TSTP Solution File: BOO020-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : BOO020-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 Aug 30 18:09:11 EDT 2023
% Result : Unsatisfiable 28.41s 4.71s
% Output : CNFRefutation 28.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 4
% Syntax : Number of clauses : 127 ( 90 unt; 0 nHn; 36 RR)
% Number of literals : 168 ( 167 equ; 50 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 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 : 275 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
add(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',frink1) ).
cnf(c_50,plain,
( add(add(add(X0,X1),X2),X3) != add(add(X1,X2),X0)
| add(add(add(X0,X1),X2),inverse(X3)) = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',frink2) ).
cnf(c_51,plain,
( add(add(add(X0,X1),X2),inverse(X3)) != n0
| add(add(add(X0,X1),X2),X3) = add(add(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',frink3) ).
cnf(c_52,negated_conjecture,
( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b
| add(add(a,b),c) != add(a,add(b,c))
| add(a,b) != add(b,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntington) ).
cnf(c_177,plain,
( add(add(X0,X1),X0) != add(add(X0,X1),X2)
| add(add(add(X0,X0),X1),inverse(X2)) = n0 ),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_178,plain,
( add(add(X0,X1),X0) != add(add(X0,X1),X2)
| add(add(X0,X1),inverse(X2)) = n0 ),
inference(light_normalisation,[status(thm)],[c_177,c_49]) ).
cnf(c_193,plain,
( add(add(X0,X1),X0) != add(X0,X1)
| add(add(X0,X1),inverse(add(X0,X1))) = n0 ),
inference(superposition,[status(thm)],[c_49,c_178]) ).
cnf(c_195,plain,
add(add(X0,X1),inverse(X0)) = n0,
inference(equality_resolution,[status(thm)],[c_178]) ).
cnf(c_205,plain,
add(X0,inverse(X0)) = n0,
inference(superposition,[status(thm)],[c_49,c_195]) ).
cnf(c_213,plain,
( add(add(X0,X1),X2) != n0
| add(add(add(X2,X0),X1),inverse(inverse(add(X2,X0)))) = n0 ),
inference(superposition,[status(thm)],[c_195,c_50]) ).
cnf(c_246,plain,
add(n0,inverse(X0)) = n0,
inference(superposition,[status(thm)],[c_205,c_195]) ).
cnf(c_301,plain,
add(add(add(X0,X1),X2),add(X0,X1)) = add(add(X1,X2),X0),
inference(superposition,[status(thm)],[c_195,c_51]) ).
cnf(c_302,plain,
add(add(add(X0,X1),X2),add(add(X0,X1),X2)) = add(add(X1,X2),X0),
inference(superposition,[status(thm)],[c_205,c_51]) ).
cnf(c_304,plain,
( add(n0,inverse(X0)) != n0
| add(add(add(X1,X2),inverse(X1)),X0) = add(add(X2,inverse(X1)),X1) ),
inference(superposition,[status(thm)],[c_195,c_51]) ).
cnf(c_306,plain,
( add(add(X0,X1),inverse(X2)) != n0
| add(add(add(X0,X0),X1),X2) = add(add(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_310,plain,
( add(add(X0,X1),inverse(X2)) != n0
| add(add(X0,X1),X0) = add(add(X0,X1),X2) ),
inference(light_normalisation,[status(thm)],[c_306,c_49]) ).
cnf(c_313,plain,
add(add(add(X0,X1),inverse(X0)),X2) = add(add(X1,inverse(X0)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_304,c_246]) ).
cnf(c_314,plain,
add(add(X0,inverse(X1)),X1) = add(n0,X2),
inference(light_normalisation,[status(thm)],[c_313,c_195]) ).
cnf(c_368,plain,
add(add(X0,add(X1,X0)),X1) = add(X1,X0),
inference(superposition,[status(thm)],[c_49,c_301]) ).
cnf(c_478,plain,
add(inverse(X0),X0) = n0,
inference(superposition,[status(thm)],[c_368,c_195]) ).
cnf(c_564,plain,
add(add(X0,X1),inverse(X0)) = add(add(n0,X1),n0),
inference(superposition,[status(thm)],[c_478,c_301]) ).
cnf(c_572,plain,
add(add(n0,X0),n0) = n0,
inference(light_normalisation,[status(thm)],[c_564,c_195]) ).
