TSTP Solution File: SYN015-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN015-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Fri May 3 03:28:37 EDT 2024
% Result : Unsatisfiable 2.03s 1.06s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 18
% Syntax : Number of clauses : 145 ( 15 unt; 112 nHn; 139 RR)
% Number of literals : 522 ( 349 equ; 128 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
m != n,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_1) ).
cnf(c_50,negated_conjecture,
( X0 != k
| X0 = j
| element(X0,j) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_2) ).
cnf(c_51,negated_conjecture,
( ~ element(X0,j)
| X0 = j
| X0 = k ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_3) ).
cnf(c_52,negated_conjecture,
( f(X0) != m
| ~ element(X0,m)
| X0 = m ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_4) ).
cnf(c_53,negated_conjecture,
( f(X0) != X0
| ~ element(X0,m)
| X0 = m ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_5) ).
cnf(c_54,negated_conjecture,
( ~ element(X0,m)
| X0 = m
| element(X0,f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_6) ).
cnf(c_55,negated_conjecture,
( ~ element(X0,m)
| X0 = m
| element(f(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_7) ).
cnf(c_56,negated_conjecture,
( ~ element(X0,X1)
| ~ element(X1,X0)
| X0 = X1
| X0 = m
| X1 = m
| element(X0,m) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_8) ).
cnf(c_57,negated_conjecture,
( g(X0) != n
| X0 = n
| element(X0,n) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_9) ).
cnf(c_58,negated_conjecture,
( g(X0) != X0
| X0 = n
| element(X0,n) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_10) ).
cnf(c_59,negated_conjecture,
( X0 = n
| element(X0,g(X0))
| element(X0,n) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_11) ).
cnf(c_60,negated_conjecture,
( X0 = n
| element(g(X0),X0)
| element(X0,n) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).
cnf(c_61,negated_conjecture,
( ~ element(X0,X1)
| ~ element(X1,X0)
| ~ element(X0,n)
| X0 = X1
| X0 = n
| X1 = n ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_13) ).
cnf(c_62,negated_conjecture,
( X0 != m
| X0 = k
| element(X0,k) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).
cnf(c_63,negated_conjecture,
( X0 != n
| X0 = k
| element(X0,k) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_15) ).
cnf(c_64,negated_conjecture,
( ~ element(X0,k)
| X0 = m
| X0 = n
| X0 = k ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_16) ).
cnf(c_65,negated_conjecture,
( n = k
| element(n,k) ),
inference(unflattening,[status(thm)],[c_63]) ).
cnf(c_66,negated_conjecture,
( m = k
| element(m,k) ),
inference(unflattening,[status(thm)],[c_62]) ).
cnf(c_67,negated_conjecture,
( k = j
| element(k,j) ),
inference(unflattening,[status(thm)],[c_50]) ).
cnf(c_278,negated_conjecture,
( k = j
| element(k,j) ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_279,negated_conjecture,
( m = k
| element(m,k) ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_280,negated_conjecture,
( n = k
| element(n,k) ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_281,negated_conjecture,
( ~ element(X0,k)
| X0 = m
| X0 = n
| X0 = k ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_282,negated_conjecture,
( ~ element(X0,X1)
| ~ element(X1,X0)
| ~ element(X0,n)
| X0 = X1
| X0 = n
| X1 = n ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_283,negated_conjecture,
( X0 = n
| element(g(X0),X0)
| element(X0,n) ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_284,negated_conjecture,
( X0 = n
| element(X0,g(X0))
| element(X0,n) ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_285,negated_conjecture,
( g(X0) != X0
| X0 = n
| element(X0,n) ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_286,negated_conjecture,
( g(X0) != n
| X0 = n
| element(X0,n) ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_287,negated_conjecture,
( ~ element(X0,X1)
| ~ element(X1,X0)
| X0 = X1
| X0 = m
| X1 = m
| element(X0,m) ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_288,negated_conjecture,
( ~ element(X0,m)
| X0 = m
| element(f(X0),X0) ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_289,negated_conjecture,
( ~ element(X0,m)
| X0 = m
| element(X0,f(X0)) ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_290,negated_conjecture,
( f(X0) != X0
| ~ element(X0,m)
| X0 = m ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_291,negated_conjecture,
( f(X0) != m
| ~ element(X0,m)
| X0 = m ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_292,negated_conjecture,
( ~ element(X0,j)
| X0 = j
| X0 = k ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_293,negated_conjecture,
m != n,
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_294,plain,
X0 = X0,
theory(equality) ).
