TSTP Solution File: COL092-2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL092-2 : TPTP v8.1.2. Released v2.7.0.
% 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 : Fri May 3 02:09:51 EDT 2024
% Result : Unsatisfiable 107.72s 15.34s
% Output : CNFRefutation 107.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of clauses : 61 ( 14 unt; 28 nHn; 61 RR)
% Number of literals : 148 ( 67 equ; 28 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 45 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_192,plain,
comb_app(X0,X1) != combK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).
cnf(c_195,plain,
( comb_app(X0,X1) != comb_app(X2,X3)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',app_app2) ).
cnf(c_198,plain,
( ~ member(comb_app(X0,X1),comb)
| member(X1,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_E2) ).
cnf(c_222,plain,
( ~ member(X0,comb)
| member(pair(X0,X0),parcontract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',parcontract_intros1) ).
cnf(c_227,plain,
( ~ member(pair(combK,X0),parcontract)
| X0 = combK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_parcontractE2) ).
cnf(c_230,plain,
( ~ member(pair(comb_app(X0,X1),X2),parcontract)
| ap_parcontractE_c1(X0,X1,X2)
| ap_parcontractE_c2(X0,X1,X2)
| ap_parcontractE_c3(X0,X1,X2)
| ap_parcontractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE1) ).
cnf(c_231,plain,
( ~ ap_parcontractE_c1(X0,X1,X2)
| member(comb_app(X0,X1),comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE2) ).
cnf(c_232,plain,
( ~ ap_parcontractE_c1(X0,X1,X2)
| comb_app(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE3) ).
cnf(c_234,plain,
( ~ ap_parcontractE_c2(X0,X1,X2)
| member(X1,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE5) ).
cnf(c_235,plain,
( ~ ap_parcontractE_c2(X0,X1,X2)
| comb_app(combK,X2) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE6) ).
cnf(c_238,plain,
( ~ ap_parcontractE_c3(X0,X1,X2)
| member(X1,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE9) ).
cnf(c_240,plain,
( ~ ap_parcontractE_c3(X0,X1,X2)
| comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE11) ).
cnf(c_241,plain,
( ~ ap_parcontractE_c4(X0,X1,X2)
| member(pair(X0,ap_parcontractE_sk2q(X0,X1,X2)),parcontract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE12) ).
cnf(c_242,plain,
( ~ ap_parcontractE_c4(X0,X1,X2)
| member(pair(X1,ap_parcontractE_sk2s(X0,X1,X2)),parcontract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE13) ).
cnf(c_243,plain,
( ~ ap_parcontractE_c4(X0,X1,X2)
| comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE14) ).
cnf(c_244,plain,
member(pair(comb_app(combK,p),r),parcontract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_parcontractD_h1) ).
cnf(c_245,negated_conjecture,
( comb_app(combK,X0) != r
| ~ member(pair(p,X0),parcontract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_parcontractD_c1) ).
cnf(c_7652,plain,
( ~ ap_parcontractE_c4(combK,X0,X1)
| ap_parcontractE_sk2q(combK,X0,X1) = combK ),
inference(superposition,[status(thm)],[c_241,c_227]) ).
cnf(c_7668,plain,
( ap_parcontractE_c1(combK,p,r)
| ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r)
| ap_parcontractE_c4(combK,p,r) ),
inference(superposition,[status(thm)],[c_244,c_230]) ).
cnf(c_7673,plain,
( comb_app(combK,p) = r
| ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r)
| ap_parcontractE_c4(combK,p,r) ),
inference(superposition,[status(thm)],[c_7668,c_232]) ).
cnf(c_7674,plain,
( member(comb_app(combK,p),comb)
| ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r)
| ap_parcontractE_c4(combK,p,r) ),
inference(superposition,[status(thm)],[c_7668,c_231]) ).
cnf(c_7675,plain,
( ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r)
| ap_parcontractE_c4(combK,p,r)
| member(p,comb) ),
inference(superposition,[status(thm)],[c_7674,c_198]) ).
cnf(c_7677,plain,
( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r
| ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r)
| member(p,comb) ),
inference(superposition,[status(thm)],[c_7675,c_243]) ).
cnf(c_7678,plain,
( ap_parcontractE_sk2q(combK,p,r) = combK
| ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r)
| member(p,comb) ),
inference(superposition,[status(thm)],[c_7675,c_7652]) ).
cnf(c_7679,plain,
( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r
| comb_app(combK,p) = r
| ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r) ),
inference(superposition,[status(thm)],[c_7673,c_243]) ).
