TSTP Solution File: LCL109-5 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 02:36:52 EDT 2024
% Result : Unsatisfiable 4.11s 1.19s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ ordered(X0,X1)
| ordered(implies(X0,X2),implies(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1) ).
cnf(c_52,plain,
( ~ ordered(X0,implies(X1,X2))
| ordered(X1,implies(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_2) ).
cnf(c_57,negated_conjecture,
big_V(implies(x,y),implies(y,x)) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_4) ).
cnf(c_58,plain,
implies(implies(X0,X1),X1) = big_V(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax',big_V_definition) ).
cnf(c_60,plain,
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax',partial_order_definition1) ).
cnf(c_61,plain,
( implies(X0,X1) != truth
| ordered(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax',partial_order_definition2) ).
cnf(c_62,plain,
implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
cnf(c_64,plain,
implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
cnf(c_176,plain,
implies(implies(X0,X1),X1) = big_V(X1,X0),
inference(light_normalisation,[status(thm)],[c_64,c_58]) ).
cnf(c_177,plain,
big_V(X0,X1) = big_V(X1,X0),
inference(light_normalisation,[status(thm)],[c_176,c_58]) ).
cnf(c_293,plain,
implies(x,y) = sP0_iProver_def,
definition ).
cnf(c_294,plain,
implies(y,x) = sP1_iProver_def,
definition ).
cnf(c_295,plain,
big_V(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_296,negated_conjecture,
sP2_iProver_def != truth,
inference(demodulation,[status(thm)],[c_57,c_294,c_293,c_295]) ).
cnf(c_595,plain,
implies(sP0_iProver_def,y) = big_V(x,y),
inference(superposition,[status(thm)],[c_293,c_58]) ).
cnf(c_596,plain,
implies(sP1_iProver_def,x) = big_V(y,x),
inference(superposition,[status(thm)],[c_294,c_58]) ).
cnf(c_598,plain,
implies(X0,X0) = big_V(truth,X0),
inference(superposition,[status(thm)],[c_62,c_58]) ).
cnf(c_599,plain,
implies(big_V(X0,X1),X1) = big_V(implies(X0,X1),X1),
inference(superposition,[status(thm)],[c_58,c_58]) ).
cnf(c_602,plain,
implies(sP0_iProver_def,y) = implies(sP1_iProver_def,x),
inference(demodulation,[status(thm)],[c_596,c_177,c_595]) ).
cnf(c_603,plain,
implies(implies(sP0_iProver_def,y),x) = big_V(sP1_iProver_def,x),
inference(superposition,[status(thm)],[c_602,c_58]) ).
cnf(c_613,plain,
( X0 != truth
| ordered(truth,X0) ),
inference(superposition,[status(thm)],[c_62,c_61]) ).
cnf(c_632,plain,
( ~ ordered(y,X0)
| ordered(sP1_iProver_def,implies(X0,x)) ),
inference(superposition,[status(thm)],[c_294,c_49]) ).
cnf(c_634,plain,
( ~ ordered(truth,X0)
| ordered(X1,implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_49]) ).
cnf(c_681,plain,
implies(X0,X0) = big_V(X0,truth),
inference(superposition,[status(thm)],[c_598,c_177]) ).
cnf(c_706,plain,
ordered(truth,truth),
inference(equality_resolution,[status(thm)],[c_613]) ).
cnf(c_774,plain,
( ~ ordered(y,truth)
| ordered(sP1_iProver_def,x) ),
inference(superposition,[status(thm)],[c_62,c_632]) ).
cnf(c_800,plain,
implies(big_V(X0,X1),X1) = big_V(X1,implies(X0,X1)),
inference(demodulation,[status(thm)],[c_599,c_177]) ).
cnf(c_801,plain,
implies(big_V(x,y),y) = big_V(y,sP0_iProver_def),
inference(superposition,[status(thm)],[c_293,c_800]) ).
cnf(c_809,plain,
implies(implies(sP0_iProver_def,y),y) = big_V(y,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_801,c_595]) ).
cnf(c_978,plain,
( ~ ordered(truth,truth)
| ordered(X0,X0) ),
inference(superposition,[status(thm)],[c_62,c_634]) ).
cnf(c_984,plain,
ordered(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_978,c_706]) ).
cnf(c_1036,plain,
implies(X0,X0) = truth,
inference(superposition,[status(thm)],[c_984,c_60]) ).
cnf(c_1037,plain,
ordered(X0,implies(implies(X0,X1),X1)),
inference(superposition,[status(thm)],[c_984,c_52]) ).
cnf(c_1038,plain,
ordered(X0,big_V(X0,X1)),
inference(light_normalisation,[status(thm)],[c_1037,c_58]) ).
cnf(c_1039,plain,
big_V(X0,truth) = truth,
inference(demodulation,[status(thm)],[c_681,c_1036]) ).
cnf(c_1068,plain,
implies(X0,big_V(X0,X1)) = truth,
inference(superposition,[status(thm)],[c_1038,c_60]) ).
cnf(c_1149,plain,
big_V(X0,X0) = implies(truth,X0),
inference(superposition,[status(thm)],[c_1036,c_58]) ).
cnf(c_1156,plain,
big_V(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1149,c_62]) ).
cnf(c_1173,plain,
ordered(X0,truth),
inference(superposition,[status(thm)],[c_1039,c_1038]) ).
