TSTP Solution File: RNG009-7 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : RNG009-7 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 : Tue May 21 02:36:36 EDT 2024
% Result : Unsatisfiable 3.74s 0.94s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 11
% Syntax : Number of clauses : 113 ( 113 unt; 0 nHn; 43 RR)
% Number of literals : 113 ( 112 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 127 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_for_addition,axiom,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',associativity_for_addition) ).
cnf(right_additive_inverse,axiom,
add(X1,additive_inverse(X1)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',right_additive_inverse) ).
cnf(left_additive_identity,axiom,
add(additive_identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',left_additive_identity) ).
cnf(right_additive_identity,axiom,
add(X1,additive_identity) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',right_additive_identity) ).
cnf(distribute1,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',distribute1) ).
cnf(a_times_b_is_c,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(commutativity_for_addition,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',commutativity_for_addition) ).
cnf(x_cubed_is_x,hypothesis,
multiply(X1,multiply(X1,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_cubed_is_x) ).
cnf(distribute2,axiom,
multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',distribute2) ).
cnf(associativity_for_multiplication,axiom,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',associativity_for_multiplication) ).
cnf(prove_commutativity,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
cnf(c_0_11,axiom,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
associativity_for_addition ).
cnf(c_0_12,axiom,
add(X1,additive_inverse(X1)) = additive_identity,
right_additive_inverse ).
cnf(c_0_13,axiom,
add(additive_identity,X1) = X1,
left_additive_identity ).
cnf(c_0_14,plain,
add(X1,add(additive_inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_15,axiom,
add(X1,additive_identity) = X1,
right_additive_identity ).
cnf(c_0_16,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
distribute1 ).
cnf(c_0_17,negated_conjecture,
multiply(a,b) = c,
a_times_b_is_c ).
cnf(c_0_18,axiom,
add(X1,X2) = add(X2,X1),
commutativity_for_addition ).
cnf(c_0_19,plain,
additive_inverse(additive_inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
multiply(a,add(X1,b)) = add(c,multiply(a,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_21,hypothesis,
multiply(X1,multiply(X1,X1)) = X1,
x_cubed_is_x ).
cnf(c_0_22,plain,
add(additive_inverse(X1),add(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
add(c,multiply(a,additive_identity)) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_17]) ).
cnf(c_0_24,axiom,
multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)),
distribute2 ).
cnf(c_0_25,hypothesis,
multiply(X1,add(X2,multiply(X1,X1))) = add(X1,multiply(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_21]),c_0_18]) ).
cnf(c_0_26,negated_conjecture,
multiply(a,add(b,X1)) = add(c,multiply(a,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_27,negated_conjecture,
multiply(a,additive_identity) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18]),c_0_12]) ).
cnf(c_0_28,hypothesis,
multiply(add(X1,X2),multiply(X2,X2)) = add(X2,multiply(X1,multiply(X2,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_21]),c_0_18]) ).
cnf(c_0_29,hypothesis,
add(X1,multiply(X1,additive_identity)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_13]),c_0_21]) ).
cnf(c_0_30,axiom,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
associativity_for_multiplication ).
cnf(c_0_31,negated_conjecture,
add(c,multiply(a,additive_inverse(b))) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_12]),c_0_27]) ).
cnf(c_0_32,hypothesis,
add(X1,multiply(additive_identity,multiply(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_13]),c_0_21]) ).
cnf(c_0_33,hypothesis,
multiply(X1,additive_identity) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_29]),c_0_18]),c_0_12]) ).
cnf(c_0_34,hypothesis,
multiply(X1,multiply(X1,multiply(X1,X2))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_21]),c_0_30]) ).
cnf(c_0_35,negated_conjecture,
multiply(a,additive_inverse(b)) = additive_inverse(c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_31]),c_0_15]) ).
cnf(c_0_36,hypothesis,
multiply(additive_identity,multiply(X1,X1)) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_32]),c_0_18]),c_0_12]) ).
cnf(c_0_37,hypothesis,
multiply(X1,multiply(additive_identity,X2)) = multiply(additive_identity,X2),
inference(spm,[status(thm)],[c_0_30,c_0_33]) ).
cnf(c_0_38,plain,
add(X1,add(X2,additive_inverse(X1))) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_39,plain,
add(multiply(X1,X2),add(multiply(X1,X3),X4)) = add(multiply(X1,add(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_40,negated_conjecture,
multiply(add(c,multiply(a,X1)),X2) = multiply(a,multiply(add(X1,b),X2)),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_41,hypothesis,
multiply(a,multiply(a,additive_inverse(c))) = additive_inverse(c),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,hypothesis,
multiply(additive_identity,X1) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_37]) ).
