%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG030-10 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:04:58 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ALG030-10 : TPTP v9.2.1. Released v7.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Wed Jun 3 01:37:33 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.36 % SZS status Unsatisfiable % 0.15/0.36 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.sK2_ax3_U $$unsorted) % 0.15/0.37 (declare-const tptp.sorti2 (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.sK1_ax3_V $$unsorted) % 0.15/0.37 (declare-const tptp.sorti1 (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.true $$unsorted) % 0.15/0.37 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.37 (define @t2 () (@var "C" $$unsorted)) % 0.15/0.37 (define @t3 () (@var "A" $$unsorted)) % 0.15/0.37 (define @t4 () (tptp.ifeq2 @t3 @t3 @t1 @t2)) % 0.15/0.37 (define @t5 () (@list @t3 @t1 @t2)) % 0.15/0.37 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.15/0.37 (define @t7 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.15/0.37 (define @t8 () (forall @t5 (= @t7 @t1))) % 0.15/0.37 (define @t9 () (@var "V" $$unsorted)) % 0.15/0.37 (define @t10 () (@var "U" $$unsorted)) % 0.15/0.37 (define @t11 () (tptp.sorti1 @t10)) % 0.15/0.37 (define @t12 () (tptp.ifeq (tptp.sorti1 @t9) tptp.true (tptp.ifeq @t11 tptp.true (tptp.sorti1 (tptp.op1 @t10 @t9)) tptp.true) tptp.true)) % 0.15/0.37 (define @t13 () (@list @t9 @t10)) % 0.15/0.37 (define @t14 () (forall @t13 (= @t12 tptp.true))) % 0.15/0.37 (define @t15 () (tptp.op2 @t10 @t9)) % 0.15/0.37 (define @t16 () (tptp.sorti2 @t10)) % 0.15/0.37 (define @t17 () (tptp.sorti2 @t9)) % 0.15/0.37 (define @t18 () (tptp.op1 tptp.sK1_ax3_V tptp.sK2_ax3_U)) % 0.15/0.37 (define @t19 () (tptp.op1 tptp.sK2_ax3_U tptp.sK1_ax3_V)) % 0.15/0.37 (define @t20 () (= @t19 @t18)) % 0.15/0.37 (define @t21 () (tptp.sorti1 tptp.sK1_ax3_V)) % 0.15/0.37 (define @t22 () (tptp.sorti1 tptp.sK2_ax3_U)) % 0.15/0.37 (define @t23 () (tptp.op2 @t9 @t10)) % 0.15/0.37 (define @t24 () (tptp.ifeq2 @t17 tptp.true (tptp.ifeq2 @t16 tptp.true @t15 @t23) @t23)) % 0.15/0.37 (define @t25 () (forall @t13 (= @t24 @t23))) % 0.15/0.37 (define @t26 () (tptp.ifeq @t11 tptp.true (tptp.sorti2 (tptp.h @t10)) tptp.true)) % 0.15/0.37 (define @t27 () (forall (@list @t10) (= @t26 tptp.true))) % 0.15/0.37 (define @t28 () (@var "X" $$unsorted)) % 0.15/0.37 (define @t29 () (@var "W" $$unsorted)) % 0.15/0.37 (define @t30 () (tptp.h (tptp.op1 @t29 @t28))) % 0.15/0.37 (define @t31 () (tptp.ifeq2 (tptp.sorti1 @t28) tptp.true (tptp.ifeq2 (tptp.sorti1 @t29) tptp.true (tptp.op2 (tptp.h @t29) (tptp.h @t28)) @t30) @t30)) % 0.15/0.37 (define @t32 () (forall (@list @t28 @t29) (= @t31 @t30))) % 0.15/0.37 (define @t33 () (@var "X2" $$unsorted)) % 0.15/0.37 (define @t34 () (tptp.ifeq2 (tptp.sorti1 @t33) tptp.true (tptp.j (tptp.h @t33)) @t33)) % 0.15/0.37 (define @t35 () (forall (@list @t33) (= @t34 @t33))) % 0.15/0.37 (define @t36 () (@var "Z" $$unsorted)) % 0.15/0.37 (define @t37 () (@var "Y" $$unsorted)) % 0.15/0.37 (define @t38 () (tptp.j (tptp.op2 @t37 @t36))) % 0.15/0.37 (define @t39 () (tptp.ifeq2 (tptp.sorti2 @t36) tptp.true (tptp.ifeq2 (tptp.sorti2 @t37) tptp.true (tptp.op1 (tptp.j @t37) (tptp.j @t36)) @t38) @t38)) % 0.15/0.37 (define @t40 () (forall (@list @t36 @t37) (= @t39 @t38))) % 0.15/0.37 (define @t41 () (@var "X1" $$unsorted)) % 0.15/0.37 (define @t42 () (@list tptp.sK1_ax3_V tptp.sK2_ax3_U)) % 0.15/0.37 (define @t43 () (@list tptp.sK2_ax3_U)) % 0.15/0.37 (define @t44 () (@list tptp.sK1_ax3_V)) % 0.15/0.37 (define @t45 () (tptp.h @t19)) % 0.15/0.37 (define @t46 () (tptp.h tptp.sK1_ax3_V)) % 0.15/0.37 (define @t47 () (tptp.h tptp.sK2_ax3_U)) % 0.15/0.37 (define @t48 () (tptp.op2 @t47 @t46)) % 0.15/0.37 (define @t49 () (tptp.h @t18)) % 0.15/0.37 (define @t50 () (tptp.op2 @t46 @t47)) % 0.15/0.37 (define @t51 () (tptp.j @t47)) % 0.15/0.37 (define @t52 () (tptp.j @t46)) % 0.15/0.37 (define @t53 () (tptp.sorti1 @t19)) % 0.15/0.37 (define @t54 () (tptp.sorti2 @t47)) % 0.15/0.37 (define @t55 () (tptp.sorti2 @t46)) % 0.15/0.37 (define @t56 () (tptp.j @t50)) % 0.15/0.37 (define @t57 () (tptp.op1 @t52 @t51)) % 0.15/0.37 (define @t58 () (tptp.j @t45)) % 0.15/0.37 (define @t59 () (= tptp.true @t21)) % 0.15/0.37 (define @t60 () (= tptp.true @t22)) % 0.15/0.37 (define @t61 () (tptp.ifeq @t22 tptp.true @t53 tptp.true)) % 0.15/0.37 (define @t62 () (= tptp.true (tptp.ifeq @t21 tptp.true @t61 tptp.true))) % 0.15/0.37 (define @t63 () (= tptp.true (tptp.ifeq @t22 tptp.true @t54 tptp.true))) % 0.15/0.37 (define @t64 () (= tptp.true (tptp.ifeq @t21 tptp.true @t55 tptp.true))) % 0.15/0.37 (define @t65 () (tptp.ifeq2 @t22 tptp.true @t48 @t45)) % 0.15/0.37 (define @t66 () (tptp.ifeq2 @t21 tptp.true @t65 @t45)) % 0.15/0.37 (define @t67 () (= @t45 @t66)) % 0.15/0.37 (define @t68 () (tptp.ifeq2 @t21 tptp.true @t50 @t49)) % 0.15/0.37 (define @t69 () (tptp.ifeq2 @t22 tptp.true @t68 @t49)) % 0.15/0.37 (define @t70 () (= @t49 @t69)) % 0.15/0.37 (define @t71 () (= tptp.sK2_ax3_U (tptp.ifeq2 @t22 tptp.true @t51 tptp.sK2_ax3_U))) % 0.15/0.37 (define @t72 () (= tptp.sK1_ax3_V (tptp.ifeq2 @t21 tptp.true @t52 tptp.sK1_ax3_V))) % 0.15/0.37 (define @t73 () (= @t48 (tptp.ifeq2 tptp.true tptp.true @t48 @t45))) % 0.15/0.37 (define @t74 () (= @t50 (tptp.ifeq2 tptp.true tptp.true @t50 @t49))) % 0.15/0.37 (define @t75 () (tptp.ifeq2 tptp.true tptp.true @t51 tptp.sK2_ax3_U)) % 0.15/0.37 (define @t76 () (= @t51 @t75)) % 0.15/0.37 (define @t77 () (tptp.ifeq2 tptp.true tptp.true @t52 tptp.sK1_ax3_V)) % 0.15/0.37 (define @t78 () (= @t52 @t77)) % 0.15/0.37 (define @t79 () (tptp.ifeq tptp.true tptp.true @t53 tptp.true)) % 0.15/0.37 (define @t80 () (= @t53 @t79)) % 0.15/0.37 (define @t81 () (tptp.ifeq tptp.true tptp.true @t54 tptp.true)) % 0.15/0.37 (define @t82 () (= @t54 @t81)) % 0.15/0.37 (define @t83 () (tptp.ifeq tptp.true tptp.true @t55 tptp.true)) % 0.15/0.37 (define @t84 () (= @t55 @t83)) % 0.15/0.37 (define @t85 () (tptp.ifeq2 @t54 tptp.true @t48 @t50)) % 0.15/0.37 (define @t86 () (= @t50 (tptp.ifeq2 @t55 tptp.true @t85 @t50))) % 0.15/0.37 (define @t87 () (tptp.ifeq2 @t53 tptp.true @t58 @t19)) % 0.15/0.37 (define @t88 () (= @t19 @t87)) % 0.15/0.37 (define @t89 () (tptp.ifeq2 @t55 tptp.true @t57 @t56)) % 0.15/0.37 (define @t90 () (tptp.ifeq2 @t54 tptp.true @t89 @t56)) % 0.15/0.37 (define @t91 () (= @t56 @t90)) % 0.15/0.37 (define @t92 () (= @t57 (tptp.ifeq2 tptp.true tptp.true @t57 @t56))) % 0.15/0.37 (define @t93 () (tptp.ifeq2 tptp.true tptp.true @t48 @t50)) % 0.15/0.37 (define @t94 () (= @t48 @t93)) % 0.15/0.37 (define @t95 () (= @t58 (tptp.ifeq2 tptp.true tptp.true @t58 @t19))) % 0.15/0.37 (define @t96 () (and @t59 @t60 @t62 @t63 @t64 @t67 @t70 @t71 @t72 @t73 @t74 @t76 @t78 @t80 @t82 @t84 @t86 @t88 @t91 @t92 @t94 @t95)) % 0.15/0.37 (assume @p1 @t6) % 0.15/0.37 (assume @p2 @t8) % 0.15/0.37 (assume @p3 @t14) % 0.15/0.37 (assume @p4 (forall @t13 (= (tptp.ifeq @t17 tptp.true (tptp.ifeq @t16 tptp.true (tptp.sorti2 @t15) tptp.true) tptp.true) tptp.true))) % 0.15/0.37 (assume @p5 (not @t20)) % 0.15/0.37 (assume @p6 (= @t21 tptp.true)) % 0.15/0.37 (assume @p7 (= @t22 tptp.true)) % 0.15/0.37 (assume @p8 @t25) % 0.15/0.37 (assume @p9 @t27) % 0.15/0.37 (assume @p10 @t32) % 0.15/0.37 (assume @p11 @t35) % 0.15/0.37 (assume @p12 (forall (@list @t9) (= (tptp.ifeq @t17 tptp.true (tptp.sorti1 (tptp.j @t9)) tptp.true) tptp.true))) % 0.15/0.37 (assume @p13 @t40) % 0.15/0.37 (assume @p14 (forall (@list @t41) (= (tptp.ifeq2 (tptp.sorti2 @t41) tptp.true (tptp.h (tptp.j @t41)) @t41) @t41))) % 0.15/0.37 (step @p15 :rule symm :premises (@p6)) % 0.15/0.37 (step @p16 :rule symm :premises (@p7)) % 0.15/0.37 (step @p17 :rule eq-symm :args (@t12 tptp.true)) % 0.15/0.37 (step @p18 :rule cong :premises (@p17) :args (@t14)) % 0.15/0.37 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 0.15/0.37 (step @p20 :rule instantiate :premises (@p19) :args (@t42)) % 0.15/0.37 (step @p21 :rule eq-symm :args (@t26 tptp.true)) % 0.15/0.37 (step @p22 :rule cong :premises (@p21) :args (@t27)) % 0.15/0.37 (step @p23 :rule eq_resolve :premises (@p9 @p22)) % 0.15/0.37 (step @p24 :rule instantiate :premises (@p23) :args (@t43)) % 0.15/0.37 (step @p25 :rule instantiate :premises (@p23) :args (@t44)) % 0.15/0.37 (step @p26 :rule eq-symm :args (@t31 @t30)) % 0.15/0.37 (step @p27 :rule cong :premises (@p26) :args (@t32)) % 0.15/0.37 (step @p28 :rule eq_resolve :premises (@p10 @p27)) % 0.15/0.37 (step @p29 :rule instantiate :premises (@p28) :args (@t42)) % 0.15/0.37 (step @p30 :rule instantiate :premises (@p28) :args ((@list tptp.sK2_ax3_U tptp.sK1_ax3_V))) % 0.15/0.37 (step @p31 :rule eq-symm :args (@t34 @t33)) % 0.15/0.37 (step @p32 :rule cong :premises (@p31) :args (@t35)) % 0.15/0.37 (step @p33 :rule eq_resolve :premises (@p11 @p32)) % 0.15/0.37 (step @p34 :rule instantiate :premises (@p33) :args (@t43)) % 0.15/0.37 (step @p35 :rule instantiate :premises (@p33) :args (@t44)) % 0.15/0.37 (step @p36 :rule eq-symm :args (@t4 @t1)) % 0.15/0.37 (step @p37 :rule cong :premises (@p36) :args (@t6)) % 0.15/0.37 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.15/0.37 (step @p39 :rule instantiate :premises (@p38) :args ((@list tptp.true @t48 @t45))) % 0.15/0.37 (step @p40 :rule instantiate :premises (@p38) :args ((@list tptp.true @t50 @t49))) % 0.15/0.37 (step @p41 :rule instantiate :premises (@p38) :args ((@list tptp.true @t51 tptp.sK2_ax3_U))) % 0.15/0.37 (step @p42 :rule instantiate :premises (@p38) :args ((@list tptp.true @t52 tptp.sK1_ax3_V))) % 0.15/0.37 (step @p43 :rule eq-symm :args (@t7 @t1)) % 0.15/0.37 (step @p44 :rule cong :premises (@p43) :args (@t8)) % 0.15/0.37 (step @p45 :rule eq_resolve :premises (@p2 @p44)) % 0.15/0.37 (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.true @t53 tptp.true))) % 0.15/0.37 (step @p47 :rule instantiate :premises (@p45) :args ((@list tptp.true @t54 tptp.true))) % 0.15/0.37 (step @p48 :rule instantiate :premises (@p45) :args ((@list tptp.true @t55 tptp.true))) % 0.15/0.37 (step @p49 :rule eq-symm :args (@t24 @t23)) % 0.15/0.37 (step @p50 :rule cong :premises (@p49) :args (@t25)) % 0.15/0.37 (step @p51 :rule eq_resolve :premises (@p8 @p50)) % 0.15/0.37 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t46 @t47))) % 0.15/0.37 (step @p53 :rule instantiate :premises (@p33) :args ((@list @t19))) % 0.15/0.37 (step @p54 :rule eq-symm :args (@t39 @t38)) % 0.15/0.37 (step @p55 :rule cong :premises (@p54) :args (@t40)) % 0.15/0.37 (step @p56 :rule eq_resolve :premises (@p13 @p55)) % 0.15/0.37 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t47 @t46))) % 0.15/0.37 (step @p58 :rule instantiate :premises (@p38) :args ((@list tptp.true @t57 @t56))) % 0.15/0.37 (step @p59 :rule instantiate :premises (@p38) :args ((@list tptp.true @t48 @t50))) % 0.15/0.37 (step @p60 :rule instantiate :premises (@p38) :args ((@list tptp.true @t58 @t19))) % 0.15/0.37 (assume-push @p188 @t59) % 0.15/0.37 (assume-push @p189 @t60) % 0.15/0.37 (assume-push @p190 @t62) % 0.15/0.37 (assume-push @p191 @t63) % 0.15/0.37 (assume-push @p192 @t64) % 0.15/0.37 (assume-push @p193 @t67) % 0.15/0.37 (assume-push @p194 @t70) % 0.15/0.37 (assume-push @p195 @t71) % 0.15/0.37 (assume-push @p196 @t72) % 0.15/0.37 (assume-push @p197 @t73) % 0.15/0.37 (assume-push @p198 @t74) % 0.15/0.37 (assume-push @p199 @t76) % 0.15/0.37 (assume-push @p200 @t78) % 0.15/0.37 (assume-push @p201 @t80) % 0.15/0.37 (assume-push @p202 @t82) % 0.15/0.37 (assume-push @p203 @t84) % 0.15/0.37 (assume-push @p204 @t86) % 0.15/0.37 (assume-push @p205 @t88) % 0.15/0.37 (assume-push @p206 @t91) % 0.15/0.37 (assume-push @p207 @t92) % 0.15/0.37 (assume-push @p208 @t94) % 0.15/0.37 (assume-push @p209 @t95) % 0.15/0.37 (step @p83 :rule symm :premises (@p34)) % 0.15/0.37 (step @p84 :rule refl :args (tptp.sK2_ax3_U)) % 0.15/0.37 (step @p85 :rule refl :args (@t51)) % 0.15/0.37 (step @p86 :rule refl :args (tptp.true)) % 0.15/0.37 (step @p87 :rule cong :premises (@p16 @p86 @p85 @p84) :args (@t75)) % 0.15/0.37 (step @p88 :rule trans :premises (@p41 @p87 @p83)) % 0.15/0.37 (step @p89 :rule symm :premises (@p35)) % 0.15/0.37 (step @p90 :rule refl :args (tptp.sK1_ax3_V)) % 0.15/0.37 (step @p91 :rule refl :args (@t52)) % 0.15/0.37 (step @p92 :rule cong :premises (@p15 @p86 @p91 @p90) :args (@t77)) % 0.15/0.37 (step @p93 :rule trans :premises (@p42 @p92 @p89)) % 0.15/0.37 (step @p94 :rule cong :premises (@p93 @p88) :args (@t57)) % 0.15/0.37 (step @p95 :rule symm :premises (@p58)) % 0.15/0.37 (step @p96 :rule refl :args (@t56)) % 0.15/0.37 (step @p97 :rule refl :args (@t57)) % 0.15/0.37 (step @p98 :rule symm :premises (@p25)) % 0.15/0.37 (step @p99 :rule refl :args (@t55)) % 0.15/0.37 (step @p100 :rule cong :premises (@p15 @p86 @p99 @p86) :args (@t83)) % 0.15/0.37 (step @p101 :rule trans :premises (@p48 @p100 @p98 @p16)) % 0.15/0.37 (step @p102 :rule trans :premises (@p101 @p7)) % 0.15/0.37 (step @p103 :rule cong :premises (@p102 @p86 @p97 @p96) :args (@t89)) % 0.15/0.37 (step @p104 :rule trans :premises (@p103 @p95)) % 0.15/0.37 (step @p105 :rule cong :premises (@p86 @p86 @p104 @p96) :args ((tptp.ifeq2 tptp.true tptp.true @t89 @t56))) % 0.15/0.37 (step @p106 :rule refl :args (@t89)) % 0.15/0.37 (step @p107 :rule symm :premises (@p24)) % 0.15/0.37 (step @p108 :rule refl :args (@t54)) % 0.15/0.37 (step @p109 :rule cong :premises (@p16 @p86 @p108 @p86) :args (@t81)) % 0.15/0.37 (step @p110 :rule trans :premises (@p47 @p109 @p107 @p16)) % 0.15/0.37 (step @p111 :rule trans :premises (@p110 @p7)) % 0.15/0.37 (step @p112 :rule cong :premises (@p111 @p86 @p106 @p96) :args (@t90)) % 0.15/0.37 (step @p113 :rule symm :premises (@p40)) % 0.15/0.37 (step @p114 :rule refl :args (@t49)) % 0.15/0.37 (step @p115 :rule refl :args (@t50)) % 0.15/0.37 (step @p116 :rule cong :premises (@p6 @p86 @p115 @p114) :args (@t68)) % 0.15/0.37 (step @p117 :rule trans :premises (@p116 @p113)) % 0.15/0.37 (step @p118 :rule cong :premises (@p86 @p86 @p117 @p114) :args ((tptp.ifeq2 tptp.true tptp.true @t68 @t49))) % 0.15/0.37 (step @p119 :rule refl :args (@t68)) % 0.15/0.37 (step @p120 :rule cong :premises (@p7 @p86 @p119 @p114) :args (@t69)) % 0.15/0.37 (step @p121 :rule trans :premises (@p30 @p120 @p118 @p113)) % 0.15/0.37 (step @p122 :rule cong :premises (@p121) :args ((tptp.j @t49))) % 0.15/0.37 (step @p123 :rule symm :premises (@p30)) % 0.15/0.37 (step @p124 :rule symm :premises (@p120)) % 0.15/0.37 (step @p125 :rule symm :premises (@p118)) % 0.15/0.37 (step @p126 :rule symm :premises (@p52)) % 0.15/0.37 (step @p127 :rule refl :args (@t85)) % 0.15/0.37 (step @p128 :rule symm :premises (@p102)) % 0.15/0.37 (step @p129 :rule cong :premises (@p128 @p86 @p127 @p115) :args ((tptp.ifeq2 tptp.true tptp.true @t85 @t50))) % 0.15/0.37 (step @p130 :rule refl :args (@t48)) % 0.15/0.37 (step @p131 :rule symm :premises (@p111)) % 0.15/0.37 (step @p132 :rule cong :premises (@p131 @p86 @p130 @p115) :args (@t93)) % 0.15/0.37 (step @p133 :rule symm :premises (@p39)) % 0.15/0.37 (step @p134 :rule refl :args (@t45)) % 0.15/0.37 (step @p135 :rule cong :premises (@p7 @p86 @p130 @p134) :args (@t65)) % 0.15/0.37 (step @p136 :rule trans :premises (@p135 @p133 @p59 @p132)) % 0.15/0.37 (step @p137 :rule trans :premises (@p135 @p133)) % 0.15/0.37 (step @p138 :rule symm :premises (@p137)) % 0.15/0.37 (step @p139 :rule trans :premises (@p138 @p136)) % 0.15/0.37 (step @p140 :rule cong :premises (@p111 @p86 @p139 @p115) :args (@t85)) % 0.15/0.37 (step @p141 :rule cong :premises (@p86 @p86 @p137 @p134) :args ((tptp.ifeq2 tptp.true tptp.true @t65 @t45))) % 0.15/0.37 (step @p142 :rule refl :args (@t65)) % 0.15/0.37 (step @p143 :rule cong :premises (@p6 @p86 @p142 @p134) :args (@t66)) % 0.15/0.37 (step @p144 :rule trans :premises (@p29 @p143 @p141 @p133 @p59 @p132 @p140 @p129 @p126 @p40 @p125 @p124 @p123)) % 0.15/0.37 (step @p145 :rule cong :premises (@p144) :args (@t58)) % 0.15/0.37 (step @p146 :rule symm :premises (@p60)) % 0.15/0.37 (step @p147 :rule refl :args (@t19)) % 0.15/0.37 (step @p148 :rule refl :args (@t58)) % 0.15/0.37 (step @p149 :rule symm :premises (@p20)) % 0.15/0.37 (step @p150 :rule refl :args (@t61)) % 0.15/0.37 (step @p151 :rule cong :premises (@p15 @p86 @p150 @p86) :args ((tptp.ifeq tptp.true tptp.true @t61 tptp.true))) % 0.15/0.37 (step @p152 :rule refl :args (@t53)) % 0.15/0.37 (step @p153 :rule cong :premises (@p16 @p86 @p152 @p86) :args (@t79)) % 0.15/0.37 (step @p154 :rule trans :premises (@p46 @p153)) % 0.15/0.37 (step @p155 :rule cong :premises (@p86 @p86 @p154 @p86) :args (@t79)) % 0.15/0.37 (step @p156 :rule trans :premises (@p46 @p155 @p151 @p149 @p16)) % 0.15/0.37 (step @p157 :rule trans :premises (@p156 @p7)) % 0.15/0.37 (step @p158 :rule cong :premises (@p157 @p86 @p148 @p147) :args (@t87)) % 0.15/0.37 (step @p159 :rule trans :premises (@p53 @p158 @p146 @p145 @p122 @p57 @p112 @p105 @p95 @p94)) % 0.15/0.37 (step-pop @p210 :rule scope :premises (@p159)) % 0.15/0.37 (step-pop @p211 :rule scope :premises (@p210)) % 0.15/0.37 (step-pop @p212 :rule scope :premises (@p211)) % 0.15/0.37 (step-pop @p213 :rule scope :premises (@p212)) % 0.15/0.37 (step-pop @p214 :rule scope :premises (@p213)) % 0.15/0.37 (step-pop @p215 :rule scope :premises (@p214)) % 0.15/0.37 (step-pop @p216 :rule scope :premises (@p215)) % 0.15/0.37 (step-pop @p217 :rule scope :premises (@p216)) % 0.15/0.37 (step-pop @p218 :rule scope :premises (@p217)) % 0.15/0.37 (step-pop @p219 :rule scope :premises (@p218)) % 0.15/0.37 (step-pop @p220 :rule scope :premises (@p219)) % 0.15/0.37 (step-pop @p221 :rule scope :premises (@p220)) % 0.15/0.37 (step-pop @p222 :rule scope :premises (@p221)) % 0.15/0.37 (step-pop @p223 :rule scope :premises (@p222)) % 0.15/0.37 (step-pop @p224 :rule scope :premises (@p223)) % 0.15/0.37 (step-pop @p225 :rule scope :premises (@p224)) % 0.15/0.37 (step-pop @p226 :rule scope :premises (@p225)) % 0.15/0.37 (step-pop @p227 :rule scope :premises (@p226)) % 0.15/0.37 (step-pop @p228 :rule scope :premises (@p227)) % 0.15/0.37 (step-pop @p229 :rule scope :premises (@p228)) % 0.15/0.37 (step-pop @p230 :rule scope :premises (@p229)) % 0.15/0.37 (step-pop @p231 :rule scope :premises (@p230)) % 0.15/0.37 (step @p160 :rule process_scope :premises (@p231) :args (@t20)) % 0.15/0.37 (step @p183 :rule implies_elim :premises (@p160)) % 0.15/0.37 (step @p184 :rule cnf_and_neg :args (@t96)) % 0.15/0.37 (step @p185 :rule resolution :premises (@p184 @p183) :args (true @t96)) % 0.15/0.37 (step @p186 :rule reordering :premises (@p185) :args ((or @t20 (not @t59) (not @t60) (not @t62) (not @t63) (not @t64) (not @t67) (not @t70) (not @t71) (not @t72) (not @t73) (not @t74) (not @t76) (not @t78) (not @t80) (not @t82) (not @t84) (not @t86) (not @t88) (not @t91) (not @t92) (not @t94) (not @t95)))) % 0.15/0.37 (step @p187 false :rule chain_m_resolution :premises (@p186 @p60 @p59 @p58 @p57 @p53 @p52 @p48 @p47 @p46 @p42 @p41 @p40 @p39 @p35 @p34 @p30 @p29 @p25 @p24 @p20 @p16 @p15 @p5) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false true) (@list @t95 @t94 @t92 @t91 @t88 @t86 @t84 @t82 @t80 @t78 @t76 @t74 @t73 @t72 @t71 @t70 @t67 @t64 @t63 @t62 @t60 @t59 @t20))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------