cnf(c_1177,plain,
ordered(sP1_iProver_def,x),
inference(backward_subsumption_resolution,[status(thm)],[c_774,c_1173]) ).
cnf(c_1657,plain,
implies(sP1_iProver_def,x) = truth,
inference(superposition,[status(thm)],[c_1177,c_60]) ).
cnf(c_1658,plain,
implies(sP0_iProver_def,y) = truth,
inference(demodulation,[status(thm)],[c_602,c_1657]) ).
cnf(c_1659,plain,
implies(truth,x) = big_V(sP1_iProver_def,x),
inference(demodulation,[status(thm)],[c_603,c_1658]) ).
cnf(c_1662,plain,
big_V(x,y) = truth,
inference(demodulation,[status(thm)],[c_595,c_1658]) ).
cnf(c_2271,plain,
( ~ ordered(X0,truth)
| ordered(X1,implies(X0,big_V(X1,X2))) ),
inference(superposition,[status(thm)],[c_1068,c_52]) ).
cnf(c_2287,plain,
ordered(X0,implies(X1,big_V(X0,X2))),
inference(forward_subsumption_resolution,[status(thm)],[c_2271,c_1173]) ).
cnf(c_2318,plain,
ordered(X0,implies(X1,X0)),
inference(superposition,[status(thm)],[c_1156,c_2287]) ).
cnf(c_2337,plain,
ordered(y,sP0_iProver_def),
inference(superposition,[status(thm)],[c_293,c_2318]) ).
cnf(c_2338,plain,
ordered(x,sP1_iProver_def),
inference(superposition,[status(thm)],[c_294,c_2318]) ).
cnf(c_2354,plain,
implies(y,sP0_iProver_def) = truth,
inference(superposition,[status(thm)],[c_2337,c_60]) ).
cnf(c_2355,plain,
implies(x,sP1_iProver_def) = truth,
inference(superposition,[status(thm)],[c_2338,c_60]) ).
cnf(c_2371,plain,
implies(truth,sP0_iProver_def) = big_V(y,sP0_iProver_def),
inference(superposition,[status(thm)],[c_2354,c_58]) ).
cnf(c_2447,plain,
implies(truth,sP1_iProver_def) = big_V(x,sP1_iProver_def),
inference(superposition,[status(thm)],[c_2355,c_58]) ).
cnf(c_2994,plain,
big_V(sP1_iProver_def,x) = x,
inference(demodulation,[status(thm)],[c_1659,c_62]) ).
cnf(c_3289,plain,
implies(truth,y) = implies(truth,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_809,c_1658,c_2371]) ).
cnf(c_3290,plain,
y = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_3289,c_62]) ).
cnf(c_3302,plain,
big_V(x,sP0_iProver_def) = truth,
inference(demodulation,[status(thm)],[c_1662,c_3290]) ).
cnf(c_3313,plain,
big_V(sP0_iProver_def,x) = truth,
inference(demodulation,[status(thm)],[c_3302,c_177]) ).
cnf(c_4793,plain,
x = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2447,c_62,c_177,c_2994]) ).
cnf(c_4809,plain,
big_V(sP0_iProver_def,sP1_iProver_def) = truth,
inference(demodulation,[status(thm)],[c_3313,c_4793]) ).
cnf(c_4826,plain,
truth = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_4809,c_295]) ).
cnf(c_4850,plain,
sP2_iProver_def != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_296,c_4826]) ).
cnf(c_4851,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_4850]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.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 : Thu May 2 19:07:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.11/1.19 % SZS status Started for theBenchmark.p
% 4.11/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.19
% 4.11/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.11/1.19
% 4.11/1.19 ------ iProver source info
% 4.11/1.19
% 4.11/1.19 git: date: 2024-05-02 19:28:25 +0000
% 4.11/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.11/1.19 git: non_committed_changes: false
% 4.11/1.19
% 4.11/1.19 ------ Parsing...successful
% 4.11/1.19
% 4.11/1.19
% 4.11/1.19
% 4.11/1.19 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.11/1.19
% 4.11/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.11/1.19
% 4.11/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.11/1.19 ------ Proving...
% 4.11/1.19 ------ Problem Properties
% 4.11/1.19
% 4.11/1.19
% 4.11/1.19 clauses 19
% 4.11/1.19 conjectures 1
% 4.11/1.19 EPR 1
% 4.11/1.19 Horn 19
% 4.11/1.19 unary 14
% 4.11/1.19 binary 5
% 4.11/1.19 lits 24
% 4.11/1.19 lits eq 16
% 4.11/1.19 fd_pure 0
% 4.11/1.19 fd_pseudo 0
% 4.11/1.19 fd_cond 0
% 4.11/1.19 fd_pseudo_cond 0
% 4.11/1.19 AC symbols 0
% 4.11/1.19
% 4.11/1.19 ------ Schedule dynamic 5 is on
% 4.11/1.19
% 4.11/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.11/1.19
% 4.11/1.19
% 4.11/1.19 ------
% 4.11/1.19 Current options:
% 4.11/1.19 ------
% 4.11/1.19
% 4.11/1.19
% 4.11/1.19
% 4.11/1.19
% 4.11/1.19 ------ Proving...
% 4.11/1.19
% 4.11/1.19
% 4.11/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.19
% 4.11/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/1.19
% 4.11/1.19
%------------------------------------------------------------------------------