%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO535+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:21:24 PM UTC 2026
% Result : Theorem 68.37s 12.33s
% Output : CNFRefutation 68.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 58 ( 11 unt; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 236 ( 111 ~; 115 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-6 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 162 ( 0 sgn 156 !; 6 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
fof(f75,axiom,
! [X0,X1,X2] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_6) ).
fof(f76,axiom,
! [X0,X1,X2,X3] :
( sameside(X0,X1,X3)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_7) ).
fof(f202,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( s_e3(ext(X1,X0,X4,X3),X1,ext(X1,X2,X4,X5),ext(X4,X3,X1,X0),X4,ext(X4,X5,X1,X2))
| ~ congruent(X0,X1,X2,X3,X4,X5) )
& ( sameside(ext(X4,X5,X1,X2),X4,X5)
| ~ congruent(X0,X1,X2,X3,X4,X5) )
& ( sameside(ext(X4,X3,X1,X0),X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X5) )
& ( sameside(ext(X1,X2,X4,X5),X1,X2)
| ~ congruent(X0,X1,X2,X3,X4,X5) )
& ( sameside(ext(X1,X0,X4,X3),X1,X0)
| ~ congruent(X0,X1,X2,X3,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_3a) ).
fof(f205,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( s_e(X6,X7,X8,X9)
| ~ s_e(X1,X7,X4,X9)
| ~ s_e(X1,X6,X4,X8)
| ~ sameside(X9,X4,X5)
| ~ sameside(X8,X4,X3)
| ~ sameside(X7,X1,X2)
| ~ sameside(X6,X1,X0)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_4) ).
fof(f212,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sameside(X6,X4,X7)
| ~ samesideline(X7,X5,X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X7)
| ~ samesideline(X6,X5,X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X6)
| s_col(X3,X4,X5)
| s_col(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_15b) ).
fof(f213,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_49a) ).
fof(f214,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(negated_conjecture,[status(cth)],[f213]) ).
fof(f230,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ s_e(X0,X2,X3,X5)
& s_e(X1,X2,X4,X5)
& s_e(X1,X0,X4,X3)
& congruent(X0,X1,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f214]) ).
fof(f231,plain,
( ~ s_e(sK0,sK2,sK3,sK5)
& s_e(sK1,sK2,sK4,sK5)
& s_e(sK1,sK0,sK4,sK3)
& congruent(sK0,sK1,sK2,sK3,sK4,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f230]) ).
fof(f319,plain,
! [X2,X0,X1] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( sameside(X0,X1,X3)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4,X5] :
( sameside(ext(X4,X5,X1,X2),X4,X5)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f202]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X4,X5] :
( sameside(ext(X4,X3,X1,X0),X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f202]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X4,X5] :
( sameside(ext(X1,X2,X4,X5),X1,X2)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f202]) ).
fof(f470,plain,
! [X2,X3,X0,X1,X4,X5] :
( sameside(ext(X1,X0,X4,X3),X1,X0)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f202]) ).
fof(f479,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( s_e(X6,X7,X8,X9)
| ~ s_e(X1,X7,X4,X9)
| ~ s_e(X1,X6,X4,X8)
| ~ sameside(X9,X4,X5)
| ~ sameside(X8,X4,X3)
| ~ sameside(X7,X1,X2)
| ~ sameside(X6,X1,X0)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f205]) ).
fof(f487,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sameside(X6,X4,X7)
| ~ samesideline(X7,X5,X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X7)
| ~ samesideline(X6,X5,X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X6)
| s_col(X3,X4,X5)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f212]) ).
fof(f488,plain,
~ s_e(sK0,sK2,sK3,sK5),
inference(cnf_transformation,[],[f231]) ).
fof(f489,plain,
s_e(sK1,sK2,sK4,sK5),
inference(cnf_transformation,[],[f231]) ).
fof(f490,plain,
s_e(sK1,sK0,sK4,sK3),
inference(cnf_transformation,[],[f231]) ).
fof(f491,plain,
congruent(sK0,sK1,sK2,sK3,sK4,sK5),
inference(cnf_transformation,[],[f231]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X3)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X1,X0,X4,X3),X1,X0)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X1,X2,X4,X5),X1,X2)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X4,X3,X1,X0),X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f468]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X4,X5,X1,X2),X4,X5)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f467]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_e(X6,X8,X7,X9)
| ~ sameside(X9,X4,X5)
| ~ sameside(X8,X1,X2)
| ~ sameside(X7,X4,X3)
| ~ sameside(X6,X1,X0)
| ~ s_e(X1,X8,X4,X9)
| ~ s_e(X1,X6,X4,X7)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X5,X4,X6)
| s_col(X3,X4,X7)
| s_col(X0,X1,X2)
| ~ samesideline(X6,X7,X4,X3)
| ~ samesideline(X5,X7,X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X6)
| ~ congruent(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_305,negated_conjecture,
congruent(sK0,sK1,sK2,sK3,sK4,sK5),
inference(cnf_transformation,[],[f491]) ).
