%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP114-1 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:19:47 AM UTC 2026 % Result : Unsatisfiable 18.52s 18.75s % Output : Proof 18.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP114-1 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 00:50:17 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/16.24 --- Run --no-e-matching --full-saturate-quant at 6... % 18.52/18.75 % SZS status Unsatisfiable % 18.52/18.75 % SZS output start Proof % 18.52/18.75 ( % 18.52/18.75 (declare-sort $$unsorted 0) % 18.52/18.75 (declare-const tptp.negative_part (-> $$unsorted $$unsorted)) % 18.52/18.75 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 18.52/18.75 (declare-const tptp.positive_part (-> $$unsorted $$unsorted)) % 18.52/18.75 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 18.52/18.75 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 18.52/18.75 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 18.52/18.75 (declare-const tptp.a $$unsorted) % 18.52/18.75 (declare-const tptp.identity $$unsorted) % 18.52/18.75 (define @t1 () (@var "X" $$unsorted)) % 18.52/18.75 (define @t2 () (tptp.multiply tptp.identity @t1)) % 18.52/18.75 (define @t3 () (@list @t1)) % 18.52/18.75 (define @t4 () (forall @t3 (= @t2 @t1))) % 18.52/18.75 (define @t5 () (tptp.inverse @t1)) % 18.52/18.75 (define @t6 () (tptp.multiply @t5 @t1)) % 18.52/18.75 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 18.52/18.75 (define @t8 () (@var "Z" $$unsorted)) % 18.52/18.75 (define @t9 () (@var "Y" $$unsorted)) % 18.52/18.75 (define @t10 () (tptp.multiply @t1 @t9)) % 18.52/18.75 (define @t11 () (@list @t1 @t9 @t8)) % 18.52/18.75 (define @t12 () (tptp.inverse @t5)) % 18.52/18.75 (define @t13 () (forall @t3 (= @t12 @t1))) % 18.52/18.75 (define @t14 () (@list @t1 @t9)) % 18.52/18.75 (define @t15 () (tptp.intersection @t1 @t1)) % 18.52/18.75 (define @t16 () (forall @t3 (= @t15 @t1))) % 18.52/18.75 (define @t17 () (tptp.union @t1 @t1)) % 18.52/18.75 (define @t18 () (forall @t3 (= @t17 @t1))) % 18.52/18.75 (define @t19 () (tptp.intersection @t1 @t9)) % 18.52/18.75 (define @t20 () (tptp.union @t1 @t9)) % 18.52/18.75 (define @t21 () (forall @t14 (= @t20 (tptp.union @t9 @t1)))) % 18.52/18.75 (define @t22 () (tptp.intersection @t9 @t8)) % 18.52/18.75 (define @t23 () (forall @t11 (= (tptp.intersection @t1 @t22) (tptp.intersection @t19 @t8)))) % 18.52/18.75 (define @t24 () (tptp.union @t9 @t8)) % 18.52/18.75 (define @t25 () (tptp.union @t19 @t9)) % 18.52/18.75 (define @t26 () (forall @t14 (= @t25 @t9))) % 18.52/18.75 (define @t27 () (tptp.intersection @t20 @t9)) % 18.52/18.75 (define @t28 () (forall @t14 (= @t27 @t9))) % 18.52/18.75 (define @t29 () (tptp.multiply @t1 @t8)) % 18.52/18.75 (define @t30 () (tptp.multiply @t8 @t1)) % 18.52/18.75 (define @t31 () (tptp.multiply @t9 @t1)) % 18.52/18.75 (define @t32 () (@list @t9 @t8 @t1)) % 18.52/18.75 (define @t33 () (tptp.negative_part tptp.a)) % 18.52/18.75 (define @t34 () (tptp.positive_part tptp.a)) % 18.52/18.75 (define @t35 () (tptp.multiply @t34 @t33)) % 18.52/18.75 (define @t36 () (@list tptp.a @t35)) % 18.52/18.75 (define @t37 () (@list tptp.a)) % 18.52/18.75 (define @t38 () (tptp.union tptp.a tptp.a)) % 18.52/18.75 (define @t39 () (@list tptp.a tptp.identity @t33)) % 