%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR307_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:13:19 AM UTC 2026 % Result : Theorem 45.53s 45.82s % Output : Proof 45.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR307_1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 22:24:33 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 45.53/45.82 --- Run --finite-model-find --decision=internal at 45... % 45.53/45.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.53/45.82 % SZS status Theorem % 45.53/45.82 % SZS output start Proof % 45.53/45.82 ( % 45.53/45.82 (declare-sort tptp.event 0) % 45.53/45.82 (declare-sort tptp.fluent 0) % 45.53/45.82 (declare-sort tptp.time 0) % 45.53/45.82 (declare-const tptp.spilling tptp.fluent) % 45.53/45.82 (declare-const tptp.filling tptp.fluent) % 45.53/45.82 (declare-const tptp.waterLevel (-> Int tptp.fluent)) % 45.53/45.82 (declare-const tptp.overflow tptp.event) % 45.53/45.82 (declare-const tptp.at_time (-> Int tptp.time)) % 45.53/45.82 (declare-const tptp.terminates (-> tptp.event tptp.fluent tptp.time Bool)) % 45.53/45.82 (declare-const tptp.happens (-> tptp.event tptp.time Bool)) % 45.53/45.82 (declare-const tptp.stoppedIn (-> tptp.time tptp.fluent tptp.time Bool)) % 45.53/45.82 (declare-const tptp.initiates (-> tptp.event tptp.fluent tptp.time Bool)) % 45.53/45.82 (declare-const tptp.startedIn (-> tptp.time tptp.fluent tptp.time Bool)) % 45.53/45.82 (declare-const tptp.releasedAt (-> tptp.fluent tptp.time Bool)) % 45.53/45.82 (declare-const tptp.holdsAt (-> tptp.fluent tptp.time Bool)) % 45.53/45.82 (declare-const tptp.trajectory (-> tptp.fluent tptp.time tptp.fluent Int Bool)) % 45.53/45.82 (declare-const tptp.tapOff tptp.event) % 45.53/45.82 (declare-const tptp.antitrajectory (-> tptp.fluent tptp.time tptp.fluent Int Bool)) % 45.53/45.82 (declare-const tptp.releases (-> tptp.event tptp.fluent tptp.time Bool)) % 45.53/45.82 (declare-const tptp.tapOn tptp.event) % 45.53/45.82 (define @t1 () (@var "Time" Int)) % 45.53/45.82 (define @t2 () (tptp.at_time @t1)) % 45.53/45.82 (define @t3 () (@var "Fluent" tptp.fluent)) % 45.53/45.82 (define @t4 () (@var "Event" tptp.event)) % 45.53/45.82 (define @t5 () (tptp.terminates @t4 @t3 @t2)) % 45.53/45.82 (define @t6 () (@var "Time2" Int)) % 45.53/45.82 (define @t7 () (< @t1 @t6)) % 45.53/45.82 (define @t8 () (@var "Time1" Int)) % 45.53/45.82 (define @t9 () (< @t8 @t1)) % 45.53/45.82 (define @t10 () (tptp.happens @t4 @t2)) % 45.53/45.82 (define @t11 () (@list @t4 @t1)) % 45.53/45.82 (define @t12 () (tptp.at_time @t6)) % 45.53/45.82 (define @t13 () (tptp.at_time @t8)) % 45.53/45.82 (define @t14 () (@list @t8 @t3 @t6)) % 45.53/45.82 (define @t15 () (tptp.initiates @t4 @t3 @t2)) % 45.53/45.82 (define @t16 () (@var "Offset" Int)) % 45.53/45.82 (define @t17 () (tptp.at_time (+ @t1 @t16))) % 45.53/45.82 (define @t18 () (@var "Fluent2" tptp.fluent)) % 45.53/45.82 (define @t19 () (tptp.at_time (+ @t8 @t6))) % 45.53/45.82 (define @t20 () (@var "Fluent1" tptp.fluent)) % 