%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG128-1 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 : Sun Sep 27 08:25:58 AM UTC 2026
% Result : Unsatisfiable 64.19s 16.61s
% Output : CNFRefutation 64.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 7 RR)
% Number of literals : 64 ( 63 equ; 3 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 : 109 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos,axiom,
add(X0,add(X1,X2)) = add(add(X0,X1),X2) ).
cnf(sos_001,axiom,
add(X0,X1) = add(X1,X0) ).
cnf(sos_002,axiom,
mult(X0,X1) = mult(X1,X0) ).
cnf(sos_003,axiom,
mult(X0,add(X1,X2)) = add(mult(X0,X1),mult(X0,X2)) ).
cnf(sos_004,axiom,
add(zero,X0) = X0 ).
cnf(sos_005,axiom,
mult(X0,unit) = X0 ).
cnf(sos_006,axiom,
add(unit,add(X0,mult(X0,X0))) = X0 ).
cnf(goals,negated_conjecture,
add(x0,x1) != mult(x0,x1) ).
cnf(c0,plain,
add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(clausification,[status(esa)],[sos]) ).
cnf(c1,plain,
add(X0,X1) = add(X1,X0),
inference(clausification,[status(esa)],[sos_001]) ).
cnf(c2,plain,
mult(X0,X1) = mult(X1,X0),
inference(clausification,[status(esa)],[sos_002]) ).
cnf(c3,plain,
mult(X0,add(X1,X2)) = add(mult(X0,X1),mult(X0,X2)),
inference(clausification,[status(esa)],[sos_003]) ).
cnf(c4,plain,
add(zero,X0) = X0,
inference(clausification,[status(esa)],[sos_004]) ).
cnf(c5,plain,
mult(X0,unit) = X0,
inference(clausification,[status(esa)],[sos_005]) ).
cnf(c6,plain,
add(unit,add(X0,mult(X0,X0))) = X0,
inference(clausification,[status(esa)],[sos_006]) ).
cnf(c7,plain,
add(x0,x1) != mult(x0,x1),
inference(clausification,[status(esa)],[goals]) ).
cnf(d0,plain,
add(mult(X0,X2),mult(X0,X1)) = mult(X0,add(X1,X2)),
inference(superposition,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
mult(X0,add(X1,X2)) = mult(X0,add(X2,X1)),
inference(superposition,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
mult(add(X1,X2),X0) = mult(X0,add(X2,X1)),
inference(superposition,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
add(X0,zero) = X0,
inference(superposition,[status(thm)],[c1,c4]) ).
cnf(d4,plain,
mult(X0,add(unit,X1)) = add(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[c5,c3]) ).
cnf(d5,plain,
add(unit,mult(X0,add(unit,X0))) = X0,
inference(superposition,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
add(unit,mult(zero,unit)) = zero,
inference(superposition,[status(thm)],[d3,d5]) ).
cnf(d7,plain,
add(unit,zero) = zero,
inference(demodulation,[status(thm)],[d6,c5]) ).
cnf(d8,plain,
unit = zero,
inference(demodulation,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
add(unit,X0) = X0,
inference(demodulation,[status(thm)],[c4,d8]) ).
cnf(d10,plain,
mult(X0,add(unit,X0)) = X0,
inference(demodulation,[status(thm)],[d5,d9]) ).
cnf(d11,plain,
mult(X0,X0) = X0,
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
mult(add(X0,X1),add(X1,X0)) = add(X0,X1),
inference(superposition,[status(thm)],[d1,d11]) ).
cnf(d13,plain,
add(zero,add(X0,X1)) = add(X0,X1),
inference(superposition,[status(thm)],[c4,c0]) ).
cnf(d14,plain,
add(X0,X1) = add(X0,X1),
inference(demodulation,[status(thm)],[d13,c4]) ).
cnf(d15,plain,
mult(unit,X0) = X0,
inference(superposition,[status(thm)],[c2,c5]) ).
cnf(d16,plain,
X0 = mult(X0,unit),
inference(superposition,[status(thm)],[d15,c2]) ).
cnf(d17,plain,
mult(X0,add(unit,X1)) = add(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[d16,c3]) ).
