%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL090-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:02:49 PM UTC 2026
% Result : Unsatisfiable 3.06s 1.08s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 20 unt; 3 def)
% Number of atoms : 146 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 84 ( 35 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn 72 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
combK != combS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_s) ).
fof(f3,axiom,
! [X0,X1] : combS != comb_app(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_app) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| comb_app(X0,X1) != comb_app(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app1) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ap_contractE_c4(X0,X1,X2)
| ap_contractE_c3(X0,X1,X2)
| ap_contractE_c2(X0,X1,X2)
| ap_contractE_c1(X0,X1,X2)
| ~ member(pair(comb_app(X0,X1),X2),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE1) ).
fof(f18,axiom,
! [X2,X0,X1] :
( X0 = comb_app(combK,X2)
| ~ ap_contractE_c1(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE4) ).
fof(f19,plain,
! [X2,X0,X1] :
( comb_app(combK,X2) = X0
| ~ ap_contractE_c1(X0,X1,X2) ),
inference(reorient_equations,[],[f18]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( X0 = comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2))
| ~ ap_contractE_c2(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE9) ).
fof(f26,plain,
! [X2,X0,X1] :
( comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) = X0
| ~ ap_contractE_c2(X0,X1,X2) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,axiom,
! [X2,X0,X1] :
( member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract)
| ~ ap_contractE_c3(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE10) ).
fof(f31,axiom,
! [X2,X0,X1] :
( member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract)
| ~ ap_contractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE13) ).
fof(f35,axiom,
! [X0] : ~ member(pair(combK,X0),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_contractE) ).
fof(f36,axiom,
! [X0] : ~ member(pair(combS,X0),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_contractE) ).
fof(f37,negated_conjecture,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_contract_E) ).
tcf(c_81,plain,
combK != combS,
inference(cnf_transformation,[],[f1]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] : comb_app(X0,X1) != combS,
inference(cnf_transformation,[],[f3]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( comb_app(X0,X1) != comb_app(X2,X3) ) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( ap_contractE_c4(X0,X1,X2)
| ap_contractE_c3(X0,X1,X2)
| ap_contractE_c2(X0,X1,X2)
| ap_contractE_c1(X0,X1,X2)
| ~ member(pair(comb_app(X0,X1),X2),contract) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( comb_app(combK,X2) = X0 )
| ~ ap_contractE_c1(X0,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) = X0 )
| ~ ap_contractE_c2(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract)
| ~ ap_contractE_c3(X0,X1,X2) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract)
| ~ ap_contractE_c4(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_109,plain,
! [X0: $i] : ~ member(pair(combK,X0),contract),
inference(cnf_transformation,[],[f35]) ).
tcf(c_110,plain,
! [X0: $i] : ~ member(pair(combS,X0),contract),
inference(cnf_transformation,[],[f36]) ).
tcf(c_111,negated_conjecture,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
inference(cnf_transformation,[],[f37]) ).
tcf(c_673,definition,
iPr_def_10 = comb_app(combS,combK),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_674,definition,
iPr_def_11 = comb_app(iPr_def_10,combK),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_675,definition,
iPr_def_12 = pair(iPr_def_11,r),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_676,negated_conjecture,
member(iPr_def_12,contract),
inference(demodulation,[status(thm)],[c_111,c_673,c_674,c_675]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i] :
( ( X0 = combS )
| ( comb_app(X0,X1) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_673,c_84]) ).
tcf(c_1142,plain,
! [X0: $i,X1: $i] : ~ ap_contractE_c3(combS,X0,X1),
inference(superposition,[status(thm)],[c_103,c_110]) ).
tcf(c_1149,plain,
! [X0: $i,X1: $i] : ~ ap_contractE_c4(X0,combK,X1),
inference(superposition,[status(thm)],[c_106,c_109]) ).
tcf(c_1188,plain,
! [X0: $i] :
( ap_contractE_c4(combS,combK,X0)
| ap_contractE_c3(combS,combK,X0)
| ap_contractE_c2(combS,combK,X0)
| ap_contractE_c1(combS,combK,X0)
| ~ member(pair(iPr_def_10,X0),contract) ),
inference(superposition,[status(thm)],[c_673,c_94]) ).
tcf(c_1189,plain,
! [X0: $i] :
( ap_contractE_c4(iPr_def_10,combK,X0)
| ap_contractE_c3(iPr_def_10,combK,X0)
| ap_contractE_c2(iPr_def_10,combK,X0)
| ap_contractE_c1(iPr_def_10,combK,X0)
| ~ member(pair(iPr_def_11,X0),contract) ),
inference(superposition,[status(thm)],[c_674,c_94]) ).
tcf(c_1190,plain,
! [X0: $i] :
( ap_contractE_c3(iPr_def_10,combK,X0)
| ap_contractE_c2(iPr_def_10,combK,X0)
| ap_contractE_c1(iPr_def_10,combK,X0)
| ~ member(pair(iPr_def_11,X0),contract) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1189,c_1149]) ).
