TSTP Solution File: ANA003-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ANA003-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 17:17:55 EDT 2023
% Result : Unsatisfiable 10.14s 5.16s
% Output : CNFRefutation 10.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of clauses : 51 ( 2 unt; 0 nHn; 51 RR)
% Number of literals : 139 ( 0 equ; 106 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_52,plain,
( ~ less_than(X0,X1)
| ~ less_than(X1,X2)
| less_than(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_than) ).
cnf(c_53,plain,
( ~ less_than(n0,X0)
| ~ less_than(n0,X1)
| less_than(n0,minimum(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_1) ).
cnf(c_54,plain,
( ~ less_than(n0,X0)
| ~ less_than(n0,X1)
| less_than(minimum(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_2) ).
cnf(c_55,plain,
( ~ less_than(n0,X0)
| ~ less_than(n0,X1)
| less_than(minimum(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_3) ).
cnf(c_56,plain,
( ~ less_than(X0,half(X1))
| ~ less_than(X2,half(X1))
| less_than(add(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(c_58,plain,
( ~ less_than(n0,X0)
| less_than(n0,half(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(c_59,negated_conjecture,
( ~ less_than(n0,X0)
| less_than(n0,fp31(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_10) ).
cnf(c_60,negated_conjecture,
( ~ less_than(absolute(add(X0,minus(a))),fp31(X1))
| ~ less_than(n0,X1)
| less_than(absolute(add(f(X0),minus(l1))),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_11) ).
cnf(c_61,negated_conjecture,
( ~ less_than(n0,X0)
| less_than(n0,fp32(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_12) ).
cnf(c_62,negated_conjecture,
( ~ less_than(absolute(add(X0,minus(a))),fp32(X1))
| ~ less_than(n0,X1)
| less_than(absolute(add(g(X0),minus(l2))),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_13) ).
cnf(c_63,negated_conjecture,
less_than(n0,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_14) ).
cnf(c_64,negated_conjecture,
( ~ less_than(n0,X0)
| less_than(absolute(add(fp33(X0),minus(a))),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_15) ).
cnf(c_65,negated_conjecture,
( ~ less_than(add(absolute(add(f(fp33(X0)),minus(l1))),absolute(add(g(fp33(X0)),minus(l2)))),b)
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_16) ).
cnf(c_214,negated_conjecture,
( ~ less_than(add(absolute(add(f(fp33(X0_13)),minus(l1))),absolute(add(g(fp33(X0_13)),minus(l2)))),b)
| ~ less_than(n0,X0_13) ),
inference(subtyping,[status(esa)],[c_65]) ).
cnf(c_215,negated_conjecture,
( ~ less_than(n0,X0_13)
| less_than(absolute(add(fp33(X0_13),minus(a))),X0_13) ),
inference(subtyping,[status(esa)],[c_64]) ).
cnf(c_217,negated_conjecture,
( ~ less_than(absolute(add(X0_13,minus(a))),fp32(X1_13))
| ~ less_than(n0,X1_13)
| less_than(absolute(add(g(X0_13),minus(l2))),X1_13) ),
inference(subtyping,[status(esa)],[c_62]) ).
cnf(c_218,negated_conjecture,
( ~ less_than(n0,X0_13)
| less_than(n0,fp32(X0_13)) ),
inference(subtyping,[status(esa)],[c_61]) ).
cnf(c_219,negated_conjecture,
( ~ less_than(absolute(add(X0_13,minus(a))),fp31(X1_13))
| ~ less_than(n0,X1_13)
| less_than(absolute(add(f(X0_13),minus(l1))),X1_13) ),
inference(subtyping,[status(esa)],[c_60]) ).
cnf(c_220,negated_conjecture,
( ~ less_than(n0,X0_13)
| less_than(n0,fp31(X0_13)) ),
inference(subtyping,[status(esa)],[c_59]) ).
cnf(c_221,plain,
( ~ less_than(n0,X0_13)
| less_than(n0,half(X0_13)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_223,plain,
( ~ less_than(X0_13,half(X1_13))
| ~ less_than(X2_13,half(X1_13))
| less_than(add(X0_13,X2_13),X1_13) ),
inference(subtyping,[status(esa)],[c_56]) ).
cnf(c_224,plain,
( ~ less_than(n0,X0_13)
| ~ less_than(n0,X1_13)
| less_than(minimum(X0_13,X1_13),X1_13) ),
inference(subtyping,[status(esa)],[c_55]) ).
cnf(c_225,plain,
( ~ less_than(n0,X0_13)
| ~ less_than(n0,X1_13)
| less_than(minimum(X0_13,X1_13),X0_13) ),
inference(subtyping,[status(esa)],[c_54]) ).