cnf(c_0_43,plain,
add(additive_inverse(multiply(X1,X2)),multiply(X1,add(X2,X3))) = multiply(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_18]) ).
cnf(c_0_44,plain,
add(multiply(X1,X2),add(multiply(X3,X2),X4)) = add(multiply(add(X1,X3),X2),X4),
inference(spm,[status(thm)],[c_0_11,c_0_24]) ).
cnf(c_0_45,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X2))))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_30]),c_0_30]) ).
cnf(c_0_46,hypothesis,
multiply(a,multiply(add(b,multiply(a,additive_inverse(c))),X1)) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_12]),c_0_42]),c_0_18]) ).
cnf(c_0_47,plain,
multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_12]),c_0_33]),c_0_15]) ).
cnf(c_0_48,plain,
add(additive_inverse(multiply(X1,X2)),multiply(add(X1,X3),X2)) = multiply(X3,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_44]),c_0_18]) ).
cnf(c_0_49,hypothesis,
multiply(add(b,multiply(a,additive_inverse(c))),a) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_33]),c_0_33]),c_0_33]) ).
cnf(c_0_50,plain,
multiply(additive_inverse(multiply(X1,X2)),X3) = multiply(X1,multiply(additive_inverse(X2),X3)),
inference(spm,[status(thm)],[c_0_30,c_0_47]) ).
cnf(c_0_51,plain,
multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_12]),c_0_42]),c_0_15]) ).
cnf(c_0_52,hypothesis,
additive_inverse(multiply(a,multiply(c,a))) = additive_inverse(multiply(b,a)),
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_48,c_0_49]),c_0_15]),c_0_47]),c_0_50]),c_0_51]),c_0_47]) ).
cnf(c_0_53,hypothesis,
multiply(a,multiply(c,a)) = multiply(b,a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_52]),c_0_19]) ).
cnf(c_0_54,hypothesis,
multiply(add(b,additive_inverse(multiply(a,c))),multiply(a,X1)) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_49]),c_0_42]),c_0_47]) ).
cnf(c_0_55,negated_conjecture,
multiply(a,multiply(b,X1)) = multiply(c,X1),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_56,hypothesis,
multiply(a,multiply(c,multiply(a,X1))) = multiply(b,multiply(a,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_53]),c_0_30]),c_0_30]) ).
cnf(c_0_57,hypothesis,
multiply(X1,add(multiply(X1,X1),X2)) = add(X1,multiply(X1,X2)),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_58,negated_conjecture,
multiply(add(b,additive_inverse(multiply(a,c))),multiply(c,X1)) = additive_identity,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
multiply(a,multiply(c,multiply(c,X1))) = multiply(b,multiply(c,X1)),
inference(spm,[status(thm)],[c_0_56,c_0_55]) ).
cnf(c_0_60,hypothesis,
multiply(X1,multiply(add(X1,X2),X1)) = add(X1,multiply(X1,multiply(X2,X1))),
inference(spm,[status(thm)],[c_0_57,c_0_24]) ).
cnf(c_0_61,hypothesis,
multiply(c,add(b,additive_inverse(multiply(a,c)))) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_58]),c_0_33]) ).
cnf(c_0_62,plain,
add(multiply(X1,X2),multiply(X3,multiply(X4,X2))) = multiply(add(X1,multiply(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
cnf(c_0_63,hypothesis,
multiply(b,multiply(c,c)) = multiply(a,c),
inference(spm,[status(thm)],[c_0_59,c_0_21]) ).
cnf(c_0_64,negated_conjecture,
multiply(a,multiply(a,multiply(c,X1))) = multiply(c,X1),
inference(spm,[status(thm)],[c_0_34,c_0_55]) ).
cnf(c_0_65,negated_conjecture,
multiply(a,multiply(a,c)) = c,
inference(spm,[status(thm)],[c_0_34,c_0_17]) ).
cnf(c_0_66,plain,
add(additive_inverse(X1),add(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_38,c_0_19]) ).
cnf(c_0_67,negated_conjecture,
multiply(c,multiply(add(b,X1),b)) = add(c,multiply(c,multiply(X1,b))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_60]),c_0_26]),c_0_55]) ).
cnf(c_0_68,hypothesis,
multiply(c,multiply(add(b,additive_inverse(multiply(a,c))),X1)) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_61]),c_0_42]) ).
cnf(c_0_69,hypothesis,
multiply(add(X1,multiply(b,c)),c) = multiply(add(X1,a),c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_24]) ).