cnf(c_7680,plain,
( ap_parcontractE_sk2q(combK,p,r) = combK
| comb_app(combK,p) = r
| ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r) ),
inference(superposition,[status(thm)],[c_7673,c_7652]) ).
cnf(c_7682,plain,
( ap_parcontractE_sk2q(combK,p,r) = combK
| ap_parcontractE_c3(combK,p,r)
| member(p,comb) ),
inference(superposition,[status(thm)],[c_7678,c_234]) ).
cnf(c_7686,plain,
( ap_parcontractE_sk2q(combK,p,r) = combK
| member(p,comb) ),
inference(superposition,[status(thm)],[c_7682,c_238]) ).
cnf(c_7689,plain,
( ap_parcontractE_sk2q(combK,p,r) = combK
| comb_app(combK,p) = r
| comb_app(combK,r) = combK
| ap_parcontractE_c3(combK,p,r) ),
inference(superposition,[status(thm)],[c_7680,c_235]) ).
cnf(c_7706,plain,
( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r
| ap_parcontractE_c3(combK,p,r)
| member(p,comb) ),
inference(superposition,[status(thm)],[c_7677,c_234]) ).
cnf(c_7714,plain,
( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r
| member(p,comb) ),
inference(superposition,[status(thm)],[c_7706,c_238]) ).
cnf(c_7720,plain,
( comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r)) = combK
| ap_parcontractE_sk2q(combK,p,r) = combK
| comb_app(combK,p) = r
| comb_app(combK,r) = combK ),
inference(superposition,[status(thm)],[c_7689,c_240]) ).
cnf(c_7735,plain,
( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r
| comb_app(combK,p) = r
| comb_app(combK,r) = combK
| ap_parcontractE_c3(combK,p,r) ),
inference(superposition,[status(thm)],[c_7679,c_235]) ).
cnf(c_7755,plain,
( comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r)) = combK
| comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r
| comb_app(combK,p) = r
| comb_app(combK,r) = combK ),
inference(superposition,[status(thm)],[c_7735,c_240]) ).
cnf(c_7790,plain,
( ap_parcontractE_sk2q(combK,p,r) = combK
| comb_app(combK,p) = r
| comb_app(combK,r) = combK ),
inference(superposition,[status(thm)],[c_7720,c_192]) ).
cnf(c_7910,plain,
( comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r
| comb_app(combK,p) = r
| comb_app(combK,r) = combK ),
inference(superposition,[status(thm)],[c_7755,c_192]) ).
cnf(c_7923,plain,
( comb_app(combK,ap_parcontractE_sk2s(combK,p,r)) = r
| comb_app(combK,p) = r
| comb_app(combK,r) = combK ),
inference(superposition,[status(thm)],[c_7790,c_7910]) ).
cnf(c_7975,plain,
( ~ ap_parcontractE_c2(combK,p,r)
| comb_app(combK,r) = combK ),
inference(instantiation,[status(thm)],[c_235]) ).
cnf(c_7976,plain,
( ~ ap_parcontractE_c2(combK,p,r)
| member(p,comb) ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_8008,plain,
( ~ member(pair(p,ap_parcontractE_sk2s(combK,p,r)),parcontract)
| comb_app(combK,p) = r
| comb_app(combK,r) = combK ),
inference(superposition,[status(thm)],[c_7923,c_245]) ).
cnf(c_8084,plain,
( ~ ap_parcontractE_c4(combK,p,r)
| comb_app(combK,p) = r
| comb_app(combK,r) = combK ),
inference(superposition,[status(thm)],[c_242,c_8008]) ).
cnf(c_8095,plain,
( comb_app(combK,p) = r
| comb_app(combK,r) = combK
| ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r) ),
inference(superposition,[status(thm)],[c_7673,c_8084]) ).
cnf(c_8097,plain,
( comb_app(combK,r) = combK
| comb_app(combK,p) = r
| ap_parcontractE_c3(combK,p,r) ),
inference(global_subsumption_just,[status(thm)],[c_8095,c_7975,c_8095]) ).
cnf(c_8098,plain,
( comb_app(combK,p) = r
| comb_app(combK,r) = combK
| ap_parcontractE_c3(combK,p,r) ),
inference(renaming,[status(thm)],[c_8097]) ).
cnf(c_8100,plain,
( comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r)) = combK
| comb_app(combK,p) = r
| comb_app(combK,r) = combK ),
inference(superposition,[status(thm)],[c_8098,c_240]) ).