cnf(c_296,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_298,plain,
m = m,
inference(instantiation,[status(thm)],[c_294]) ).
cnf(c_576,plain,
( ~ element(k,m)
| f(k) = m
| f(k) = n
| f(k) = k
| m = k ),
inference(superposition,[status(thm)],[c_288,c_281]) ).
cnf(c_577,plain,
( g(k) = m
| g(k) = n
| g(k) = k
| n = k
| element(k,n) ),
inference(superposition,[status(thm)],[c_283,c_281]) ).
cnf(c_597,plain,
( g(j) = j
| g(j) = k
| n = j
| element(j,n) ),
inference(superposition,[status(thm)],[c_283,c_292]) ).
cnf(c_670,plain,
( ~ element(X0,f(X0))
| ~ element(X0,m)
| f(X0) = X0
| f(X0) = m
| X0 = m
| element(f(X0),m) ),
inference(superposition,[status(thm)],[c_288,c_287]) ).
cnf(c_671,plain,
( ~ element(g(X0),X0)
| g(X0) = X0
| g(X0) = m
| X0 = m
| X0 = n
| element(X0,m)
| element(X0,n) ),
inference(superposition,[status(thm)],[c_284,c_287]) ).
cnf(c_735,plain,
( ~ element(f(X0),X0)
| ~ element(X0,m)
| ~ element(X0,n)
| f(X0) = X0
| f(X0) = n
| X0 = m
| X0 = n ),
inference(superposition,[status(thm)],[c_289,c_282]) ).
cnf(c_840,plain,
( ~ element(X0,m)
| X0 = m
| element(f(X0),m) ),
inference(global_subsumption_just,[status(thm)],[c_670,c_54,c_53,c_52,c_670]) ).
cnf(c_848,plain,
( ~ element(f(X0),n)
| ~ element(m,f(X0))
| ~ element(X0,m)
| f(X0) = m
| f(X0) = n
| X0 = m
| m = n ),
inference(superposition,[status(thm)],[c_840,c_282]) ).
cnf(c_850,plain,
( ~ element(f(X0),n)
| ~ element(m,f(X0))
| ~ element(X0,m)
| f(X0) = m
| f(X0) = n
| X0 = m ),
inference(forward_subsumption_resolution,[status(thm)],[c_848,c_293]) ).
cnf(c_858,plain,
( m != X0
| n != X0
| m = n ),
inference(instantiation,[status(thm)],[c_296]) ).
cnf(c_859,plain,
( m != m
| n != m
| m = n ),
inference(instantiation,[status(thm)],[c_858]) ).
cnf(c_871,plain,
( ~ element(X0,m)
| ~ element(m,f(X0))
| ~ element(f(X0),n)
| f(X0) = n
| X0 = m ),
inference(global_subsumption_just,[status(thm)],[c_850,c_52,c_850]) ).
cnf(c_872,plain,
( ~ element(f(X0),n)
| ~ element(m,f(X0))
| ~ element(X0,m)
| f(X0) = n
| X0 = m ),
inference(renaming,[status(thm)],[c_871]) ).
cnf(c_883,plain,
( ~ element(m,f(n))
| ~ element(n,m)
| f(n) = n
| m = n ),
inference(superposition,[status(thm)],[c_288,c_872]) ).
cnf(c_884,plain,
( ~ element(m,f(n))
| ~ element(n,m)
| f(n) = n ),
inference(forward_subsumption_resolution,[status(thm)],[c_883,c_293]) ).
cnf(c_894,plain,
( f(n) != n
| ~ element(n,m)
| n = m ),
inference(instantiation,[status(thm)],[c_290]) ).
cnf(c_895,plain,
( ~ element(n,m)
| n = m
| element(n,f(n)) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_896,plain,
( ~ element(n,m)
| n = m
| element(f(n),n) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_898,plain,
( f(n) != m
| ~ element(n,m)
| n = m ),
inference(instantiation,[status(thm)],[c_291]) ).
cnf(c_902,plain,
( ~ element(n,m)
| ~ element(m,f(n)) ),
inference(global_subsumption_just,[status(thm)],[c_884,c_49,c_298,c_859,c_884,c_894]) ).
cnf(c_903,plain,
( ~ element(m,f(n))
| ~ element(n,m) ),
inference(renaming,[status(thm)],[c_902]) ).