cnf(c_0_70,negated_conjecture,
multiply(c,multiply(a,multiply(c,multiply(a,c)))) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_45]),c_0_65]) ).
cnf(c_0_71,plain,
add(X1,additive_inverse(add(X1,X2))) = additive_inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_66]),c_0_18]) ).
cnf(c_0_72,negated_conjecture,
add(c,additive_inverse(multiply(c,multiply(a,multiply(c,b))))) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_51]),c_0_30]),c_0_47]) ).
cnf(c_0_73,plain,
additive_inverse(additive_identity) = additive_identity,
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_74,hypothesis,
multiply(add(multiply(b,c),X1),c) = multiply(add(X1,a),c),
inference(spm,[status(thm)],[c_0_69,c_0_18]) ).
cnf(c_0_75,negated_conjecture,
multiply(c,multiply(b,multiply(a,c))) = c,
inference(rw,[status(thm)],[c_0_70,c_0_56]) ).
cnf(c_0_76,negated_conjecture,
multiply(c,multiply(a,multiply(c,b))) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_15]),c_0_19]) ).
cnf(c_0_77,hypothesis,
multiply(add(a,additive_inverse(multiply(b,c))),c) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_12]),c_0_42]),c_0_18]) ).
cnf(c_0_78,negated_conjecture,
multiply(c,multiply(b,multiply(a,multiply(c,X1)))) = multiply(c,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_75]),c_0_30]),c_0_30]) ).
cnf(c_0_79,hypothesis,
multiply(b,multiply(a,multiply(c,b))) = multiply(a,c),
inference(spm,[status(thm)],[c_0_56,c_0_76]) ).
cnf(c_0_80,plain,
additive_inverse(add(X1,additive_inverse(X2))) = add(X2,additive_inverse(X1)),
inference(spm,[status(thm)],[c_0_71,c_0_38]) ).
cnf(c_0_81,hypothesis,
multiply(add(a,additive_inverse(multiply(b,c))),multiply(c,X1)) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_77]),c_0_42]) ).
cnf(c_0_82,hypothesis,
multiply(c,multiply(a,c)) = multiply(c,b),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,plain,
additive_inverse(multiply(X1,add(X2,additive_inverse(X3)))) = multiply(X1,add(X3,additive_inverse(X2))),
inference(spm,[status(thm)],[c_0_47,c_0_80]) ).
cnf(c_0_84,hypothesis,
multiply(c,add(a,additive_inverse(multiply(b,c)))) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_81]),c_0_33]) ).
cnf(c_0_85,hypothesis,
multiply(c,multiply(a,multiply(c,X1))) = multiply(c,multiply(b,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_82]),c_0_30]),c_0_30]) ).
cnf(c_0_86,hypothesis,
multiply(c,add(multiply(b,c),additive_inverse(a))) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_73]) ).
cnf(c_0_87,hypothesis,
multiply(X1,add(multiply(X1,multiply(X1,X2)),X3)) = multiply(X1,add(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_34]),c_0_16]) ).
cnf(c_0_88,hypothesis,
multiply(c,multiply(b,add(multiply(b,c),additive_inverse(a)))) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_33]),c_0_33]) ).
cnf(c_0_89,hypothesis,
multiply(X1,multiply(X1,add(multiply(X1,X2),X3))) = multiply(X1,add(X2,multiply(X1,X3))),
inference(spm,[status(thm)],[c_0_87,c_0_16]) ).
cnf(c_0_90,hypothesis,
multiply(c,multiply(b,b)) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_21]),c_0_17]) ).
cnf(c_0_91,hypothesis,
multiply(c,multiply(b,add(c,additive_inverse(multiply(b,a))))) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_88]),c_0_33]),c_0_33]),c_0_89]),c_0_47]) ).
cnf(c_0_92,hypothesis,
multiply(c,multiply(b,multiply(b,X1))) = multiply(c,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_90]),c_0_30]) ).
cnf(c_0_93,hypothesis,
multiply(X1,multiply(X1,add(X1,X2))) = add(X1,multiply(X1,multiply(X1,X2))),
inference(spm,[status(thm)],[c_0_57,c_0_16]) ).
cnf(c_0_94,hypothesis,
multiply(c,add(c,additive_inverse(multiply(b,a)))) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_91]),c_0_33]),c_0_33]),c_0_92]) ).
cnf(c_0_95,hypothesis,
add(c,additive_inverse(multiply(c,multiply(c,multiply(b,a))))) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_33]),c_0_47]),c_0_47]) ).