cnf(c_226,plain,
( ~ less_than(n0,X0_13)
| ~ less_than(n0,X1_13)
| less_than(n0,minimum(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_53]) ).
cnf(c_227,plain,
( ~ less_than(X0_13,X1_13)
| ~ less_than(X1_13,X2_13)
| less_than(X0_13,X2_13) ),
inference(subtyping,[status(esa)],[c_52]) ).
cnf(c_244,plain,
( ~ less_than(n0,half(X0_13))
| less_than(n0,fp32(half(X0_13))) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_250,plain,
( ~ less_than(n0,half(X0_13))
| less_than(n0,fp31(half(X0_13))) ),
inference(instantiation,[status(thm)],[c_220]) ).
cnf(c_322,plain,
( ~ less_than(n0,b)
| less_than(n0,half(b)) ),
inference(instantiation,[status(thm)],[c_221]) ).
cnf(c_358,plain,
( ~ less_than(X0_13,X1_13)
| ~ less_than(n0,X0_13)
| less_than(absolute(add(fp33(X0_13),minus(a))),X1_13) ),
inference(superposition,[status(thm)],[c_215,c_227]) ).
cnf(c_404,plain,
( ~ less_than(X0_13,fp32(X1_13))
| ~ less_than(n0,X0_13)
| ~ less_than(n0,X1_13)
| less_than(absolute(add(g(fp33(X0_13)),minus(l2))),X1_13) ),
inference(superposition,[status(thm)],[c_358,c_217]) ).
cnf(c_405,plain,
( ~ less_than(X0_13,fp31(X1_13))
| ~ less_than(n0,X0_13)
| ~ less_than(n0,X1_13)
| less_than(absolute(add(f(fp33(X0_13)),minus(l1))),X1_13) ),
inference(superposition,[status(thm)],[c_358,c_219]) ).
cnf(c_585,plain,
( ~ less_than(n0,half(b))
| less_than(n0,fp31(half(b))) ),
inference(instantiation,[status(thm)],[c_250]) ).
cnf(c_586,plain,
( ~ less_than(n0,half(b))
| less_than(n0,fp32(half(b))) ),
inference(instantiation,[status(thm)],[c_244]) ).
cnf(c_864,plain,
( ~ less_than(absolute(add(f(fp33(X0_13)),minus(l1))),half(b))
| ~ less_than(absolute(add(g(fp33(X0_13)),minus(l2))),half(b))
| ~ less_than(n0,X0_13) ),
inference(superposition,[status(thm)],[c_223,c_214]) ).
cnf(c_960,plain,
( ~ less_than(absolute(add(g(fp33(X0_13)),minus(l2))),half(b))
| ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(n0,half(b))
| ~ less_than(n0,X0_13) ),
inference(superposition,[status(thm)],[c_405,c_864]) ).
cnf(c_1863,plain,
( ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,X0_13)
| less_than(n0,minimum(X0_13,fp31(half(b)))) ),
inference(instantiation,[status(thm)],[c_226]) ).
cnf(c_2848,plain,
( ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(absolute(add(g(fp33(X0_13)),minus(l2))),half(b))
| ~ less_than(n0,X0_13) ),
inference(global_subsumption_just,[status(thm)],[c_960,c_63,c_322,c_960]) ).
cnf(c_2849,plain,
( ~ less_than(absolute(add(g(fp33(X0_13)),minus(l2))),half(b))
| ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(n0,X0_13) ),
inference(renaming,[status(thm)],[c_2848]) ).
cnf(c_2850,plain,
( ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(X0_13,fp32(half(b)))
| ~ less_than(n0,half(b))
| ~ less_than(n0,X0_13) ),
inference(superposition,[status(thm)],[c_404,c_2849]) ).
cnf(c_2881,plain,
( ~ less_than(X0_13,fp32(half(b)))
| ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(n0,X0_13) ),
inference(global_subsumption_just,[status(thm)],[c_2850,c_63,c_322,c_2850]) ).
cnf(c_2882,plain,
( ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(X0_13,fp32(half(b)))
| ~ less_than(n0,X0_13) ),
inference(renaming,[status(thm)],[c_2881]) ).
cnf(c_2886,plain,
( ~ less_than(minimum(X0_13,fp31(half(b))),fp32(half(b)))
| ~ less_than(n0,minimum(X0_13,fp31(half(b))))
| ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,X0_13) ),
inference(superposition,[status(thm)],[c_224,c_2882]) ).