cnf(c_8111,plain,
( comb_app(combK,p) = r
| comb_app(combK,r) = combK ),
inference(superposition,[status(thm)],[c_8100,c_192]) ).
cnf(c_8135,plain,
comb_app(combK,p) = r,
inference(superposition,[status(thm)],[c_8111,c_192]) ).
cnf(c_8173,plain,
( comb_app(X0,X1) != r
| X1 = p ),
inference(superposition,[status(thm)],[c_8135,c_195]) ).
cnf(c_8191,plain,
~ member(pair(p,p),parcontract),
inference(superposition,[status(thm)],[c_8135,c_245]) ).
cnf(c_8259,plain,
~ member(p,comb),
inference(superposition,[status(thm)],[c_222,c_8191]) ).
cnf(c_8260,plain,
comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) = r,
inference(superposition,[status(thm)],[c_7714,c_8259]) ).
cnf(c_8261,plain,
ap_parcontractE_sk2q(combK,p,r) = combK,
inference(superposition,[status(thm)],[c_7686,c_8259]) ).
cnf(c_8281,plain,
comb_app(combK,ap_parcontractE_sk2s(combK,p,r)) = r,
inference(superposition,[status(thm)],[c_8261,c_8260]) ).
cnf(c_8283,plain,
ap_parcontractE_sk2s(combK,p,r) = p,
inference(superposition,[status(thm)],[c_8260,c_8173]) ).
cnf(c_8316,plain,
( ~ ap_parcontractE_c4(combK,p,r)
| member(pair(p,p),parcontract) ),
inference(superposition,[status(thm)],[c_8283,c_242]) ).
cnf(c_8350,plain,
~ member(pair(p,ap_parcontractE_sk2s(combK,p,r)),parcontract),
inference(superposition,[status(thm)],[c_8281,c_245]) ).
cnf(c_8504,plain,
~ ap_parcontractE_c4(combK,p,r),
inference(superposition,[status(thm)],[c_242,c_8350]) ).
cnf(c_8591,plain,
( ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r)
| member(p,comb) ),
inference(superposition,[status(thm)],[c_7675,c_8504]) ).
cnf(c_8592,plain,
ap_parcontractE_c3(combK,p,r),
inference(global_subsumption_just,[status(thm)],[c_8591,c_7675,c_7976,c_8191,c_8259,c_8316]) ).
cnf(c_8596,plain,
member(p,comb),
inference(superposition,[status(thm)],[c_8592,c_238]) ).
cnf(c_8597,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8596,c_8259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL092-2 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 21:46:36 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 107.72/15.34 % SZS status Started for theBenchmark.p
% 107.72/15.34 % SZS status Unsatisfiable for theBenchmark.p
% 107.72/15.34
% 107.72/15.34 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 107.72/15.34
% 107.72/15.34 ------ iProver source info
% 107.72/15.34
% 107.72/15.34 git: date: 2024-05-02 19:28:25 +0000
% 107.72/15.34 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 107.72/15.34 git: non_committed_changes: false
% 107.72/15.34
% 107.72/15.34 ------ Parsing...successful
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34 ------ Preprocessing... sup_sim: 0 sf_s rm: 16 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 107.72/15.34
% 107.72/15.34 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 107.72/15.34
% 107.72/15.34 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 107.72/15.34 ------ Proving...
% 107.72/15.34 ------ Problem Properties
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34 clauses 167
% 107.72/15.34 conjectures 1
% 107.72/15.34 EPR 17
% 107.72/15.34 Horn 141
% 107.72/15.34 unary 19
% 107.72/15.34 binary 105
% 107.72/15.34 lits 366
% 107.72/15.34 lits eq 63
% 107.72/15.34 fd_pure 0
% 107.72/15.34 fd_pseudo 0
% 107.72/15.34 fd_cond 2
% 107.72/15.34 fd_pseudo_cond 21
% 107.72/15.34 AC symbols 0
% 107.72/15.34
% 107.72/15.34 ------ Input Options Time Limit: Unbounded
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34 ------
% 107.72/15.34 Current options:
% 107.72/15.34 ------
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34 ------ Proving...
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34 ------ Proving...
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34 ------ Proving...
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34 ------ Proving...
% 107.72/15.34
% 107.72/15.34
% 107.72/15.34 % SZS status Unsatisfiable for theBenchmark.p
% 107.72/15.34
% 107.72/15.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 107.72/15.34
% 107.72/15.35
%------------------------------------------------------------------------------