tcf(c_306,negated_conjecture,
s_e(sK1,sK0,sK4,sK3),
inference(cnf_transformation,[],[f490]) ).
tcf(c_307,negated_conjecture,
s_e(sK1,sK2,sK4,sK5),
inference(cnf_transformation,[],[f489]) ).
tcf(c_308,negated_conjecture,
~ s_e(sK0,sK2,sK3,sK5),
inference(cnf_transformation,[],[f488]) ).
tcf(c_11972,plain,
( sameside(ext(sK1,sK0,sK4,sK3),sK1,sK0)
| ~ congruent(sK0,sK1,sK2,sK3,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_283]) ).
tcf(c_11973,plain,
( sameside(ext(sK1,sK2,sK4,sK5),sK1,sK2)
| ~ congruent(sK0,sK1,sK2,sK3,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_284]) ).
tcf(c_11974,plain,
( sameside(ext(sK4,sK3,sK1,sK0),sK4,sK3)
| ~ congruent(sK0,sK1,sK2,sK3,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_285]) ).
tcf(c_11975,plain,
( sameside(ext(sK4,sK5,sK1,sK2),sK4,sK5)
| ~ congruent(sK0,sK1,sK2,sK3,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_286]) ).
tcf(c_13809,plain,
( sameside(sK0,sK1,ext(sK1,sK0,sK4,sK3))
| ~ sameside(ext(sK1,sK0,sK4,sK3),sK1,sK0) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_13814,plain,
! [X0: $i] :
( sameside(X0,sK1,sK0)
| ~ sameside(ext(sK1,sK0,sK4,sK3),sK1,sK0)
| ~ sameside(X0,sK1,ext(sK1,sK0,sK4,sK3)) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_13900,plain,
( sameside(sK2,sK1,ext(sK1,sK2,sK4,sK5))
| ~ sameside(ext(sK1,sK2,sK4,sK5),sK1,sK2) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_13905,plain,
! [X0: $i] :
( sameside(X0,sK1,sK2)
| ~ sameside(ext(sK1,sK2,sK4,sK5),sK1,sK2)
| ~ sameside(X0,sK1,ext(sK1,sK2,sK4,sK5)) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_13982,plain,
( sameside(sK3,sK4,ext(sK4,sK3,sK1,sK0))
| ~ sameside(ext(sK4,sK3,sK1,sK0),sK4,sK3) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_13987,plain,
! [X0: $i] :
( sameside(X0,sK4,sK3)
| ~ sameside(ext(sK4,sK3,sK1,sK0),sK4,sK3)
| ~ sameside(X0,sK4,ext(sK4,sK3,sK1,sK0)) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_14049,plain,
( sameside(sK5,sK4,ext(sK4,sK5,sK1,sK2))
| ~ sameside(ext(sK4,sK5,sK1,sK2),sK4,sK5) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_14054,plain,
! [X0: $i] :
( sameside(X0,sK4,sK5)
| ~ sameside(ext(sK4,sK5,sK1,sK2),sK4,sK5)
| ~ sameside(X0,sK4,ext(sK4,sK5,sK1,sK2)) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_26706,plain,
( sameside(sK0,sK1,sK0)
| ~ sameside(sK0,sK1,ext(sK1,sK0,sK4,sK3))
| ~ sameside(ext(sK1,sK0,sK4,sK3),sK1,sK0) ),
inference(instantiation,[status(thm)],[c_13814]) ).
tcf(c_26707,plain,
( sameside(sK2,sK1,sK2)
| ~ sameside(sK2,sK1,ext(sK1,sK2,sK4,sK5))
| ~ sameside(ext(sK1,sK2,sK4,sK5),sK1,sK2) ),
inference(instantiation,[status(thm)],[c_13905]) ).
tcf(c_26708,plain,
( sameside(sK3,sK4,sK3)
| ~ sameside(sK3,sK4,ext(sK4,sK3,sK1,sK0))
| ~ sameside(ext(sK4,sK3,sK1,sK0),sK4,sK3) ),
inference(instantiation,[status(thm)],[c_13987]) ).
tcf(c_26709,plain,
( sameside(sK5,sK4,sK5)
| ~ sameside(sK5,sK4,ext(sK4,sK5,sK1,sK2))
| ~ sameside(ext(sK4,sK5,sK1,sK2),sK4,sK5) ),
inference(instantiation,[status(thm)],[c_14054]) ).