cnf(c_0_96,hypothesis,
multiply(c,multiply(c,multiply(b,a))) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_95]),c_0_73]),c_0_15]),c_0_19]) ).
cnf(c_0_97,hypothesis,
multiply(a,multiply(c,multiply(b,a))) = multiply(b,multiply(b,a)),
inference(spm,[status(thm)],[c_0_56,c_0_53]) ).
cnf(c_0_98,hypothesis,
multiply(c,multiply(b,a)) = multiply(c,c),
inference(spm,[status(thm)],[c_0_34,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
multiply(a,multiply(c,c)) = multiply(b,c),
inference(spm,[status(thm)],[c_0_56,c_0_17]) ).
cnf(c_0_100,hypothesis,
multiply(X1,add(X2,additive_inverse(multiply(X1,multiply(X1,X2))))) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_12]),c_0_33]) ).
cnf(c_0_101,hypothesis,
multiply(b,multiply(b,a)) = multiply(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_102,hypothesis,
multiply(b,multiply(a,c)) = multiply(a,multiply(c,b)),
inference(spm,[status(thm)],[c_0_56,c_0_82]) ).
cnf(c_0_103,hypothesis,
multiply(b,add(a,additive_inverse(multiply(b,c)))) = additive_identity,
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_104,hypothesis,
multiply(b,multiply(b,multiply(c,b))) = multiply(b,c),
inference(rw,[status(thm)],[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_45,c_0_101]),c_0_30]),c_0_55]),c_0_63]),c_0_102]),c_0_30]),c_0_64]) ).
cnf(c_0_105,hypothesis,
multiply(b,multiply(b,c)) = multiply(b,a),
inference(spm,[status(thm)],[c_0_34,c_0_101]) ).
cnf(c_0_106,hypothesis,
multiply(b,multiply(add(a,additive_inverse(multiply(b,c))),X1)) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_103]),c_0_42]) ).
cnf(c_0_107,negated_conjecture,
multiply(add(a,X1),b) = add(c,multiply(X1,b)),
inference(spm,[status(thm)],[c_0_24,c_0_17]) ).
cnf(c_0_108,hypothesis,
multiply(b,multiply(c,b)) = multiply(b,a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_104]),c_0_105]) ).
cnf(c_0_109,negated_conjecture,
multiply(b,a) != c,
inference(fof_simplification,[status(thm)],[prove_commutativity]) ).
cnf(c_0_110,hypothesis,
add(c,additive_inverse(multiply(b,a))) = additive_identity,
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_45,c_0_106]),c_0_33]),c_0_107]),c_0_51]),c_0_30]),c_0_108]) ).
cnf(c_0_111,negated_conjecture,
multiply(b,a) != c,
c_0_109 ).
cnf(c_0_112,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_110]),c_0_73]),c_0_15]),c_0_19]),c_0_111]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG009-7 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 12:24:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.50 Running first-order model finding
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.74/0.94 # Version: 3.1.0
% 3.74/0.94 # Preprocessing class: FSSSSMSSSSSNFFN.
% 3.74/0.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.74/0.94 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 3.74/0.94 # Starting new_bool_3 with 300s (1) cores
% 3.74/0.94 # Starting new_bool_1 with 300s (1) cores
% 3.74/0.94 # Starting sh5l with 300s (1) cores
% 3.74/0.94 # sh5l with pid 16769 completed with status 0
% 3.74/0.94 # Result found by sh5l
% 3.74/0.94 # Preprocessing class: FSSSSMSSSSSNFFN.
% 3.74/0.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.74/0.94 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 3.74/0.94 # Starting new_bool_3 with 300s (1) cores
% 3.74/0.94 # Starting new_bool_1 with 300s (1) cores
% 3.74/0.94 # Starting sh5l with 300s (1) cores
% 3.74/0.94 # SinE strategy is gf500_gu_R04_F100_L20000
% 3.74/0.94 # Search class: FUUPM-FFSF21-SFFFFFNN
% 3.74/0.94 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.74/0.94 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 3.74/0.94 # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 16776 completed with status 0
% 3.74/0.94 # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 3.74/0.94 # Preprocessing class: FSSSSMSSSSSNFFN.
% 3.74/0.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.74/0.94 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 3.74/0.94 # Starting new_bool_3 with 300s (1) cores
% 3.74/0.94 # Starting new_bool_1 with 300s (1) cores
% 3.74/0.94 # Starting sh5l with 300s (1) cores
% 3.74/0.94 # SinE strategy is gf500_gu_R04_F100_L20000
% 3.74/0.94 # Search class: FUUPM-FFSF21-SFFFFFNN
% 3.74/0.94 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.74/0.94 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 3.74/0.94 # Preprocessing time : 0.001 s
% 3.74/0.94 # Presaturation interreduction done
% 3.74/0.94
% 3.74/0.94 # Proof found!
