%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : REL042-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:04:07 PM UTC 2026
% Result : Unsatisfiable 4.97s 1.32s
% Output : CNFRefutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of clauses : 91 ( 91 unt; 0 nHn; 14 RR)
% Number of literals : 91 ( 90 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 132 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(composition_identity_6,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(def_zero_13,axiom,
zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(def_top_12,axiom,
top = join(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(composition_distributivity_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(goals_14,negated_conjecture,
meet(composition(sk1,X1),composition(sk1,complement(X1))) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
cnf(goals_15,negated_conjecture,
join(composition(converse(sk1),sk1),one) != one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
cnf(c_0_14,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_15,axiom,
composition(X1,one) = X1,
composition_identity_6 ).
cnf(c_0_16,plain,
composition(converse(one),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_18,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_20,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_21,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_22,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_23,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_24,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_26,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_28,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21]),c_0_25]) ).
cnf(c_0_29,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_31,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_32,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_34,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_28]),c_0_27]),c_0_29]),c_0_20]) ).
cnf(c_0_36,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_38,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_37]) ).
cnf(c_0_39,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_40,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_20]) ).
cnf(c_0_41,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_39,c_0_20]) ).
cnf(c_0_42,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_43,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_44,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
composition(converse(X1),join(converse(X2),converse(X3))) = join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_42]),c_0_43]),c_0_14]),c_0_14]),c_0_43]) ).
cnf(c_0_46,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_44,c_0_37]) ).
cnf(c_0_47,plain,
composition(converse(X1),join(one,converse(X2))) = join(converse(X1),composition(converse(X1),converse(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_21]),c_0_15]),c_0_20]),c_0_20]) ).
cnf(c_0_48,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_39,c_0_27]) ).
cnf(c_0_49,plain,
join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_33]),c_0_37]),c_0_20]),c_0_31]),c_0_46]) ).
cnf(c_0_50,negated_conjecture,
meet(composition(sk1,X1),composition(sk1,complement(X1))) = zero,
goals_14 ).
cnf(c_0_51,plain,
composition(X1,join(one,converse(X2))) = join(X1,composition(X1,converse(X2))),
inference(spm,[status(thm)],[c_0_47,c_0_17]) ).
cnf(c_0_52,plain,
join(composition(X1,X2),composition(complement(X1),X2)) = composition(top,X2),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_53,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_20,c_0_48]) ).
cnf(c_0_54,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_37]) ).
cnf(c_0_55,negated_conjecture,
complement(join(complement(composition(sk1,X1)),complement(composition(sk1,complement(X1))))) = zero,
inference(rw,[status(thm)],[c_0_50,c_0_23]) ).
cnf(c_0_56,plain,
composition(X1,join(one,X2)) = join(X1,composition(X1,X2)),
inference(spm,[status(thm)],[c_0_51,c_0_17]) ).
cnf(c_0_57,plain,
join(X1,composition(complement(one),X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_52,c_0_25]) ).
cnf(c_0_58,plain,
join(converse(zero),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_43,c_0_36]) ).
cnf(c_0_59,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_53]) ).
cnf(c_0_60,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_54]),c_0_39]) ).
cnf(c_0_61,negated_conjecture,
complement(join(complement(sk1),complement(composition(sk1,complement(one))))) = zero,
inference(spm,[status(thm)],[c_0_55,c_0_15]) ).
cnf(c_0_62,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_36]) ).
cnf(c_0_63,plain,
join(X1,composition(X1,complement(one))) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_15]),c_0_15]) ).
cnf(c_0_64,plain,
join(converse(zero),X1) = X1,
inference(spm,[status(thm)],[c_0_58,c_0_17]) ).
cnf(c_0_65,plain,
join(composition(X1,X2),composition(top,X2)) = composition(top,X2),
inference(spm,[status(thm)],[c_0_42,c_0_48]) ).
cnf(c_0_66,plain,
join(complement(X1),join(X1,X2)) = top,
inference(spm,[status(thm)],[c_0_59,c_0_37]) ).
cnf(c_0_67,plain,
join(X1,join(X2,join(X3,X1))) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_68,negated_conjecture,
join(complement(sk1),composition(sk1,complement(one))) = complement(sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_37]) ).
cnf(c_0_69,plain,
join(X1,complement(composition(X1,complement(one)))) = join(X1,complement(composition(X1,top))),
inference(spm,[status(thm)],[c_0_60,c_0_63]) ).