18.52/18.75 (define @t40 () (tptp.multiply tptp.identity @t33)) % 18.52/18.75 (define @t41 () (tptp.multiply tptp.a @t33)) % 18.52/18.75 (define @t42 () (tptp.inverse tptp.a)) % 18.52/18.75 (define @t43 () (tptp.inverse @t42)) % 18.52/18.75 (define @t44 () (tptp.multiply tptp.a tptp.identity)) % 18.52/18.75 (define @t45 () (tptp.union tptp.identity @t33)) % 18.52/18.75 (define @t46 () (tptp.union @t33 tptp.identity)) % 18.52/18.75 (define @t47 () (= @t45 @t46)) % 18.52/18.75 (define @t48 () (tptp.intersection tptp.a tptp.identity)) % 18.52/18.75 (define @t49 () (@list tptp.identity tptp.a)) % 18.52/18.75 (define @t50 () (tptp.multiply @t33 tptp.identity)) % 18.52/18.75 (define @t51 () (@list tptp.a tptp.a tptp.identity)) % 18.52/18.75 (define @t52 () (tptp.multiply tptp.a tptp.a)) % 18.52/18.75 (define @t53 () (tptp.multiply @t33 tptp.a)) % 18.52/18.75 (define @t54 () (tptp.union tptp.identity tptp.a)) % 18.52/18.75 (define @t55 () (tptp.union @t52 tptp.a)) % 18.52/18.75 (define @t56 () (tptp.intersection @t55 @t54)) % 18.52/18.75 (define @t57 () (tptp.intersection @t56 tptp.a)) % 18.52/18.75 (define @t58 () (tptp.intersection @t55 (tptp.intersection @t54 tptp.a))) % 18.52/18.75 (define @t59 () (= @t58 @t57)) % 18.52/18.75 (assume @p1 @t4) % 18.52/18.75 (assume @p2 @t7) % 18.52/18.75 (assume @p3 (forall @t11 (= (tptp.multiply @t10 @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 18.52/18.75 (assume @p4 (= (tptp.inverse tptp.identity) tptp.identity)) % 18.52/18.75 (assume @p5 @t13) % 18.52/18.75 (assume @p6 (forall @t14 (= (tptp.inverse @t10) (tptp.multiply (tptp.inverse @t9) @t5)))) % 18.52/18.75 (assume @p7 @t16) % 18.52/18.75 (assume @p8 @t18) % 18.52/18.75 (assume @p9 (forall @t14 (= @t19 (tptp.intersection @t9 @t1)))) % 18.52/18.75 (assume @p10 @t21) % 18.52/18.75 (assume @p11 @t23) % 18.52/18.75 (assume @p12 (forall @t11 (= (tptp.union @t1 @t24) (tptp.union @t20 @t8)))) % 18.52/18.75 (assume @p13 @t26) % 18.52/18.75 (assume @p14 @t28) % 18.52/18.75 (assume @p15 (forall @t11 (= (tptp.multiply @t1 @t24) (tptp.union @t10 @t29)))) % 18.52/18.75 (assume @p16 (forall @t11 (= (tptp.multiply @t1 @t22) (tptp.intersection @t10 @t29)))) % 18.52/18.75 (assume @p17 (forall @t32 (= (tptp.multiply @t24 @t1) (tptp.union @t31 @t30)))) % 18.52/18.75 (assume @p18 (forall @t32 (= (tptp.multiply @t22 @t1) (tptp.intersection @t31 @t30)))) % 18.52/18.75 (assume @p19 (forall @t3 (= (tptp.positive_part @t1) (tptp.union @t1 tptp.identity)))) % 18.52/18.75 (assume @p20 (forall @t3 (= (tptp.negative_part @t1) (tptp.intersection @t1 tptp.identity)))) % 18.52/18.75 (assume @p21 (not (= @t35 tptp.a))) % 18.52/18.75 (step @p22 :rule symm :premises (@p21)) % 18.52/18.75 (step @p23 :rule false_intro :premises (@p22)) % 18.52/18.75 (step @p24 :rule eq-symm :args (@t27 @t9)) % 18.52/18.75 (step @p25 :rule cong :premises (@p24) :args (@t28)) % 18.52/18.75 (step @p26 :rule eq_resolve :premises (@p14 @p25)) % 18.52/18.75 (step @p27 :rule instantiate :premises (@p26) :args (@t36)) % 18.52/18.75 (step @p28 :rule symm :premises (@p27)) % 18.52/18.75 (step @p29 :rule refl :args (@t35)) % 18.52/18.75 (step @p30 :rule eq-symm :args (@t17 @t1)) % 18.52/18.75 (step @p31 :rule cong :premises (@p30) :args (@t18)) % 18.52/18.75 (step @p32 :rule eq_resolve :premises (@p8 @p31)) % 18.52/18.75 (step @p33 :rule instantiate :premises (@p32) :args (@t37)) % 18.52/18.75 (step @p34 :rule symm :premises (@p33)) % 18.52/18.75 (step @p35 :rule cong :premises (@p34 @p29) :args ((tptp.union @t38 @t35))) % 18.52/18.75 (step @p36 :rule refl :args (@t33)) % 18.52/18.75 (step @p37 :rule instantiate :premises (@p19) :args (@t37)) % 18.52/18.75 (step @p38 :rule symm :premises (@p37)) % 18.52/18.75 (step @p39 :rule cong :premises (@p38 @p36) :args ((tptp.multiply (tptp.union tptp.a tptp.identity) @t33))) % 18.52/18.75 (step @p40 :rule instantiate :premises (@p17) :args (@t39)) % 18.52/18.75 (step @p41 :rule symm :premises (@p40)) % 18.52/18.75 (step @p42 :rule trans :premises (@p41 @p39)) % 18.52/18.75 (step @p43 :rule refl :args (@t38)) % 18.52/18.75 (step @p44 :rule cong :premises (@p43 @p42) :args ((tptp.union @t38 (tptp.union @t41 @t40)))) % 18.52/18.75 (step @p45 :rule instantiate :premises (@p12) :args ((@list @t38 @t41 @t40))) % 18.52/18.75 (step @p46 :rule symm :premises (@p45)) % 18.52/18.75 (step @p47 :rule eq-symm :args (@t2 @t1)) % 18.52/18.75 (step @p48 :rule cong :premises (@p47) :args (@t4)) % 18.52/18.75 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 18.52/18.75 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t33))) % 18.52/18.75 (step @p51 :rule refl :args (@t41)) % 18.52/18.75 (step @p52 :rule instantiate :premises (@p49) :args (@t37)) % 18.52/18.75 (step @p53 :rule symm :premises (@p52)) % 18.52/18.75 (step @p54 :rule refl :args (tptp.a)) % 18.52/18.75 (step @p55 :rule eq-symm :args (@t6 tptp.identity)) % 18.52/18.75 (step @p56 :rule cong :premises (@p55) :args (@t7)) % 18.52/18.75 (step @p57 :rule eq_resolve :premises (@p2 @p56)) % 18.52/18.75 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t42))) % 18.52/18.75 (step @p59 :rule symm :premises (@p58)) % 18.52/18.75 (step @p60 :rule cong :premises (@p59 @p54) :args ((tptp.multiply (tptp.multiply @t43 @t42) tptp.a))) % 18.52/18.75 (step @p61 :rule instantiate :premises (@p3) :args ((@list @t43 @t42 tptp.a))) % 18.52/18.75 (step @p62 :rule symm :premises (@p61)) % 18.52/18.75 (step @p63 :rule instantiate :premises (@p57) :args (@t37)) % 18.52/18.75 (step @p64 :rule eq-symm :args (@t12 @t1)) % 18.52/18.75 (step @p65 :rule cong :premises (@p64) :args (@t13)) % 18.52/18.75 (step @p66 :rule eq_resolve :premises (@p5 @p65)) % 18.52/18.75 (step @p67 :rule instantiate :premises (@p66) :args (@t37)) % 18.52/18.75 (step @p68 :rule cong :premises (@p67 @p63) :args (@t44)) % 18.52/18.75 (step @p69 :rule trans :premises (@p68 @p62 @p60 @p53)) % 18.52/18.75 (step @p70 :rule trans :premises (@p69 @p33)) % 18.52/18.75 (step @p71 :rule cong :premises (@p70 @p51) :args ((tptp.union @t44 @t41))) % 18.52/18.75 (step @p72 :rule instantiate :premises (@p15) :args (@t39)) % 18.52/18.75 (step @p73 :rule eq-symm :args (@t45 @t46)) % 18.52/18.75 (step @p74 :rule refl :args (@t21)) % 18.52/18.75 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t21 @t47))) % 18.52/18.75 (assume-push @p164 @t21) % 18.52/18.75 (step @p77 :rule instantiate :premises (@p10) :args ((@list tptp.identity @t33))) % 18.52/18.75 (step-pop @p165 :rule scope :premises (@p77)) % 18.52/18.75 (step @p78 :rule process_scope :premises (@p165) :args (@t47)) % 18.52/18.75 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 