%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO112+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:16:23 AM UTC 2026 % Result : Theorem 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 : GEO112+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:24:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.open (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "P" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.incident_c @t2 @t1)) % 0.38/0.56 (define @t4 () (@var "C1" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.incident_c @t2 @t4)) % 0.38/0.56 (define @t6 () (@list @t2)) % 0.38/0.56 (define @t7 () (tptp.part_of @t4 @t1)) % 0.38/0.56 (define @t8 () (@list @t1 @t4)) % 0.38/0.56 (define @t9 () (@var "C2" $$unsorted)) % 0.38/0.56 (define @t10 () (@var "Q" $$unsorted)) % 0.38/0.56 (define @t11 () (tptp.incident_c @t10 @t4)) % 0.38/0.56 (define @t12 () (tptp.incident_c @t10 @t1)) % 0.38/0.56 (define @t13 () (@list @t10)) % 0.38/0.56 (define @t14 () (= @t1 (tptp.sum @t4 @t9))) % 0.38/0.56 (define @t15 () (tptp.part_of @t9 @t4)) % 0.38/0.56 (define @t16 () (tptp.part_of @t4 @t9)) % 0.38/0.56 (define @t17 () (tptp.part_of @t9 @t1)) % 0.38/0.56 (define @t18 () (@list @t4 @t9)) % 0.38/0.56 (define @t19 () (tptp.end_point @t2 @t1)) % 0.38/0.56 (define @t20 () (@list @t2 @t1)) % 0.38/0.56 (define @t21 () (tptp.inner_point @t2 @t1)) % 0.38/0.56 (define @t22 () (tptp.end_point @t10 @t4)) % 0.38/0.56 (define @t23 () (tptp.end_point @t10 @t1)) % 0.38/0.56 (define @t24 () (exists @t6 @t19)) % 0.38/0.56 (define @t25 () (tptp.closed @t1)) % 0.38/0.56 (define @t26 () (@list @t1)) % 0.38/0.56 (define @t27 () (@var "C3" $$unsorted)) % 0.38/0.56 (define @t28 () (tptp.meet @t2 @t4 @t9)) % 0.38/0.56 (define @t29 () (@list @t1 @t2)) % 0.38/0.56 (define @t30 () (@var "R" $$unsorted)) % 0.38/0.56 (define @t31 () (= @t2 @t30)) % 0.38/0.56 (define @t32 () (= @t2 @t10)) % 0.38/0.56 (define @t33 () (@list @t1 @t2 @t10 @t30)) % 0.38/0.56 (define @t34 () (@var "Cpp" $$unsorted)) % 0.38/0.56 (define @t35 () (tptp.inner_point @t10 @t34)) % 0.38/0.56 (define @t36 () (tptp.end_point @t30 @t34)) % 0.38/0.56 (define @t37 () (tptp.end_point @t2 @t34)) % 0.38/0.56 (define @t38 () (tptp.part_of @t34 @t1)) % 0.38/0.56 (define @t39 () (and @t38 @t37 @t36 @t35)) % 0.38/0.56 (define @t40 () (@list @t34)) % 0.38/0.56 (define @t41 () (exists @t40 @t39)) % 0.38/0.56 (define @t42 () (not @t31)) % 0.38/0.56 (define @t43 () (and @t42 @t41)) % 0.38/0.56 (define @t44 () (tptp.between_c @t1 @t2 @t10 @t30)) % 0.38/0.56 (define @t45 () (= @t44 @t43)) % 0.38/0.56 (define @t46 () (forall @t33 @t45)) % 0.38/0.56 (define @t47 () (tptp.between_c @t1 @t30 @t10 @t2)) % 0.38/0.56 (define @t48 () (forall @t33 (=> @t44 @t47))) % 0.38/0.56 (define @t49 () (not @t48)) % 0.38/0.56 (define @t50 () (not @t35)) % 0.38/0.56 (define @t51 () (not @t36)) % 0.38/0.56 (define @t52 () (not @t37)) % 0.38/0.56 (define @t53 () (not @t38)) % 0.38/0.56 (define @t54 () (or @t53 @t52 @t51 @t50)) % 0.38/0.56 (define @t55 () (forall @t40 (not @t39))) % 0.38/0.56 (define @t56 () (not @t55)) % 0.38/0.56 (define @t57 () (forall @t33 (or (not @t44) @t47))) % 0.38/0.56 (define @t58 () (@quantifiers_skolemize @t57 3)) % 0.38/0.56 (define @t59 () (@quantifiers_skolemize @t57 2)) % 0.38/0.56 (define @t60 () (@quantifiers_skolemize @t57 1)) % 0.38/0.56 (define @t61 () (@quantifiers_skolemize @t57 0)) % 0.38/0.56 (define @t62 () (tptp.between_c @t61 @t60 @t59 @t58)) % 0.38/0.56 (define @t63 () (tptp.between_c @t61 @t58 @t59 @t60)) % 0.38/0.56 (define @t64 () (not @t62)) % 0.38/0.56 (define @t65 () (or @t64 @t63)) % 0.38/0.56 (define @t66 () (@list true)) % 0.38/0.56 (define @t67 () (@list @t65)) % 0.38/0.56 (define @t68 () (not (tptp.inner_point @t59 @t34))) % 0.38/0.56 (define @t69 () (not (tptp.end_point @t58 @t34))) % 0.38/0.56 (define @t70 () (not (tptp.end_point @t60 @t34))) % 0.38/0.56 (define @t71 () (not (tptp.part_of @t34 @t61))) % 0.38/0.56 (define @t72 () (or @t71 @t70 @t69 @t68)) % 0.38/0.56 (define @t73 () (forall @t40 @t72)) % 0.38/0.56 (define @t74 () (not @t73)) % 0.38/0.56 (define @t75 () (= @t60 @t58)) % 0.38/0.56 (define @t76 () (not @t75)) % 0.38/0.56 (define @t77 () (and @t76 @t74)) % 0.38/0.56 (define @t78 () (= @t62 @t77)) % 0.38/0.56 (define @t79 () (not @t77)) % 0.38/0.56 (define @t80 () (@list false)) % 0.38/0.56 (define @t81 () (@list @t77)) % 0.38/0.56 (define @t82 () (or @t71 @t69 @t70 @t68)) % 0.38/0.56 (define @t83 () (forall @t40 @t82)) % 0.38/0.56 (define @t84 () (not @t83)) % 0.38/0.56 (define @t85 () (not (= @t58 @t60))) % 0.38/0.56 (define @t86 () (and @t85 @t84)) % 0.38/0.56 (define @t87 () (= @t63 @t86)) % 0.38/0.56 (define @t88 () (forall @t33 (= @t44 (and @t42 (not (forall @t40 @t54)))))) % 0.38/0.56 (define @t89 () (and @t76 @t84)) % 0.38/0.56 (define @t90 () (= @t63 @t89)) % 0.38/0.56 (define @t91 () (not @t89)) % 0.38/0.56 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.38/0.56 (assume @p2 (forall (@list @t1 @t4 @t9) (= @t14 (forall @t13 (= @t12 (or @t11 (tptp.incident_c @t10 @t9))))))) % 0.38/0.56 (assume @p3 (forall @t20 (= @t19 (and @t3 (forall @t18 (=> (and @t7 @t17 @t5 (tptp.incident_c @t2 @t9)) (or @t16 @t15))))))) % 0.38/0.56 (assume @p4 (forall @t20 (= @t21 (and @t3 (not @t19))))) % 0.38/0.56 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t13 (=> (and @t12 @t11) (and @t23 @t22))))))) % 0.38/0.56 (assume @p6 (forall @t26 (= @t25 (not @t24)))) % 0.38/0.56 (assume @p7 (forall @t26 (= (tptp.open @t1) @t24))) % 0.38/0.56 (assume @p8 (forall @t8 (=> (and @t7 (not (= @t4 @t1))) (tptp.open @t4)))) % 0.38/0.56 (assume @p9 (forall (@list @t1 @t4 @t9 @t27) (=> (and @t7 @t17 (tptp.part_of @t27 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t9) (tptp.end_point @t2 @t27)))) (or (tptp.part_of @t9 @t27) (tptp.part_of @t27 @t9) @t16 @t15 (tptp.part_of @t4 @t27) (tptp.part_of @t27 @t4))))) % 0.38/0.56 (assume @p10 (forall @t26 (exists @t6 @t21))) % 0.38/0.56 (assume @p11 (forall @t29 (=> @t21 (exists @t18 (and @t28 @t14))))) % 0.38/0.56 (assume @p12 (forall @t33 (=> (and @t19 @t23 (tptp.end_point @t30 @t1)) (or @t32 @t31 (= @t10 @t30))))) % 0.38/0.56 (assume @p13 (forall @t29 (=> @t19 (exists @t13 (and @t23 (not @t32)))))) % 0.38/0.56 (assume @p14 (forall (@list @t1 @t4 @t9 @t2) (=> (and @t25 @t28 @t14) (forall @t13 (=> @t22 (tptp.meet @t10 @t4 @t9)))))) % 0.38/0.56 (assume @p15 (forall @t18 (=> (exists @t6 @t28) (exists @t26 @t14)))) % 0.38/0.56 (assume @p16 (forall @t8 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 0.38/0.56 (assume @p17 @t46) % 0.38/0.56 (assume @p18 @t49) % 0.38/0.56 (assume @p19 true) % 0.38/0.56 (step @p20 :rule aci_norm :args ((= (or @t53 (or @t52 (or @t51 @t50))) @t54))) % 0.38/0.56 (step @p21 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 0.38/0.56 (step @p22 :rule refl :args (@t52)) % 0.38/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t52 (not (and @t36 @t35))))) % 0.38/0.56 (step @p24 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35))) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.56 (step @p26 :rule refl :args (@t53)) % 0.38/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t53 (not (and @t37 @t36 @t35))))) % 0.38/0.56 (step @p28 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36 @t35))) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p20)) % 0.38/0.56 (step @p31 :rule cong :premises (@p30) :args (@t55)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31) :args (@t56)) % 0.38/0.56 (step @p33 :rule exists-elim :args ((= @t41 @t56))) % 0.38/0.56 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.56 (step @p35 :rule refl :args (@t42)) % 0.38/0.56 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t43)) % 0.38/0.56 (step @p37 :rule refl :args (@t44)) % 0.38/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args (@t45)) % 0.38/0.56 (step @p39 :rule cong :premises (@p38) :args (@t46)) % 0.38/0.56 (step @p40 :rule eq_resolve :premises (@p17 @p39)) % 0.38/0.56 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t61 @t60 @t59 @t58))) % 0.38/0.56 (step @p42 :rule bool-impl-elim :args (@t44 @t47)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42) :args (@t48)) % 0.38/0.56 (step @p44 :rule cong :premises (@p43) :args (@t49)) % 0.38/0.56 (step @p45 :rule eq_resolve :premises (@p18 @p44)) % 0.38/0.56 (step @p46 :rule skolemize :premises (@p45)) % 0.38/0.56 (step @p47 :rule bool-double-not-elim :args (@t62)) % 0.38/0.56 (step @p48 :rule refl :args (@t65)) % 0.38/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t65 (not @t64)))) % 0.38/0.56 (step @p50 :rule cnf_or_neg :args (@t65 0)) % 0.38/0.56 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.38/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t62 @t65))) % 0.38/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p46) :args (@t62 @t66 @t67)) % 0.38/0.56 (step @p54 :rule cnf_equiv_pos1 :args (@t78)) % 0.38/0.56 (step @p55 :rule reordering :premises (@p54) :args ((or @t64 @t77 (not @t78)))) % 0.38/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p41) :args (@t77 (@list false false) (@list @t62 @t78))) % 0.38/0.56 (step @p57 :rule cnf_and_pos :args (@t77 1)) % 0.38/0.56 (step @p58 :rule reordering :premises (@p57) :args ((or @t74 @t79))) % 0.38/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p56) :args (@t74 @t80 @t81)) % 0.38/0.56 (step @p60 :rule refl :args (@t84)) % 0.38/0.56 (step @p61 :rule eq-symm :args (@t58 @t60)) % 0.38/0.56 (step @p62 :rule cong :premises (@p61) :args (@t85)) % 0.38/0.56 (step @p63 :rule nary_cong :premises (@p62 @p60) :args (@t86)) % 0.38/0.56 (step @p64 :rule refl :args (@t63)) % 0.38/0.56 (step @p65 :rule cong :premises (@p64 @p63) :args (@t87)) % 0.38/0.56 (step @p66 :rule refl :args (@t88)) % 0.38/0.56 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t88 @t87))) % 0.38/0.56 (assume-push @p99 @t88) % 0.38/0.56 (step @p69 :rule instantiate :premises (@p40) :args ((@list @t61 @t58 @t59 @t60))) % 0.38/0.56 (step-pop @p100 :rule scope :premises (@p69)) % 0.38/0.56 (step @p70 :rule process_scope :premises (@p100) :args (@t87)) % 0.38/0.56 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.38/0.56 (step @p73 :rule implies_elim :premises (@p72)) % 0.38/0.56 (step @p74 :rule chain_m_resolution :premises (@p73 @p40) :args (@t90 @t80 (@list @t88))) % 0.38/0.56 (step @p75 :rule cnf_or_neg :args (@t65 1)) % 0.38/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p46) :args ((not @t63) @t66 @t67)) % 0.38/0.56 (step @p77 :rule cnf_equiv_pos2 :args (@t90)) % 0.38/0.56 (step @p78 :rule reordering :premises (@p77) :args ((or @t63 @t91 (not @t90)))) % 0.38/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p74) :args (@t91 (@list true false) (@list @t63 @t90))) % 0.38/0.56 (step @p80 :rule cnf_and_pos :args (@t77 0)) % 0.38/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t76 @t79))) % 0.38/0.56 (step @p82 :rule chain_m_resolution :premises (@p81 @p56) :args (@t76 @t80 @t81)) % 0.38/0.56 (step @p83 :rule bool-double-not-elim :args (@t83)) % 0.38/0.56 (step @p84 :rule bool-double-not-elim :args (@t75)) % 0.38/0.56 (step @p85 :rule refl :args (@t89)) % 0.38/0.56 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args ((or @t89 (not @t76) (not @t84)))) % 0.38/0.56 (step @p87 :rule cnf_and_neg :args (@t89)) % 0.38/0.56 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.38/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t75 @t83 @t89))) % 0.38/0.56 (step @p90 :rule chain_m_resolution :premises (@p89 @p82 @p79) :args (@t83 (@list true true) (@list @t75 @t89))) % 0.38/0.56 (step @p91 :rule aci_norm :args ((= @t82 @t72))) % 0.38/0.56 (step @p92 :rule cong :premises (@p91) :args (@t83)) % 0.38/0.56 (step @p93 :rule true_intro :premises (@p92)) % 0.38/0.56 (step @p94 :rule eq-symm :args (@t73 @t83)) % 0.38/0.56 (step @p95 :rule trans :premises (@p94 @p93)) % 0.38/0.56 (step @p96 :rule true_elim :premises (@p95)) % 0.38/0.56 (step @p97 :rule equiv_elim2 :premises (@p96)) % 0.38/0.56 (step @p98 false :rule chain_m_resolution :premises (@p97 @p90 @p59) :args (false (@list false true) (@list @t83 @t73))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------