cnf(c_908,plain,
( g(X0) = m
| X0 = m
| X0 = n
| element(X0,m)
| element(X0,n) ),
inference(global_subsumption_just,[status(thm)],[c_671,c_60,c_58,c_671]) ).
cnf(c_921,plain,
( ~ element(n,X0)
| g(X0) = m
| X0 = m
| X0 = n
| m = n
| element(X0,m) ),
inference(superposition,[status(thm)],[c_908,c_287]) ).
cnf(c_930,plain,
( ~ element(n,X0)
| g(X0) = m
| X0 = m
| X0 = n
| element(X0,m) ),
inference(forward_subsumption_resolution,[status(thm)],[c_921,c_293]) ).
cnf(c_995,plain,
( g(k) = m
| m = k
| n = k
| element(k,m) ),
inference(superposition,[status(thm)],[c_280,c_930]) ).
cnf(c_1014,plain,
( ~ element(m,k)
| ~ element(k,n)
| g(k) = m
| m = n
| m = k
| n = k ),
inference(superposition,[status(thm)],[c_995,c_282]) ).
cnf(c_1016,plain,
( f(k) = m
| f(k) = n
| f(k) = k
| g(k) = m
| m = k
| n = k ),
inference(superposition,[status(thm)],[c_995,c_576]) ).
cnf(c_1022,plain,
( ~ element(m,k)
| ~ element(k,n)
| g(k) = m
| m = k
| n = k ),
inference(forward_subsumption_resolution,[status(thm)],[c_1014,c_293]) ).
cnf(c_1043,plain,
( ~ element(k,n)
| g(k) = m
| m = k
| n = k ),
inference(global_subsumption_just,[status(thm)],[c_1022,c_66,c_1022]) ).
cnf(c_1054,plain,
( g(k) = m
| g(k) = n
| g(k) = k
| m = k
| n = k ),
inference(superposition,[status(thm)],[c_577,c_1043]) ).
cnf(c_1094,plain,
( ~ element(X0,n)
| ~ element(X0,m)
| f(X0) = n
| X0 = m
| X0 = n ),
inference(global_subsumption_just,[status(thm)],[c_735,c_55,c_53,c_735]) ).
cnf(c_1095,plain,
( ~ element(X0,m)
| ~ element(X0,n)
| f(X0) = n
| X0 = m
| X0 = n ),
inference(renaming,[status(thm)],[c_1094]) ).
cnf(c_1106,plain,
( ~ element(f(n),m)
| ~ element(n,m)
| f(f(n)) = n
| f(n) = m
| f(n) = n
| m = n ),
inference(superposition,[status(thm)],[c_288,c_1095]) ).
cnf(c_1117,plain,
( ~ element(f(n),m)
| ~ element(n,m)
| f(f(n)) = n
| f(n) = m
| f(n) = n ),
inference(forward_subsumption_resolution,[status(thm)],[c_1106,c_293]) ).
cnf(c_1124,plain,
( X0 != X1
| n != X1
| X0 = n ),
inference(instantiation,[status(thm)],[c_296]) ).
cnf(c_1127,plain,
( ~ element(f(n),m)
| ~ element(n,m)
| f(f(n)) = n ),
inference(global_subsumption_just,[status(thm)],[c_1117,c_49,c_298,c_859,c_898,c_894,c_1117]) ).
cnf(c_1135,plain,
( ~ element(n,m)
| f(f(n)) = n
| m = n ),
inference(superposition,[status(thm)],[c_840,c_1127]) ).
cnf(c_1137,plain,
( ~ element(n,m)
| f(f(n)) = n ),
inference(forward_subsumption_resolution,[status(thm)],[c_1135,c_293]) ).
cnf(c_1162,plain,
( f(k) = m
| f(k) = n
| f(k) = k
| m = k
| n = k
| element(k,m)
| element(k,n) ),
inference(superposition,[status(thm)],[c_1016,c_284]) ).
cnf(c_1185,plain,
( n = k
| m = k
| f(k) = k
| f(k) = n
| f(k) = m
| element(k,n) ),
inference(global_subsumption_just,[status(thm)],[c_1162,c_576,c_1162]) ).
cnf(c_1186,plain,
( f(k) = m
| f(k) = n
| f(k) = k
| m = k
| n = k
| element(k,n) ),
inference(renaming,[status(thm)],[c_1185]) ).
cnf(c_1200,plain,
( ~ element(n,k)
| f(k) = m
| f(k) = n
| f(k) = k
| m = n
| m = k
| n = k
| element(k,m) ),
inference(superposition,[status(thm)],[c_1186,c_287]) ).