cnf(c_0_70,plain,
composition(X1,join(converse(X2),converse(X3))) = join(composition(X1,converse(X2)),composition(X1,converse(X3))),
inference(spm,[status(thm)],[c_0_45,c_0_17]) ).
cnf(c_0_71,plain,
join(converse(complement(X1)),composition(converse(complement(composition(X2,X1))),X2)) = converse(complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_24]),c_0_14]),c_0_17]) ).
cnf(c_0_72,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_62,c_0_64]) ).
cnf(c_0_73,plain,
join(X1,composition(top,X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_65,c_0_25]) ).
cnf(c_0_74,plain,
join(complement(X1),join(X2,join(X3,X1))) = top,
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_31]) ).
cnf(c_0_76,negated_conjecture,
complement(composition(sk1,complement(one))) = join(sk1,complement(composition(sk1,top))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_68]),c_0_37]),c_0_20]),c_0_69]) ).
cnf(c_0_77,plain,
composition(X1,join(converse(X2),X3)) = join(composition(X1,converse(X2)),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_70,c_0_17]) ).
cnf(c_0_78,plain,
composition(converse(complement(composition(X1,top))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_29]),c_0_72]),c_0_36]),c_0_72]) ).
cnf(c_0_79,plain,
join(X1,complement(composition(top,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_73]) ).
cnf(c_0_80,plain,
join(complement(X1),join(complement(composition(converse(X2),complement(composition(X2,X1)))),X3)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_24]),c_0_75]) ).
cnf(c_0_81,negated_conjecture,
composition(sk1,complement(one)) = complement(join(sk1,complement(composition(sk1,top)))),
inference(spm,[status(thm)],[c_0_37,c_0_76]) ).
cnf(c_0_82,plain,
composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_77,c_0_17]) ).
cnf(c_0_83,plain,
composition(converse(X1),complement(composition(X1,top))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_78]),c_0_72]),c_0_17]) ).
cnf(c_0_84,negated_conjecture,
join(composition(converse(sk1),sk1),one) != one,
inference(fof_simplification,[status(thm)],[goals_15]) ).
cnf(c_0_85,plain,
join(X1,join(X2,complement(composition(top,complement(join(X1,X2)))))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_31,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
join(one,join(complement(composition(converse(sk1),sk1)),X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_37]),c_0_37]),c_0_82]),c_0_83]),c_0_62]) ).
cnf(c_0_87,negated_conjecture,
join(composition(converse(sk1),sk1),one) != one,
c_0_84 ).
cnf(c_0_88,negated_conjecture,
join(one,complement(composition(converse(sk1),sk1))) = top,
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,negated_conjecture,
join(one,composition(converse(sk1),sk1)) != one,
inference(rw,[status(thm)],[c_0_87,c_0_20]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_88]),c_0_29]),c_0_62]),c_0_37]),c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL042-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n010.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Mon Sep 21 04:08:10 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.56 Running first-order theorem proving
% 0.25/0.57 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.97/1.32 % Version: 3.5.1
% 4.97/1.32 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.97/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.97/1.32 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.97/1.32 % Starting new_bool_3 with 300s (1) cores
% 4.97/1.32 % Starting new_bool_1 with 300s (1) cores
% 4.97/1.32 % Starting sh5l with 300s (1) cores
% 4.97/1.32 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4189039 completed with status 0
% 4.97/1.32 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.97/1.32 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.97/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.97/1.32 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.97/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.97/1.32 % No SInE strategy applied
% 4.97/1.32 % Search class: FUUPM-FFSF21-MFFFFFNN
% 4.97/1.32 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 4.97/1.32 % Starting SubtermCWHack with 136s (1) cores
% 4.97/1.32 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.97/1.32 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 4.97/1.32 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 4.97/1.32 % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 4.97/1.32 % H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 4189042 completed with status 0
% 4.97/1.32 % Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 4.97/1.32 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.97/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.97/1.32 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.97/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.97/1.32 % No SInE strategy applied
% 4.97/1.32 % Search class: FUUPM-FFSF21-MFFFFFNN
% 4.97/1.32 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 4.97/1.32 % Starting SubtermCWHack with 136s (1) cores
% 4.97/1.32 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.97/1.32 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 4.97/1.32 % Preprocessing time : 0.002 s
% 4.97/1.32
% 4.97/1.32 % Proof found!
