%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : RNG128-1 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 : Tue Sep 29 12:35:02 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.38s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 8
% Syntax : Number of clauses : 105 ( 105 unt; 0 nHn; 15 RR)
% Number of literals : 105 ( 104 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
add(x0,x1) != mult(x0,x1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
add(A,B) = add(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_001) ).
cnf(c3,plain,
add(X2,X) = add(X,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
add(X,X2) = add(X2,X),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
mult(X2,add(X,X2)) = mult(X2,add(X2,X)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
mult(A2,add(B2,C)) = add(mult(A2,B2),mult(A2,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_003) ).
cnf(c7,plain,
mult(X2,add(X2,X)) = add(mult(X2,X2),mult(X2,X)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,axiom,
add(unit,add(A2,mult(A2,A2))) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_006) ).
cnf(c9,plain,
add(unit,add(zero,mult(zero,zero))) = zero,
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
zero = add(unit,add(zero,mult(zero,zero))),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
add(unit,X) = add(X,unit),
inference(substitution,[status(thm)],[c2]) ).
cnf(c12,plain,
add(X,unit) = add(unit,X),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
mult(X2,add(X,unit)) = mult(X2,add(unit,X)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
mult(X2,add(unit,X)) = add(mult(X2,unit),mult(X2,X)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c15,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_005) ).
cnf(c16,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
add(mult(X2,unit),mult(X2,X)) = add(X2,mult(X2,X)),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
mult(X2,add(unit,X)) = add(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c14,c17]) ).
cnf(c19,plain,
mult(X2,add(X,unit)) = add(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c13,c18]) ).
cnf(c20,plain,
mult(X,add(zero,unit)) = add(X,mult(X,zero)),
inference(substitution,[status(thm)],[c19]) ).
cnf(c21,plain,
add(X,mult(X,zero)) = mult(X,add(zero,unit)),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,axiom,
add(zero,A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_004) ).
cnf(c23,plain,
add(zero,unit) = unit,
inference(substitution,[status(thm)],[c22]) ).
cnf(c24,plain,
mult(X,add(zero,unit)) = mult(X,unit),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c15]) ).
cnf(c26,plain,
mult(X,add(zero,unit)) = X,
inference(transitivity,[status(thm)],[c24,c25]) ).
cnf(c27,plain,
add(X,mult(X,zero)) = X,
inference(transitivity,[status(thm)],[c21,c26]) ).
cnf(c28,plain,
add(zero,mult(zero,zero)) = zero,
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
add(unit,add(zero,mult(zero,zero))) = add(unit,zero),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
add(zero,X) = add(X,zero),
inference(substitution,[status(thm)],[c2]) ).
cnf(c31,plain,
add(X,zero) = add(zero,X),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c32,plain,
add(zero,X) = X,
inference(substitution,[status(thm)],[c22]) ).
cnf(c33,plain,
add(X,zero) = X,
inference(transitivity,[status(thm)],[c31,c32]) ).
cnf(c34,plain,
add(unit,zero) = unit,
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
add(unit,add(zero,mult(zero,zero))) = unit,
inference(transitivity,[status(thm)],[c29,c34]) ).
cnf(c36,plain,
zero = unit,
inference(transitivity,[status(thm)],[c10,c35]) ).
cnf(c37,plain,
unit = zero,
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
add(unit,X) = add(zero,X),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,plain,
add(zero,X) = X,
inference(substitution,[status(thm)],[c22]) ).
cnf(c40,plain,
add(unit,X) = X,
inference(transitivity,[status(thm)],[c38,c39]) ).
cnf(c41,plain,
add(unit,mult(X,X)) = mult(X,X),
inference(substitution,[status(thm)],[c40]) ).
cnf(c42,plain,
mult(X,X) = add(unit,mult(X,X)),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c43,plain,
add(mult(X2,X),X2) = add(X2,mult(X2,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c44,plain,
add(X2,mult(X2,X)) = add(mult(X2,X),X2),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c15]) ).
cnf(c46,plain,
X = mult(X,unit),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
add(mult(X2,X),X2) = add(mult(X2,X),mult(X2,unit)),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
mult(X2,add(X,unit)) = add(mult(X2,X),mult(X2,unit)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c49,plain,
add(mult(X2,X),mult(X2,unit)) = mult(X2,add(X,unit)),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c50,plain,
unit = zero,
inference(symmetry,[status(thm)],[c36]) ).
cnf(c51,plain,
add(X,unit) = add(X,zero),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
add(X,unit) = X,
inference(transitivity,[status(thm)],[c51,c33]) ).
cnf(c53,plain,
mult(X2,add(X,unit)) = mult(X2,X),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
add(mult(X2,X),mult(X2,unit)) = mult(X2,X),
inference(transitivity,[status(thm)],[c49,c53]) ).
cnf(c55,plain,
add(mult(X2,X),X2) = mult(X2,X),
inference(transitivity,[status(thm)],[c47,c54]) ).
cnf(c56,plain,
add(X2,mult(X2,X)) = mult(X2,X),
inference(transitivity,[status(thm)],[c44,c55]) ).
cnf(c57,plain,
add(X,mult(X,X)) = mult(X,X),
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
mult(X,X) = add(X,mult(X,X)),
inference(symmetry,[status(thm)],[c57]) ).
cnf(c59,plain,
add(unit,mult(X,X)) = add(unit,add(X,mult(X,X))),
inference(congruence,[status(thm)],[c58]) ).
cnf(c60,plain,
add(unit,add(X,mult(X,X))) = X,
inference(substitution,[status(thm)],[c8]) ).
cnf(c61,plain,
add(unit,mult(X,X)) = X,
inference(transitivity,[status(thm)],[c59,c60]) ).
