args ((or @t77 @t106 @t105 (not @t107)))) % 0.38/0.58 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p147 @p98) :args (@t105 @t108 (@list @t76 @t103 @t107))) % 0.38/0.58 (step @p157 :rule symm :premises (@p156)) % 0.38/0.58 (step @p158 :rule aci_norm :args ((= (or (or @t52 @t109) @t34) (or @t52 @t109 @t34)))) % 0.38/0.58 (step @p159 :rule bool-and-de-morgan :args (@t23 @t39 true)) % 0.38/0.58 (step @p160 :rule nary_cong :premises (@p159 @p90) :args ((or (not @t40) @t34))) % 0.38/0.58 (step @p161 :rule trans :premises (@p160 @p158)) % 0.38/0.58 (step @p162 :rule bool-impl-elim :args (@t40 @t34)) % 0.38/0.58 (step @p163 :rule trans :premises (@p162 @p161)) % 0.38/0.58 (step @p164 :rule cong :premises (@p163) :args (@t41)) % 0.38/0.58 (step @p165 :rule eq_resolve :premises (@p23 @p164)) % 0.38/0.58 (step @p166 :rule instantiate :premises (@p165) :args ((@list tptp.i2003_11_14_17_19_06193 @t86 @t84))) % 0.38/0.58 (step @p167 :rule bool-impl-elim :args (@t44 @t23)) % 0.38/0.58 (step @p168 :rule cong :premises (@p167) :args (@t46)) % 0.38/0.58 (step @p169 :rule eq_resolve :premises (@p29 @p168)) % 0.38/0.58 (step @p170 :rule instantiate :premises (@p169) :args (@t85)) % 0.38/0.58 (step @p171 :rule cnf_or_pos :args (@t111)) % 0.38/0.58 (step @p172 :rule reordering :premises (@p171) :args ((or @t101 @t110 (not @t111)))) % 0.38/0.58 (step @p173 :rule chain_m_resolution :premises (@p172 @p144 @p170) :args (@t110 @t69 (@list @t100 @t111))) % 0.38/0.58 (step @p174 :rule cnf_or_pos :args (@t114)) % 0.38/0.58 (step @p175 :rule reordering :premises (@p174) :args ((or @t91 @t113 @t112 (not @t114)))) % 0.38/0.58 (step @p176 :rule chain_m_resolution :premises (@p175 @p130 @p173 @p166) :args (@t112 @t108 (@list @t90 @t110 @t114))) % 0.38/0.58 (step @p177 :rule trans :premises (@p176 @p157)) % 0.38/0.58 (step @p178 :rule cong :premises (@p177) :args (@t89)) % 0.38/0.58 (step @p179 :rule cnf_or_neg :args (@t92 1)) % 0.38/0.58 (step @p180 :rule chain_m_resolution :premises (@p179 @p106) :args ((not @t89) @t79 @t93)) % 0.38/0.58 (step @p181 :rule false_intro :premises (@p180)) % 0.38/0.58 (step @p182 :rule symm :premises (@p181)) % 0.38/0.58 (step @p183 :rule trans :premises (@p182 @p178 @p88)) % 0.38/0.58 (step @p184 false :rule eq_resolve :premises (@p183 @p31)) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------