% 3.74/0.94 # SZS status Unsatisfiable
% 3.74/0.94 # SZS output start CNFRefutation
% See solution above
% 3.74/0.94 # Parsed axioms : 12
% 3.74/0.94 # Removed by relevancy pruning/SinE : 0
% 3.74/0.94 # Initial clauses : 12
% 3.74/0.94 # Removed in clause preprocessing : 0
% 3.74/0.94 # Initial clauses in saturation : 12
% 3.74/0.94 # Processed clauses : 1846
% 3.74/0.94 # ...of these trivial : 941
% 3.74/0.94 # ...subsumed : 288
% 3.74/0.94 # ...remaining for further processing : 617
% 3.74/0.94 # Other redundant clauses eliminated : 0
% 3.74/0.94 # Clauses deleted for lack of memory : 0
% 3.74/0.94 # Backward-subsumed : 0
% 3.74/0.94 # Backward-rewritten : 280
% 3.74/0.94 # Generated clauses : 39707
% 3.74/0.94 # ...of the previous two non-redundant : 31222
% 3.74/0.94 # ...aggressively subsumed : 0
% 3.74/0.94 # Contextual simplify-reflections : 0
% 3.74/0.94 # Paramodulations : 39707
% 3.74/0.94 # Factorizations : 0
% 3.74/0.94 # NegExts : 0
% 3.74/0.94 # Equation resolutions : 0
% 3.74/0.94 # Disequality decompositions : 0
% 3.74/0.94 # Total rewrite steps : 82583
% 3.74/0.94 # ...of those cached : 60737
% 3.74/0.94 # Propositional unsat checks : 0
% 3.74/0.94 # Propositional check models : 0
% 3.74/0.94 # Propositional check unsatisfiable : 0
% 3.74/0.94 # Propositional clauses : 0
% 3.74/0.94 # Propositional clauses after purity: 0
% 3.74/0.94 # Propositional unsat core size : 0
% 3.74/0.94 # Propositional preprocessing time : 0.000
% 3.74/0.94 # Propositional encoding time : 0.000
% 3.74/0.94 # Propositional solver time : 0.000
% 3.74/0.94 # Success case prop preproc time : 0.000
% 3.74/0.94 # Success case prop encoding time : 0.000
% 3.74/0.94 # Success case prop solver time : 0.000
% 3.74/0.94 # Current number of processed clauses : 326
% 3.74/0.94 # Positive orientable unit clauses : 319
% 3.74/0.94 # Positive unorientable unit clauses: 6
% 3.74/0.94 # Negative unit clauses : 1
% 3.74/0.94 # Non-unit-clauses : 0
% 3.74/0.94 # Current number of unprocessed clauses: 28989
% 3.74/0.94 # ...number of literals in the above : 28989
% 3.74/0.94 # Current number of archived formulas : 0
% 3.74/0.94 # Current number of archived clauses : 291
% 3.74/0.94 # Clause-clause subsumption calls (NU) : 0
% 3.74/0.94 # Rec. Clause-clause subsumption calls : 0
% 3.74/0.94 # Non-unit clause-clause subsumptions : 0
% 3.74/0.94 # Unit Clause-clause subsumption calls : 112
% 3.74/0.94 # Rewrite failures with RHS unbound : 0
% 3.74/0.94 # BW rewrite match attempts : 2003
% 3.74/0.94 # BW rewrite match successes : 319
% 3.74/0.94 # Condensation attempts : 0
% 3.74/0.94 # Condensation successes : 0
% 3.74/0.94 # Termbank termtop insertions : 751537
% 3.74/0.94 # Search garbage collected termcells : 2
% 3.74/0.94
% 3.74/0.94 # -------------------------------------------------
% 3.74/0.94 # User time : 0.396 s
% 3.74/0.94 # System time : 0.035 s
% 3.74/0.94 # Total time : 0.431 s
% 3.74/0.94 # Maximum resident set size: 1640 pages
% 3.74/0.94
% 3.74/0.94 # -------------------------------------------------
% 3.74/0.94 # User time : 0.396 s
% 3.74/0.94 # System time : 0.038 s
% 3.74/0.94 # Total time : 0.434 s
% 3.74/0.94 # Maximum resident set size: 1696 pages
% 3.74/0.94 % E---3.1 exiting
%------------------------------------------------------------------------------