%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS078+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 : n001.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 0.31s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS078+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n001.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 05:28:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cq (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.i2003_11_14_17_19_13721 $$unsorted) % 0.37/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t3 () (= @t2 @t1)) % 0.37/0.57 (define @t4 () (@list @t2 @t1)) % 0.37/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t6 () (@list @t2 @t1 @t5)) % 0.37/0.57 (define @t7 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t8 () (@list @t7)) % 0.37/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t10 () (tptp.cp @t9)) % 0.37/0.57 (define @t11 () (not @t10)) % 0.37/0.57 (define @t12 () (tptp.cq @t9)) % 0.37/0.57 (define @t13 () (not @t12)) % 0.37/0.57 (define @t14 () (tptp.rs @t7 @t9)) % 0.37/0.57 (define @t15 () (and @t14 @t13 @t11)) % 0.37/0.57 (define @t16 () (@list @t9)) % 0.37/0.57 (define @t17 () (exists @t16 @t15)) % 0.37/0.57 (define @t18 () (@var "Z1" $$unsorted)) % 0.37/0.57 (define @t19 () (@var "Z0" $$unsorted)) % 0.37/0.57 (define @t20 () (= @t19 @t18)) % 0.37/0.57 (define @t21 () (tptp.rinvR @t9 @t18)) % 0.37/0.57 (define @t22 () (tptp.rinvR @t9 @t19)) % 0.37/0.57 (define @t23 () (and @t22 @t21)) % 0.37/0.57 (define @t24 () (@list @t19 @t18)) % 0.37/0.57 (define @t25 () (forall @t24 (=> @t23 @t20))) % 0.37/0.57 (define @t26 () (@var "W" $$unsorted)) % 0.37/0.57 (define @t27 () (tptp.cp @t26)) % 0.37/0.57 (define @t28 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t29 () (tptp.rs @t28 @t26)) % 0.37/0.57 (define @t30 () (@list @t26)) % 0.37/0.57 (define @t31 () (forall @t30 (=> @t29 @t27))) % 0.37/0.57 (define @t32 () (tptp.rinvR @t9 @t28)) % 0.37/0.57 (define @t33 () (and @t32 @t31)) % 0.37/0.57 (define @t34 () (@list @t28)) % 0.37/0.57 (define @t35 () (exists @t34 @t33)) % 0.37/0.57 (define @t36 () (tptp.rr @t7 @t9)) % 0.37/0.57 (define @t37 () (and @t36 @t35 @t25)) % 0.37/0.57 (define @t38 () (exists @t16 @t37)) % 0.37/0.57 (define @t39 () (and @t38 @t17)) % 0.37/0.57 (define @t40 () (tptp.cUnsatisfiable @t7)) % 0.37/0.57 (define @t41 () (= @t40 @t39)) % 0.37/0.57 (define @t42 () (forall @t8 @t41)) % 0.37/0.57 (define @t43 () (forall (@list @t7 @t9) (= (tptp.rinvR @t7 @t9) (tptp.rr @t9 @t7)))) % 0.37/0.57 (define @t44 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_13721)) % 0.37/0.57 (define @t45 () (not @t14)) % 0.37/0.57 (define @t46 () (not @t11)) % 0.37/0.57 (define @t47 () (not @t13)) % 0.37/0.57 (define @t48 () (or @t45 @t47 @t46)) % 0.37/0.57 (define @t49 () (forall @t16 (not @t15))) % 0.37/0.57 (define @t50 () (not @t49)) % 0.37/0.57 (define @t51 () (@var "BOUND_VARIABLE_7749" $$unsorted)) % 0.37/0.57 (define @t52 () (not (forall @t30 (or (not (tptp.rs @t51 @t26)) @t27)))) % 0.37/0.57 (define @t53 () (not (tptp.rinvR @t9 @t51))) % 0.37/0.57 (define @t54 () (not @t21)) % 0.37/0.57 (define @t55 () (not @t22)) % 0.37/0.57 (define @t56 () (or @t55 @t54 @t20)) % 0.37/0.57 (define @t57 () (forall @t24 @t56)) % 0.37/0.57 (define @t58 () (not @t57)) % 0.37/0.57 (define @t59 () (not @t36)) % 0.37/0.57 (define @t60 () (or @t53 @t52)) % 0.37/0.57 (define @t61 () (or @t59 @t60 @t58)) % 0.37/0.57 (define @t62 () (@list @t9 @t51)) % 0.37/0.57 (define @t63 () (forall @t62 @t61)) % 0.37/0.57 (define @t64 () (@list @t51)) % 0.37/0.57 (define @t65 () (forall @t64 @t61)) % 0.37/0.57 (define @t66 () (forall @t64 @t60)) % 0.37/0.57 (define @t67 () (or @t59 @t66 @t58)) % 0.37/0.57 (define @t68 () (forall @t30 (or (not @t29) @t27))) % 0.37/0.57 (define @t69 () (forall @t34 (or (not @t32) (not @t68)))) % 0.37/0.57 (define @t70 () (not @t69)) % 0.37/0.57 (define @t71 () (not @t70)) % 0.37/0.57 (define @t72 () (or @t59 @t71 @t58)) % 0.37/0.57 (define @t73 () (and @t36 @t70 @t57)) % 0.37/0.57 (define @t74 () (forall @t16 (not @t73))) % 0.37/0.57 (define @t75 () (not @t74)) % 0.37/0.57 (define @t76 () (and @t32 @t68)) % 0.37/0.57 (define @t77 () (forall @t34 (not @t76))) % 0.37/0.57 (define @t78 () (not @t77)) % 0.37/0.57 (define @t79 () (forall @t16 (or (not (tptp.rs tptp.i2003_11_14_17_19_13721 @t9)) @t12 @t10))) % 0.37/0.57 (define @t80 () (not @t79)) % 0.37/0.57 (define @t81 () (forall @t62 (or (not (tptp.rr tptp.i2003_11_14_17_19_13721 @t9)) @t58 @t53 @t52))) % 0.37/0.57 (define @t82 () (not @t81)) % 0.37/0.57 (define @t83 () (and @t82 @t80)) % 0.37/0.57 (define @t84 () (= @t44 @t83)) % 0.37/0.57 (define @t85 () (@list false false)) % 0.37/0.57 (define @t86 () (not @t83)) % 0.37/0.57 (define @t87 () (@list false)) % 0.37/0.57 (define @t88 () (@list @t83)) % 0.37/0.57 (define @t89 () (@quantifiers_skolemize @t81 1)) % 0.37/0.57 (define @t90 () (forall @t30 (or (not (tptp.rs @t89 @t26)) @t27))) % 0.37/0.57 (define @t91 () (not @t90)) % 0.37/0.57 (define @t92 () (@quantifiers_skolemize @t81 0)) % 0.37/0.57 (define @t93 () (tptp.rinvR @t92 @t89)) % 0.37/0.57 (define @t94 () (not @t93)) % 0.37/0.57 (define @t95 () (forall @t24 (or (not (tptp.rinvR @t92 @t19)) (not (tptp.rinvR @t92 @t18)) @t20))) % 0.37/0.57 (define @t96 () (not @t95)) % 0.37/0.57 (define @t97 () (tptp.rr tptp.i2003_11_14_17_19_13721 @t92)) % 0.37/0.57 (define @t98 () (not @t97)) % 0.37/0.57 (define @t99 () (or @t98 @t96 @t94 @t91)) % 0.37/0.57 (define @t100 () (@list true)) % 0.37/0.57 (define @t101 () (@list @t99)) % 0.37/0.57 (define @t102 () (@quantifiers_skolemize @t79 0)) % 0.37/0.57 (define @t103 () (tptp.cp @t102)) % 0.37/0.57 (define @t104 () (tptp.rs tptp.i2003_11_14_17_19_13721 @t102)) % 0.37/0.57 (define @t105 () (not @t104)) % 0.37/0.57 (define @t106 () (or @t105 (tptp.cq @t102) @t103)) % 0.37/0.57 (define @t107 () (@list @t106)) % 0.37/0.57 (define @t108 () (not (tptp.rs @t89 @t102))) % 0.37/0.57 (define @t109 () (or @t108 @t103)) % 0.37/0.57 (define @t110 () (tptp.rinvR @t92 tptp.i2003_11_14_17_19_13721)) % 0.37/0.57 (define @t111 () (not @t110)) % 0.37/0.57 (define @t112 () (or @t94 @t111 (= @t89 tptp.i2003_11_14_17_19_13721))) % 0.37/0.57 (define @t113 () (= tptp.i2003_11_14_17_19_13721 @t89)) % 0.37/0.57 (define @t114 () (or @t94 @t111 @t113)) % 0.37/0.57 (define @t115 () (= @t110 @t97)) % 0.37/0.57 (define @t116 () (= @t97 @t110)) % 0.37/0.57 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.37/0.57 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.37/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.37/0.57 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.37/0.57 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cq @t2)) (tptp.cq @t1)))) % 0.37/0.57 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.37/0.57 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.37/0.57 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.37/0.57 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.37/0.57 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rs @t2 @t5)) (tptp.rs @t1 @t5)))) % 0.37/0.57 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rs @t5 @t2)) (tptp.rs @t5 @t1)))) % 0.37/0.57 (assume @p12 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.37/0.57 (assume @p13 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.37/0.57 (assume @p14 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.37/0.57 (assume @p15 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.37/0.57 (assume @p16 @t42) % 0.37/0.57 (assume @p17 @t43) % 0.37/0.57 (assume @p18 @t44) % 0.37/0.57 (step @p19 :rule evaluate :args ((= true false))) % 0.37/0.57 (step @p20 :rule bool-double-not-elim :args (@t10)) % 0.37/0.57 (step @p21 :rule bool-double-not-elim :args (@t12)) % 0.37/0.57 (step @p22 :rule refl :args (@t45)) % 0.37/0.57 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args (@t48)) % 0.37/0.57 (step @p24 :rule aci_norm :args ((= (or @t45 (or @t47 @t46)) @t48))) % 0.37/0.57 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.57 (step @p26 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 0.37/0.57 (step @p27 :rule nary_cong :premises (@p22 @p26) :args ((or @t45 (not (and @t13 @t11))))) % 0.37/0.57 (step @p28 :rule bool-and-de-morgan :args (@t14 @t13 (and @t11))) % 0.37/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.37/0.57 (step @p30 :rule trans :premises (@p29 @p25)) % 0.37/0.57 (step @p31 :rule cong :premises (@p30) :args (@t49)) % 0.37/0.57 (step @p32 :rule cong :premises (@p31) :args (@t50)) % 0.37/0.57 (step @p33 :rule exists-elim :args ((= @t17 @t50))) % 0.37/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.37/0.57 (step @p35 :rule aci_norm :args ((= @t61 (or @t59 @t58 @t53 @t52)))) % 0.37/0.57 (step @p36 :rule cong :premises (@p35) :args (@t63)) % 0.37/0.57 (step @p37 :rule quant-merge-prenex :args ((= (forall @t16 @t65) @t63))) % 0.37/0.57 (step @p38 :rule refl :args (@t58)) % 0.37/0.57 (step @p39 :rule alpha_equiv :args (@t66 (@list @t51) (@list @t28))) % 0.37/0.57 (step @p40 :rule refl :args (@t59)) % 0.37/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t67)) % 0.37/0.57 (step @p42 :rule quant-miniscope-or :args ((= @t65 @t67))) % 0.37/0.57 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.57 (step @p44 :rule symm :premises (@p43)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44) :args ((forall @t16 (or @t59 @t69 @t58)))) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p37)) % 0.37/0.57 (step @p47 :rule trans :premises (@p46 @p36)) % 0.37/0.57 (step @p48 :rule bool-double-not-elim :args (@t69)) % 0.37/0.57 (step @p49 :rule nary_cong :premises (@p40 @p48 @p38) :args (@t72)) % 0.37/0.57 (step @p50 :rule aci_norm :args ((= (or @t59 (or @t71 @t58)) @t72))) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.57 (step @p52 :rule bool-and-de-morgan :args (@t70 @t57 true)) % 0.37/0.57 (step @p53 :rule nary_cong :premises (@p40 @p52) :args ((or @t59 (not (and @t70 @t57))))) % 0.37/0.57 (step @p54 :rule bool-and-de-morgan :args (@t36 @t70 (and @t57))) % 0.37/0.57 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.57 (step @p56 :rule trans :premises (@p55 @p51)) % 0.37/0.57 (step @p57 :rule cong :premises (@p56) :args (@t74)) % 0.37/0.57 (step @p58 :rule trans :premises (@p57 @p47)) % 0.37/0.57 (step @p59 :rule cong :premises (@p58) :args (@t75)) % 0.37/0.57 (step @p60 :rule exists-elim :args ((= (exists @t16 @t73) @t75))) % 0.37/0.57 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.57 (step @p62 :rule aci_norm :args ((= (or (or @t55 @t54) @t20) @t56))) % 0.37/0.57 (step @p63 :rule refl :args (@t20)) % 0.37/0.57 (step @p64 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.37/0.57 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t23) @t20))) % 0.37/0.57 (step @p66 :rule trans :premises (@p65 @p62)) % 0.37/0.57 (step @p67 :rule bool-impl-elim :args (@t23 @t20)) % 0.37/0.57 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.57 (step @p69 :rule cong :premises (@p68) :args (@t25)) % 0.37/0.57 (step @p70 :rule bool-and-de-morgan :args (@t32 @t68 true)) % 0.37/0.57 (step @p71 :rule cong :premises (@p70) :args (@t77)) % 0.37/0.57 (step @p72 :rule cong :premises (@p71) :args (@t78)) % 0.37/0.57 (step @p73 :rule exists-elim :args ((= (exists @t34 @t76) @t78))) % 0.37/0.57 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.57 (step @p75 :rule bool-impl-elim :args (@t29 @t27)) % 0.37/0.57 (step @p76 :rule cong :premises (@p75) :args (@t31)) % 0.37/0.57 (step @p77 :rule refl :args (@t32)) % 0.37/0.57 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t33)) % 0.37/0.57 (step @p79 :rule cong :premises (@p78) :args (@t35)) % 0.37/0.57 (step @p80 :rule trans :premises (@p79 @p74)) % 0.37/0.57 (step @p81 :rule refl :args (@t36)) % 0.37/0.57 (step @p82 :rule nary_cong :premises (@p81 @p80 @p69) :args (@t37)) % 0.37/0.57 (step @p83 :rule cong :premises (@p82) :args (@t38)) % 0.37/0.57 (step @p84 :rule trans :premises (@p83 @p61)) % 0.37/0.57 (step @p85 :rule nary_cong :premises (@p84 @p34) :args (@t39)) % 0.37/0.57 (step @p86 :rule refl :args (@t40)) % 0.37/0.57 (step @p87 :rule cong :premises (@p86 @p85) :args (@t41)) % 0.37/0.57 (step @p88 :rule cong :premises (@p87) :args (@t42)) % 0.37/0.57 (step @p89 :rule eq_resolve :premises (@p16 @p88)) % 0.37/0.57 (step @p90 :rule instantiate :premises (@p89) :args ((@list tptp.i2003_11_14_17_19_13721))) % 0.37/0.57 (step @p91 :rule cnf_equiv_pos1 :args (@t84)) % 0.37/0.57 (step @p92 :rule reordering :premises (@p91) :args ((or (not @t44) @t83 (not @t84)))) % 0.37/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p18 @p90) :args (@t83 @t85 (@list @t44 @t84))) % 0.37/0.57 (step @p94 :rule cnf_and_pos :args (@t83 0)) % 0.37/0.57 (step @p95 :rule reordering :premises (@p94) :args ((or @t82 @t86))) % 0.37/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t82 @t87 @t88)) % 0.37/0.57 (step @p97 :rule skolemize :premises (@p96)) % 0.37/0.57 (step @p98 :rule bool-double-not-elim :args (@t90)) % 0.37/0.57 (step @p99 :rule refl :args (@t99)) % 0.37/0.57 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t99 (not @t91)))) % 0.37/0.57 (step @p101 :rule cnf_or_neg :args (@t99 3)) % 0.37/0.57 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.37/0.57 (step @p103 :rule reordering :premises (@p102) :args ((or @t90 @t99))) % 0.37/0.57 (step @p104 :rule chain_m_resolution :premises (@p103 @p97) :args (@t90 @t100 @t101)) % 0.37/0.57 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t102))) % 0.37/0.57 (step @p106 :rule cnf_and_pos :args (@t83 1)) % 0.37/0.57 (step @p107 :rule reordering :premises (@p106) :args ((or @t80 @t86))) % 0.37/0.57 (step @p108 :rule chain_m_resolution :premises (@p107 @p93) :args (@t80 @t87 @t88)) % 0.37/0.57 (step @p109 :rule skolemize :premises (@p108)) % 0.37/0.57 (step @p110 :rule cnf_or_neg :args (@t106 2)) % 0.37/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p109) :args ((not @t103) @t100 @t107)) % 0.37/0.57 (step @p112 :rule cnf_or_pos :args (@t109)) % 0.37/0.57 (step @p113 :rule reordering :premises (@p112) :args ((or @t103 @t108 (not @t109)))) % 0.37/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p105) :args (@t108 (@list true false) (@list @t103 @t109))) % 0.37/0.57 (step @p115 :rule false_intro :premises (@p114)) % 0.37/0.57 (step @p116 :rule refl :args (@t102)) % 0.37/0.57 (step @p117 :rule bool-double-not-elim :args (@t95)) % 0.37/0.57 (step @p118 :rule nary_cong :premises (@p99 @p117) :args ((or @t99 (not @t96)))) % 0.37/0.57 (step @p119 :rule cnf_or_neg :args (@t99 1)) % 0.37/0.57 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.37/0.57 (step @p121 :rule reordering :premises (@p120) :args ((or @t95 @t99))) % 0.37/0.57 (step @p122 :rule chain_m_resolution :premises (@p121 @p97) :args (@t95 @t100 @t101)) % 0.37/0.57 (step @p123 :rule eq-symm :args (@t89 tptp.i2003_11_14_17_19_13721)) % 0.37/0.57 (step @p124 :rule refl :args (@t111)) % 0.37/0.57 (step @p125 :rule refl :args (@t94)) % 0.37/0.57 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args (@t112)) % 0.37/0.57 (step @p127 :rule refl :args (@t95)) % 0.37/0.57 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t95 @t112))) % 0.37/0.57 (assume-push @p176 @t95) % 0.37/0.57 (step @p130 :rule instantiate :premises (@p122) :args ((@list @t89 tptp.i2003_11_14_17_19_13721))) % 0.37/0.57 (step-pop @p177 :rule scope :premises (@p130)) % 0.37/0.57 (step @p131 :rule process_scope :premises (@p177) :args (@t112)) % 0.37/0.57 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 0.37/0.57 (step @p134 :rule implies_elim :premises (@p133)) % 0.37/0.57 (step @p135 :rule chain_m_resolution :premises (@p134 @p122) :args (@t114 @t87 (@list @t95))) % 0.37/0.57 (step @p136 :rule eq-symm :args (@t110 @t97)) % 0.37/0.57 (step @p137 :rule refl :args (@t43)) % 0.37/0.57 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t43 @t115))) % 0.37/0.57 (assume-push @p178 @t43) % 0.37/0.57 (step @p140 :rule instantiate :premises (@p17) :args ((@list @t92 tptp.i2003_11_14_17_19_13721))) % 0.37/0.57 (step-pop @p179 :rule scope :premises (@p140)) % 0.37/0.57 (step @p141 :rule process_scope :premises (@p179) :args (@t115)) % 0.37/0.57 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.37/0.57 (step @p144 :rule implies_elim :premises (@p143)) % 0.37/0.57 (step @p145 :rule chain_m_resolution :premises (@p144 @p17) :args (@t116 @t87 (@list @t43))) % 0.37/0.57 (step @p146 :rule bool-double-not-elim :args (@t97)) % 0.37/0.57 (step @p147 :rule nary_cong :premises (@p99 @p146) :args ((or @t99 (not @t98)))) % 0.37/0.57 (step @p148 :rule cnf_or_neg :args (@t99 0)) % 0.37/0.57 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.37/0.57 (step @p150 :rule reordering :premises (@p149) :args ((or @t97 @t99))) % 0.37/0.57 (step @p151 :rule chain_m_resolution :premises (@p150 @p97) :args (@t97 @t100 @t101)) % 0.37/0.57 (step @p152 :rule cnf_equiv_pos1 :args (@t116)) % 0.37/0.57 (step @p153 :rule reordering :premises (@p152) :args ((or @t98 @t110 (not @t116)))) % 0.37/0.57 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p145) :args (@t110 @t85 (@list @t97 @t116))) % 0.37/0.57 (step @p155 :rule bool-double-not-elim :args (@t93)) % 0.37/0.57 (step @p156 :rule nary_cong :premises (@p99 @p155) :args ((or @t99 (not @t94)))) % 0.37/0.57 (step @p157 :rule cnf_or_neg :args (@t99 2)) % 0.37/0.57 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.37/0.57 (step @p159 :rule reordering :premises (@p158) :args ((or @t93 @t99))) % 0.37/0.57 (step @p160 :rule chain_m_resolution :premises (@p159 @p97) :args (@t93 @t100 @t101)) % 0.37/0.57 (step @p161 :rule cnf_or_pos :args (@t114)) % 0.37/0.57 (step @p162 :rule reordering :premises (@p161) :args ((or @t94 @t111 @t113 (not @t114)))) % 0.37/0.57 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p154 @p135) :args (@t113 (@list false false false) (@list @t93 @t110 @t114))) % 0.37/0.57 (step @p164 :rule cong :premises (@p163 @p116) :args (@t104)) % 0.37/0.57 (step @p165 :rule bool-double-not-elim :args (@t104)) % 0.37/0.57 (step @p166 :rule refl :args (@t106)) % 0.37/0.57 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t106 (not @t105)))) % 0.37/0.57 (step @p168 :rule cnf_or_neg :args (@t106 0)) % 0.37/0.57 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.37/0.57 (step @p170 :rule reordering :premises (@p169) :args ((or @t104 @t106))) % 0.37/0.57 (step @p171 :rule chain_m_resolution :premises (@p170 @p109) :args (@t104 @t100 @t107)) % 0.37/0.57 (step @p172 :rule true_intro :premises (@p171)) % 0.37/0.57 (step @p173 :rule symm :premises (@p172)) % 0.37/0.57 (step @p174 :rule trans :premises (@p173 @p164 @p115)) % 0.37/0.57 (step @p175 false :rule eq_resolve :premises (@p174 @p19)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------