cnf(d18,plain,
mult(X1,X0) = add(X1,mult(X1,X0)),
inference(demodulation,[status(thm)],[d17,d9]) ).
cnf(d19,plain,
add(X0,mult(X0,X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[d18,d14]) ).
cnf(d20,plain,
mult(X0,add(X0,X1)) = add(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[d11,c3]) ).
cnf(d21,plain,
mult(X0,add(X0,X1)) = mult(X0,X1),
inference(demodulation,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
mult(X0,add(X1,X0)) = mult(X0,X1),
inference(superposition,[status(thm)],[d21,d1]) ).
cnf(d23,plain,
add(X2,add(X0,X1)) = add(X0,add(X1,X2)),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d24,plain,
add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d25,plain,
add(X0,add(mult(X0,X0),unit)) = X0,
inference(superposition,[status(thm)],[d24,c6]) ).
cnf(d26,plain,
add(X0,add(unit,mult(X0,X0))) = X0,
inference(demodulation,[status(thm)],[d25,c1]) ).
cnf(d27,plain,
add(X0,mult(X0,X0)) = X0,
inference(demodulation,[status(thm)],[d26,d9]) ).
cnf(d28,plain,
add(X0,X0) = X0,
inference(demodulation,[status(thm)],[d27,d11]) ).
cnf(d29,plain,
add(X0,add(X0,X1)) = add(X0,X1),
inference(superposition,[status(thm)],[d28,c0]) ).
cnf(d30,plain,
add(X0,X1) = add(X0,add(X1,X0)),
inference(superposition,[status(thm)],[d29,d23]) ).
cnf(d31,plain,
mult(add(X1,X0),add(X0,X1)) = mult(add(X1,X0),X0),
inference(superposition,[status(thm)],[d30,d22]) ).
cnf(d32,plain,
add(X0,X1) = mult(add(X0,X1),X1),
inference(demodulation,[status(thm)],[d31,d12]) ).
cnf(d33,plain,
add(X0,X1) = mult(X1,add(X1,X0)),
inference(demodulation,[status(thm)],[d32,d2]) ).
cnf(d34,plain,
mult(X0,X1) = add(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c2,d18]) ).
cnf(d35,plain,
add(X0,add(X1,X2)) = add(add(X1,X0),X2),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d36,plain,
add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[d35,c0]) ).
cnf(d37,plain,
add(X2,mult(X0,X1)) = add(X0,add(X2,mult(X0,X1))),
inference(superposition,[status(thm)],[d18,d36]) ).
cnf(d38,plain,
add(X0,mult(X1,X0)) = mult(X0,X1),
inference(superposition,[status(thm)],[c2,d19]) ).
cnf(d39,plain,
add(add(X0,X1),mult(X0,X1)) = mult(add(X0,X1),X0),
inference(superposition,[status(thm)],[d21,d38]) ).
cnf(d40,plain,
add(X0,add(X1,mult(X0,X1))) = mult(add(X0,X1),X0),
inference(demodulation,[status(thm)],[d39,c0]) ).
cnf(d41,plain,
add(X1,mult(X0,X1)) = mult(add(X0,X1),X0),
inference(demodulation,[status(thm)],[d40,d37]) ).
cnf(d42,plain,
mult(X0,X1) = mult(add(X1,X0),X1),
inference(demodulation,[status(thm)],[d41,d34]) ).
cnf(d43,plain,
mult(X1,X0) = mult(X0,add(X1,X0)),
inference(demodulation,[status(thm)],[d42,d2]) ).
cnf(d44,plain,
mult(X1,X0) = mult(X0,add(X0,X1)),
inference(superposition,[status(thm)],[d43,d1]) ).
cnf(d45,plain,
mult(X1,X0) = add(X1,X0),
inference(demodulation,[status(thm)],[d44,d33]) ).
cnf(d46,plain,
add(x0,x1) != add(x0,x1),
inference(demodulation,[status(thm)],[c7,d45]) ).
cnf(d47,plain,
$false,
inference(resolution,[status(thm)],[d14,d46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG128-1 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n003.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 06:13:53 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.19/16.61 % SZS status Unsatisfiable for theBenchmark.p
% 64.19/16.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------