18.52/18.75 (step @p81 :rule implies_elim :premises (@p80)) % 18.52/18.75 (step @p82 :rule chain_m_resolution :premises (@p81 @p10) :args ((= @t46 @t45) (@list false) (@list @t21))) % 18.52/18.75 (step @p83 :rule refl :args (tptp.identity)) % 18.52/18.75 (step @p84 :rule instantiate :premises (@p20) :args (@t37)) % 18.52/18.75 (step @p85 :rule symm :premises (@p84)) % 18.52/18.75 (step @p86 :rule cong :premises (@p85 @p83) :args ((tptp.union @t48 tptp.identity))) % 18.52/18.75 (step @p87 :rule eq-symm :args (@t25 @t9)) % 18.52/18.75 (step @p88 :rule cong :premises (@p87) :args (@t26)) % 18.52/18.75 (step @p89 :rule eq_resolve :premises (@p13 @p88)) % 18.52/18.75 (step @p90 :rule instantiate :premises (@p89) :args ((@list tptp.a tptp.identity))) % 18.52/18.75 (step @p91 :rule trans :premises (@p90 @p86 @p82)) % 18.52/18.75 (step @p92 :rule cong :premises (@p54 @p91) :args (@t44)) % 18.52/18.75 (step @p93 :rule symm :premises (@p68)) % 18.52/18.75 (step @p94 :rule symm :premises (@p60)) % 18.52/18.75 (step @p95 :rule trans :premises (@p52 @p94 @p61 @p93 @p92 @p72 @p71)) % 18.52/18.75 (step @p96 :rule cong :premises (@p95 @p50) :args ((tptp.union tptp.a @t33))) % 18.52/18.75 (step @p97 :rule instantiate :premises (@p10) :args ((@list tptp.a @t33))) % 18.52/18.75 (step @p98 :rule symm :premises (@p97)) % 18.52/18.75 (step @p99 :rule instantiate :premises (@p9) :args (@t49)) % 18.52/18.75 (step @p100 :rule trans :premises (@p99 @p85)) % 18.52/18.75 (step @p101 :rule cong :premises (@p100 @p54) :args ((tptp.union (tptp.intersection tptp.identity tptp.a) tptp.a))) % 18.52/18.75 (step @p102 :rule instantiate :premises (@p89) :args (@t49)) % 18.52/18.75 (step @p103 :rule trans :premises (@p102 @p101 @p98 @p96 @p46 @p44 @p35)) % 18.52/18.75 (step @p104 :rule eq-symm :args (@t15 @t1)) % 18.52/18.75 (step @p105 :rule cong :premises (@p104) :args (@t16)) % 18.52/18.75 (step @p106 :rule eq_resolve :premises (@p7 @p105)) % 18.52/18.75 (step @p107 :rule instantiate :premises (@p106) :args (@t37)) % 18.52/18.75 (step @p108 :rule symm :premises (@p107)) % 18.52/18.75 (step @p109 :rule trans :premises (@p108 @p103)) % 18.52/18.75 (step @p110 :rule cong :premises (@p109 @p29) :args ((tptp.intersection (tptp.intersection tptp.a tptp.a) @t35))) % 18.52/18.75 (step @p111 :rule cong :premises (@p107 @p29) :args ((tptp.intersection tptp.a @t35))) % 18.52/18.75 (step @p112 :rule instantiate :premises (@p9) :args (@t36)) % 18.52/18.75 (step @p113 :rule symm :premises (@p112)) % 18.52/18.75 (step @p114 :rule instantiate :premises (@p49) :args ((@list tptp.identity))) % 18.52/18.75 (step @p115 :rule symm :premises (@p114)) % 18.52/18.75 (step @p116 :rule cong :premises (@p69 @p115) :args ((tptp.intersection @t44 (tptp.multiply tptp.identity tptp.identity)))) % 18.52/18.75 (step @p117 :rule instantiate :premises (@p18) :args ((@list tptp.a tptp.identity tptp.identity))) % 18.52/18.75 (step @p118 :rule cong :premises (@p84 @p83) :args (@t50)) % 18.52/18.75 (step @p119 :rule trans :premises (@p118 @p117 @p116 @p85 @p50)) % 18.52/18.75 (step @p120 :rule cong :premises (@p54 @p85) :args ((tptp.multiply tptp.a @t48))) % 18.52/18.75 (step @p121 :rule instantiate :premises (@p16) :args (@t51)) % 18.52/18.75 (step @p122 :rule symm :premises (@p121)) % 18.52/18.75 (step @p123 :rule trans :premises (@p94 @p61 @p93)) % 18.52/18.75 (step @p124 :rule refl :args (@t52)) % 18.52/18.75 (step @p125 :rule cong :premises (@p124 @p123) :args ((tptp.intersection @t52 (tptp.multiply tptp.identity tptp.a)))) % 18.52/18.75 (step @p126 :rule instantiate :premises (@p18) :args ((@list tptp.a tptp.identity tptp.a))) % 18.52/18.75 (step @p127 :rule cong :premises (@p84 @p54) :args (@t53)) % 18.52/18.75 (step @p128 :rule trans :premises (@p127 @p126 @p125 @p122 @p120)) % 18.52/18.75 (step @p129 :rule cong :premises (@p128 @p119) :args ((tptp.union @t53 @t50))) % 18.52/18.75 (step @p130 :rule instantiate :premises (@p15) :args ((@list @t33 tptp.a tptp.identity))) % 18.52/18.75 (step @p131 :rule cong :premises (@p36 @p37) :args ((tptp.multiply @t33 @t34))) % 18.52/18.75 (step @p132 :rule refl :args (@t34)) % 18.52/18.75 (step @p133 :rule cong :premises (@p85 @p132) :args ((tptp.multiply @t48 @t34))) % 18.52/18.75 (step @p134 :rule instantiate :premises (@p18) :args ((@list tptp.a tptp.identity @t34))) % 18.52/18.75 (step @p135 :rule symm :premises (@p134)) % 18.52/18.75 (step @p136 :rule instantiate :premises (@p49) :args ((@list @t34))) % 18.52/18.75 (step @p137 :rule instantiate :premises (@p10) :args (@t49)) % 18.52/18.75 (step @p138 :rule trans :premises (@p137 @p38 @p136)) % 18.52/18.75 (step @p139 :rule cong :premises (@p124 @p69) :args ((tptp.union @t52 @t44))) % 18.52/18.75 (step @p140 :rule instantiate :premises (@p15) :args (@t51)) % 18.52/18.75 (step @p141 :rule cong :premises (@p54 @p37) :args ((tptp.multiply tptp.a @t34))) % 18.52/18.75 (step @p142 :rule trans :premises (@p141 @p140 @p139)) % 18.52/18.75 (step @p143 :rule symm :premises (@p142)) % 18.52/18.75 (step @p144 :rule cong :premises (@p143 @p138) :args (@t56)) % 18.52/18.75 (step @p145 :rule trans :premises (@p144 @p135 @p133 @p131 @p130 @p129 @p41 @p39)) % 18.52/18.75 (step @p146 :rule cong :premises (@p145 @p54) :args (@t57)) % 18.52/18.75 (step @p147 :rule trans :premises (@p146 @p113 @p111 @p110 @p28)) % 18.52/18.75 (step @p148 :rule instantiate :premises (@p26) :args ((@list @t52 tptp.a))) % 18.52/18.75 (step @p149 :rule symm :premises (@p148)) % 18.52/18.75 (step @p150 :rule instantiate :premises (@p26) :args (@t49)) % 18.52/18.75 (step @p151 :rule symm :premises (@p150)) % 18.52/18.75 (step @p152 :rule refl :args (@t55)) % 18.52/18.75 (step @p153 :rule cong :premises (@p152 @p151) :args (@t58)) % 18.52/18.75 (step @p154 :rule trans :premises (@p153 @p149)) % 18.52/18.75 (step @p155 :rule cong :premises (@p154 @p147) :args (@t59)) % 18.52/18.75 (step @p156 :rule trans :premises (@p155 @p23)) % 18.52/18.75 (step @p157 :rule false_elim :premises (@p156)) % 18.52/18.75 (assume-push @p166 @t23) % 18.52/18.75 (step @p159 :rule instantiate :premises (@p11) :args ((@list @t55 @t54 tptp.a))) % 18.52/18.75 (step-pop @p167 :rule scope :premises (@p159)) % 18.52/18.75 (step @p160 :rule process_scope :premises (@p167) :args (@t59)) % 18.52/18.75 (step @p162 :rule implies_elim :premises (@p160)) % 18.52/18.75 (step @p163 false :rule chain_m_resolution :premises (@p162 @p157 @p11) :args (false (@list true false) (@list @t59 @t23))) % 18.52/18.75 ) % 18.52/18.76 % SZS output end Proof % 18.52/18.76 % cvc5 exiting %------------------------------------------------------------------------------