tcf(c_80150,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,sK2)
| sameside(sK5,sK4,X0)
| s_col(sK3,sK4,X1)
| ~ samesideline(sK5,X1,sK4,sK3)
| ~ samesideline(X0,X1,sK4,sK3)
| ~ congruent(sK0,sK1,sK2,sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_305,c_304]) ).
tcf(c_80662,plain,
! [X0: $i] :
( sameside(sK5,sK4,sK5)
| s_col(sK0,sK1,sK2)
| s_col(sK3,sK4,X0)
| ~ samesideline(sK5,X0,sK4,sK3) ),
inference(superposition,[status(thm)],[c_305,c_80150]) ).
tcf(c_80678,plain,
sameside(sK5,sK4,sK5),
inference(global_subsumption_just,[status(thm)],[c_80662,c_305,c_11975,c_14049,c_26709]) ).
tcf(c_82903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X1,X3)
| ~ sameside(X3,sK4,sK5)
| ~ sameside(X2,sK1,sK2)
| ~ sameside(X1,sK4,sK3)
| ~ sameside(X0,sK1,sK0)
| ~ s_e(sK1,X2,sK4,X3)
| ~ s_e(sK1,X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_305,c_296]) ).
tcf(c_84821,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK3,X1)
| ~ sameside(sK3,sK4,sK3)
| ~ sameside(sK0,sK1,sK0)
| ~ sameside(X1,sK4,sK5)
| ~ sameside(X0,sK1,sK2)
| ~ s_e(sK1,X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_306,c_82903]) ).
tcf(c_84908,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK3,X1)
| ~ sameside(X1,sK4,sK5)
| ~ sameside(X0,sK1,sK2)
| ~ s_e(sK1,X0,sK4,X1) ),
inference(global_subsumption_just,[status(thm)],[c_84821,c_305,c_11972,c_11974,c_13809,c_13982,c_26706,c_26708,c_84821]) ).
tcf(c_84922,plain,
( s_e(sK0,sK2,sK3,sK5)
| ~ sameside(sK5,sK4,sK5)
| ~ sameside(sK2,sK1,sK2) ),
inference(superposition,[status(thm)],[c_307,c_84908]) ).
tcf(c_84950,plain,
~ sameside(sK2,sK1,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_84922,c_308,c_80678]) ).
tcf(c_84952,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_84950,c_26707,c_13900,c_11973,c_305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO535+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 12:15:44 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 68.37/12.33 % SZS status Started for theBenchmark.p
% 68.37/12.33 % SZS status Theorem for theBenchmark.p
% 68.37/12.33
% 68.37/12.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 68.37/12.33
% 68.37/12.33 % ------ iProver source info
% 68.37/12.33
% 68.37/12.33 % git: date: 2026-07-19 20:42:38 +0200
% 68.37/12.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 68.37/12.33 % git: non_committed_changes: false
% 68.37/12.33
% 68.37/12.33 % ------ Parsing...
% 68.37/12.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 68.37/12.33
% 68.37/12.33 % ------ Preprocessing... sup_sim: 17 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 68.37/12.33
% 68.37/12.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 68.37/12.33
% 68.37/12.33 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 68.37/12.33 % ------ Proving...
% 68.37/12.33 % ------ Problem Properties
% 68.37/12.33
% 68.37/12.33 %
% 68.37/12.33 % clauses 273
% 68.37/12.33 % conjectures 4
% 68.37/12.33 % EPR 158
% 68.37/12.33 % Horn 180
% 68.37/12.33 % unary 37
% 68.37/12.33 % binary 96
% 68.37/12.33 % lits 898
% 68.37/12.33 % lits eq 208
% 68.37/12.33 % fd_pure 0
% 68.37/12.33 % fd_pseudo 0
% 68.37/12.33 % fd_cond 0
% 68.37/12.33 % fd_pseudo_cond 97
% 68.37/12.33 % AC symbols 0
% 68.37/12.33
% 68.37/12.33 % ------ Input Options Time Limit: Unbounded
% 68.37/12.33
% 68.37/12.33
% 68.37/12.33 % ------
% 68.37/12.33 % Current options:
% 68.37/12.33 % ------
% 68.37/12.33
% 68.37/12.33
% 68.37/12.33 %
% 68.37/12.33
% 68.37/12.33 % ------ Proving...
% 68.37/12.33 %
% 68.37/12.33
% 68.37/12.33 % SZS status Theorem for theBenchmark.p
% 68.37/12.33
% 68.37/12.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 68.37/12.33
% 68.37/12.33
%------------------------------------------------------------------------------