TSTP Solution File: ROB012-2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ROB012-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 : Thu Aug 31 14:08:25 EDT 2023
% Result : Satisfiable 258.94s 34.79s
% Output : Saturation 258.94s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( negate(add(X0,negate(X1))) != X2
| negate(add(X2,negate(add(X1,X0)))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_3) ).
cnf(c_50,plain,
negate(add(a,negate(b))) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
cnf(c_51,plain,
positive_integer(k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_an_integer) ).
cnf(c_52,plain,
negate(add(a,negate(add(b,multiply(k,add(a,c)))))) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_step) ).
cnf(c_53,negated_conjecture,
negate(add(a,negate(add(b,multiply(successor(k),add(a,c)))))) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_induction_step) ).
cnf(c_54,plain,
multiply(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-1.ax',one_times_x) ).
cnf(c_55,plain,
( ~ positive_integer(X0)
| add(X0,multiply(X1,X0)) = multiply(successor(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-1.ax',times_by_adding) ).
cnf(c_56,plain,
positive_integer(one),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-1.ax',one) ).
cnf(c_57,plain,
( ~ positive_integer(X0)
| positive_integer(successor(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-1.ax',next_integer) ).
cnf(c_58,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).
cnf(c_59,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).
cnf(c_60,plain,
negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
cnf(c_61,plain,
negate(add(negate(add(X0,negate(X1))),negate(add(X1,X0)))) = X0,
inference(unflattening,[status(thm)],[c_49]) ).
cnf(c_69,plain,
negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(theory_normalisation,[status(thm)],[c_61,c_59,c_58]) ).
cnf(c_99,plain,
X0_1 = X0_1,
theory(equality) ).
cnf(c_245,plain,
add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_59,c_58]) ).
cnf(c_450011,plain,
negate(add(c,negate(add(negate(b),negate(a))))) = negate(b),
inference(superposition,[status(thm)],[c_50,c_69]) ).
cnf(c_450036,plain,
negate(add(c,negate(add(negate(a),negate(b))))) = negate(b),
inference(theory_normalisation,[status(thm)],[c_450011,c_59,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ROB012-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 06:58:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 258.94/34.79 % SZS status Started for theBenchmark.p
% 258.94/34.79 % SZS status Satisfiable for theBenchmark.p
% 258.94/34.79
% 258.94/34.79 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 258.94/34.79
% 258.94/34.79 ------ iProver source info
% 258.94/34.79
% 258.94/34.79 git: date: 2023-05-31 18:12:56 +0000
% 258.94/34.79 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 258.94/34.79 git: non_committed_changes: false
% 258.94/34.79 git: last_make_outside_of_git: false
% 258.94/34.79
% 258.94/34.79 ------ Parsing...successful
% 258.94/34.79
% 258.94/34.79
% 258.94/34.79
% 258.94/34.79 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 258.94/34.79
% 258.94/34.79 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 258.94/34.79
% 258.94/34.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 258.94/34.79 ------ Proving...
% 258.94/34.79 ------ Problem Properties
% 258.94/34.79
% 258.94/34.79
% 258.94/34.79 clauses 12
% 258.94/34.79 conjectures 1
% 258.94/34.79 EPR 2
% 258.94/34.79 Horn 12
% 258.94/34.79 unary 10
% 258.94/34.79 binary 2
% 258.94/34.79 lits 14
% 258.94/34.79 lits eq 9
% 258.94/34.79 fd_pure 0
% 258.94/34.79 fd_pseudo 0
% 258.94/34.79 fd_cond 0
% 258.94/34.79 fd_pseudo_cond 0
% 258.94/34.79 AC symbols 1
% 258.94/34.79
% 258.94/34.79 ------ Input Options Time Limit: Unbounded
% 258.94/34.79
% 258.94/34.79
% 258.94/34.79 ------
% 258.94/34.79 Current options:
% 258.94/34.79 ------
% 258.94/34.79
% 258.94/34.79
% 258.94/34.79
% 258.94/34.79
% 258.94/34.79 ------ Proving...
% 258.94/34.79
% 258.94/34.79
% 258.94/34.79 % SZS status Satisfiable for theBenchmark.p
% 258.94/34.79
% 258.94/34.79 % SZS output start Saturation for theBenchmark.p
% See solution above
% 258.94/34.79
% 258.94/34.79
%------------------------------------------------------------------------------