45.53/45.82 (define @t21 () (+ @t1 1)) % 45.53/45.82 (define @t22 () (tptp.at_time @t21)) % 45.53/45.82 (define @t23 () (tptp.holdsAt @t3 @t22)) % 45.53/45.82 (define @t24 () (and @t10 @t5)) % 45.53/45.82 (define @t25 () (@list @t4)) % 45.53/45.82 (define @t26 () (tptp.releasedAt @t3 @t22)) % 45.53/45.82 (define @t27 () (not @t26)) % 45.53/45.82 (define @t28 () (tptp.holdsAt @t3 @t2)) % 45.53/45.82 (define @t29 () (@list @t3 @t1)) % 45.53/45.82 (define @t30 () (not @t23)) % 45.53/45.82 (define @t31 () (and @t10 @t15)) % 45.53/45.82 (define @t32 () (and @t10 (or @t15 @t5))) % 45.53/45.82 (define @t33 () (tptp.releasedAt @t3 @t2)) % 45.53/45.82 (define @t34 () (tptp.releases @t4 @t3 @t2)) % 45.53/45.82 (define @t35 () (and @t10 @t34)) % 45.53/45.82 (define @t36 () (exists @t25 @t35)) % 45.53/45.82 (define @t37 () (not @t36)) % 45.53/45.82 (define @t38 () (not @t33)) % 45.53/45.82 (define @t39 () (and @t38 @t37)) % 45.53/45.82 (define @t40 () (=> @t39 @t27)) % 45.53/45.82 (define @t41 () (forall @t29 @t40)) % 45.53/45.82 (define @t42 () (@list @t4 @t1 @t3)) % 45.53/45.82 (define @t43 () (@var "X" Int)) % 45.53/45.82 (define @t44 () (tptp.waterLevel @t43)) % 45.53/45.82 (define @t45 () (@list @t43)) % 45.53/45.82 (define @t46 () (forall @t45 (not (= tptp.spilling @t44)))) % 45.53/45.82 (define @t47 () (@var "Y" Int)) % 45.53/45.82 (define @t48 () (@var "Height" Int)) % 45.53/45.82 (define @t49 () (tptp.waterLevel @t48)) % 45.53/45.82 (define @t50 () (= @t3 @t49)) % 45.53/45.82 (define @t51 () (= @t4 tptp.overflow)) % 45.53/45.82 (define @t52 () (tptp.holdsAt @t49 @t2)) % 45.53/45.82 (define @t53 () (@list @t48)) % 45.53/45.82 (define @t54 () (= @t4 tptp.tapOff)) % 45.53/45.82 (define @t55 () (= @t3 tptp.filling)) % 45.53/45.82 (define @t56 () (= @t4 tptp.tapOn)) % 45.53/45.82 (define @t57 () (@list @t4 @t3 @t1)) % 45.53/45.82 (define @t58 () (and @t56 @t50)) % 45.53/45.82 (define @t59 () (exists @t53 @t58)) % 45.53/45.82 (define @t60 () (= @t34 @t59)) % 45.53/45.82 (define @t61 () (forall @t57 @t60)) % 45.53/45.82 (define @t62 () (@var "Height2" Int)) % 45.53/45.82 (define @t63 () (tptp.waterLevel @t62)) % 45.53/45.82 (define @t64 () (@var "Height1" Int)) % 45.53/45.82 (define @t65 () (tptp.holdsAt (tptp.waterLevel @t64) @t2)) % 45.53/45.82 (define @t66 () (tptp.at_time 0)) % 45.53/45.82 (define @t67 () (@var "X1" Int)) % 45.53/45.82 (define @t68 () (tptp.releasedAt tptp.spilling (tptp.at_time @t67))) % 45.53/45.82 (define @t69 () (tptp.releasedAt tptp.spilling (tptp.at_time (+ 1 @t67)))) % 45.53/45.82 (define @t70 () (@list @t67)) % 45.53/45.82 (define @t71 () (forall @t70 (=> @t69 @t68))) % 45.53/45.82 (define @t72 () (not @t71)) % 45.53/45.82 (define @t73 () (+ 1 @t1)) % 45.53/45.82 (define @t74 () (not (tptp.releasedAt @t3 (tptp.at_time @t73)))) % 45.53/45.82 (define @t75 () (forall @t25 (or (not @t10) (not @t34)))) % 45.53/45.82 (define @t76 () (not @t75)) % 45.53/45.82 (define @t77 () (and @t38 @t75)) % 45.53/45.82 (define @t78 () (forall @t25 (not @t35))) % 45.53/45.82 (define @t79 () (not @t78)) % 45.53/45.82 (define @t80 () (@quantifiers_skolemize (forall @t70 (or (not @t69) @t68)) 0)) % 45.53/45.82 (define @t81 () (tptp.at_time @t80)) % 45.53/45.82 (define @t82 () (tptp.releasedAt tptp.spilling @t81)) % 45.53/45.82 (define @t83 () (tptp.releasedAt tptp.spilling (tptp.at_time (+ 1 @t80)))) % 45.53/45.82 (define @t84 () (not @t83)) % 45.53/45.82 (define @t85 () (or @t84 @t82)) % 45.53/45.82 (define @t86 () (@list true)) % 45.53/45.82 (define @t87 () (@list @t85)) % 45.53/45.82 (define @t88 () (forall @t25 (or (not (tptp.happens @t4 @t81)) (not (tptp.releases @t4 tptp.spilling @t81))))) % 45.53/45.82 (define @t89 () (not @t88)) % 45.53/45.82 (define @t90 () (or @t82 @t89 @t84)) % 45.53/45.82 (define @t91 () (@list false true false)) % 45.53/45.82 (define @t92 () (@quantifiers_skolemize @t88 0)) % 45.53/45.82 (define @t93 () (tptp.releases @t92 tptp.spilling @t81)) % 45.53/45.82 (define @t94 () (not @t93)) % 45.53/45.82 (define @t95 () (or (not (tptp.happens @t92 @t81)) @t94)) % 45.53/45.82 (define @t96 () (forall @t53 (not (= tptp.spilling @t49)))) % 45.53/45.82 (define @t97 () (@list false)) % 45.53/45.82 (define @t98 () (not @t96)) % 45.53/45.82 (define @t99 () (and (= tptp.tapOn @t92) @t98)) % 45.53/45.82 (define @t100 () (not @t99)) % 45.53/45.82 (define @t101 () (not @t50)) % 45.53/45.82 (define @t102 () (forall @t53 @t101)) % 45.53/45.82 (define @t103 () (not @t102)) % 45.53/45.82 (define @t104 () (not @t56)) % 45.53/45.82 (define @t105 () (or @t104 @t102)) % 45.53/45.82 (define @t106 () (= @t34 (not @t105))) % 45.53/45.82 (define @t107 () (forall @t53 (not @t58))) % 45.53/45.82 (define @t108 () (not @t107)) % 45.53/45.82 (define @t109 () (and (= @t92 tptp.tapOn) @t98)) % 45.53/45.82 (define @t110 () (= @t93 @t109)) % 45.53/45.82 (define @t111 () (forall @t57 (= @t34 (and @t56 @t103)))) % 45.53/45.82 (define @t112 () (= @t93 @t99)) % 45.53/45.82 (assume @p1 (forall @t14 (= (tptp.stoppedIn @t13 @t3 @t12) (exists @t11 (and @t10 @t9 @t7 @t5))))) % 45.53/45.82 (assume @p2 (forall @t14 (= (tptp.startedIn @t13 @t3 @t12) (exists @t11 (and @t10 @t9 @t7 @t15))))) % 45.53/45.82 (assume @p3 (forall (@list @t4 @t1 @t3 @t18 @t16) (=> (and @t10 @t15 (< 0 @t16) (tptp.trajectory @t3 @t2 @t18 @t16) (not (tptp.stoppedIn @t2 @t3 @t17))) (tptp.holdsAt @t18 @t17)))) % 45.53/45.82 (assume @p4 (forall (@list @t4 @t8 @t20 @t6 @t18) (=> (and (tptp.happens @t4 @t13) (tptp.terminates @t4 @t20 @t13) (< 0 @t6) (tptp.antitrajectory @t20 @t13 @t18 @t6) (not (tptp.startedIn @t13 @t20 @t19))) (tptp.holdsAt @t18 @t19)))) % 45.53/45.82 (assume @p5 (forall @t29 (=> (and @t28 @t27 (not (exists @t25 @t24))) @t23))) % 45.53/45.82 (assume @p6 (forall @t29 (=> (and (not @t28) @t27 (not (exists @t25 @t31))) @t30))) % 45.53/45.82 (assume @p7 (forall @t29 (=> (and @t33 (not (exists @t25 @t32))) @t26))) % 45.53/45.82 (assume @p8 @t41) % 45.53/45.82 (assume @p9 (forall @t42 (=> @t31 @t23))) % 45.53/45.82 (assume @p10 (forall @t42 (=> @t24 @t30))) % 45.53/45.82 (assume @p11 (forall @t42 (=> @t35 @t26))) % 45.53/45.82 (assume @p12 (forall @t42 (=> @t32 @t27))) % 45.53/45.82 (assume @p13 (not (= tptp.tapOn tptp.tapOff))) % 45.53/45.82 (assume @p14 (not (= tptp.tapOn tptp.overflow))) % 45.53/45.82 (assume @p15 (not (= tptp.tapOff tptp.overflow))) % 45.53/45.82 (assume @p16 (forall @t45 (not (= tptp.filling @t44)))) % 45.53/45.82 (assume @p17 @t46) % 45.53/45.82 (assume @p18 (not (= tptp.filling tptp.spilling))) % 45.53/45.82 (assume @p19 (forall (@list @t43 @t47) (= (= @t44 (tptp.waterLevel @t47)) (= @t43 @t47)))) % 45.53/45.82 (assume @p20 (forall @t57 (= @t15 (or (and @t56 @t55) (and @t51 (= @t3 tptp.spilling)) (exists @t53 (and @t52 @t54 @t50)) (exists @t53 (and @t52 @t51 @t50)))))) % 45.53/45.82 (assume @p21 (forall @t57 (= @t5 (or (and @t54 @t55) (and @t51 @t55))))) % 45.53/45.82 (assume @p22 @t61) % 45.53/45.82 (assume @p23 (forall (@list @t64 @t1 @t62 @t16) (=> (and @t65 (= @t62 (+ @t64 @t16))) (tptp.trajectory tptp.filling @t2 @t63 @t16)))) % 45.53/45.82 (assume @p24 (forall (@list @t1 @t64 @t62) (=> (and @t65 (tptp.holdsAt @t63 @t2)) (= @t64 @t62)))) % 45.53/45.82 (assume @p25 (forall @t11 (= @t10 (or (and @t56 (= @t1 0)) (and (tptp.holdsAt (tptp.waterLevel 3) @t2) (tptp.holdsAt tptp.filling @t2) @t51))))) % 45.53/45.82 (assume @p26 (tptp.holdsAt (tptp.waterLevel 0) @t66)) % 45.53/45.82 (assume @p27 (not (tptp.holdsAt tptp.filling @t66))) % 45.53/45.82 (assume @p28 (not (tptp.holdsAt tptp.spilling @t66))) % 45.53/45.82 (assume @p29 (forall @t53 (not (tptp.releasedAt @t49 @t66)))) % 45.53/45.82 (assume @p30 (not (tptp.releasedAt tptp.filling @t66))) % 45.53/45.82 (assume @p31 (not (tptp.releasedAt tptp.spilling @t66))) % 45.53/45.82 (assume @p32 @t72) % 45.53/45.82 (assume @p33 true) % 45.53/45.82 (step @p34 :rule aci_norm :args ((= (or (or @t33 @t76) @t74) (or @t33 @t76 @t74)))) % 45.53/45.82 (step @p35 :rule refl :args (@t74)) % 45.53/45.82 (step @p36 :rule refl :args (@t76)) % 45.53/45.82 (step @p37 :rule bool-double-not-elim :args (@t33)) % 45.53/45.82 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t38) @t76))) % 45.53/45.82 (step @p39 :rule bool-and-de-morgan :args (@t38 @t75 true)) % 45.53/45.82 (step @p40 :rule trans :premises (@p39 @p38)) % 45.53/45.82 (step @p41 :rule nary_cong :premises (@p40 @p35) :args ((or (not @t77) @t74))) % 45.53/45.82 (step @p42 :rule trans :premises (@p41 @p34)) % 45.53/45.82 (step @p43 :rule bool-impl-elim :args (@t77 @t74)) % 45.53/45.82 (step @p44 :rule trans :premises (@p43 @p42)) % 45.53/45.82 (step @p45 :rule cong :premises (@p44) :args ((forall @t29 (=> @t77 @t74)))) % 45.53/45.82 (step @p46 :rule arith_poly_norm :args ((= @t21 @t73))) % 45.53/45.82 (step @p47 :rule cong :premises (@p46) :args (@t22)) % 45.53/45.82 (step @p48 :rule refl :args (@t3)) % 45.53/45.82 (step @p49 :rule cong :premises (@p48 @p47) :args (@t26)) % 45.53/45.82 (step @p50 :rule cong :premises (@p49) :args (@t27)) % 45.53/45.82 (step @p51 :rule bool-double-not-elim :args (@t75)) % 45.53/45.82 (step @p52 :rule