cnf(c_611,plain,
add(add(n0,X0),add(n0,X1)) = add(add(n0,X0),n0),
inference(superposition,[status(thm)],[c_572,c_301]) ).
cnf(c_624,plain,
add(add(n0,X0),add(n0,X1)) = n0,
inference(light_normalisation,[status(thm)],[c_611,c_572]) ).
cnf(c_648,plain,
add(n0,X0) = n0,
inference(superposition,[status(thm)],[c_624,c_49]) ).
cnf(c_708,plain,
add(X0,n0) = add(n0,X0),
inference(superposition,[status(thm)],[c_648,c_368]) ).
cnf(c_709,plain,
add(X0,n0) = n0,
inference(light_normalisation,[status(thm)],[c_708,c_648]) ).
cnf(c_780,plain,
add(add(X0,inverse(X1)),X1) = n0,
inference(demodulation,[status(thm)],[c_314,c_648]) ).
cnf(c_801,plain,
add(add(add(X0,X1),inverse(inverse(X2))),X2) = add(add(X1,inverse(inverse(X2))),X0),
inference(superposition,[status(thm)],[c_780,c_51]) ).
cnf(c_862,plain,
add(add(X0,X1),X2) = add(add(X1,X2),X0),
inference(demodulation,[status(thm)],[c_302,c_49]) ).
cnf(c_863,plain,
( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b
| add(add(b,c),a) != add(a,add(b,c))
| add(a,b) != add(b,a) ),
inference(demodulation,[status(thm)],[c_52,c_862]) ).
cnf(c_872,plain,
add(add(X0,X1),X0) = add(X0,X1),
inference(superposition,[status(thm)],[c_49,c_862]) ).
cnf(c_885,plain,
add(add(X0,X1),X1) = add(X1,X0),
inference(superposition,[status(thm)],[c_49,c_862]) ).
cnf(c_889,plain,
add(add(X0,X1),inverse(X1)) = add(n0,X0),
inference(superposition,[status(thm)],[c_205,c_862]) ).
cnf(c_894,plain,
add(add(add(X0,X1),X2),X3) = add(add(X1,X3),add(X2,X0)),
inference(superposition,[status(thm)],[c_862,c_862]) ).
cnf(c_903,plain,
( add(add(add(X0,X1),X2),inverse(X3)) != n0
| add(add(add(X2,X0),X1),X3) = add(add(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_862,c_51]) ).
cnf(c_928,plain,
( add(add(inverse(X0),add(X1,X2)),X3) != n0
| add(add(add(X1,X2),X3),X0) = add(add(X2,X3),X1) ),
inference(superposition,[status(thm)],[c_862,c_51]) ).
cnf(c_943,plain,
add(add(X0,X1),inverse(X1)) = n0,
inference(light_normalisation,[status(thm)],[c_889,c_648]) ).
cnf(c_1169,plain,
add(add(add(X0,X1),X2),X2) = add(add(X1,X2),X0),
inference(superposition,[status(thm)],[c_943,c_51]) ).
cnf(c_1233,plain,
add(add(add(X0,X1),X2),X1) = add(X1,add(X2,X0)),
inference(superposition,[status(thm)],[c_862,c_885]) ).
cnf(c_1242,plain,
add(add(X0,X1),X0) = add(X0,add(X1,X0)),
inference(superposition,[status(thm)],[c_885,c_885]) ).
cnf(c_1263,plain,
add(X0,add(X1,X0)) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_1242,c_872]) ).
cnf(c_1329,plain,
add(X0,add(add(X0,X1),X2)) = add(X0,add(X1,X2)),
inference(superposition,[status(thm)],[c_862,c_1263]) ).
cnf(c_1335,plain,
add(X0,add(X0,X1)) = add(X0,add(X1,X0)),
inference(superposition,[status(thm)],[c_885,c_1263]) ).
cnf(c_1339,plain,
add(add(add(X0,X1),X2),X1) = add(add(X1,X0),X2),
inference(superposition,[status(thm)],[c_1263,c_862]) ).
cnf(c_1354,plain,
add(X0,add(X0,X1)) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_1335,c_1263]) ).
cnf(c_1357,plain,
add(add(X0,X1),X2) = add(X0,add(X2,X1)),
inference(light_normalisation,[status(thm)],[c_1339,c_1233]) ).
