%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU941^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 : Wed Sep 30 08:31:59 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 54 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 130 ( 19 ~; 12 |; 15 &; 72 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 ^; 46 !; 12 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_7,type,
c: $tType ).
thf(type_def_8,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
sK0: a > b ).
thf(func_def_2,type,
sK1: b > c ).
thf(func_def_3,type,
sK2: a ).
thf(func_def_4,type,
sK3: a ).
thf(f1,conjecture,
! [X1: b > c,X0: a > b] :
( ( ! [X2: b,X3: b] :
( ( ( X1 @ X2 )
= ( X1 @ X3 ) )
=> ( X2 = X3 ) )
& ! [X3: a,X2: a] :
( ( ( X0 @ X2 )
= ( X0 @ X3 ) )
=> ( X2 = X3 ) ) )
=> ! [X3: a,X2: a] :
( ( ( X1 @ ( X0 @ X2 ) )
= ( X1 @ ( X0 @ X3 ) ) )
=> ( X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cFN_THM_1_pme) ).
thf(f2,negated_conjecture,
~ ! [X1: b > c,X0: a > b] :
( ( ! [X2: b,X3: b] :
( ( ( X1 @ X2 )
= ( X1 @ X3 ) )
=> ( X2 = X3 ) )
& ! [X3: a,X2: a] :
( ( ( X0 @ X2 )
= ( X0 @ X3 ) )
=> ( X2 = X3 ) ) )
=> ! [X3: a,X2: a] :
( ( ( X1 @ ( X0 @ X2 ) )
= ( X1 @ ( X0 @ X3 ) ) )
=> ( X2 = X3 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X1: a > b,X0: b > c] :
( ( ! [X3: b,X2: b] :
( ( ( X0 @ X2 )
= ( X0 @ X3 ) )
=> ( X2 = X3 ) )
& ! [X4: a,X5: a] :
( ( ( X1 @ X5 )
= ( X1 @ X4 ) )
=> ( X4 = X5 ) ) )
=> ! [X6: a,X7: a] :
( ( ( X0 @ ( X1 @ X7 ) )
= ( X0 @ ( X1 @ X6 ) ) )
=> ( X6 = X7 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X1: a > b,X0: b > c] :
( ? [X7: a,X6: a] :
( ( X6 != X7 )
& ( ( X0 @ ( X1 @ X7 ) )
= ( X0 @ ( X1 @ X6 ) ) ) )
& ! [X3: b,X2: b] :
( ( ( X0 @ X2 )
!= ( X0 @ X3 ) )
| ( X2 = X3 ) )
& ! [X5: a,X4: a] :
( ( ( X1 @ X5 )
!= ( X1 @ X4 ) )
| ( X4 = X5 ) ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
? [X1: a > b,X0: b > c] :
( ? [X7: a,X6: a] :
( ( X6 != X7 )
& ( ( X0 @ ( X1 @ X7 ) )
= ( X0 @ ( X1 @ X6 ) ) ) )
& ! [X5: a,X4: a] :
( ( ( X1 @ X5 )
!= ( X1 @ X4 ) )
| ( X4 = X5 ) )
& ! [X3: b,X2: b] :
( ( ( X0 @ X2 )
!= ( X0 @ X3 ) )
| ( X2 = X3 ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: a > b,X1: b > c] :
( ? [X2: a,X3: a] :
( ( X2 != X3 )
& ( ( X1 @ ( X0 @ X2 ) )
= ( X1 @ ( X0 @ X3 ) ) ) )
& ! [X4: a,X5: a] :
( ( ( X0 @ X4 )
!= ( X0 @ X5 ) )
| ( X4 = X5 ) )
& ! [X6: b,X7: b] :
( ( ( X1 @ X7 )
!= ( X1 @ X6 ) )
| ( X6 = X7 ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ( sK2 != sK3 )
& ( ( sK1 @ ( sK0 @ sK3 ) )
= ( sK1 @ ( sK0 @ sK2 ) ) )
& ! [X4: a,X5: a] :
( ( ( sK0 @ X5 )
!= ( sK0 @ X4 ) )
| ( X4 = X5 ) )
& ! [X6: b,X7: b] :
( ( ( sK1 @ X7 )
!= ( sK1 @ X6 ) )
| ( X6 = X7 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f6]) ).
thf(f8,plain,
! [X6: b,X7: b] :
( ( ( sK1 @ X7 )
!= ( sK1 @ X6 ) )
| ( X6 = X7 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
! [X4: a,X5: a] :
( ( ( sK0 @ X5 )
!= ( sK0 @ X4 ) )
| ( X4 = X5 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
( ( sK1 @ ( sK0 @ sK3 ) )
= ( sK1 @ ( sK0 @ sK2 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f11,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f7]) ).
thf(f15,plain,
! [X0: b] :
( ( ( sK1 @ ( sK0 @ sK2 ) )
!= ( sK1 @ X0 ) )
| ( ( sK0 @ sK3 )
= X0 ) ),
inference(constrained_superposition,[],[f8,f10]) ).
thf(f16,plain,
( ( sK0 @ sK3 )
= ( sK0 @ sK2 ) ),
inference(equality_resolution,[],[f15]) ).
thf(f18,plain,
! [X0: a] :
( ( ( sK0 @ sK2 )
!= ( sK0 @ X0 ) )
| ( sK3 = X0 ) ),
inference(constrained_superposition,[],[f9,f16]) ).
thf(f19,plain,
sK2 = sK3,
inference(equality_resolution,[],[f18]) ).
thf(f20,plain,
$false,
inference(forward_subsumption_resolution,[],[f19,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU941^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 14:52:10 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.28 % (184225)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.28 % (184230)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=707758587:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.28 % (184230) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-184225-184230"...
% 0.20/0.28 % (184230)...printing done.
% 0.20/0.28 % (184230)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (184230)------------------------------
% 0.20/0.28 % (184230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (184230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (184230)CaDiCaL version: 2.1.3
% 0.20/0.28 % (184230)Termination reason: Refutation
% 0.20/0.28 % (184230)Time elapsed: 0.001 s
% 0.20/0.28 % (184230)Peak memory usage: 12 MB
% 0.20/0.28 % (184230)Instructions burned: 2 (million)
% 0.20/0.28 % (184225)Success in time 0.033 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------