cnf(c_1210,plain,
( ~ element(n,k)
| f(k) = m
| f(k) = n
| f(k) = k
| m = k
| n = k
| element(k,m) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1200,c_293]) ).
cnf(c_1220,plain,
( n = k
| m = k
| f(k) = k
| f(k) = n
| f(k) = m ),
inference(global_subsumption_just,[status(thm)],[c_1210,c_65,c_576,c_1210]) ).
cnf(c_1221,plain,
( f(k) = m
| f(k) = n
| f(k) = k
| m = k
| n = k ),
inference(renaming,[status(thm)],[c_1220]) ).
cnf(c_1235,plain,
( ~ element(k,m)
| f(k) = m
| f(k) = n
| m = k
| n = k ),
inference(superposition,[status(thm)],[c_1221,c_290]) ).
cnf(c_1279,plain,
( g(k) = m
| g(k) = n
| m = k
| n = k
| element(k,n) ),
inference(superposition,[status(thm)],[c_1054,c_285]) ).
cnf(c_1296,plain,
( n = k
| m = k
| g(k) = n
| g(k) = m ),
inference(global_subsumption_just,[status(thm)],[c_1279,c_66,c_1022,c_1279]) ).
cnf(c_1297,plain,
( g(k) = m
| g(k) = n
| m = k
| n = k ),
inference(renaming,[status(thm)],[c_1296]) ).
cnf(c_1310,plain,
( g(k) = m
| m = k
| n = k
| element(k,n) ),
inference(superposition,[status(thm)],[c_1297,c_284]) ).
cnf(c_1321,plain,
( n = k
| m = k
| g(k) = m ),
inference(global_subsumption_just,[status(thm)],[c_1310,c_66,c_1022,c_1310]) ).
cnf(c_1322,plain,
( g(k) = m
| m = k
| n = k ),
inference(renaming,[status(thm)],[c_1321]) ).
cnf(c_1333,plain,
( m = k
| n = k
| element(k,m)
| element(k,n) ),
inference(superposition,[status(thm)],[c_1322,c_284]) ).
cnf(c_1356,plain,
( ~ element(n,k)
| m = n
| m = k
| n = k
| element(k,m) ),
inference(superposition,[status(thm)],[c_1333,c_287]) ).
cnf(c_1363,plain,
( ~ element(n,k)
| m = k
| n = k
| element(k,m) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1356,c_293]) ).
cnf(c_1370,plain,
( m = k
| n = k
| element(k,m) ),
inference(global_subsumption_just,[status(thm)],[c_1363,c_65,c_1363]) ).
cnf(c_1379,plain,
( f(k) = m
| f(k) = n
| m = k
| n = k ),
inference(backward_subsumption_resolution,[status(thm)],[c_1235,c_1370]) ).
cnf(c_1387,plain,
( ~ element(m,k)
| ~ element(k,n)
| m = n
| m = k
| n = k ),
inference(superposition,[status(thm)],[c_1370,c_282]) ).
cnf(c_1390,plain,
( ~ element(m,k)
| ~ element(k,n)
| m = k
| n = k ),
inference(forward_subsumption_resolution,[status(thm)],[c_1387,c_293]) ).
cnf(c_1395,plain,
( ~ element(k,n)
| m = k
| n = k ),
inference(global_subsumption_just,[status(thm)],[c_1390,c_66,c_1390]) ).
cnf(c_1455,plain,
( ~ element(k,m)
| f(k) = m
| m = k
| n = k
| element(k,n) ),
inference(superposition,[status(thm)],[c_1379,c_289]) ).
cnf(c_1467,plain,
( n = k
| m = k
| f(k) = m ),
inference(global_subsumption_just,[status(thm)],[c_1455,c_1370,c_1395,c_1455]) ).
cnf(c_1468,plain,
( f(k) = m
| m = k
| n = k ),
inference(renaming,[status(thm)],[c_1467]) ).
cnf(c_1478,plain,
( ~ element(k,m)
| m = k
| n = k ),
inference(superposition,[status(thm)],[c_1468,c_291]) ).
cnf(c_1580,plain,
( m = k
| n = k ),
inference(global_subsumption_just,[status(thm)],[c_1478,c_1370,c_1478]) ).
cnf(c_1590,plain,
( ~ element(X0,n)
| X0 = m
| X0 = n
| X0 = k
| m = k ),
inference(superposition,[status(thm)],[c_1580,c_281]) ).