cnf(c_1374,plain,
add(X0,add(X1,X1)) = add(X1,X0),
inference(demodulation,[status(thm)],[c_885,c_1357]) ).
cnf(c_1377,plain,
add(X0,add(inverse(X0),X1)) = n0,
inference(demodulation,[status(thm)],[c_195,c_1357]) ).
cnf(c_1380,plain,
( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b
| add(a,add(b,c)) != add(b,add(a,c))
| add(a,b) != add(b,a) ),
inference(demodulation,[status(thm)],[c_863,c_1357]) ).
cnf(c_1456,plain,
add(X0,X1) = add(X1,X0),
inference(demodulation,[status(thm)],[c_1374,c_49]) ).
cnf(c_1457,plain,
( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b
| add(a,add(b,c)) != add(b,add(a,c))
| add(b,a) != add(b,a) ),
inference(demodulation,[status(thm)],[c_1380,c_1456]) ).
cnf(c_1459,plain,
( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b
| add(a,add(b,c)) != add(b,add(a,c)) ),
inference(equality_resolution_simp,[status(thm)],[c_1457]) ).
cnf(c_1472,plain,
add(X0,add(X1,X0)) = add(X1,X0),
inference(superposition,[status(thm)],[c_1456,c_1354]) ).
cnf(c_1475,plain,
add(X0,add(X1,inverse(X0))) = n0,
inference(superposition,[status(thm)],[c_1456,c_1377]) ).
cnf(c_1481,plain,
add(add(X0,X1),inverse(add(X0,X1))) = n0,
inference(global_subsumption_just,[status(thm)],[c_193,c_193,c_872]) ).
cnf(c_1483,plain,
add(X0,add(X1,inverse(add(X0,X1)))) = n0,
inference(demodulation,[status(thm)],[c_1481,c_1357,c_1456]) ).
cnf(c_1545,plain,
add(add(X0,add(X1,X2)),X1) = add(add(X2,X1),X0),
inference(light_normalisation,[status(thm)],[c_1169,c_1357]) ).
cnf(c_1546,plain,
add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(demodulation,[status(thm)],[c_1545,c_1354,c_1357]) ).
cnf(c_1555,plain,
add(X0,add(X0,X1)) = add(X1,X0),
inference(superposition,[status(thm)],[c_49,c_1546]) ).
cnf(c_1563,plain,
add(X0,add(add(X0,X1),X2)) = add(X2,add(X0,X1)),
inference(superposition,[status(thm)],[c_1354,c_1546]) ).
cnf(c_1576,plain,
add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_1456,c_1546]) ).
cnf(c_1580,plain,
add(X0,add(X1,n0)) = add(X1,n0),
inference(superposition,[status(thm)],[c_648,c_1546]) ).
cnf(c_1594,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(superposition,[status(thm)],[c_1546,c_1456]) ).
cnf(c_1609,plain,
add(add(X0,X1),X2) = add(X1,add(X2,X0)),
inference(superposition,[status(thm)],[c_1546,c_1456]) ).
cnf(c_1619,plain,
add(X0,add(X0,add(X1,X2))) = add(X1,add(X0,X2)),
inference(light_normalisation,[status(thm)],[c_1563,c_1329,c_1357]) ).
cnf(c_1786,plain,
( add(inverse(add(a,inverse(b))),inverse(add(inverse(b),inverse(a)))) != b
| add(b,add(a,c)) != add(b,add(a,c)) ),
inference(demodulation,[status(thm)],[c_1459,c_1456,c_1576]) ).
cnf(c_1787,plain,
add(inverse(add(a,inverse(b))),inverse(add(inverse(b),inverse(a)))) != b,
inference(equality_resolution_simp,[status(thm)],[c_1786]) ).
cnf(c_1793,plain,
add(X0,add(X1,add(inverse(inverse(X1)),X2))) = add(X0,add(inverse(inverse(X1)),X2)),
inference(demodulation,[status(thm)],[c_801,c_894,c_1594]) ).
cnf(c_1808,plain,
add(X0,add(X1,inverse(inverse(X1)))) = add(X0,inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_49,c_1793]) ).
cnf(c_1809,plain,
add(X0,add(X1,add(X2,inverse(inverse(X1))))) = add(X0,add(X2,inverse(inverse(X1)))),
inference(superposition,[status(thm)],[c_1456,c_1793]) ).