bool-and-de-morgan :args (@t10 @t34 true)) % 45.53/45.82 (step @p53 :rule cong :premises (@p52) :args (@t78)) % 45.53/45.82 (step @p54 :rule cong :premises (@p53) :args (@t79)) % 45.53/45.82 (step @p55 :rule exists-elim :args ((= @t36 @t79))) % 45.53/45.82 (step @p56 :rule trans :premises (@p55 @p54)) % 45.53/45.82 (step @p57 :rule cong :premises (@p56) :args (@t37)) % 45.53/45.82 (step @p58 :rule trans :premises (@p57 @p51)) % 45.53/45.82 (step @p59 :rule refl :args (@t38)) % 45.53/45.82 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t39)) % 45.53/45.82 (step @p61 :rule cong :premises (@p60 @p50) :args (@t40)) % 45.53/45.82 (step @p62 :rule cong :premises (@p61) :args (@t41)) % 45.53/45.82 (step @p63 :rule trans :premises (@p62 @p45)) % 45.53/45.82 (step @p64 :rule eq_resolve :premises (@p8 @p63)) % 45.53/45.82 (step @p65 :rule instantiate :premises (@p64) :args ((@list tptp.spilling @t80))) % 45.53/45.82 (step @p66 :rule bool-impl-elim :args (@t69 @t68)) % 45.53/45.82 (step @p67 :rule cong :premises (@p66) :args (@t71)) % 45.53/45.82 (step @p68 :rule cong :premises (@p67) :args (@t72)) % 45.53/45.82 (step @p69 :rule eq_resolve :premises (@p32 @p68)) % 45.53/45.82 (step @p70 :rule skolemize :premises (@p69)) % 45.53/45.82 (step @p71 :rule cnf_or_neg :args (@t85 1)) % 45.53/45.82 (step @p72 :rule chain_m_resolution :premises (@p71 @p70) :args ((not @t82) @t86 @t87)) % 45.53/45.82 (step @p73 :rule bool-double-not-elim :args (@t83)) % 45.53/45.82 (step @p74 :rule refl :args (@t85)) % 45.53/45.82 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t85 (not @t84)))) % 45.53/45.82 (step @p76 :rule cnf_or_neg :args (@t85 0)) % 45.53/45.82 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 45.53/45.82 (step @p78 :rule reordering :premises (@p77) :args ((or @t83 @t85))) % 45.53/45.82 (step @p79 :rule chain_m_resolution :premises (@p78 @p70) :args (@t83 @t86 @t87)) % 45.53/45.82 (step @p80 :rule cnf_or_pos :args (@t90)) % 45.53/45.82 (step @p81 :rule reordering :premises (@p80) :args ((or @t84 @t82 @t89 (not @t90)))) % 45.53/45.82 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p72 @p65) :args (@t89 @t91 (@list @t83 @t82 @t90))) % 45.53/45.82 (step @p83 :rule skolemize :premises (@p82)) % 45.53/45.82 (step @p84 :rule bool-double-not-elim :args (@t93)) % 45.53/45.82 (step @p85 :rule refl :args (@t95)) % 45.53/45.82 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t95 (not @t94)))) % 45.53/45.82 (step @p87 :rule cnf_or_neg :args (@t95 1)) % 45.53/45.82 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 45.53/45.82 (step @p89 :rule reordering :premises (@p88) :args ((or @t93 @t95))) % 45.53/45.82 (step @p90 :rule chain_m_resolution :premises (@p89 @p83) :args (@t93 @t86 (@list @t95))) % 45.53/45.82 (step @p91 :rule alpha_equiv :args (@t46 (@list @t43) (@list @t48))) % 45.53/45.82 (step @p92 :rule equiv_elim1 :premises (@p91)) % 45.53/45.82 (step @p93 :rule chain_m_resolution :premises (@p92 @p17) :args (@t96 @t97 (@list @t46))) % 45.53/45.82 (step @p94 :rule