%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL091-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 3.07s 1.31s
% Output : CNFRefutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 13 unt; 0 def)
% Number of atoms : 78 ( 24 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 68 ( 30 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : combK != comb_app(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ap_contractE13) ).
fof(f33,axiom,
! [X2,X0,X1] :
( X2 = comb_app(X0,ap_contractE_sk3q(X0,X1,X2))
| ~ ap_contractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE15) ).
fof(f34,plain,
! [X2,X0,X1] :
( comb_app(X0,ap_contractE_sk3q(X0,X1,X2)) = X2
| ~ ap_contractE_c4(X0,X1,X2) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,axiom,
! [X0] : ~ member(pair(combK,X0),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_contractE) ).
fof(f37,axiom,
member(pair(comb_app(combK,p),r),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_contractD_h1) ).
fof(f38,negated_conjecture,
! [X0] :
( ~ member(pair(p,X0),contract)
| r != comb_app(combK,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_contractD_c1) ).
fof(f39,plain,
! [X0] :
( ~ member(pair(p,X0),contract)
| comb_app(combK,X0) != r ),
inference(reorient_equations,[],[f38]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] : comb_app(X0,X1) != combK,
inference(cnf_transformation,[],[f2]) ).
tcf(c_95,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_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( comb_app(combK,X2) = X0 )
| ~ ap_contractE_c1(X0,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_103,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_104,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_107,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,X1: $i,X2: $i] :
( ( comb_app(X0,ap_contractE_sk3q(X0,X1,X2)) = X2 )
| ~ ap_contractE_c4(X0,X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_110,plain,
! [X0: $i] : ~ member(pair(combK,X0),contract),
inference(cnf_transformation,[],[f35]) ).
tcf(c_112,plain,
member(pair(comb_app(combK,p),r),contract),
inference(cnf_transformation,[],[f37]) ).
tcf(c_113,negated_conjecture,
! [X0: $i] :
( ~ member(pair(p,X0),contract)
| ( comb_app(combK,X0) != r ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_684,negated_conjecture,
! [X0: $i] :
( ~ member(pair(p,X0),contract)
| ( comb_app(combK,X0) != r ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_1083,plain,
! [X0: $i,X1: $i] : ~ ap_contractE_c3(combK,X0,X1),
inference(superposition,[status(thm)],[c_104,c_110]) ).
tcf(c_1130,plain,
( ap_contractE_c4(combK,p,r)
| ap_contractE_c3(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r) ),
inference(superposition,[status(thm)],[c_112,c_95]) ).
tcf(c_1131,plain,
( ap_contractE_c4(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1130,c_1083]) ).
tcf(c_1160,plain,
( ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r)
| ( comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r ) ),
inference(superposition,[status(thm)],[c_1131,c_109]) ).
tcf(c_1171,plain,
( ap_contractE_c2(combK,p,r)
| ( comb_app(combK,r) = combK )
| ( comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r ) ),
inference(superposition,[status(thm)],[c_1160,c_98]) ).
tcf(c_1180,plain,
( ap_contractE_c2(combK,p,r)
| ( comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1171,c_83]) ).
tcf(c_1190,plain,
( ( comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r )
| ( comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)) = combK ) ),
inference(superposition,[status(thm)],[c_1180,c_103]) ).
tcf(c_1194,plain,
comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r,
inference(forward_subsumption_resolution,[status(thm)],[c_1190,c_83]) ).
tcf(c_1206,plain,
~ member(pair(p,ap_contractE_sk3q(combK,p,r)),contract),
inference(superposition,[status(thm)],[c_1194,c_684]) ).
tcf(c_1228,plain,
~ ap_contractE_c4(combK,p,r),
inference(superposition,[status(thm)],[c_107,c_1206]) ).
tcf(c_1229,plain,
( ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1131,c_1228]) ).
tcf(c_1236,plain,
( ap_contractE_c2(combK,p,r)
| ( comb_app(combK,r) = combK ) ),
inference(superposition,[status(thm)],[c_1229,c_98]) ).
tcf(c_1243,plain,
ap_contractE_c2(combK,p,r),
inference(forward_subsumption_resolution,[status(thm)],[c_1236,c_83]) ).
tcf(c_1274,plain,
comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)) = combK,
inference(superposition,[status(thm)],[c_1243,c_103]) ).
tcf(c_1276,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1274,c_83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL091-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 % Computer : n015.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Fri Sep 25 07:35:57 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.45
% 0.10/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.45
% 0.10/0.45 % Detected problem language: tptp
% 0.17/0.46 % Proving...
% 3.07/1.31 % SZS status Started for theBenchmark.p
% 3.07/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.07/1.31
% 3.07/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.07/1.31
% 3.07/1.31 % ------ iProver source info
% 3.07/1.31
% 3.07/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.07/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.07/1.31 % git: non_committed_changes: false
% 3.07/1.31
% 3.07/1.31 % ------ Parsing...% successful
% 3.07/1.31
% 3.07/1.31
% 3.07/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.07/1.31
% 3.07/1.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.07/1.31
% 3.07/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.07/1.31
% 3.07/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.07/1.31 % ------ Proving...
% 3.07/1.31 % ------ Problem Properties
% 3.07/1.31
% 3.07/1.31 %
% 3.07/1.31 % clauses 32
% 3.07/1.31 % conjectures 1
% 3.07/1.31 % EPR 8
% 3.07/1.31 % Horn 31
% 3.07/1.31 % unary 8
% 3.07/1.31 % binary 20
% 3.07/1.31 % lits 63
% 3.07/1.31 % lits eq 13
% 3.07/1.31 % fd_pure 0
% 3.07/1.31 % fd_pseudo 0
% 3.07/1.31 % fd_cond 0
% 3.07/1.31 % fd_pseudo_cond 3
% 3.07/1.31 % AC symbols 0
% 3.07/1.31
% 3.07/1.31 % ------ Schedule dynamic 5 is on
% 3.07/1.31
% 3.07/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.07/1.31
% 3.07/1.31
% 3.07/1.31 % ------
% 3.07/1.31 % Current options:
% 3.07/1.31 % ------
% 3.07/1.31
% 3.07/1.31
% 3.07/1.31 %
% 3.07/1.31
% 3.07/1.31 % ------ Proving...
% 3.07/1.31 %
% 3.07/1.31
% 3.07/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.07/1.31
% 3.07/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.07/1.32
% 3.07/1.32
%------------------------------------------------------------------------------