cnf(c_1916,plain,
add(X0,inverse(inverse(n0))) = add(X0,n0),
inference(superposition,[status(thm)],[c_648,c_1808]) ).
cnf(c_1931,plain,
add(X0,inverse(inverse(inverse(X0)))) = n0,
inference(superposition,[status(thm)],[c_1808,c_1377]) ).
cnf(c_1935,plain,
add(X0,inverse(inverse(n0))) = n0,
inference(light_normalisation,[status(thm)],[c_1916,c_709]) ).
cnf(c_2085,plain,
inverse(inverse(n0)) = n0,
inference(superposition,[status(thm)],[c_1935,c_49]) ).
cnf(c_5465,plain,
( add(add(X0,X1),inverse(X2)) != n0
| add(X1,add(X2,X0)) = add(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_310,c_872,c_1609]) ).
cnf(c_5466,plain,
( add(X0,add(X1,inverse(X2))) != n0
| add(X1,add(X2,X0)) = add(X0,X1) ),
inference(demodulation,[status(thm)],[c_5465,c_1594]) ).
cnf(c_5478,plain,
( add(X0,inverse(X1)) != n0
| add(X0,add(X1,X0)) = add(X0,X0) ),
inference(superposition,[status(thm)],[c_1354,c_5466]) ).
cnf(c_5490,plain,
( add(X0,add(X1,n0)) != n0
| add(X1,add(inverse(n0),X0)) = add(X0,X1) ),
inference(superposition,[status(thm)],[c_2085,c_5466]) ).
cnf(c_5496,plain,
( add(X0,inverse(X1)) != n0
| add(X1,X0) = X0 ),
inference(light_normalisation,[status(thm)],[c_5478,c_49,c_1472]) ).
cnf(c_5500,plain,
( add(X0,n0) != n0
| add(X0,add(inverse(n0),X1)) = add(X1,X0) ),
inference(light_normalisation,[status(thm)],[c_5490,c_1580]) ).
cnf(c_5501,plain,
add(X0,add(inverse(n0),X1)) = add(X1,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_5500,c_709]) ).
cnf(c_6322,plain,
( add(X0,add(X1,X2)) != n0
| add(add(add(X1,X2),X0),inverse(inverse(add(X1,X2)))) = n0 ),
inference(light_normalisation,[status(thm)],[c_213,c_1609]) ).
cnf(c_6323,plain,
( add(X0,add(X1,X2)) != n0
| add(X1,add(X2,add(X0,inverse(inverse(add(X1,X2)))))) = n0 ),
inference(demodulation,[status(thm)],[c_6322,c_1594]) ).
cnf(c_6344,plain,
( add(X0,X1) != n0
| add(X1,add(X1,add(X0,inverse(inverse(add(X1,X1)))))) = n0 ),
inference(superposition,[status(thm)],[c_49,c_6323]) ).
cnf(c_6794,plain,
( add(X0,X1) != n0
| add(X0,inverse(inverse(X1))) = n0 ),
inference(demodulation,[status(thm)],[c_6344,c_49,c_1619,c_1808]) ).
cnf(c_6809,plain,
add(X0,inverse(inverse(add(inverse(X0),X1)))) = n0,
inference(superposition,[status(thm)],[c_1377,c_6794]) ).
cnf(c_8093,plain,
add(X0,inverse(n0)) = add(X0,X0),
inference(superposition,[status(thm)],[c_5501,c_1263]) ).
cnf(c_8116,plain,
add(X0,inverse(n0)) = X0,
inference(light_normalisation,[status(thm)],[c_8093,c_49]) ).
cnf(c_8694,plain,
add(inverse(n0),X0) = X0,
inference(superposition,[status(thm)],[c_8116,c_1456]) ).
cnf(c_10105,plain,
( add(X0,n0) != n0
| add(X1,add(inverse(add(inverse(X1),X2)),X0)) = add(X0,X1) ),
inference(superposition,[status(thm)],[c_6809,c_5466]) ).
cnf(c_10113,plain,
add(X0,add(inverse(add(inverse(X0),X1)),X2)) = add(X2,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_10105,c_709]) ).
cnf(c_12533,plain,
add(add(X0,add(X1,X2)),X3) = add(add(X0,X1),add(X2,X3)),
inference(superposition,[status(thm)],[c_1594,c_1594]) ).