cnf_and_pos :args (@t99 1)) % 45.53/45.82 (step @p95 :rule reordering :premises (@p94) :args ((or @t98 @t100))) % 45.53/45.82 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t100 @t97 (@list @t96))) % 45.53/45.82 (step @p97 :rule refl :args (@t103)) % 45.53/45.82 (step @p98 :rule bool-double-not-elim :args (@t56)) % 45.53/45.82 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((and (not @t104) @t103))) % 45.53/45.82 (step @p100 :rule bool-or-de-morgan :args (@t104 @t102 false)) % 45.53/45.82 (step @p101 :rule trans :premises (@p100 @p99)) % 45.53/45.82 (step @p102 :rule refl :args (@t34)) % 45.53/45.82 (step @p103 :rule cong :premises (@p102 @p101) :args (@t106)) % 45.53/45.82 (step @p104 :rule cong :premises (@p103) :args ((forall @t57 @t106))) % 45.53/45.82 (step @p105 :rule quant-miniscope-or :args ((= (forall @t53 (or @t104 @t101)) @t105))) % 45.53/45.83 (step @p106 :rule bool-and-de-morgan :args (@t56 @t50 true)) % 45.53/45.83 (step @p107 :rule cong :premises (@p106) :args (@t107)) % 45.53/45.83 (step @p108 :rule trans :premises (@p107 @p105)) % 45.53/45.83 (step @p109 :rule cong :premises (@p108) :args (@t108)) % 45.53/45.83 (step @p110 :rule exists-elim :args ((= @t59 @t108))) % 45.53/45.83 (step @p111 :rule trans :premises (@p110 @p109)) % 45.53/45.83 (step @p112 :rule refl :args (@t34)) % 45.53/45.83 (step @p113 :rule cong :premises (@p112 @p111) :args (@t60)) % 45.53/45.83 (step @p114 :rule cong :premises (@p113) :args (@t61)) % 45.53/45.83 (step @p115 :rule trans :premises (@p114 @p104)) % 45.53/45.83 (step @p116 :rule eq_resolve :premises (@p22 @p115)) % 45.53/45.83 (step @p117 :rule refl :args (@t98)) % 45.53/45.83 (step @p118 :rule eq-symm :args (@t92 tptp.tapOn)) % 45.53/45.83 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t109)) % 45.53/45.83 (step @p120 :rule refl :args (@t93)) % 45.53/45.83 (step @p121 :rule cong :premises (@p120 @p119) :args (@t110)) % 45.53/45.83 (step @p122 :rule refl :args (@t111)) % 45.53/45.83 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t111 @t110))) % 45.53/45.83 (assume-push @p134 @t111) % 45.53/45.83 (step @p125 :rule instantiate :premises (@p116) :args ((@list @t92 tptp.spilling @t80))) % 45.53/45.83 (step-pop @p135 :rule scope :premises (@p125)) % 45.53/45.83 (step @p126 :rule process_scope :premises (@p135) :args (@t110)) % 45.53/45.83 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 45.53/45.83 (step @p129 :rule implies_elim :premises (@p128)) % 45.53/45.83 (step @p130 :rule chain_m_resolution :premises (@p129 @p116) :args (@t112 @t97 (@list @t111))) % 45.53/45.83 (step @p131 :rule cnf_equiv_pos1 :args (@t112)) % 45.53/45.83 (step @p132 :rule reordering :premises (@p131) :args ((or @t94 @t99 (not @t112)))) % 45.53/45.83 (step @p133 false :rule chain_m_resolution :premises (@p132 @p130 @p96 @p90) :args (false @t91 (@list @t112 @t99 @t93))) % 45.53/45.83 ) % 45.53/45.83 % SZS output end Proof % 45.53/45.83 % cvc5 exiting %------------------------------------------------------------------------------