% 4.97/1.32 % SZS status Unsatisfiable
% 4.97/1.32 % SZS output start CNFRefutation
% See solution above
% 4.97/1.32 % Parsed axioms : 15
% 4.97/1.32 % Removed by relevancy pruning/SinE : 0
% 4.97/1.32 % Initial clauses : 15
% 4.97/1.32 % Removed in clause preprocessing : 1
% 4.97/1.32 % Initial clauses in saturation : 14
% 4.97/1.32 % Processed clauses : 3410
% 4.97/1.32 % ...of these trivial : 2334
% 4.97/1.32 % ...subsumed : 573
% 4.97/1.32 % ...remaining for further processing : 503
% 4.97/1.32 % Other redundant clauses eliminated : 0
% 4.97/1.32 % Clauses deleted for lack of memory : 0
% 4.97/1.32 % Backward-subsumed : 0
% 4.97/1.32 % Backward-rewritten : 93
% 4.97/1.32 % Generated clauses : 74925
% 4.97/1.32 % ...of the previous two non-redundant : 31364
% 4.97/1.32 % ...aggressively subsumed : 0
% 4.97/1.32 % Contextual simplify-reflections : 0
% 4.97/1.32 % Paramodulations : 74925
% 4.97/1.32 % Factorizations : 0
% 4.97/1.32 % NegExts : 0
% 4.97/1.32 % Equation resolutions : 0
% 4.97/1.32 % Disequality decompositions : 0
% 4.97/1.32 % Total rewrite steps : 178093
% 4.97/1.32 % ...of those cached : 156771
% 4.97/1.32 % Propositional unsat checks : 0
% 4.97/1.32 % Propositional check models : 0
% 4.97/1.32 % Propositional check unsatisfiable : 0
% 4.97/1.32 % Propositional clauses : 0
% 4.97/1.32 % Propositional clauses after purity: 0
% 4.97/1.32 % Propositional unsat core size : 0
% 4.97/1.32 % Propositional preprocessing time : 0.000
% 4.97/1.32 % Propositional encoding time : 0.000
% 4.97/1.32 % Propositional solver time : 0.000
% 4.97/1.32 % Success case prop preproc time : 0.000
% 4.97/1.32 % Success case prop encoding time : 0.000
% 4.97/1.32 % Success case prop solver time : 0.000
% 4.97/1.32 % Current number of processed clauses : 410
% 4.97/1.32 % Positive orientable unit clauses : 405
% 4.97/1.32 % Positive unorientable unit clauses: 4
% 4.97/1.32 % Negative unit clauses : 1
% 4.97/1.32 % Non-unit-clauses : 0
% 4.97/1.32 % Current number of unprocessed clauses: 27251
% 4.97/1.32 % ...number of literals in the above : 27251
% 4.97/1.32 % Current number of archived formulas : 0
% 4.97/1.32 % Current number of archived clauses : 94
% 4.97/1.32 % Clause-clause subsumption calls (NU) : 0
% 4.97/1.32 % Rec. Clause-clause subsumption calls : 0
% 4.97/1.32 % Non-unit clause-clause subsumptions : 0
% 4.97/1.32 % Unit Clause-clause subsumption calls : 12
% 4.97/1.32 % Rewrite failures with RHS unbound : 0
% 4.97/1.32 % BW rewrite match attempts : 2221
% 4.97/1.32 % BW rewrite match successes : 221
% 4.97/1.32 % Condensation attempts : 0
% 4.97/1.32 % Condensation successes : 0
% 4.97/1.32 % Termbank termtop insertions : 970990
% 4.97/1.32 % Search garbage collected termcells : 2
% 4.97/1.32
% 4.97/1.32 % -------------------------------------------------
% 4.97/1.32 % User time : 0.643 s
% 4.97/1.32 % System time : 0.034 s
% 4.97/1.32 % Total time : 0.677 s
% 4.97/1.32 % Maximum resident set size: 3388 pages
% 4.97/1.32
% 4.97/1.32 % -------------------------------------------------
% 4.97/1.32 % User time : 3.106 s
% 4.97/1.32 % System time : 0.173 s
% 4.97/1.32 % Total time : 3.279 s
% 4.97/1.32 % Maximum resident set size: 4608 pages
% 4.97/1.32 % E exiting
%------------------------------------------------------------------------------