cnf(c_13766,plain,
( add(add(X0,add(X1,X2)),inverse(X3)) != n0
| add(add(add(X1,X2),X0),X3) = add(X0,add(X1,X2)) ),
inference(light_normalisation,[status(thm)],[c_903,c_1609]) ).
cnf(c_13767,plain,
( add(X0,add(X1,add(X2,inverse(X3)))) != n0
| add(X1,add(X2,add(X0,X3))) = add(X0,add(X1,X2)) ),
inference(demodulation,[status(thm)],[c_13766,c_1594,c_12533]) ).
cnf(c_13814,plain,
( add(X0,add(X1,n0)) != n0
| add(X1,add(X2,add(X0,inverse(inverse(X2))))) = add(X0,add(X1,X2)) ),
inference(superposition,[status(thm)],[c_1931,c_13767]) ).
cnf(c_13843,plain,
( add(X0,n0) != n0
| add(X0,add(X1,add(X2,inverse(inverse(X1))))) = add(X2,add(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_13814,c_1580]) ).
cnf(c_13844,plain,
( add(X0,n0) != n0
| add(X0,add(X1,inverse(inverse(X2)))) = add(X1,add(X0,X2)) ),
inference(light_normalisation,[status(thm)],[c_13843,c_1809]) ).
cnf(c_13845,plain,
add(X0,add(X1,inverse(inverse(X2)))) = add(X1,add(X0,X2)),
inference(forward_subsumption_resolution,[status(thm)],[c_13844,c_709]) ).
cnf(c_13899,plain,
add(X0,add(X1,X0)) = add(X1,inverse(inverse(X0))),
inference(demodulation,[status(thm)],[c_1808,c_13845]) ).
cnf(c_13914,plain,
add(X0,inverse(inverse(X1))) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_13899,c_1472]) ).
cnf(c_15764,plain,
add(inverse(inverse(X0)),X1) = add(X1,X0),
inference(superposition,[status(thm)],[c_13914,c_1456]) ).
cnf(c_15776,plain,
add(inverse(n0),X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_13914,c_8694]) ).
cnf(c_15778,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_15776,c_8694]) ).
cnf(c_29554,plain,
( add(inverse(X0),add(X1,add(X2,X3))) != n0
| add(X1,add(X2,add(X3,X0))) = add(X2,add(X3,X1)) ),
inference(demodulation,[status(thm)],[c_928,c_1594,c_12533]) ).
cnf(c_29588,plain,
( add(inverse(X0),add(X1,X2)) != n0
| add(X1,add(X2,add(X2,X0))) = add(X2,add(X2,X1)) ),
inference(superposition,[status(thm)],[c_49,c_29554]) ).
cnf(c_30812,plain,
( add(inverse(X0),add(X1,X2)) != n0
| add(X1,add(X0,X2)) = add(X1,X2) ),
inference(demodulation,[status(thm)],[c_29588,c_1555]) ).
cnf(c_30828,plain,
add(X0,add(X1,inverse(add(inverse(X1),X0)))) = add(X0,inverse(add(inverse(X1),X0))),
inference(superposition,[status(thm)],[c_1483,c_30812]) ).
cnf(c_58723,plain,
( add(X0,X1) != n0
| add(inverse(X1),X0) = X0 ),
inference(superposition,[status(thm)],[c_15778,c_5496]) ).
cnf(c_63865,plain,
add(X0,inverse(add(inverse(X0),X1))) = add(X0,X0),
inference(superposition,[status(thm)],[c_10113,c_1263]) ).
cnf(c_63975,plain,
add(X0,inverse(add(inverse(X0),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_63865,c_49]) ).
cnf(c_65792,plain,
add(inverse(X0),inverse(add(X0,X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_15778,c_63975]) ).
cnf(c_65799,plain,
add(X0,add(inverse(add(inverse(X0),X1)),X2)) = add(X0,X2),
inference(superposition,[status(thm)],[c_63975,c_1594]) ).
cnf(c_76622,plain,
add(inverse(add(X0,inverse(X1))),X1) = X1,
inference(superposition,[status(thm)],[c_1475,c_58723]) ).
cnf(c_82497,plain,
add(X0,add(X1,inverse(add(inverse(X0),X2)))) = add(X0,X1),
inference(superposition,[status(thm)],[c_1456,c_65799]) ).