tcf(c_1195,plain,
! [X0: $i] :
( ap_contractE_c2(combS,combK,X0)
| ap_contractE_c1(combS,combK,X0)
| ~ member(pair(iPr_def_10,X0),contract) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1188,c_1149,c_1142]) ).
tcf(c_1226,plain,
! [X0: $i,X1: $i] :
( ap_contractE_c2(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))
| ap_contractE_c1(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))
| ~ ap_contractE_c3(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_1195]) ).
tcf(c_1246,plain,
( ap_contractE_c3(iPr_def_10,combK,r)
| ap_contractE_c2(iPr_def_10,combK,r)
| ap_contractE_c1(iPr_def_10,combK,r)
| ~ member(iPr_def_12,contract) ),
inference(superposition,[status(thm)],[c_675,c_1190]) ).
tcf(c_1247,plain,
( ap_contractE_c3(iPr_def_10,combK,r)
| ap_contractE_c2(iPr_def_10,combK,r)
| ap_contractE_c1(iPr_def_10,combK,r) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1246,c_676]) ).
tcf(c_1753,plain,
! [X0: $i,X1: $i] :
( ap_contractE_c2(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))
| ( comb_app(combK,ap_contractE_sk2q(iPr_def_10,X0,X1)) = combS )
| ~ ap_contractE_c3(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_1226,c_97]) ).
tcf(c_1759,plain,
! [X0: $i,X1: $i] :
( ap_contractE_c2(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))
| ~ ap_contractE_c3(iPr_def_10,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1753,c_83]) ).
tcf(c_1770,plain,
! [X0: $i,X1: $i] :
( ( comb_app(comb_app(combS,ap_contractE_sk1p(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))),ap_contractE_sk1q(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))) = combS )
| ~ ap_contractE_c3(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_1759,c_102]) ).
tcf(c_1772,plain,
! [X0: $i,X1: $i] : ~ ap_contractE_c3(iPr_def_10,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_1770,c_83]) ).
tcf(c_1773,plain,
( ap_contractE_c2(iPr_def_10,combK,r)
| ap_contractE_c1(iPr_def_10,combK,r) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1247,c_1772]) ).
tcf(c_1786,plain,
( ap_contractE_c2(iPr_def_10,combK,r)
| ( comb_app(combK,r) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_1773,c_97]) ).
tcf(c_1809,plain,
( ( comb_app(combK,r) = iPr_def_10 )
| ( comb_app(comb_app(combS,ap_contractE_sk1p(iPr_def_10,combK,r)),ap_contractE_sk1q(iPr_def_10,combK,r)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_1786,c_102]) ).
tcf(c_1837,plain,
( ( comb_app(combK,r) = iPr_def_10 )
| ( comb_app(combS,ap_contractE_sk1p(iPr_def_10,combK,r)) = combS ) ),
inference(superposition,[status(thm)],[c_1809,c_1065]) ).
tcf(c_1852,plain,
comb_app(combK,r) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_1837,c_83]) ).
tcf(c_1859,plain,
combK = combS,
inference(superposition,[status(thm)],[c_1852,c_1065]) ).
tcf(c_1872,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1859,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL090-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 07:27:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.06/1.08 % SZS status Started for theBenchmark.p
% 3.06/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 3.06/1.08
% 3.06/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.06/1.08
% 3.06/1.08 % ------ iProver source info
% 3.06/1.08
% 3.06/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 3.06/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.06/1.08 % git: non_committed_changes: false
% 3.06/1.08
% 3.06/1.08 % ------ Parsing...% successful
% 3.06/1.08
% 3.06/1.08
% 3.06/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.06/1.08
% 3.06/1.08 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.06/1.08
% 3.06/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.06/1.08
% 3.06/1.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.06/1.08 % ------ Proving...
% 3.06/1.08 % ------ Problem Properties
% 3.06/1.08
% 3.06/1.08 %
% 3.06/1.08 % clauses 34
% 3.06/1.08 % conjectures 1
% 3.06/1.08 % EPR 9
% 3.06/1.08 % Horn 33
% 3.06/1.08 % unary 11
% 3.06/1.08 % binary 19
% 3.06/1.08 % lits 64
% 3.06/1.08 % lits eq 15
% 3.06/1.08 % fd_pure 0
% 3.06/1.08 % fd_pseudo 0
% 3.06/1.08 % fd_cond 0
% 3.06/1.08 % fd_pseudo_cond 3
% 3.06/1.08 % AC symbols 0
% 3.06/1.08
% 3.06/1.08 % ------ Schedule dynamic 5 is on
% 3.06/1.08
% 3.06/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.06/1.08
% 3.06/1.08
% 3.06/1.08 % ------
% 3.06/1.08 % Current options:
% 3.06/1.08 % ------
% 3.06/1.08
% 3.06/1.08
% 3.06/1.08 %
% 3.06/1.08
% 3.06/1.08 % ------ Proving...
% 3.06/1.08 %
% 3.06/1.08
% 3.06/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 3.06/1.08
% 3.06/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.06/1.08
% 3.06/1.08
%------------------------------------------------------------------------------