cnf(c62,plain,
mult(X,X) = X,
inference(transitivity,[status(thm)],[c42,c61]) ).
cnf(c63,plain,
add(mult(X2,X2),mult(X2,X)) = add(X2,mult(X2,X)),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
add(mult(X2,X2),mult(X2,X)) = mult(X2,X),
inference(transitivity,[status(thm)],[c63,c56]) ).
cnf(c65,plain,
mult(X2,add(X2,X)) = mult(X2,X),
inference(transitivity,[status(thm)],[c7,c64]) ).
cnf(c66,plain,
mult(X2,add(X,X2)) = mult(X2,X),
inference(transitivity,[status(thm)],[c5,c65]) ).
cnf(c67,axiom,
mult(A2,B2) = mult(B2,A2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_002) ).
cnf(c68,plain,
mult(X2,X) = mult(X,X2),
inference(substitution,[status(thm)],[c67]) ).
cnf(c69,plain,
mult(X2,add(X,X2)) = mult(X,X2),
inference(transitivity,[status(thm)],[c66,c68]) ).
cnf(c70,plain,
mult(X,add(X2,X)) = mult(X2,X),
inference(substitution,[status(thm)],[c69]) ).
cnf(c71,plain,
mult(X2,X) = mult(X,add(X2,X)),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
mult(add(X2,X),X) = mult(X,add(X2,X)),
inference(substitution,[status(thm)],[c67]) ).
cnf(c73,plain,
mult(X,add(X2,X)) = mult(add(X2,X),X),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,plain,
mult(add(X2,X),add(X,add(X2,X))) = mult(add(X2,X),X),
inference(substitution,[status(thm)],[c66]) ).
cnf(c75,plain,
mult(add(X2,X),X) = mult(add(X2,X),add(X,add(X2,X))),
inference(symmetry,[status(thm)],[c74]) ).
cnf(c76,plain,
add(add(X2,X3),X) = add(X,add(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c77,plain,
add(X2,add(X3,X)) = add(add(X3,X),X2),
inference(symmetry,[status(thm)],[c76]) ).
cnf(c78,axiom,
add(A2,add(B2,C2)) = add(add(A2,B2),C2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
cnf(c79,plain,
add(X3,add(X,X2)) = add(add(X3,X),X2),
inference(substitution,[status(thm)],[c78]) ).
cnf(c80,plain,
add(add(X3,X),X2) = add(X3,add(X,X2)),
inference(symmetry,[status(thm)],[c79]) ).
cnf(c81,plain,
add(X,X2) = add(X2,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c82,plain,
add(X3,add(X,X2)) = add(X3,add(X2,X)),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,plain,
add(add(X3,X),X2) = add(X3,add(X2,X)),
inference(transitivity,[status(thm)],[c80,c82]) ).
cnf(c84,plain,
add(X2,add(X3,X)) = add(X3,add(X2,X)),
inference(transitivity,[status(thm)],[c77,c83]) ).
cnf(c85,plain,
add(X2,add(X,X2)) = add(X,add(X2,X2)),
inference(substitution,[status(thm)],[c84]) ).
cnf(c86,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c15]) ).
cnf(c87,plain,
X = mult(X,unit),
inference(symmetry,[status(thm)],[c86]) ).
cnf(c88,plain,
add(X,X) = add(X,mult(X,unit)),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,plain,
unit = zero,
inference(symmetry,[status(thm)],[c36]) ).
cnf(c90,plain,
mult(X,unit) = mult(X,zero),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
add(X,mult(X,unit)) = add(X,mult(X,zero)),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
add(X,mult(X,unit)) = X,
inference(transitivity,[status(thm)],[c91,c27]) ).
cnf(c93,plain,
add(X,X) = X,
inference(transitivity,[status(thm)],[c88,c92]) ).
cnf(c94,plain,
add(X,add(X2,X2)) = add(X,X2),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
add(X2,add(X,X2)) = add(X,X2),
inference(transitivity,[status(thm)],[c85,c94]) ).
cnf(c96,plain,
add(X,add(X2,X)) = add(X2,X),
inference(substitution,[status(thm)],[c95]) ).
cnf(c97,plain,
mult(add(X2,X),add(X,add(X2,X))) = mult(add(X2,X),add(X2,X)),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
mult(add(X2,X),add(X2,X)) = add(X2,X),
inference(substitution,[status(thm)],[c62]) ).
cnf(c99,plain,
mult(add(X2,X),add(X,add(X2,X))) = add(X2,X),
inference(transitivity,[status(thm)],[c97,c98]) ).
cnf(c100,plain,
mult(add(X2,X),X) = add(X2,X),
inference(transitivity,[status(thm)],[c75,c99]) ).
cnf(c101,plain,
mult(X,add(X2,X)) = add(X2,X),
inference(transitivity,[status(thm)],[c73,c100]) ).
cnf(c102,plain,
mult(X2,X) = add(X2,X),
inference(transitivity,[status(thm)],[c71,c101]) ).
cnf(c103,plain,
mult(x0,x1) = add(x0,x1),
inference(substitution,[status(thm)],[c102]) ).
cnf(c104,plain,
add(x0,x1) = mult(x0,x1),
inference(symmetry,[status(thm)],[c103]) ).
cnf(c105,plain,
$false,
inference(resolution,[status(thm)],[c1,c104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG128-1 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Sun Sep 27 23:23:34 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.38 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.07/0.38
% 0.07/0.38 % SZS status Unsatisfiable
% 0.07/0.38
% 0.07/0.38 % SZS output start CNFRefutation
% See solution above
% 0.07/0.40
% 0.07/0.40 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------