cnf(c_82620,plain,
add(X0,add(X1,inverse(add(inverse(X1),X2)))) = add(X1,X0),
inference(superposition,[status(thm)],[c_65799,c_1546]) ).
cnf(c_108936,plain,
add(X0,inverse(add(inverse(X1),X0))) = add(X1,X0),
inference(demodulation,[status(thm)],[c_30828,c_82620]) ).
cnf(c_108943,plain,
add(X0,inverse(add(X0,inverse(X1)))) = add(X1,X0),
inference(superposition,[status(thm)],[c_1456,c_108936]) ).
cnf(c_108993,plain,
add(X0,inverse(add(X1,X0))) = add(inverse(X1),X0),
inference(superposition,[status(thm)],[c_15778,c_108936]) ).
cnf(c_109445,plain,
add(X0,inverse(add(X0,X1))) = add(inverse(X1),X0),
inference(superposition,[status(thm)],[c_15778,c_108943]) ).
cnf(c_113087,plain,
add(inverse(add(X0,X1)),inverse(add(inverse(X1),X0))) = add(inverse(X0),inverse(add(X0,X1))),
inference(superposition,[status(thm)],[c_109445,c_108993]) ).
cnf(c_113225,plain,
add(inverse(add(X0,X1)),inverse(add(inverse(X1),X0))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_113087,c_65792]) ).
cnf(c_117147,plain,
add(X0,inverse(add(X1,X0))) = add(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_113225,c_82497]) ).
cnf(c_118293,plain,
add(inverse(add(X0,X1)),inverse(add(X1,inverse(X0)))) = add(inverse(X1),inverse(add(X0,X1))),
inference(superposition,[status(thm)],[c_117147,c_108993]) ).
cnf(c_118524,plain,
add(inverse(inverse(b)),inverse(add(a,inverse(b)))) != b,
inference(demodulation,[status(thm)],[c_1787,c_118293]) ).
cnf(c_119200,plain,
b != b,
inference(demodulation,[status(thm)],[c_118524,c_15764,c_76622]) ).
cnf(c_119201,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_119200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO020-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 08:22:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.41/4.71 % SZS status Started for theBenchmark.p
% 28.41/4.71 % SZS status Unsatisfiable for theBenchmark.p
% 28.41/4.71
% 28.41/4.71 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.41/4.71
% 28.41/4.71 ------ iProver source info
% 28.41/4.71
% 28.41/4.71 git: date: 2023-05-31 18:12:56 +0000
% 28.41/4.71 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.41/4.71 git: non_committed_changes: false
% 28.41/4.71 git: last_make_outside_of_git: false
% 28.41/4.71
% 28.41/4.71 ------ Parsing...successful
% 28.41/4.71
% 28.41/4.71
% 28.41/4.71
% 28.41/4.71 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 28.41/4.71
% 28.41/4.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 28.41/4.71
% 28.41/4.71 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 28.41/4.71 ------ Proving...
% 28.41/4.71 ------ Problem Properties
% 28.41/4.71
% 28.41/4.71
% 28.41/4.71 clauses 4
% 28.41/4.71 conjectures 1
% 28.41/4.71 EPR 0
% 28.41/4.71 Horn 4
% 28.41/4.71 unary 1
% 28.41/4.71 binary 2
% 28.41/4.71 lits 8
% 28.41/4.71 lits eq 8
% 28.41/4.71 fd_pure 0
% 28.41/4.71 fd_pseudo 0
% 28.41/4.71 fd_cond 0
% 28.41/4.71 fd_pseudo_cond 0
% 28.41/4.71 AC symbols 0
% 28.41/4.71
% 28.41/4.71 ------ Schedule dynamic 5 is on
% 28.41/4.71
% 28.41/4.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 28.41/4.71
% 28.41/4.71
% 28.41/4.71 ------
% 28.41/4.71 Current options:
% 28.41/4.71 ------
% 28.41/4.71
% 28.41/4.71
% 28.41/4.71
% 28.41/4.71
% 28.41/4.71 ------ Proving...
% 28.41/4.71
% 28.41/4.71
% 28.41/4.71 % SZS status Unsatisfiable for theBenchmark.p
% 28.41/4.71
% 28.41/4.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.41/4.72
% 28.41/4.72
%------------------------------------------------------------------------------