cnf(c_8986,plain,
( ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(absolute(add(g(fp33(X0_13)),minus(l2))),half(b))
| ~ less_than(n0,X0_13) ),
inference(global_subsumption_just,[status(thm)],[c_960,c_63,c_322,c_960]) ).
cnf(c_8987,plain,
( ~ less_than(absolute(add(g(fp33(X0_13)),minus(l2))),half(b))
| ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(n0,X0_13) ),
inference(renaming,[status(thm)],[c_8986]) ).
cnf(c_8988,plain,
( ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(X0_13,fp32(half(b)))
| ~ less_than(n0,half(b))
| ~ less_than(n0,X0_13) ),
inference(superposition,[status(thm)],[c_404,c_8987]) ).
cnf(c_8995,plain,
( ~ less_than(X0_13,fp32(half(b)))
| ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(n0,X0_13) ),
inference(global_subsumption_just,[status(thm)],[c_8988,c_2882]) ).
cnf(c_8996,plain,
( ~ less_than(X0_13,fp31(half(b)))
| ~ less_than(X0_13,fp32(half(b)))
| ~ less_than(n0,X0_13) ),
inference(renaming,[status(thm)],[c_8995]) ).
cnf(c_9000,plain,
( ~ less_than(minimum(X0_13,fp31(half(b))),fp32(half(b)))
| ~ less_than(n0,minimum(X0_13,fp31(half(b))))
| ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,X0_13) ),
inference(superposition,[status(thm)],[c_224,c_8996]) ).
cnf(c_16016,plain,
( ~ less_than(minimum(X0_13,fp31(half(b))),fp32(half(b)))
| ~ less_than(n0,X0_13) ),
inference(global_subsumption_just,[status(thm)],[c_9000,c_63,c_322,c_585,c_1863,c_2886]) ).
cnf(c_16018,plain,
( ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b))) ),
inference(superposition,[status(thm)],[c_225,c_16016]) ).
cnf(c_16021,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16018,c_585,c_586,c_322,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.81 % Problem : ANA003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.87 % Command : run_iprover %s %d THM
% 0.11/1.27 % Computer : n009.cluster.edu
% 0.11/1.27 % Model : x86_64 x86_64
% 0.11/1.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.27 % Memory : 8042.1875MB
% 0.11/1.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.27 % CPULimit : 300
% 0.11/1.27 % WCLimit : 300
% 0.11/1.27 % DateTime : Fri Aug 25 18:42:52 EDT 2023
% 0.11/1.29 % CPUTime :
% 0.25/2.32 Running first-order theorem proving
% 0.25/2.32 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.14/5.16 % SZS status Started for theBenchmark.p
% 10.14/5.16 % SZS status Unsatisfiable for theBenchmark.p
% 10.14/5.16
% 10.14/5.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.14/5.16
% 10.14/5.16 ------ iProver source info
% 10.14/5.16
% 10.14/5.16 git: date: 2023-05-31 18:12:56 +0000
% 10.14/5.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.14/5.16 git: non_committed_changes: false
% 10.14/5.16 git: last_make_outside_of_git: false
% 10.14/5.16
% 10.14/5.16 ------ Parsing...successful
% 10.14/5.16
% 10.14/5.16
% 10.14/5.16
% 10.14/5.16 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 10.14/5.16
% 10.14/5.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.14/5.16 ------ Proving...
% 10.14/5.16 ------ Problem Properties
% 10.14/5.16
% 10.14/5.16
% 10.14/5.16 clauses 15
% 10.14/5.16 conjectures 7
% 10.14/5.16 EPR 3
% 10.14/5.16 Horn 15
% 10.14/5.16 unary 2
% 10.14/5.16 binary 6
% 10.14/5.16 lits 35
% 10.14/5.16 lits eq 0
% 10.14/5.16 fd_pure 0
% 10.14/5.16 fd_pseudo 0
% 10.14/5.16 fd_cond 0
% 10.14/5.16 fd_pseudo_cond 0
% 10.14/5.16 AC symbols 0
% 10.14/5.16
% 10.14/5.16 ------ Input Options Time Limit: Unbounded
% 10.14/5.16
% 10.14/5.16
% 10.14/5.16 ------
% 10.14/5.16 Current options:
% 10.14/5.16 ------
% 10.14/5.16
% 10.14/5.16
% 10.14/5.16
% 10.14/5.16
% 10.14/5.16 ------ Proving...
% 10.14/5.16
% 10.14/5.16
% 10.14/5.16 % SZS status Unsatisfiable for theBenchmark.p
% 10.14/5.16
% 10.14/5.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.14/5.16
% 10.14/5.16
%------------------------------------------------------------------------------