cnf(c_1592,plain,
( m = k
| element(m,n) ),
inference(superposition,[status(thm)],[c_1580,c_279]) ).
cnf(c_1593,plain,
( m = k
| j = k
| element(n,j) ),
inference(superposition,[status(thm)],[c_1580,c_278]) ).
cnf(c_1672,plain,
( X0 != k
| n != k
| X0 = n ),
inference(instantiation,[status(thm)],[c_1124]) ).
cnf(c_1682,plain,
( X0 = n
| X0 = m
| ~ element(X0,n)
| m = k ),
inference(global_subsumption_just,[status(thm)],[c_1590,c_1580,c_1590,c_1672]) ).
cnf(c_1683,plain,
( ~ element(X0,n)
| X0 = m
| X0 = n
| m = k ),
inference(renaming,[status(thm)],[c_1682]) ).
cnf(c_1692,plain,
( ~ element(n,m)
| f(n) = m
| f(n) = n
| m = n
| m = k ),
inference(superposition,[status(thm)],[c_288,c_1683]) ).
cnf(c_1697,plain,
( g(j) = j
| g(j) = k
| m = j
| m = k
| n = j ),
inference(superposition,[status(thm)],[c_597,c_1683]) ).
cnf(c_1708,plain,
( ~ element(n,m)
| f(n) = m
| f(n) = n
| m = k ),
inference(forward_subsumption_resolution,[status(thm)],[c_1692,c_293]) ).
cnf(c_1735,plain,
( ~ element(n,m)
| m = k ),
inference(global_subsumption_just,[status(thm)],[c_1708,c_49,c_298,c_859,c_898,c_894,c_1708]) ).
cnf(c_1816,plain,
( g(j) = k
| m = j
| m = k
| n = j
| element(j,n) ),
inference(superposition,[status(thm)],[c_1697,c_285]) ).
cnf(c_1862,plain,
( g(j) = k
| m = j
| m = k
| n = j ),
inference(superposition,[status(thm)],[c_1816,c_1683]) ).
cnf(c_1880,plain,
( n != k
| m = j
| m = k
| n = j
| element(j,n) ),
inference(superposition,[status(thm)],[c_1862,c_286]) ).
cnf(c_1882,plain,
( m = j
| m = k
| n = j
| element(j,n)
| element(j,k) ),
inference(superposition,[status(thm)],[c_1862,c_284]) ).
cnf(c_1915,plain,
( element(j,n)
| n = j
| m = k
| m = j ),
inference(global_subsumption_just,[status(thm)],[c_1882,c_1580,c_1880]) ).
cnf(c_1916,plain,
( m = j
| m = k
| n = j
| element(j,n) ),
inference(renaming,[status(thm)],[c_1915]) ).
cnf(c_1932,plain,
( m = j
| m = k
| n = j ),
inference(superposition,[status(thm)],[c_1916,c_1683]) ).
cnf(c_1945,plain,
( m = j
| m = k
| j = k
| element(n,n) ),
inference(superposition,[status(thm)],[c_1932,c_1593]) ).
cnf(c_1951,plain,
( ~ element(X0,n)
| X0 = j
| X0 = k
| m = j
| m = k ),
inference(superposition,[status(thm)],[c_1932,c_292]) ).
cnf(c_1981,plain,
( ~ element(m,n)
| m = j
| m = k ),
inference(instantiation,[status(thm)],[c_1951]) ).
cnf(c_1988,plain,
( m = j
| m = k ),
inference(global_subsumption_just,[status(thm)],[c_1945,c_1592,c_1981]) ).
cnf(c_1994,plain,
( m = k
| j = k
| element(n,m) ),
inference(superposition,[status(thm)],[c_1988,c_1593]) ).
cnf(c_2023,plain,
( j = k
| m = k ),
inference(global_subsumption_just,[status(thm)],[c_1994,c_1735,c_1994]) ).
cnf(c_2024,plain,
( m = k
| j = k ),
inference(renaming,[status(thm)],[c_2023]) ).
cnf(c_2029,plain,
m = k,
inference(superposition,[status(thm)],[c_1988,c_2024]) ).
cnf(c_2043,plain,
( ~ element(X0,m)
| X0 = m
| X0 = n ),
inference(demodulation,[status(thm)],[c_281,c_2029]) ).
