TSTP Solution File: RNG077+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG077+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:57:32 EDT 2024
% Result : Theorem 8.12s 1.62s
% Output : CNFRefutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 22 unt; 0 def)
% Number of atoms : 153 ( 75 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 172 ( 81 ~; 74 |; 15 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 61 ( 3 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f59,conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(negated_conjecture,[],[f59]) ).
fof(f66,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(flattening,[],[f60]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f75]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f79]) ).
fof(f137,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f139,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f149,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f152,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f202,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f208,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f212,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f213,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f221,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(cnf_transformation,[],[f66]) ).
cnf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f137]) ).
cnf(c_58,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_68,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_71,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_122,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f202]) ).
cnf(c_128,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f208]) ).
cnf(c_131,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f213]) ).
cnf(c_132,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f212]) ).
cnf(c_140,negated_conjecture,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(cnf_transformation,[],[f221]) ).
cnf(c_641,plain,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(light_normalisation,[status(thm)],[c_140,c_131]) ).
cnf(c_1144,plain,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(subtyping,[status(esa)],[c_641]) ).
cnf(c_1156,plain,
sdtasdt0(xE,xH) = xP,
inference(subtyping,[status(esa)],[c_131]) ).
cnf(c_1213,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| sdtpldt0(sdtpldt0(X0_15,X1_15),X2_15) = sdtpldt0(X0_15,sdtpldt0(X1_15,X2_15)) ),
inference(subtyping,[status(esa)],[c_71]) ).
cnf(c_1216,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15) ),
inference(subtyping,[status(esa)],[c_68]) ).
cnf(c_1225,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtasdt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_1234,plain,
( ~ aScalar0(X0_15)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_1216]) ).
cnf(c_1235,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_1216]) ).
cnf(c_1236,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1216]) ).
cnf(c_1242,plain,
X0_15 = X0_15,
theory(equality) ).
cnf(c_1245,plain,
( X0_15 != X1_15
| X2_15 != X1_15
| X2_15 = X0_15 ),
theory(equality) ).
cnf(c_1249,plain,
( X0_15 != X1_15
| X2_15 != X3_15
| sdtpldt0(X0_15,X2_15) = sdtpldt0(X1_15,X3_15) ),
theory(equality) ).
cnf(c_1299,plain,
( ~ aScalar0(sz0z00)
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_1234]) ).
cnf(c_1304,plain,
( sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X0_15) ),
inference(global_subsumption_just,[status(thm)],[c_1235,c_56,c_1299,c_1235,c_1236]) ).
cnf(c_1305,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15) ),
inference(renaming,[status(thm)],[c_1304]) ).
cnf(c_2384,plain,
( sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != X0_15
| sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != X0_15
| sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_1245]) ).
cnf(c_2391,plain,
( sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))
| sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))
| sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_2384]) ).
cnf(c_2408,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xP)
| sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[c_1213]) ).
cnf(c_2425,plain,
( ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_1225]) ).
cnf(c_2431,plain,
( X0_15 != X1_15
| xP != X1_15
| xP = X0_15 ),
inference(instantiation,[status(thm)],[c_1245]) ).
cnf(c_2479,plain,
( sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtasdt0(xH,xH))
| xP != xP
| sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[c_1249]) ).
cnf(c_2504,plain,
( X0_15 != xP
| xP != xP
| xP = X0_15 ),
inference(instantiation,[status(thm)],[c_2431]) ).
cnf(c_2549,plain,
xP = xP,
inference(instantiation,[status(thm)],[c_1242]) ).
cnf(c_2669,plain,
( sdtasdt0(xH,xE) != xP
| sdtasdt0(xH,xH) != sdtasdt0(xH,xH)
| sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_1249]) ).
cnf(c_2872,plain,
( ~ aScalar0(xH)
| sdtasdt0(xH,xH) = sdtasdt0(xH,xH) ),
inference(instantiation,[status(thm)],[c_1305]) ).
cnf(c_3260,plain,
( sdtasdt0(xE,xH) != xP
| xP != xP
| xP = sdtasdt0(xE,xH) ),
inference(instantiation,[status(thm)],[c_2504]) ).
cnf(c_3269,plain,
( X0_15 != X1_15
| xP != X1_15
| X0_15 = xP ),
inference(instantiation,[status(thm)],[c_1245]) ).
cnf(c_4971,plain,
( X0_15 != sdtasdt0(xE,xH)
| xP != sdtasdt0(xE,xH)
| X0_15 = xP ),
inference(instantiation,[status(thm)],[c_3269]) ).
cnf(c_12213,plain,
( sdtasdt0(xH,xE) != sdtasdt0(xE,xH)
| xP != sdtasdt0(xE,xH)
| sdtasdt0(xH,xE) = xP ),
inference(instantiation,[status(thm)],[c_4971]) ).
cnf(c_12994,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| sdtasdt0(xH,xE) = sdtasdt0(xE,xH) ),
inference(instantiation,[status(thm)],[c_1305]) ).
cnf(c_12995,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12994,c_12213,c_3260,c_2872,c_2669,c_2549,c_2479,c_2425,c_2408,c_2391,c_1156,c_1144,c_122,c_128,c_132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG077+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 21:08:19 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 8.12/1.62 % SZS status Started for theBenchmark.p
% 8.12/1.62 % SZS status Theorem for theBenchmark.p
% 8.12/1.62
% 8.12/1.62 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.12/1.62
% 8.12/1.62 ------ iProver source info
% 8.12/1.62
% 8.12/1.62 git: date: 2024-05-02 19:28:25 +0000
% 8.12/1.62 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.12/1.62 git: non_committed_changes: false
% 8.12/1.62
% 8.12/1.62 ------ Parsing...
% 8.12/1.62 ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.12/1.62
% 8.12/1.62 ------ Preprocessing... sup_sim: 3 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 8.12/1.62
% 8.12/1.62 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.12/1.62
% 8.12/1.62 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 8.12/1.62 ------ Proving...
% 8.12/1.62 ------ Problem Properties
% 8.12/1.62
% 8.12/1.62
% 8.12/1.62 clauses 94
% 8.12/1.62 conjectures 0
% 8.12/1.62 EPR 25
% 8.12/1.62 Horn 82
% 8.12/1.62 unary 41
% 8.12/1.62 binary 19
% 8.12/1.62 lits 228
% 8.12/1.62 lits eq 72
% 8.12/1.62 fd_pure 0
% 8.12/1.62 fd_pseudo 0
% 8.12/1.62 fd_cond 1
% 8.12/1.62 fd_pseudo_cond 5
% 8.12/1.62 AC symbols 0
% 8.12/1.62
% 8.12/1.62 ------ Input Options Time Limit: Unbounded
% 8.12/1.62
% 8.12/1.62
% 8.12/1.62 ------
% 8.12/1.62 Current options:
% 8.12/1.62 ------
% 8.12/1.62
% 8.12/1.62
% 8.12/1.62
% 8.12/1.62
% 8.12/1.62 ------ Proving...
% 8.12/1.62
% 8.12/1.62
% 8.12/1.62 % SZS status Theorem for theBenchmark.p
% 8.12/1.62
% 8.12/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.12/1.62
% 8.12/1.63
%------------------------------------------------------------------------------