cnf(c_2044,plain,
( m = n
| element(n,m) ),
inference(demodulation,[status(thm)],[c_280,c_2029]) ).
cnf(c_2048,plain,
element(n,m),
inference(forward_subsumption_resolution,[status(thm)],[c_2044,c_293]) ).
cnf(c_2049,plain,
f(f(n)) = n,
inference(backward_subsumption_resolution,[status(thm)],[c_1137,c_2048]) ).
cnf(c_2051,plain,
~ element(m,f(n)),
inference(backward_subsumption_resolution,[status(thm)],[c_903,c_2048]) ).
cnf(c_2158,plain,
( f(n) != n
| ~ element(f(n),m)
| f(n) = m ),
inference(superposition,[status(thm)],[c_2049,c_290]) ).
cnf(c_2159,plain,
( ~ element(f(n),m)
| f(n) = m
| element(f(n),n) ),
inference(superposition,[status(thm)],[c_2049,c_289]) ).
cnf(c_2180,plain,
element(f(n),n),
inference(global_subsumption_just,[status(thm)],[c_2159,c_49,c_298,c_859,c_896,c_2048]) ).
cnf(c_2183,plain,
( ~ element(n,f(n))
| f(n) = m
| f(n) = n
| m = n
| element(f(n),m) ),
inference(superposition,[status(thm)],[c_2180,c_287]) ).
cnf(c_2185,plain,
( ~ element(n,f(n))
| f(n) = m
| f(n) = n
| element(f(n),m) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2183,c_293]) ).
cnf(c_2194,plain,
f(n) != n,
inference(global_subsumption_just,[status(thm)],[c_2158,c_49,c_298,c_859,c_894,c_2048]) ).
cnf(c_2196,plain,
element(f(n),m),
inference(global_subsumption_just,[status(thm)],[c_2185,c_49,c_298,c_859,c_898,c_895,c_894,c_2048,c_2185]) ).
cnf(c_2198,plain,
( f(n) = m
| f(n) = n ),
inference(superposition,[status(thm)],[c_2196,c_2043]) ).
cnf(c_2201,plain,
f(n) = m,
inference(forward_subsumption_resolution,[status(thm)],[c_2198,c_2194]) ).
cnf(c_2202,plain,
element(m,m),
inference(demodulation,[status(thm)],[c_2196,c_2201]) ).
cnf(c_2207,plain,
~ element(m,m),
inference(demodulation,[status(thm)],[c_2051,c_2201]) ).
cnf(c_2208,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2202,c_2207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN015-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu May 2 21:01:08 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.03/1.06 % SZS status Started for theBenchmark.p
% 2.03/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.06
% 2.03/1.06 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.03/1.06
% 2.03/1.06 ------ iProver source info
% 2.03/1.06
% 2.03/1.06 git: date: 2024-05-02 19:28:25 +0000
% 2.03/1.06 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.03/1.06 git: non_committed_changes: false
% 2.03/1.06
% 2.03/1.06 ------ Parsing...successful
% 2.03/1.06
% 2.03/1.06
% 2.03/1.06
% 2.03/1.06 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.03/1.06
% 2.03/1.06 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.03/1.06
% 2.03/1.06 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.03/1.06 ------ Proving...
% 2.03/1.06 ------ Problem Properties
% 2.03/1.06
% 2.03/1.06
% 2.03/1.06 clauses 16
% 2.03/1.06 conjectures 16
% 2.03/1.06 EPR 8
% 2.03/1.06 Horn 3
% 2.03/1.06 unary 1
% 2.03/1.06 binary 3
% 2.03/1.06 lits 50
% 2.03/1.06 lits eq 27
% 2.03/1.06 fd_pure 0
% 2.03/1.06 fd_pseudo 0
% 2.03/1.06 fd_cond 10
% 2.03/1.06 fd_pseudo_cond 2
% 2.03/1.06 AC symbols 0
% 2.03/1.06
% 2.03/1.06 ------ Schedule dynamic 5 is on
% 2.03/1.06
% 2.03/1.06 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.03/1.06
% 2.03/1.06
% 2.03/1.06 ------
% 2.03/1.06 Current options:
% 2.03/1.06 ------
% 2.03/1.06
% 2.03/1.06
% 2.03/1.06
% 2.03/1.06
% 2.03/1.06 ------ Proving...
% 2.03/1.06
% 2.03/1.06
% 2.03/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.06
% 2.03/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.03/1.06
% 2.03/1.06
%------------------------------------------------------------------------------